PLEASE HELP!!
Complete each statement from the information given and state the reasons and the triangle criterion you used. If the triangles cannot be shown to be congruent, leave the box for the second triangle blank and chose for a reason “Cannot be determined.”
a
Is ∆GAS ≅ △_____
By rule____
Answers
Answer:
ΔGAS ≅ ΔIOL By the Angle-Angle-Side (AAS) rule of congruency
Step-by-step explanation:
The given information are;
Statement \({}\) Reason
Segment \(\overline {SA}\) is congruent to \(\overline {OL}\) \({}\)As shown in the diagram provided
∠SAG is congruent to ∠LOI \({}\) As shown in the diagram provided
∠SGA is congruent to ∠LIO \({}\) As shown in the diagram provided
Therefore, ΔGAS ≅ ΔIOL By the Angle-Angle-Side (AAS) rule of congruency
Given that the the number of interior angles of triangle = 3 and the sum of the interior angles of a triangle = 180°, the third angle can be defined by specifying the measure of two of the angles
Therefore, the Angle-Angle (AA) rule of similarity can be used to prove the congruency of two triangles when they have one side of each triangle which are congruent.
Answer:
∆GAS ≅ △IOL By rule ASA, AAS
Step-by-step explanation:
By looking at the triangle, you can see two little quarter-circle things inside the triangle (I don't know what they are called). That means it has 2 angles. We already know that it can't be SSS or SAS because we have 2 angles, as I said.
If you look at the triangle's sides, you can see that there is a side with a dash on it. That means that it is a side in ASA, AAS, etc. So there we go. We've figured it out. There is one side and two angles. Therefore, our answer is ASA or AAS
Related Questions
Anna, Laura and David each earn the same monthly salary.
Each month, Anna saves 19 percent of her salary and spends the rest of it.
Laura spends 17/20 of her salary and saves the rest of it.
Amount of salary David saves : amount of salary he spends =2:8.
Work out who saves the most of their salary each month.
Show how you got your answer.
Answers
Anna: 19%
Laura: 17/20 then times by 5 to get 85%
therefore she saves 15%
David: 2:8 = 2/10 saved = 20%
so david saves the most
Rob has $1.65 in nickels and dimes.He has 25 coins in all. How many of each kind of coin are there
Answers
rob has 8 dimes and 17 nickels in $1.65
WHAT ARE LINEAR EQUATION ?There is only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All the points fall on the same line when the values that together make a linear equation true are determined and plotted on a coordinate grid.
CALCULATIONLet n represent nickels & d dimes
given: n + d = 25 #1 (number of coins)
given: .05n + .10d = 1.65 #2 (amount in dollars)
n = 25 - d #3 (rewrite of #1)
.05(25 -d) + .10d = 1.65 (substitute #3 in #2)
1.25 - .05d + .10d = 1.65 (multiply out the left side)
.05d = .40 (collection of like terms)
d = 8 (divided both sides by.05)
n + 8 = 25 (substitute answer for d in #1)
n = 17 (subtract both sides by 8)
There are 8 dimes and 17 nickels.
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compute the annual cost of each of the following expenses. $18 a week on lottery tickets;150 per month on gasoline. complete the sentence: on an annual basis, the first set of expenses is what % of the second set of expenses
Answers
On an annual basis, the first set of expenses (lottery tickets) is 52% of the second set of expenses (gasoline).
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To compute the annual cost of each expense, we can use the following formulas:
Annual cost of $18 a week on lottery tickets = $18 x 52 weeks = $936
Annual cost of $150 per month on gasoline = $150 x 12 months = $1800
To find the percentage of the first set of expenses (lottery tickets) relative to the second set of expenses (gasoline), we can divide the annual cost of the lottery tickets by the annual cost of gasoline and multiply by 100:
Percentage of lottery ticket expenses relative to gasoline expenses = ($936 / $1800) x 100% = 52%
Therefore, we can complete the sentence as follows: On an annual basis, the first set of expenses (lottery tickets) is 52% of the second set of expenses (gasoline).
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Consider △RST and △RYX.
Triangle R S T is shown. Line X Y is drawn parallel to side S T within triangle R S T to form triangle R Y X.
If the triangles are similar, which must be true?
StartFraction R Y Over Y S EndFraction = StartFraction R X Over X T EndFraction = StartFraction X Y Over T S EndFraction
StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction X Y Over T S EndFraction
StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction R S Over R Y EndFraction
StartFraction R Y Over R X EndFraction = StartFraction R S Over R T EndFraction = StartFraction X Y Over T S EndFraction
Answers
Answer:
B. \(\frac{RY}{RS}\) = \(\frac{RX}{RT}\) = \(\frac{XY}{TS}\), must be true.
Step-by-step explanation:
Similar figures are figures whose angles and sides are similar with respect to a definite ratio when compared.
From the given question, note that ΔRXY is within ΔRST. Given that the two triangles are similar, then their sides can be compare in a form of ratio as:
\(\frac{RY}{RS}\) = \(\frac{RX}{RT}\) = \(\frac{XY}{TS}\)
Therefore by comparing the length of sides of the triangles, option B must be true.
The dimensions of one of two triangles that are similar can be obtained
from the other triangle by multiplying by a scale factor.
The statement that must be true is; \(\displaystyle \underline{ \frac{RY}{RS} = \frac{RX}{RT} = \frac{XY}{TS}}\)Reasons:
The given relationship between the triangles are;
Line XY is drawn within ΔRST to form ΔRYX.
XY is parallel to ST
Given that we have;
Point X on side RT and point Y on side RS of ΔRST
ΔRST is similar to ΔRYX, we get;
The ratio of the corresponding sides are equal, which gives;
\(\displaystyle \frac{RY}{RS} = \frac{RX}{RT} = \frac{XY}{TS}\)
Therefore;
The option that gives the statement that must be true is; \(\displaystyle \underline{\frac{RY}{RS} = \frac{RX}{RT} = \frac{XY}{TS}}\)
which is the same as the option; StartFraction RY Over RS EndFraction =
StartFraction RX Over RT EndFraction = StartFraction XY Over TS
EndFraction.
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On a map, the beach is 4 inches from downtown Galveston. If the map has a scale of 1 inch = 3.5 miles, what is the actual Distance between downtown and the beach?
Answers
\( 350 \mathrm{y} \) C P sas \( \cos u \)
Answers
The given expression, \(\(350y \cdot C \cdot \cos(u)\)\), involves variables \(\(y\), \(C\)\), and \(\(u\)\) and their respective operations and functions.
The expression \(\(350y \cdot C \cdot \cos(u)\)\) represents a mathematical equation involving multiplication and the cosine function. Let's break down each component:
1. \(\(350y\)\) represents the product of the constant value 350 and the variable \(y\).
2. \(\(C\)\) is a separate variable that is being multiplied by \(\(350y\)\).
3. \(\(\cos(u)\)\) represents the cosine of the variable \(\(u\)\).
The overall expression represents the product of these three terms: \(\(350y \cdot C \cdot \cos(u)\)\).
To evaluate this expression or derive any specific meaning from it, the values of the variables \(\(y\), \(C\)\), and \(\(u\)\) need to be known or assigned. Without specific values or context, it is not possible to provide a numerical or simplified result for the given expression.
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Calculate the speed of a car that goes 125 km in 2 hours
Answers
Answer:
64.5 km
Step-by-step explanation:
125/ 2
= 64.5 km/hr
Write in point-slope form, slope-intercept form, and standard form an equation that passes through (-1,2) with slope 4.
Answers
point slope form:y-2=4(x+1)
then distribute 4 and simplify y-2=4x+4 , y=4x+6 is the slope -y intercept form
then, move 4x on the left side, you get -4x+y=6 , multiply every term by -1, you get 4x-y=-6 which is standard form.
If a fair coin is tossed 8 times, what is the probability, rounded to the nearest thousandth, of getting at most 2 heads?
Answers
After rounded to the nearest thousandth, the probability of getting at most 2 heads in 8 coin tosses is 0.109.
Now, The probability of getting at most 2 heads in 8 coin tosses can be calculated using the binomial distribution formula.
Since, The formula is
P(X ≤ 2) = Σ C(n, x) pˣ (1-p)ⁿ⁻ˣ,
where n is the number of trials (in this case, 8), x is the number of successful events (heads), p is the probability of a successful event (0.5 for a fair coin), and Σ means to add up the values of the expression for all values of k from 0 to 2.
Hence, Using this formula, we get
P(X ≤ 2) = C(8,0) 0.5 0.5 + C(8,1) 0.5 0.5 + C(8,2) 0.5 0.5
≈ 0.109.
Therefore, After rounded to the nearest thousandth, the probability of getting at most 2 heads in 8 coin tosses is 0.109.
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A line has a slope of - Which ordered pairs could be points on a parallel line? Select two options.
(-8, 8) and (2, 2)
(-5, -1) and (0, 2)
(-3, 6) and (6,-9)
(-2, 1) and (3,-2)
(0, 2) and (5, 5)
Answers
The ordered pairs that could be points on a parallel line are:
(-8, 8) and (2, 2)
(-2, 1) and (3, -2)
Which ordered pairs could be points on a parallel line?Parallel lines have the same slope. Thus, we have to find ordered pairs with a slope of -3/5.
We have:
slope of the line is -3/5.
Thus, m = -3/5
Formula for slope between two coordinates is;
m = (y₂ - y₁)/(x₂ - x₁)
A) At (–8, 8) and (2, 2);
m = (2 - 8)/(2 - (-8))
m = -6/10
m = -3/5
B) At (–5, –1) and (0, 2);
m = (2 - (-1))/(0 - (-5))
m = 3/5
C) At (–3, 6) and (6, –9);
m = (-9 - 6)/(6 - (-3))
m = -15/9
m = -5/3
D) At (–2, 1) and (3, –2);
m = (-2 - 1)/(3 - (-2))
m = -3/5
E) At (0, 2) and (5, 5);
m = (5 - 2)/(5 - 0)
m = 3/5
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The graph shows the types of activities that 200 students participated.How many students participated in dance?How many more students participated in Dodgeball than in Basketball?Basketball 25%Dance 25%Rugby 10%Dodgeball 40%
Answers
A.) How many students participated in dance?
Based on the chart, 25% of the students participated in the dance. Let's determine the actual number out of 200 students:
\(\text{ 25\% of 200 = 200 x }\frac{25}{100}\text{ = 200 x 0.25 = 50 Students}\)Therefore, there are 50 Students that participated in the dance.
B.) How many more students participated in Dodgeball than in Basketball?
\(\text{ (200)(}\frac{40}{100})\text{ - (200)(}\frac{25}{100})\text{ = (200)(0.40) - (200)(0.25)}\)\(\text{ = 80 - 50}\)\(\text{ = 30 Students}\)Therefore, there are 30 more students that participated in Dodgeball than in Basketball.
Find the description of the vector of the "non-bar" system with respect to the bar system of ˉ
1
x
ˉ
2
=x 1
x 2
=(x 2
) 2
b) Find the Matrix ∂ x
ˉ
j
∂x i
c) The inverse matrix of b) its ∂x j
∂ x
ˉ
i
Answers
The vector of the "non-bar" system with respect to the bar system is given by ˉ1xˉ2=x 1x 2=(x 2) 2.
In the given question, we have a vector equation ˉ1xˉ2=x 1x 2=(x 2) 2, which represents the transformation between the "non-bar" system and the bar system. Let's break it down step by step.
The vector equation ˉ1xˉ2=x 1x 2=(x 2) 2 indicates that the coordinates of the "non-bar" system, denoted as x1 and x2, are related to the coordinates of the bar system.
To understand the transformation between the two systems more comprehensively, we can express it in the matrix form ∂xˉj∂x i, where i and j represent the indices of the coordinates. This matrix represents the partial derivatives of the coordinates of the "non-bar" system with respect to the coordinates of the bar system.
To find the inverse matrix of the matrix from step 2, we can calculate the partial derivatives ∂x j∂ xˉi. This inverse matrix will provide us with the transformation from the bar system back to the "non-bar" system.
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20 cm
16 cm
10 cm
12 cm
V=
help quick pleaseeeeeeeeeeeeeeeeeeeee
Answers
we multiply the length, width, and height together, which gives a volume of 3200 cubic cm.
The given measurements represent the dimensions of a rectangular prism or box. The first number 20 cm represents the length of the box, the second number 16 cm represents the width, and the third number 10 cm represents the height.
Therefore, the volume of the box can be found by multiplying the length, width, and height together as V = l x w x h. Substituting the given values, we get V = 20 cm x 16 cm x 10 cm = 3200 cubic cm.
In summary, the given measurements represent the dimensions of a rectangular prism or box. To find the volume of the box, we multiply the length, width, and height together, which gives a volume of 3200 cubic cm.
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Notice that all eight of the angles in the center of the pattern meet to form a circle. Let a° represent the measure of each pink central angle and b° represent the measure of each green central angle.
Which of the following equations are true? Select all that apply.
(1) 4a° = 180°
(2) 2b° = 90°
(3) 4a° + 4b° = 360°
(4) a° = 90° - b°
(5) 2(a° + b°) = 180°
Answers
Answer:
1 3 4 mark brainliest and good luck
Answer:
give other person brainly
Step-by-step explanation:
i need help pls (づ｡◕‿‿◕｡)づ
Answers
Answer:
no shortcuts can be used
Answer:
You need to multiply the number of choices in both sets.
Step-by-step explanation:
For example, you have an outcome being 4. You need to multiply the two numbers to get the outcome. Same with the rest of the outcomes in the chart.
Hope this helps!
Two angles are complementary. The measure of the larger angle is 14° less than 3 times the measure of the smaller angle.
The measure of the smaller angle is ____
degrees and the measure of the larger angle is ____ degrees.
Answers
Answer:
Step-by-step explanation:
Comment
2 angles are complementary means together they = 90 Degrees.
Let the smaller angle be x
The complement = 3*x - 14 It is the larger angle.
Givens
<1 = x
<2 = 3x - 14
<1 + <2 = 90
Solution
x + 3x -14 = 90 Combine the left
4x - 14 = 90 Add 14 to both sides
4x - 14+14 = 90 + 14 Combine
4x = 104 Divide both sides by 4
4x/4 = 104/4
x = 26
Answer
<1 = 26
<2 = 3*26 - 14
<2 = 78 - 14
<2 = 64
Dr. Porterfield has a choice of bread (pink, purple), meat (ham, turkey, beef) and Cheese (American, Swiss, Portugues, Japanese) at a sandwich shop. What is the probability he will select a sandwich on purple bread with either beef or turkey and has Japanese cheese
Answers
Answer:
The probability is 0.08\(\overline 3\)
Step-by-step explanation:
The choice of bread Dr Porterfield has = Pink, purple
The number of types of breads = 2
The choices of meat = Ham, turkey, beef
The number of types of meat = 3
The choice of cheese = American, Swiss, Portuguese, Japanese
The number of types of cheese = 4
The probability of selecting purple bread from pink or purple = 1/2
The probability of selecting beef or turkey from the 3 choices of meat = 2/3
The probability of selecting Japanese cheese from the fourvtypes of cheese = 1/4
Therefore, the probability he will select a sandwich on purple bread with either beef or turkey and has Japanese cheese = (1/2) × (2/3) × (1/4) = 2/24 = 1/12 = 0.08\(\overline 3\)
Rotate the shape 180 degreas
Answers
After rotation the shape 180 degree new coordinates are, (- 1, - 2) , (- 4, - 2) and (- 4, - 4) and the figure is shown in graph.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The shape is shown in figure.
Here, The coordinates of triangles are,
⇒ 1, 2) , ( 4, 2) and ( 4, 4).
We know that;
The rule of rotation about 180 degree is,
⇒ (x, y) → (- x, - y)
Thus, The new coordinates are,
⇒ (- 1, - 2) , (- 4, - 2) and (- 4, - 4)
So, The figure after rotate about 180 degree is shown in figure.
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Jacinto está cercando un terreno de forma rectangular. Cuando lleva puesto alambre a dos lados consecutivos de la tierra, se da cuenta que ha gastado 170 m de alambre. Si sabe que la diagonal del rectángulo mide 130 m, ¿cuáles son las dimensiones y el área del terreno?
Answers
Answer:
Step-by-step explanation:
Given the perimeter of the rectangular shape = 170m
Length of the diagonal = 130m
Perimeter = 2L + 2W
diagonal d² = L² + w²
L is the length of the terrain
w is the width
140 = 2L + 2W
70 = L+W ..... 1
130² = L²+w² ..... 2
from 1, L = 70-w
substitute into 2;
130² = (70-w)²+w²
130² = 4900-140w + 2w²
16900 = 4900-140w + 2w²
2w²-140w - 12000 = 0
w²-70w - 6000 = 0
On factorizing;
(w+50)(w−120) = 0
w - 120 = 0
w = 120 m
Since L = 70 - w
L = 70 - 120
L = -50m
Hence the dimension is 120m by 50 m
A peach orchard owner wants to maximize the amount of peaches produced by his orchard.
He cannot simply plant as many trees as he can, since planting more trees will decrease the amount of fruit that each tree produces (the yield of each tree).
He has found that the per-tree yield can be described by the equation
Y = 1200 - 15 x.
Here Y is the yield per tree and x is the number of trees planted per acre.
For example, if there were 10 trees planted per acre, each tree would produce 1200 - 15 * 10 = 1050 peaches.
Find the number of trees per acre that should be planted in order to produce the maximum crop and the resulting total yield.
Number of trees per acre : trees per acre
Total yield : peaches per acre
Answers
To maximize the amount of peaches produced by the orchard, the peach orchard owner should plant a certain number of trees per acre. The per-tree yield is given by the equation Y = 1200 - 15x, where Y represents the yield per tree and x represents the number of trees planted per acre.
To find the number of trees per acre that maximizes the crop yield, we need to determine the value of x that corresponds to the vertex of the equation. The vertex of a downward-opening parabola, represented by the given equation, occurs at the x-coordinate given by x = -b / (2a).
In this case, the coefficient of x is -15 and the constant term is 0, so b = 0 and a = -15. Substituting these values into the formula, we get x = -0 / (2 * -15) = 0.
While the mathematical calculation suggests that planting zero trees per acre would maximize the yield, this result is not practical. Therefore, the closest feasible value greater than zero would be 1 tree per acre.
For 1 tree per acre, substituting x = 1 into the equation, we find that each tree would produce a yield of Y = 1200 - 15 * 1 = 1185 peaches. Consequently, the resulting total yield would be 1185 peaches per acre.
Number of trees per acre: 1 tree per acre
Total yield: 1185 peaches per acre
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100, 50, 0, -50, What is the common difference for the sequence
Answers
Answer:
d = - 50
Step-by-step explanation:
common difference is
50 - 100 = 0 - 50 = - 50 - 0 = - 50
Karen is making 14 different kinds of greeting cards. She is making 12 of each kind. How many greeting is she making.
Answers
Is 4π a integer ,rational, natural
Answers
Answer:
None of the above
Step-by-step explanation:
π by itself is irrational, so multiplying it by any number except 0 will keep it irrational, which means it's not rational, a natural number, or an integer
Answer:
4π is irrational
Step-by-step explanation:
the question is in the attachment...
Answers
Answer:
11 minutes. 1/4 of 44 is 11
Pablo generates the function f (x) = three-halves (five-halves) superscript x minus 1 to determine the xth number in a sequence.
Answers
The equation represent to determine the \(x^n\) number in a sequence is this function f( x+1) = 5/2 f(x). This is the equation used to determine the xth number in a sequence.
Here, these values are given,
f(x) = 3/2 [5/2] x-1 [ After putting the values of f(x)}
So,here from this ,the equation will become ,
f(x+1) = 3/2 [ 5/2] x+1-1
f(x+1) = 3/2 [5/2] x
Here, 5/2 f(x)= 5/2×3/2 [5/2] x-1
5/2 f(x) = 3/2 [5/2] x-1+1
5/2 f(x) = 3/2 [5/2] x
So, f(x+1) =[ 5/2]f (x)
So, this will be the equation for this function .
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\(f(x) = (3/2)^(5/2)^(x - 1)\) this function can be used to calculate the xth number in the sequence for any given value of x.
f(x) is the function that will generate the xth number in the sequence.
The function is written as:
\(f(x) = (3/2)^(5/2)^(x - 1)\)
This can be read as:
Take 3/2 (three halves) to the power of 5/2 (five halves) to the power of x minus 1.
This will generate the xth number in the sequence.
The function f(x) is used to determine the xth number in a sequence. It is written as: f(x) = \((3/2)^(5/2)^(x - 1)\). This means that we take the number 3/2 (three halves) and raise it to the power of 5/2 (five halves) and then to the power of x minus 1. This will generate the xth number in the sequence, where x is the position in the sequence. For instance, if x is 5, then the fifth number in the sequence will be generated using the function f(x). Therefore, this function can be used to calculate the xth number in the sequence for any given value of x.
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which one is the missing symbol.
4/5 ? 1/2
A. >
B. <
C. =
Answers
SOLVING STEPS: rearrange from smallest to largest
The correct symbol in between numbers is,
⇒ 4/5 > 1/2
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The numbers are,
⇒ 4/5 and 1/2
Now, We can make denominator equal as;
LCM of 5, 2 = 10
Hence, We get;
⇒ 4/5
⇒ 8/10
⇒ 1/2
⇒ 5/10
Thus, We get;
⇒ 4/5 > 1/2
Therefore, The correct symbol in between numbers is,
⇒ 4/5 > 1/2
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During two games, the number of points scored by a basketball team increased from 5 to 3 by what did the number of points scored increase?
Answers
EXPLANATION
Let's see the facts:
The increasing rate is:
\(Increa\sin g\text{ rate=}\frac{5}{3}=1.67\)The increasing rate is 1.67
In percentage this is:
\(Increa\sin g=\frac{3}{5}\cdot100=\frac{3}{5}\cdot100=60\)The percentage of increasing is of 60%.
Joan’s parents deposited $2,000 into a savings account as a college fund when she was born. How much will Joan have in total in this account after 18 years at a yearly simple interest rate of 3.25%?
Answers
Answer:
1170.
Step-by-step explanation:
.0325 x 18 = 0.585
0.585 x 2000 = 1170.
What is the product of 1/2 and 2/3
Answers
Answer:
1/3
Step-by-step explanation:
Answer:
it is 1/3
Step-by-step explanation:
it's 1/3 because 1/2 times 2/3 equals 2/6 and you can divide 2 by 2 to get 1 and 6 by 2 to get 3 so the answer is 1/3
evaluate :5+1/6(-5/3)
Answers
Answer:
Step-by-step explanation:
Use PEMDAS
First you do the multuplication of
1/6*(-5/3)=-5/18
Next you do the addition
5+(-5/18)= 90/18-5/18= 85/18