Find the value of x and z
Answers
we have, the opposite angles at the vertex have the same measure, therefore:
\(\begin{gathered} 11x+54=12x+52 \\ 11x+54-54=12x+52-54 \\ 11x=12x-2 \\ 11x-12x=12x-2-12x \\ -x=-2 \\ x=2 \end{gathered}\)then,
\(\begin{gathered} angle1\colon11(2)+54=22+54=76 \\ \text{angle}2\colon\text{ 12(}2)+52=24+52=76 \end{gathered}\)and we have the sum of all 4 angles is equal to 360 and as I said before, the opposite angles by the vertex have equal measure, so:
\(\begin{gathered} angle\text{ 3 + 76 + 76 + z = 360} \\ \text{angle 3 +152 + z = 360} \\ \text{then, angle 3 = z } \\ z+152+z=360 \\ 2z+152=360 \\ 2z+152-152=360-152 \\ 2z=208 \\ \frac{2z}{2}=\frac{208}{2} \\ z=104 \end{gathered}\)answer: x = 2 and z = 104
Related Questions
A local diner uses 4 2/3 pounds of meat to make five hamburgers. How much meat is used to make one hamburger?
Answers
Answer:14/15 pounds of meat
Step-by-step explanation:
SO, 4 2/3=14/35 HAMBURGERS ARE MADE BY USING 14/3 POUNDS OF MEAT1 HAMBURGER IS MADE BY USING 14/3×1/5 OR,14/15 POUNDS OF MEAT.BASICALLY THE ANSWER IS:14/15 pounds of meat is used to make one hamburger.is The product of (a − b)(a − b) is a perfect square trinomial.
Answers
which one is greater -6 or 6
Answers
Answer:
6 is greater than -6
Explanation:
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Evaluate the following equation for p:
-3p + 6 + 7p = 22
Answers
Answer:
4
Step-by-step explanation:
-3p+6+7p=22
-3p+7p=16
4p=16
p=4
Answer:
p = 4
Step-by-step explanation:
-3p+6+7p = 22
-6 -6
----------------------
-3p+7p = 16
4p = 16
--- ---
4 4
------------
p = 4
The expression 14 ^ 6= 14^4 is equal to
14^2
1
2
14^10
Answers
Answer:14^2
Step-by-step explanation:
Answer:
14^2
Step-by-step explanation:
:)
if a clock's second hand is one inch long, how many miles, to the nearest mile, does the second hand on the clock above travel in 7 days?
Answers
The hand will cover a distance of 1055.04 inches in 7 days.
To establish the distance covered by the hand's point would go in a week, we would first need to determine the radius of the clock's circle, for which the hand serves as a proxy .
To accomplish this, we would utilize the equation 2(pi*radius),
where pi equals 3.14.
The solution to p=2(3.14*1 ) is 6.28 inches.
This indicates that the hand's point moves 6.28inch every 1 hours.
To determine how far the hand moves in a 168 hour, we would multiply 6.28 inch by 168.
As a result, we arrive at the final calculation of 168 inches covered in 7 days as 1055.04 inches.
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Lot 1 lies where two roads meet at a 79° angle. Lot 2 lies where two roads meet at a 65° angle. Lot 3 lies where two roads meet at a 36° angle. All lots have two sides measuring 20 feet as shown. A triangle is shown. At each of the points of the triangle, a line representing a fence is drawn to form a smaller triangle at each point. All other sides of the smaller triangles are 20 feet. Lot 1 lies where the angle is 79 degrees. Lot 2 lies where the angle is 65 degrees. Lot 3 lies where the angle is 36 degrees. A fence runs along the back wall of each property, as shown in the diagram. Which lot has the longest fence along the back wall? Which lot has the shortest fence along the back wall?
Answers
Answer: First is Lot 1
Second is Lot 3
Step-by-step explanation:
Answer:
First answer is Lot 1
Second Answer is Lot 3
Step-by-step explanation:
Karen and Bill collect coins. Karen has x coins. Bill has 4 coins fewer than four times the number of coins Karen has. Write and simplify an expression for the total number of coins Karen and Bill have.
Answers
Explanation:
x = number of coins Karen has
4x = four times the number of coins she has
4x-4 = number of coins Bill has, four fewer than 4x
Add up the first and third expressions to get
(x) + (4x-4) = (x+4x) - 4 = 5x-4
The two of them have a combined 5x-4 coins
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the amount of ingredients proportional?
Answers
Answer:
2.5 cups of milk will make his ingredients proportional.
Step-by-step explanation:
Since he used five out of the three cups of flour he was supposed to use, you can use that as the fraction: 5/3.
Since 5/3 was used on the flour, it also has to be used on the milk
To apply it to the milk, you just multiply 5/3 × 1.5 cups of milk, which gets you 2.5 cups of milk
*Multiplying by a fraction also means of.
Example: 1/2 × 4 = 2 because two is 1/2 of 4
(21. Little to big ratio:22. Litt5712кGх2PJHProportion to solve for x:ProportX =FH =X=MNIII
Answers
Using the properties of similar triangles and ratio and proportion we get the vale of x as 2.8 units.
In the given figure the triangle ΔKFG and ΔFJH
KG is parallel to JH
Hence ΔKFG is similar to ΔFJH
Now using the property of similarity and proportion we can say that:
FG/FH = KF/JF
putting the values in the above proportion we get:
7 /(7+x) = 5/ 7
or, 49 = 35 +5 x
or, 14 = 5x
or, x =14/5
or, x = 2.8
The majority of ratio and percentage explanations involve using fractions.
A proportion states that two variables are equal, whereas a ratio is a fraction that is written as a:b. The two ratios given are equal to one another, as demonstrated by the proportional equation.
Hence the value of x is 2.8 units.
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a bicycle is traveling at 12 miles per hour. how many feet will it cover in 40 seconds? round your answer to the nearest tenth of a foot.
Answers
If a bicycle is traveling at 12 miles per hour, then it will cover a distance of 704 feet in 40 seconds.
To find the distance covered in feet in 40 seconds, follow these steps:
The formula for the conversion of miles to feet is 1 mile = 5280 feet. Since we need to calculate the distance in feet and speed is given in miles per hour, we need to convert the speed to feet per second. Hence, speed in feet per second = 12 miles/hour × 5280 feet/mile × 1 hour/3600 seconds= 17.6 feet/secondSince speed = distance/time, we can re-arrange the formula to obtain Distance = speed × time ⇒Distance = 17.6 feet/second × 40 seconds ⇒Distance = 704 feetHence, the bicycle will cover 704 feet in 40 seconds
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no links please Angle A measures 50 degrees. If angle A is rotated 45 degrees, what is the measure of angle A'?
Answers
Answer:
95? Sorry if I'm wrong.... :)
Step-by-step explanation:
please help me with this geometry question
Answers
Answer:
Step-by-step explanation:
a)
Because if you visualize the formation of it size x will fit perfectly on the 6cm side therefore x = 6cm
b)
6 x 9 = 54cm
helpppppppppppppp
....
Answers
Answer: Suzie’s answer is incorrect.
Step-by-step explanation: the answer to the equation if x=-4 is actually 62
Answer:
Suzie’s answer is incorrect.
Step-by-step explanation:
the answer to the equation if x=-4 is actually 62
Solve: 4x+3y=1 x=1-y
Answers
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−2,3)
Equation Form:
x=−2,y=3
but
Solve for x
y=−4x3+13
y=−x+1
Step-by-step explanation:
Prove the following generalization of the Distributive law for logical expressions For any integer n 2 2 VV (2 ^z^. Azn) = (#VI)^(vV zx)A = Alv VTn) You can use the Astribulive law for {Wo variables Iri your prool y V (r1 ^za) = (vV21) ^ (vV c2)
Answers
To prove the generalization of the Distributive law for logical expressions, we will use mathematical induction.
For the base case, let n = 2. Then we have:
\((V1 ^ z1) ^ (V2 ) = ((V1 ^ z1) ^ z2) ^ ((V2 ^ z2) ^ z1)\) (by Associative law)
=\(((V1 ^ z2) ^ z1) ^ ((V2 ^ z2) ^ z1)\)(by Commutative law)
=\((V1 ^ (z2 ^ z1)) ^ (V2 ^ (z2 ^ z1))\) (by Associative law)
=\((V1 ^ Az2) ^ (V2 ^ Az1)\)(by definition of Az)
=\((V1 ^ V2) ^ (Az1 ^ Az2)\) (by Distributive law for two variables)
This proves the base case.
For the inductive step, assume that the Distributive law holds for n = k, i.e.,
\((V1 ^ z1) ^ (V2 ^ z2) ^ ... ^ (Vk ^ zk) = (V1 ^ V2 ^ ... ^ Vk) ^ (Az1 ^ Az2 ^ ... ^ Azk)\)
We want to prove that the Distributive law holds for n = k + 1, i.e.,
\((V1 ^ z1) ^ (V2 ^ z2) ^ ... ^ (Vk+1 ^ zk+1) = (V1 ^ V2 ^ ... ^ Vk ^ Vk+1) ^ (Az1 ^ Az2 ^ ... ^ Azk ^ Azk+1)\)
To do this, we use the Distributive law for two variables:
\((A ^ B) ^ C = (A ^ C) ^ (B ^ C)\)
Let A =\((V1 ^ z1) ^ (V2 ^ z2) ^ ... ^ (Vk ^ zk),\)B = Vk+1, and C = zk+1. Then we have:
\((A ^ B) ^ C = ((V1 ^ z1) ^ (V2 ^ z2) ^ ... ^ (Vk ^ zk)) ^ Vk+1 ^ zk+1\)
\(= ((V1 ^ z1) ^ (V2 ^ z2) ^ ... ^ (Vk ^ zk) ^ Vk+1) ^ (zk+1 ^ Vk+1) (\)by Associative and Commutative laws)
\(= (V1 ^ V2 ^ ... ^ Vk ^ Vk+1) ^ ((Az1 ^ Az2 ^ ... ^ Azk) ^ Azk+1)\) (by inductive hypothesis and definition of Az)
= \((V1 ^ V2 ^ ... ^ Vk ^ Vk+1) ^ (Az1 ^ Az2 ^ ... ^ Azk ^ Azk+1)\)(by Distributive law for two variables)
This completes the proof by mathematical induction.
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If your car can travel 40.5 mi on 3 gal of gasoline how many miles can the car travel on 28 gal of gasoline under similar driving conditions?
Answers
Answer:
378 Miles
Step-by-step explanation:
40.5 / 3 = 13.5
13.5 * 28 = 378
Kelsey received 9 birthday gifts from her friends. Three gifts were wrapped in yellow
paper, 3 gifts were wrapped in red paper, 2 gifts were wrapped in purple paper, and
1 gift was wrapped in orange paper. What is the probability that the first gift Kelsey
opened was wrapped in purple paper?
Answers
Answer: 2/9
Step-by-step explanation:
From the question, we are told that
Kelsey received 9 birthday gifts from her friends and that three of the gifts were wrapped in yellow
paper. Also, 3 gifts were wrapped in red paper, 2 gifts were wrapped in purple paper, while the remaining
1 gift was wrapped in orange paper.
The probability that the first gift will be in purple paper will be the number of gifts in purple paper divided by the total number of gifts. This will be:
= 2/9
What is the value of x in the figure?
Enter your answer in the box.
to
X=
61°
Answers
Answer:Three lines creating six angles
3 angles on top, 3 angles below
Since the top left angle is a right angle
It means the line that divides the top angles from the angles below is bisected by a perpendicular line.
This means the sum of the angles of the top left = 90°
Therefore, x + 61° = 90°
x = 90° – 61°
x = 29°
(1) An architect firm uses an average of 60 boxes of copier paper a day. The fim operates 280 days a year. Storage and handling costs for the paper are $30 a year per box, and its costs approximately $60 to order and receive a shipment of paper. (a) What quantity order size would minimize the total annual inventory cost? (b) Determine the minimum total annual inventory cost. (c) The office manager is currently using an order size of 300 boxes. The partners of the firm expect the office to be managed "in a cost-efficient manner." Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes):
Answers
Part a: What quantity order size would minimize the total annual inventory cost? Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying Cost At minimum Total Annual Inventory Cost, the formula for the Economic Order Quantity (EOQ) is used. EOQ formula is given below: EOQ = sqrt((2DS)/H)Where, D = Annual DemandS = Ordering cost
The company should place an order for 168 boxes at a time in order to minimize the total annual inventory cost.Part b: Determine the minimum total annual inventory cost.Using the EOQ, the company can calculate the minimum total annual inventory cost. The Total Annual Inventory Cost formula is:Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying CostAnnual Ordering Cost = (D/EOQ) × S = (16,800/168) × $60 = $6,000Annual Carrying Cost = (EOQ/2) × H = (168/2) × $30 = $2,520Total Annual Inventory Cost = $6,000 + $2,520 = $8,520Therefore, the minimum Total Annual Inventory Cost would be $8,520.Part c: Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes)
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In triangle ABC, ∠A = 55°, ∠B = 75°. Which statements are correct? You must select all correct answers.
Side BC is the longest side
Side AB is the shortest side
Side AC is the longest side
Side BC is the shortest side
Answers
Answer:
AC is the longest side
AB is the shortest
Step-by-step explanation:
Generally, the side that faces the smallest angle has the smallest side while the side that faces the largest angle has the largest side
The measure of the third angle C is 180 - 55 -75 = 50
Kindly note that A faces BC
B faces AC
C faces AB
So while AC is the longest side, AB is the shortest
So the correct answers are;
AC is the longest side
AB is the shortest side
Make a table of values given that “x” is an integer such that -4 < x < 4, using the Equation y = 3x + 5.
Answers
pose a struggling student who is currently taking pre-statistics and not passing (60%) wants to predict his introductory statistics course grade. should the regression line be use to make this prediction? group of answer choices no, because the model was developed using only pre-statistics course grades between 70% and 95%, so it is risky to assume that the linear trend will continue far beyond that span of values. yes, as the model probably has a very high r 2 value. yes, as the model appears to have a strong linear association, and the residual values appear small in size.
Answers
Option B is the right answer when a struggling student who is presently failing pre-statistics (60%) wants to forecast his mark in the introductory statistics course.
Given that,
Let's say a struggling student who is presently failing pre-statistics (60%) wants to forecast his mark in the introductory statistics course. Should this prediction be made using the regression line.
In the picture we can see the Option A,B and C.
As we can see that there is a positive linear trend between these two variables, it can be used to predict grades for a student even if he didn't pass the exam.
Option B seems correct here.
Therefore, Option B is the right answer when a struggling student who is presently failing pre-statistics (60%) wants to forecast his mark in the introductory statistics course.
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A drone descends into a mining
cave. The graph relates its distance
below ground to time. Write an
equation that describes the
relationship.
Distance (m)
oty
-250
-500
-750
-1000
Drone's Descent
1 2 3 4
Time (s)
Answers
Answer:
The equation that describes the relationship between the distance below ground and the time for the drone's descent is: Distance = -250m - 500m(Time-1).
Which statements are true? Check all that apply.
On a coordinate plane, point A is (2, 3), point B is (3, 2), point C is (negative 2, 2), point D is (negative 3, negative 3), point E is (0, 3), point F is (2, 0), and point G is (0, 0).
A is in Quadrant I.
B is on the x-axis.
C is in Quadrant I.
D is in Quadrant III.
E is on the x-axis.
F is on the x-axis.
G is on the y-axis
for ed
Answers
Answer:
A,D,F
A is in Quadrant I.
D is in Quadrant III.
F is on the x-axis.
Step-by-step explanation:
got this right..... I did this like 3 months ago so I just answered this
hope this helps:)
The statements A is in Quadrant I is true, D is in Quadrant III is true and F is on the x axis is true.
What is Coordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points.
On a coordinate plane, point A is (2, 3),
point B is (3, 2),
point C is (negative 2, 2),
point D is (negative 3, negative 3),
point E is (0, 3),
point F is (2, 0), and
point G is (0, 0).
A coordinate geometry has 4 quadrants, in the first Quadrant the x and y axis values are positive.
In second quadrant the coordinates are (-x, y)
In third quadrant the coordinates are (-x, -y)
In fourth quadrant the coordinates are (x, y)
A is in Quadrant I is true
D is in Quadrant III is true
F is on the x axis is true.
Hence, the statements A is in Quadrant I is true, D is in Quadrant III is true and F is on the x axis is true.
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In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50.Which of the following describes the center and variability of simulation A and simulation B?answer choicesThe centers will roughly be equal, and the variabilities will roughly be equal.The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.
Answers
The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.
For the sampling distribution of a sample percentage drawn from a population with a true proportion of 0.325, two simulations will be run.
1500 trials will make up Simulation A, with a 100-person sample.
2000 trials with a sample size of 50 will make up Simulation B.
The centers for Simulations A and B will be almost equal.
For Simulation A, the total sample size will be
15000*100=1500000
For Simulation B, the total sample size will be
2000*50=100000
As a result, Simulation A's sample size is larger than Simulation B's sample size, and Simulation A's variability will be lower than Simulation B's variability.
As a result, choice c) is accurate.
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i-Ready
Ron is paid $1,500 every month plus an additional $100 bonus for every tractor he sells, 2. Which equation represents the total amount of money, y, Ron makes each
month?
PLEASE ANSWER ASAP!
Answers
Answer: y= 100x +1500
Step-by-step explanation:
The 1500 value never changes, so it doesn’t need a variable
The 100 value will change based on how many he sells, so it needs a variable
Answer:
its the first one.
Step-by-step explanation:
the 1500 stays the same so it would be 100×how ever many tractors so 100z+1500
what structure is indicated by: 10a, 15t, 3g, 7c?
Answers
The structure indicated by: 10a, 15t, 3g, 7c? is a structure related to the composition of a DNA or RNA sequence.
The given information "10a, 15t, 3g, 7c" suggests a pattern or structure related to the composition of a DNA or RNA sequence.
In molecular biology, DNA and RNA are made up of nucleotides, which consist of a nitrogenous base (adenine, thymine/uracil, guanine, or cytosine) and a sugar-phosphate backbone.
Based on the provided data, it appears that the numbers preceding each letter indicate the count or frequency of that particular nucleotide in the sequence.
Therefore, the structure indicated by "10a, 15t, 3g, 7c" implies the composition of a DNA or RNA sequence with the following nucleotide counts:
10 adenine (A) nucleotides (abbreviated as 10a)
15 thymine (T) nucleotides (abbreviated as 15t)
3 guanine (G) nucleotides (abbreviated as 3g)
7 cytosine (C) nucleotides (abbreviated as 7c)
Together, these nucleotides make up a portion of the DNA or RNA sequence, indicating the presence and quantity of each base in that particular section.
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Third-degree, with zeros of −5, −4, and 1, and a y-intercept of −15
Answers
Answer:
y = 3/4( x+5)( x+4) ( x-1)
Step-by-step explanation:
The formula for the polynomial is
y = c( x- a1)( x- a2) ( x-a3) where c is a constant and a1,a2,a3 are the zeros
We have zeros -5,-4 and 1
y = c( x- -5)( x- -4) ( x-1)
y = c( x+5)( x+4) ( x-1)
We have a y intercept of -15
That means x=0 and y = -15
-15 = c ( 0+5)( 0+4) ( 0-1)
-15 = c( 5) ( 4) (-1)
-15 = c( -20)
Divide each side by -20
-15/-20 = c
3/4 =c
The equation is
y = 3/4( x+5)( x+4) ( x-1)
HELPPPP PLS EXPLAIN (image included)
Answers
Answer:
2.5 inches per year.
Step-by-step explanation:
2 yrs= 5in
4 yrs= 10in
10in divided by 4 equals: 2.5in
Answer:
2.5 inches per year
Step-by-step explanation:
the slope m of the line gives the measure of the rate of change.
using the slope formula to find m
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (4, 10) ← corresponding points for 2/ 4 years
m = \(\frac{10-5}{4-2}\) = \(\frac{5}{2}\) = 2.5
rate of change is then 2.5 inches per year