Subtract the linear expressions.

(−7.6x+7.4)−(3.5x+6.5)

What is the difference?

Enter your answer in the box.

The only statement that can be confirmed as true is "Angle ECD is congruent to Angle ACD" as Ray CE is the angle bisector.The correct statement about the figure that must be true is: Angle ECD is congruent to Angle ACD.

Since Ray CE is the angle bisector of Angle ACD, it divides Angle ACD into two congruent angles. By the definition of an angle bisector, Angle ECD is formed, and it is congruent to Angle ACD.

The statement "Angle ACE is congruent to Angle DCB" cannot be determined to be true based on the given information. The angles ACE and DCB are not directly related or indicated to be congruent in any way.

The statement "mAngle ACE = one-half mAngle ACD" cannot be determined to be true without additional information or angle measurements.

The statement "mAngle ECD = one-half mAngle ECB" also cannot be determined to be true based on the given information. The relationship between angles ECD and ECB is not explicitly stated or related.

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Answer: AngleECDIs-congruent-to AngleACD

Step-by-step explanation: RIGHT ON EDGE 2023

Step-by-step explanation:

Types of fees and charges

Monthly account keeping or service fee. The fee you pay for an organisation to manage your bank account. ...

Internet banking fee. ...

EFTPOS transaction fee. ...

ATM transaction fee. ...

Non-bank or foreign ATM fee. ...

Telephone banking transaction fee. ...

Branch withdrawal fee. ...

Cheque withdrawal fee.

Answer:

not

Step-by-step explanation:

Answer:

non-equivalent

Step-by-step explanation:

the equivalend fraction of \(\frac{2}{3}\) is \(\frac{6}{9}\) not \(\frac{6}{10}\)

Answer:

D) All of the above

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Question 4: 70 degrees

Question 5: 150 degrees

Step-by-step explanation:

Question 4:

The shape is a polygon therefore we need to first find the sum of the angle. The formula is: (number of sides - 2) * 180

Rewrite: (5 - 2) * 180 = 540

To get the answer we add all angles together which is:

135 + 120 + 80 + 135 = 470

Minus to get the last angle:

540 - 470 = 70 degrees

So the answer is 70 degrees:

x = 70 degrees

Question 5:

Again the type of shape is an polygon so first we need to find the sum of the angle.

(6 - 2) * 180 = 720

Next add up all the angles together. The square boxes mean the angle is a right angle. So we can just add 90 degrees for every box you see.

90 + 90 + 120 + 120 = 420

Minus the answer with the sum of the total angle to get the missing value:

720 - 420 = 300 degrees

Next since there are two x, and they are at the same position they are the same value so we can just divide and get the answer.

300 / 2 = 150 degrees

Therefore the answer for both x are 150 degrees:

x = 150 degrees.

The expression that represent the amount of canned food collected by the friends is 15x² + 4xy - 1.

The expression that represent the number of cans the friend still need to  collect to meet there goals is 9x² - 10xy - 1.

Three friends, Jesse, Tyree and Ben are collecting can food for a culinary skilled class. The canned food collection goal is represented with the expression 24x² - 6xy - 2.

Hence,

Jessa: 9x²

Tyree : 6x² - 4

Ben: 4xy + 3

Therefore, the expression to represent the amount of canned food gathered by the friends is as follows;

9x² + 6x² - 4 + 4xy + 3 = 15x² + 4xy - 1

The expression that represent the number of cans the friend still need to  collect to meet there goals is as follows:

24x² - 6xy - 2 - (15x² + 4xy - 1)

24x² - 6xy - 2 - 15x² - 4xy + 1

24x² - 15x² - 6xy - 4xy - 2 + 1

9x² - 10xy - 1

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Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​.

Here, we have,

given that,

the LHS is:

sin⁴x-cos⁴x/ sin²x-cos²x

now, we know that,

sin²x+cos²x = 1

and, we know that,

a² - b² = (a+b) (a-b)

so, we get,

sin⁴x-cos⁴x/ sin²x-cos²x

= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x

=(sin²x+cos²x)

=1

= RHS

Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​

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Answer:

(4√5)i

Step-by-step explanation:

Complex number is a number in the form a + bi, where both a and b are real numbers. A complex number has two parts, the first part a is the real part of the complex number and the second part b is the imaginary part of the complex number. Also, i = √(-1), hence i² = -1.

Complex numbers can also be graphed on the complex plane.

√(-80) = √(-1) × √(80)

But since √(-1) = i

√(-80) = i × √80 = i × √16 × √5 = i × 4 × √5 = (4√5)i

√(-80) = (4√5)i

Answer:

C) 4 Square Root 5 i

Step-by-step explanation:

100% on edge. When your wrist like this, you don't check the forecast

Every day it's gon' rain, yeah

The area of the space available for onions is:n12 square feet - 0.12x square feet. number of onion bulbs Mark can plant is: (12 - 0.12x) / y

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".

Mark has marked off a certain percentage of the 12 square feet to save for a tomato plant, which means the remaining space will be used for onions.

Let's say Mark marks off x% of the space for the tomato plant. That means he will have (100-x)% of the space for onions.

The area of the space reserved for the tomato plant is:

12 square feet x (x/100) = 0.12x square feet

The area of the space available for onions is:

12 square feet - 0.12x square feet

Let's say each onion bulb needs y square feet of room to grow. Mark can plant as many onion bulbs as can fit in the remaining space, which is:

(12 square feet - 0.12x square feet) / y

So the number of onion bulbs Mark can plant is:

(12 - 0.12x) / y.

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Answer:

A.

Quadrant I

Step-by-step explanation:

Quadrant I= Both co=ordinates positive.

Answer:

6 months

Step-by-step explanation:

We can set up an equation based on his monthly savings to find out how long it will take for Hatif to reach $630 in his account.

Let's assume it takes Hatif "n" months to reach $630 in his account. Each month, he saves $80.

The equation representing the situation is:

$150 + $80n = $630

Now, let's solve for "n":

$80n = $630 - $150

$80n = $480

n = $480 / $80

n = 6

Therefore, it will take Hatif 6 months to reach $630 in his account.

Answer:

Step-by-step explanation:

Answer:

3) is the answer

d + e = 1 x 1

- d + e = -5 x 1

d. + e = 1

-

-d. + e = -5

2d= 6

d = 3

e= 1-3

= -2

The expression of the statement that is given above can be written as follows: 262144y³ + 27.

To determine how to express the given statement the following should be carried out.

When a number is said to be cubed, it means that the number should be times by itself three consecutive times.

That is (64y + 3)³. This means that various components should be multiplied by itself three times. That is,

= 64×64×64(y)³ + 3×3×3

= 262144y³ + 27.

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Answer:

\(6 \frac{1}{5} \)

Step-by-step explanation:

31/5

6/1/5

If Kylie's hourly wage at a nearby restaurant is $8.50. She worked 20.88 hours last week, according to her paycheck. Kylie's salary is $177.48.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Kylie makes $8.50 an hour at a local restaurant. Her paycheck shows she worked 20.88 hours last week.

We have to find the money did Kylie make,

We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.

Suppose the money did Kylie make is x,

x = 8.50 ×  20.88

x=$ 177.48

Thus, if Kylie's hourly wage at a nearby restaurant is $8.50. She worked 20.88 hours last week, according to her paycheck. Kylie's salary is $177.48.

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Answer:

20/40

Step-by-step explanation:

1/5=40/100*x

x=1/5*100/40

x=20/40 or 10/20 or 0.5

On solving the provided question, we can say that Probability(A and B) = P(A)P(B|A) and P(E or F) = P(E) + P(F) - P(E and F)

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

Probability(A and B) = P(A)P(B|A).

P(A and B) = P(B and A), this may also be written as P(A and B) = P(B)P(A|B).

Using the general multiplication rule, we have

P(E and F) = P(E)P(F|E)

.392 = P(E)(.7)

P(E) = .56

   P(E and F) = P(F)P(E|F)

.392 = P(F)(.56), so

P(F) = .7

P(E or F) = P(E) + P(F) - P(E and F)

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Answer:

50

Step-by-step explanation:

7,750÷155=50

Answer:

a = -30

d = -32 - (-30) = -2

n = 96

So, using A.P. formula-

Tn = a + (n-1) d

T96 = -30 + (96-1) -2

T96 = -30 + (95) -2

T96 = -30 - 190

T96 = -220

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Answer:

2. kilograms

Step-by-step explanation:

Check the picture below.  Make sure your calculator is in Degree mode.

\(tan(14^o )=\cfrac{\stackrel{opposite}{124}}{\underset{adjacent}{x}}\implies x=\cfrac{124}{tan(14^o)} \\\\\\ tan(57^o )=\cfrac{\stackrel{opposite}{124}}{\underset{adjacent}{y}}\implies y=\cfrac{124}{tan(57^o)} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{distance from A to B}}{x-y\implies }\cfrac{124}{tan(14^o)}~~ - ~~\cfrac{124}{tan(57^o)} ~~ \approx ~~ 416.8~ft\)

The distance from point A to point B is 416.8 ft.

The angle of depression is the angle that comes down from a straight horizontal line in the sky.

For example, if you look down on something, this angle is the angle between your looking straight and you're looking down to the ground.

Given that, a boat is heading towards a lighthouse, an angle of depression to the boat at point A to be 14°, the angle of depression at point B to be 57°,

We need to find the distance from point A to point B.

Let the distance of point A to boat be x and that of point B to be y,

So, using the concept of trigonometric ratios,

x = 124 / tan 14°

y = 124 / tan 57°

The distance between point A and B = 124 / tan 14° - 124 / tan 57°

= 416.8 ft.

Hence, the distance from point A to point B is 416.8 ft.

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The correct answer is \(\frac{8}{720}\)

Number of people who entered the drawing = 10

Number of prizes = 3

Number of ways to award the prize = 720 ways

The total number of ways that 3 prizes can be awarded to the 10 people can be determined as:

10*9*8 = 720

The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*8 = 8

Thus the probability that i win the first prize and my mom wins the second prize would be \(\frac{8}{720}\)

Answer:

I believe the answer is V = 2.56

Step-by-step explanation:

10.24 divided by 4 is 2.56. And 2.56 times 4 is 10.24.

The mean is the sum of all values divided by the total number of values. Then:

The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.

From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.

This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.

In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

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Answer:

78

Step-by-step explanation:

Answer:

x= 105 also because it's a z angle

y= 180-105

=75

x=z which is 105, because they are alternative angles.

The given angle of 105 and angle z are consecutive interior angles and need to equal 180 degrees.

Z = 180-105 = 75 degrees

Angle z and angle c are vertical angles and are identical so angle x also equals 75 degrees

Angle y and 105 are supplementary angles and when added equal 180

Angle y is 180-105 = 75

X, y and z are all 75 degrees

Answer:

495

Step-by-step explanation:

using the definition

n\(C_{r}\) = \(\frac{n!}{r!(n-r)!}\)

where n! = n(n - 1)(n - 2) ... × 3 × 2 × 1

then

12\(C_{4}\)

= \(\frac{12!}{4!(12-4)!}\)

= \(\frac{12!}{4!(8!)}\)

cancel 8! on numerator/ denominator

= \(\frac{12(11)(10)(9)}{4!}\)

= \(\frac{11880}{4(3)(2)(1)}\)

= \(\frac{11880}{24}\)

= 495