Calculate the value of x and state the geometric relationship

Answer:

y = 116

w = 116

x = 4

Step-by-step explanation:

a // b  and t is transversal.

y + 64 = 180   {co-interior angles are supplementary}

y = 180- 64

y = 116

w = y     {Alternate interior angles are equal}

w = 116

4x² = 64      {Alternate interior angles are equal}

x² = 64/4

x² = 16

x² = 4²

x = √(4*4)

x = 4

Answer: A

Step-by-step explanation: The student gathers an extra 5,174.11 with the interest.

The amount close to the interest earned on the account at the end of 15 years will be $3,637.50. Then the correct option is C.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The formula for interest is written as,

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

A student’s parents invested $5,000 in q college savings account that pays 4.85% annual simple interest. No additional deposits or withdrawals will be made.

The amount close to the interest earned on the account at the end of 15 years is given as,

I = ($5,000 x 4.85 x 15) / 100

I = $3,637.50

The amount close to the interest earned on the account at the end of 15 years will be $3,637.50. Then the correct option is C.

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ6

Answer:

C)

Step-by-step explanation:

The midpoint is the average of the two points.

Thus,

Midpoint = [ ( 7 + 3i) + (-5 - 8i) ] / 2 = ( (7-5) + i(3-8) ) / 2 = (2 - 5i)/2 = 1 - 2.5i

Answer:

A

Step-by-step explanation:

because it makes more sense

Answer:

52 and 150?

Step-by-step explanation:

40+12=52

34+23+34+45+4

Simplify: 57+34+49

Simplify: 91+49

Add: 140

Answer:

$60.00 in his savings account per week

Step-by-step explanation:

First, we can convert the information given into points so we can more easily find the rate of change, or slope:

(5, 340) and (9, 580)

Then, we can subtract the y-values and x-values of both, then divide those differences, to find the slope. Remember that the change in y goes on top of the division problem and the change in x goes on the bottom of the division problem:

(580-340)/(9-5) = 240/4 = 60

So, $60 in his savings account per week.

Answer:

he saves 18.45 dollars in each week

Answer:1

Step-by-step explanation:I took the test

Answer:

Welp i dont have your help you need

Step-by-step explanation:

Because i just dont

Answer:

-9/2

Step-by-step explanation:

-9  is the same as -9/1

if we multiply -9/1 and 1/2 we multiply the numerators to get -9 and multiply denominators to get 2 or -9/2

Answer:

It's true, if that's what your asking.

Step-by-step explanation:

5/6 = 0.833 to 3 sig.fig.

4/5 = 0.800 to 3 sig.fig.

6/7 = 0.857 to 3 sig.fig.

0.833 is more than 0.800 and less than 0.857.

Answer:

Perimeter of Δ XYZ = 24.13

Step-by-step explanation:

In Δ XYZ is a right  triangle because the XYZL is a square.  Therefore the hypotenuse = 10; Looking at the 43° angle, XY is the side that is opposite the 43° angle and the YZ is the side that is adjacent to the 43°.

Using the trig ratios:  

XY = opposite/ hypotenuse which is Sin 43°

Sin 43° = XY/ 10

10(Sin 43°) = XY

 6.82 = XY

YZ = adjacent/hypotenuse which is Cos 43°

Cos 43° = YZ/10

10(cos 43°) = YZ

7.31 = YZ

Now the Perimeter = XY + YZ + XZ

  Perimeter = 6.82 + 7.31 + 10

  Perimeter = 24.13  

Answer:

a: x=22

b: c=31 d=61 e=88

Step-by-step explanation:

For "a"

Step 1: (x+9)+(3x-5)+(4x)=180

Step 2: 8x + 4 =180

Step 3: x=22

For "b"

Step 1: (22+9)= 31 for "c"

Step 2: 3x22-5= 61 for "d"

Step 3: 4x22= 88 for "e"

Answer:

B. 3 3/4

Step-by-step explanation:

3/8 * 10 = 30/8

30/8 = 3 3/4

Answer:

3,300

Step-by-step explanation:

Just took the test in edg

Answer:

3300

Step-by-step explanation:

Did it on Edge.

Answer:

144 boys and 384 girls

Step-by-step explanation:

8 girls to every 3 boys. You can make an equation to solve this: 8x + 3x = 528. 528 = 11x. Then divide 528 by 11 to get 48. x=48. 8(48) = 384 girls. 3(48) = 144 boys.

Answer:

100

Step-by-step explanation:

angles CHF and EHI are congruent angles because CD is a straight line.

Therefore EHI must be 20 degrees.

angles DIG and EIH are congruent angles because CD is a straight line.

Therefore EIH must be 60 degrees.

Now that you know two of the three angles in the triangle HEI,

Total degrees in a triangle - EIH - EHI = HEI

180 - 60 - 20 = 100

Answer:

Step-by-step explanation:

Find the values of expressions and compare with -12.48:

#1

Yes

#2

No

#3

Yes

Answer:

The measure of angle S is 60°

Step-by-step explanation:

This is an equilateral triangle, which means that all sides and all angles are equal. Hence, in order for all the angles to equal 180°, they each have to equal 60°

Answer:

1,3,1

Step-by-step explanation:

Answer:

x = 3.236

Step-by-step explanation:

Answer:

6 or -6

Step-by-step explanation:

Answer:

20% decrease

Step-by-step explanation:

2516/3270 = 0.8 or 80%

This means 80% percent of people showed up again from last year

100-80 = 20

So 20% decrease

Answer:

[tex]\sf \dfrac{b^9}{125}[/tex]

Step-by-step explanation:

We need to find out the volume of cube with the given side length . The side of the cube is ,

[tex]\sf\longrightarrow Side =\dfrac{1}{5}b^3[/tex]

Now as we know that the volume of cube is ,

[tex]\sf\longrightarrow Volume = side^3[/tex]

Substitute the given value ,

[tex]\sf\longrightarrow Volume =\Bigg(\dfrac{1}{5}b^3\Bigg)^3\\\\\sf\longrightarrow \boxed{\red{\sf Volume = \dfrac{b^9}{125}}}[/tex]

Step-by-step explanation:

follow the above attachment.

hope this helps you.

Answer:

$1.35

Step-by-step explanation:

you multiply $9.00 (9) by 15% (.15). Which gives you 1.35.

Answer:

2

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

x=167⁰ (alternate or z angles)

Answer:

11/4 The reciprocal will be 4/11