MATHEMATICS COLLEGE

Create an equation to solve for x then solve for x.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

In parallelogram adjacent angles are supplementary

∠U +∠V = 180

9x + 15 + 6x + 15 = 180

Combine like terms

9x + 6x + 15 + 15 = 180

15x + 30 = 180

Subtract 30 from both sides

15x = 180 - 30

15x = 150

Divide both sides by 15

x = 150/15

x = 10

∠U = 9x + 15

= 9*10 + 15

= 90 + 15

∠U = 105

∠V = 6x + 15

= 6*10 + 15

= 60 + 15

∠V = 75

Answer 2

Answer:

Answer:

Equation: $2(9x + 15 + 6x + 15) = 360$

x = 10°

∠U = 105°

∠V = 75°

Step-by-step explanation:

Hello!

The sum of angles in a parallelogram is 360°. The oppositeangles of a parallelogram are congruent.

Part A

Equation: $2(9x + 15 + 6x + 15) = 360$

Solve

$2(9x + 15 + 6x + 15) = 360$
$9x + 15 + 6x + 15 = 180$
$15x + 30 = 180$
$15x = 150$
$x = 10$

The value of x is 10°.

Part B

To find the measures of each angle, simply plug in 10° for x in each equation.

∠U

$9x + 15$
$9(10) + 15$
$90 + 15$
$105$

Angle U is 105°.

∠V

$6x + 15$
$6(10) + 15$
$60+15$
$75$

Angle V is 75°.

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Answers

Answer:

3/8 (decimal = 0.375)

Step-by-step explanation:

apply exponent rule

= 1/4 + 2^-3

= 1/4 + 1/2^3

= 1/4 + 1/8

least common deno

= 2/8 + 1/8

= 3/8

What is the upper quartile of 36 ,73,28,36,80,50

Answers

Put the numbers in order

28, 36, 36, 50, 73, 80
|. |. |
The upper quartile is 73

the upper quartile is 80

How long will it take for a sum of $800 attracting simple interest to become $830 if the rate is 9%? Compute the return on this investment.

Answers

Answer:

5 months

ROI = 3.75 %

Step-by-step explanation:

Since,

The simple interest formula,

$I=P* r* t$

Where,

P = Principal amount,

r = rate per period ( in decimal )

t = number of periods,

Here, P = 800, r = 9% = 0.09,

If A is the future amount,

We have, A = 830

I = A - P = 830 - 800 = 30

By substituting the values in the above formula,

$30=800* 0.09* t$

$30=72t$

$\implies t =(30)/(72)=(5)/(12)$

Hence, it will take 5 months. ( 1 year = 12 months )

Now,

$\text{Return on investment }=(I)/(P)* 100$

$=(30)/(800)* 100$

$=3.75\%$

Pls help due tomorrow just numbers 7 - 12

Answers

Answer:

Step-by-step explanation:

7). 5.75% = $(5.75)/(100)$ = $(575)/(10000)$ = $(23)/(400)$

10). $16(2)/(3)$ % = $(50)/(3)$ % = $(50)/(300)$ = $(1)/(6)$

12). $79(5)/(6)$ % = $(479)/(6)$ % = $(479)/(600)$

Now is you turn. You can do it!

A recipe requires 3/4 cups of sugar for every 14 cookies how many cups of sugar will be needed to bake 168 cookies

Answers

Answer:

9 cups

Step-by-step explanation:

3/4 cups of sugar for 14 cookies

There are 168÷14 = 12 set of 14 cookies in 168

So we need 12 times 3/4 sugar

12 × 3/4 = 9 cups of sugar needed

Answer:

Step-by-step explanation:

ratio problem

3/4 sugar/14 cookies = x sugar/168

126 = 14x

x = 9

A small theater had 9 rows of 25 chairs each. An extra 6 chairs have just been brought in. How many chairs are in the theater now?

Answers

231 chairs because 9 times 25 is 225, plus 6 is 231

4*25=100 4*25=100 add 6 =206+25= 231

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