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2 years ago

How do I get the answer to this step by step?

Mathematics

1 answer:

AURORKA [14]2 years ago

5 0

Answer:

Step-by-step explanation:

The exterior angle is 151 degrees. The theorem states that the sum of its 2 remote interior angles, 5x+3 and 9x-20, will add up to this exterior angle. Therefore,

5x+3+9x-20 = 151 and

14x - 17 = 151 and

14x = 151 + 17

14x = 168 so

x = 12

If you want to find out the measure of each of these angles, just plug in 12 for x and do the math:

5(12) + 3 = 63 and

9(12) - 20 = 88 and

88 + 63 = 151 as it should.

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There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 233.5 grams of this cereal,

diamong [38]

Answer:

145

Step-by-step explanation:

110÷177.4=.62 cal per gram

.62×233.5=145 rounded

7 0

3 years ago

Trevon and Riggs are brothers.

lord [1]

Answer:

Trevon is 28 years old

Step-by-step explanation:

Riggs =x

Trevon =7+x

7+x+x=49

7+2x=49

2x=49-7

2x=42

x=21

Trevon is 21+7= 28 years old

3 0

3 years ago

Read 2 more answers

Molly opened a savings account with a one‐time deposit of $100 that will be left in the account for at least 5 years. The saving

Anettt [7]

The amount of interest Molly will earn after 5 years on a deposit of $\$100$ compounded annually over 5 years is $\$27.63$

First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.

The future value of an investment that is compounded annually is given by

$A=P(1+r)^t$

where

$A=\text{Amount of money in Molly's account after 5 years}\\P=\text{Molly's initial deposit into her account}=\$500\\r=\text{The annual interest rate as a decimal}=0.05\\t=\text{The time the money is invested (in years)}=5$

Substituting the available values into the formula and solving

$A=100(1+0.05)^5=100(1.05)^5 \approx \$ 127.63$

The interest Molly will earn after 5 years is

$A-P=\$127.63-\$100=\$27.63$

Therefore, the amount of interest Molly will earn after 5 years on a deposit of $\$100$ compounded annually over 5 years is $\$27.63$

Learn more about compound interest here: brainly.com/question/21270833

8 0

2 years ago

Help please this math is hard just number 3 the one that has no writing

Colt1911 [192]

You actually have most of the answers correct.
E is the origin
D is the x axis
A is the y axis
B is at coordinates (1, 3)
C is at coordinates (3, 1)
*remember you go across on the graph x axis and then up y axis.

6 0

3 years ago

for a certain company, the cost function for producing x items is C(x)=40x+150 and the revenue function for selling x items is R

Mademuasel [1]

Answer :

Step-by-step explaation:

c(80) =40x80 +150 =3350 üretim için 80 parçanın maliyeti

satış için ise : R(80) 0.5(80-110)^2+6,050 = 456

3350-456=2983.95 kar ederler

5 0

2 years ago