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DanielleElmas [232]

4 years ago

11

Please help! Fast! It needs to be done and show me the steps.

1 answer:

mr_godi [17]4 years ago

4 0

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Formula
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Sum of all exterior numbers = 360°

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Apply Formula
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z + 45 + 55 + 78 + 74 + z = 360

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Combine likes term
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2z + 252 = 360

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Take away 252 from both sides
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2z = 360 - 252
2z = 108

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Divide by 2 on both sides
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2z = 108
z = 108 ÷ 2
z = 54

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Find z + 45
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z + 45 = 54 + 45
z + 45 = 99°

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Answer: 99°
---------------------------------------------

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HELPPPP <br>y=1/8x+3 in standard form

lidiya [134]

Answer:

$x-8y=-24$

Step-by-step explanation:

Standard form of a linear equation: $Ax+By=C$

(where A, B and C are integers, and A shouldn't be negative)

Given equation:

$y=\dfrac{1}{8}x+3$

Multiply both sides by 8:

$\implies 8 \cdot y=8 \cdot \dfrac{1}{8}x+8 \cdot 3$

$\implies 8y=x+24$

Subtract 8y from both sides:

$\implies 8y-8y=x+24-8y$

$\implies 0=x+24-8y$

Subtract 24 from both sides:

$\implies 0-24=x+24-8y-24$

$\implies -24=x-8y$

In standard form:

$\implies x-8y=-24$

4 0

3 years ago

Read 2 more answers

A portion, segment, or piece of a whole is called a __.

anastassius [24]

Answer:

Part

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

A game starts by flipping a coin. If you get heads, then you get to roll a die and, if you roll a 4, you win the jackpot. If you

Mariana [72]

$\frac{5}{24}$

Step-by-step explanation:

There are two ways to win a jackpot.

Let $p_{1}$ be the probability for first method and $p_{2}$ be the probability for second method.

Probability to get a head= $p_{head}$ = $\frac{1}{2}$

Probability to get a $4$ in the die= $p_{4}$ $=\frac{1}{6}$

Probability to get a head and get a 4 in die=[ $p_{1}$ tex]p_{head}\times p_{4}[/tex]= $\frac{1}{2}\times \frac{1}{6} =\frac{1}{12}$

Probability to get a tail= $p_{tail}$ = $\frac{1}{2}$

Probability to get a heart= $p_{heart}$ = $\frac{13}{52} =\frac{1}{4}$

Probability to get a tail and get a heart in the deck= $p_{tail} \times p_{heart}$ = $\frac{1}{2}\times \frac{1}{4}=\frac{1}{8}$

Total probability to win a jackpot= $p_{1}+p_{2}=\frac{1}{12}+\frac{1}{8}=\frac{5}{24}$

So,probability to win a jackpot is $\frac{5}{24}$

3 0

4 years ago

If a wage of 100% is increase by 15% what would be the new wage

IceJOKER [234]

Answer:

115%

Step-by-step explanation:

The normal wage is 100% and there was 15% increment

Which means that 100+15

It will give 115%

But in the case of having a specific value for the salary we will be able to solve further but we are not given the amount of the salary

So the final answer is 115%

I believe you understand

7 0

4 years ago

21. What is the value of x if 5:(3x+2) = 7:(5x-2).<br>A. 6<br>B. 5<br>C.7.

KatRina [158]

Answer:

5/(3x+2) = 7/(5x-2)

<=>5*(5x-2) = 7*(3x+2) (x is not equal to -3/2 or 2/5)

<=> 25x -10 = 21x +14 (x is not equal to -3/2 or 2/5)

<=> 4x = 24 (x is not equal to -3/2 or 2/5)

<=> x = 6 (valid)

6 0

3 years ago