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AfilCa [17]
3 years ago
8

How do I solve for y?

Mathematics
1 answer:
vivado [14]3 years ago
7 0
Short Answer: y = 36°
Remark
What an interesting question!! The first thing you have to do is find out what the interior angle of a regular pentagon is. After you have done that, you can calculate y.

Method.
The exterior angles of a regular figure add up to 360°. 

Step One

Find out the size of the exterior angles of a  regular pentagon. 
There are 5 such angles. They add up to 360°

5x = 360  Divide by 5
x = 360 / 5
x = 72°

Step Two
Find out the value of the interior angles of a pentagon.

Method
The interior and exterior angles add up to 180°
Exterior Angle + Interior Angle = 180°
Exterior angle = 72 degrees
72° + Interior Angle = 180°                  Subtract 72 from both sides.
Interior Angle = 180° - 72° 
Interior Angle = 108°

Step Three
Solve for y.

There are 3 tiles each with an angle of 108° that are placed together. So y + 3 interior angles = 360°

y + 3*interior angles = 360°
y + 3*108 = 360 
y + 324 = 360 Subtract 324 from both sides.
y = 360 - 324
y = 36°

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Name two integers that have a product between -10 and -15
umka2103 [35]
A product means when they are multiplied together.
I.e. The product of 3 and 4 is 12, because 3 * 7 = 4
i.e. The product of -4 and + 8 is 4, because -4 * 8 = -36

An integer means a whole number like 1, 2, 3, 4, 5, or -1, -2, -3, -4.
i.e. 3.2 is NOT AN INTEGER since there is a decimal

Two integers that have a product between -10 and -15
> Can be -6 and +2 which the product is -12 <em><------- (-6 * +2)
</em>> Can be -7 and +2 which the product is -14 <------- (-7 * -21)
<em>So an answer would be
"-6 and +2" are integers which have a product between -10 and -15
</em>
6 0
4 years ago
Can someone please explain how to solve this? And give me the answer?! THANK U !
Lyrx [107]

we know the segment QP is an angle bisector, namely it divides ∡SQR into two equal angles, thus ∡1 = ∡2, and ∡SQR = ∡1 + ∡2.

\bf \begin{cases} \measuredangle SQR = \measuredangle 1 + \measuredangle 2\\\\ \measuredangle 2 = \measuredangle 1 = 5x-7 \end{cases}\qquad \qquad \stackrel{\measuredangle SQR}{7x+13} = (\stackrel{\measuredangle 1}{5x-7})+(\stackrel{\measuredangle 2}{5x-7}) \\\\\\ 7x+13 = 10x-14\implies 13=3x-14\implies 27=3x \\\\\\ \cfrac{27}{3}=x\implies 9=x \\\\[-0.35em] ~\dotfill\\\\ \measuredangle SQR = 7(9)+13\implies \measuredangle SQR = 76

4 0
3 years ago
Given the formula b=rs/t solve for s
Gekata [30.6K]

Answer:

s = \frac{bt}{r}

Step-by-step explanation:

To solve for s, you need to follow these steps.

First multiply by t both sides of the equation.

b = \frac{rs}{t}

bt = \frac{rst}{t}

We get bt = rs

Now we divide by r, both sides of the equation.

\frac{bt}{r} = \frac{rs}{r}

Finallly we obtain:

\frac{bt}{r} = s or

s = \frac{bt}{r}

7 0
4 years ago
A family spent $93 at a carnival. They spent $18 on tickets to the carnival and $36 on food.They spent the rest of the money on
k0ka [10]

Answer:

$93-$18-$36=$39

$39

Step-by-step explanation:

8 0
3 years ago
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