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Neporo4naja [7]
3 years ago
7

APLZ HELP ASAP INSCRIBED QUADRILATERALS

Mathematics
2 answers:
bekas [8.4K]3 years ago
7 0
For any inscribed quadrilateral, the sum of each pair of opposite angles must add up to 180. In this case, B + A = 180, and similarly, E + R = 180. Therefore,
74 + R = 180
R = 106 degrees

(Similarly, if we had to solve for B, B + 92 = 180, and B = 88 degrees.)
-Dominant- [34]3 years ago
5 0
The opposite angles in any inscribed quadrilateral are supplementary.
∵ ∠E + ∠R = 180°
∴ ∠R = 180 - ∠E = 180° - 74° = 106°
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The ratio of boys to girls in a school is 5:4. if there are 500 girls , how many boys are there in the school?
lana [24]

Answer:

The number of boys in the school is;

625

Explanation:

Given that the ratio of boys to girls in a school is 5:4;

5\colon4

And there are 500 girls in the school.

The number of boys in the school will be;

\begin{gathered} \frac{B}{G}=\frac{5}{4} \\ G=500 \\ B=\frac{5\times G}{4}=\frac{5\times500}{4} \\ B=625 \end{gathered}

Therefore, the number of boys in the school is;

625

3 0
1 year ago
The length of a rectangle is 2 ft longer than its width.
tino4ka555 [31]

Hi! I'm happy to help!

To solve this, we first need to look at the perimeter equation:

P=2L+2W

We don't know our length, so we can represent it with x. Since our width is 2 feet shorter than x, we can represent it with x-2. Now, we plug these values into our equation:

56=2x+(2(x-2))

Let's simplify what the width is by multiplying:

56=2x+2x-4

Now, let's combine our 2xs

56=4x-4

Now, we just need to solve for x in order to find our length and width.

First, we need to isolate x on one side of the equation. We can do this by adding 4 to both sides:

56=4x-4

+4      +4

60=4x

Now, all we have to do is divide both sides by 4 and x will be fully isolated:

60=4x

÷4  ÷4

15=x

Now that we know x, let's plug this into our previous equations:

L=x=15

<u>L=15</u>

W=x-2=15-2=13

<u>W=13</u>

To verify our answers, we can plug this into our perimeter equation:

56=2(15)+2(13)

56=30+36

56=56

After double checking our answers, we know that our length is 15 and our width is 13.

I hope this was helpful, keep learning! :D

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2 years ago
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