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Alex777 [14]
2 years ago
12

Find the unknown sizes of an angles of the following polygons.​

Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
5 0

Answer:

A is an irregular pentagon - total angle is 540. So x is 100

(540 - 440=100)

B. 3a + 345 = 540

- 345 both sides

3a=195

÷3

a = 65

2a = 130 (65x2)

C. X = 120 (angles on straight lines adds to 180)

3y + 300 = 540

- 300

3y = 240

÷3

Y= 80

x 2

2Y = 160

Hope this helps!

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You usually buy a 16.5-ounce bottle of shampoo. There is a new bottle that says it gives you 30% more free.
Katarina [22]

Answer:

\frac{x-16.5}{16.5}=0.30

Hopefully, this is your desired setup. (I noticed the formula you have to fill in there.)

Have a good day.

Step-by-step explanation:

Hi.

You could use the percent change formula.

Since we know it is a percent increase then we will do new-old instead of old-new:

\frac{\text{new}-\text{old}}{\old}

x is the new amount of shampoo.

16.5 is the original amount (old) of shampoo.

The percent increase is 30%=0.30 .

So we have the following equation:

\frac{x-16.5}{16.5}=0.30

We could have found the equation like this:

16.5+16.5(0.30)=x

Subtract 16.5 on both sides:

16.5(0.30)=x-16.5

Divide both sides by 16.5:

0.30=\frac{x-16.5}{16.5}

By us of symmetric property of equality:

\frac{x-16.5}{16.5}=0.30

5 0
3 years ago
Read 2 more answers
Select the correct answer from each drop-down menu. Andy is designing a dice tray in the shape of a rectangular prism to use dur
-BARSIC- [3]

Answer:

w = 7 cm

Step-by-step explanation:

Volume = 252 cm³

Height, h = 3cm

Let width = w

Length, l = w + 5

Volume of rectangular prism, V = l * w * h

252 = (w + 5) * w * 3

252 = (w + 5) * 3w

252 = 3w² + 15w

3w² + 15w - 252 = 0

w² + 5w - 84 = 0

w² + 12w - 7w - 84 = 0

w(w + 12) - 7(w + 12) = 0

(w + 12) = 0 or (w - 7) = 0

w = - 12 or w = 7

w cannot be negative

Hence, w = 7 cm

6 0
3 years ago
Solve the system of equations by the addition method.<br> 1 - 3x = -5y - 8<br> 6x<br> 3y = -5
Advocard [28]

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\text{Hence}~ (x,y) = \left(-\dfrac 73, -3 \right)

3 0
2 years ago
The events committee buys 100 flowers for a school dance the flowers are a combination of carnations an roses. Each carnation co
Natali5045456 [20]

Answer:

We don't know the price of the roses, so there is not enough information to answer.

6 0
3 years ago
Word problems use place value
nadya68 [22]
1.  Three-Hundred Forty One Thousand, Eight Hundred Nine.
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3. Hilary did
4. Craig did
5. B, 2
6. A, 0
So glad I could do this, good luck, and hope you have a good rest of the day! :)

8 0
3 years ago
Read 2 more answers
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