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ICE Princess25 [194]

3 years ago

13

Angels ABC and BCD are complimentary. Angel ABC has a measure of (2x+10) and angle CBD has a measure of 48 degrees. What is the

value of x???

2 answers:

geniusboy [140]3 years ago

7 0

The value of x is 16

slega [8]3 years ago

3 0

<span>complimentary angels are those who add up to 90 degree
2x+10+48=90
2x+58=90
2x=90-58
2x=32
x=16</span>

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you are given 2 supplementary angles.one has a measure of 4x and the other has a measure of 8x. what is x?

stich3 [128]

Answer:

x=15

Step-by-step explanation:

Supplementary angles are two angles that equal the sum of 180 degrees.

Take 4x and 8x and make it equal to 180

4x+8x=180

Add like terms:

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Divide:

x=15

To check:

Plug in 15 to both expressions

4(15)=60

8(15)=120

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7 0

3 years ago

The areas of two similar triangles are 72dm2 and 50dm2. The sum of their perimeters is 226dm. What is the perimeter of each of t

astraxan [27]

Answer:

Hence, the perimeter of the triangles are:

P=123.2727 dm

P'=102.7272 dm

Step-by-step explanation:

In two similar triangles:

The ratio of the areas of two triangle is equal to the square of their perimeters.

Let A and A' represents the area of two triangles and P and P' represents their perimeter.

Then they are related as:

$\dfrac{A}{A'}=\dfrac{P^2}{P'^2}$

We are given:

A=72 dm^2 , A'=50 dm^2

and P+P'=226 dm.-----------(1)

i.e. $\dfrac{72}{50}=\dfrac{P^2}{P'^2}\\\\\dfrac{36}{25}=\dfrac{P^2}{P'^2}$

on taking square root on both the side we get:

$\dfrac{P}{P'}=\dfrac{6}{5}\\\\P=\dfrac{6}{5}P'$

Now putting the value of P in equation (1) we obtain:

$\dfrac{6}{5}P'+P'=226\\\\\dfrac{6P'+5\times P'}{5}=226\\\\\dfrac{6P'+5P'}{5}=226\\\\11P'=226\times 5\\\\11P'=1130\\\\P'=\dfrac{1130}{11}=102.7272$

Hence,

P=226-102.7272=123.2727

Hence, the perimeter of the triangles are:

P=123.2727 dm

P'=102.7272 dm

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