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3 years ago

In Triangle A B C, what is the measure of angle B?

Mathematics

2 answers:

matrenka [14]3 years ago

8 0

Answer:

It is 92.

Step-by-step explanation:

If 140 degrees is the exterior, then we can find the interior by doing 180-140. We get 40, so that means the "c" interior angle is 40 degrees. Since 3 angles added together is 180 degrees, we can make this equation: (2x)+(x+2)+40=180. The "x+2" and "2x" don't need to be in parenthesis but I wrote it like that so it wouldn't confuse you. Once you solve that, the answer should be x=46. Then multiply by 2 and get 92.

miskamm [114]3 years ago

5 0

Answer:

Step-by-step explanation:

You can use the exterior angle theorem:

3x + 2 + 40 = 180

3x = 138

x = 46

2 * 46 = 92

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3 years ago

Find angle A and angle B..

ExtremeBDS [4]

Step-by-step explanation:

$\sf{\bold{\blue{\underline{\underline{Given}}}}}$

$\tt{\angle{c}=110°}$

and,

$\tt{BC=AC}$

⠀⠀⠀⠀

$\sf{\bold{\red{\underline{\underline{To\:Find}}}}}$

☆Find the $\angle{B} ~and~\angle{A}$

$\sf{\bold{\purple{\underline{\underline{Solution}}}}}$

Here,

BC =AC

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$\angle{A}=\angle{B}$

we know that,

$\tt{\boxed{\pink{\angle{A}+\angle{B}+\angle{C}=180°}}}$

But $\angle{C}=110°$ (Ģìvéñ)

so..

$\angle{A}+\angle{B}+110°=180°$

$\angle{A}+\angle{A}+110°=180°$

$\because{\angle{A}=\angle{B} }$

$2\angle{A}=180°-110°$

$2\angle{A}=70°$

$\angle{A}=\dfrac{70°}{2}$

$\boxed{\orange{\angle{A}=35°}}$

But...

$\angle{A}=\angle{B}$

soo,

$\boxed{\orange{\angle{B}=35°}}$

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

⠀⠀⠀⠀

$\boxed{\green{\angle{A}=35°}}$

$\boxed{\green{\angle{B}=35°}}$

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2 years ago

Two solid metal spheres have masses of 5 kg and 135 kg respectively. If the radius of the smaller one is 4 cm, find the radius o

Cerrena [4.2K]

Answer: 12 cm

Step-by-step explanation:

The masses of the spheres are proportional to their volums, and the cube of the ratio is k^3=135/5=27 ==> k=3

The greater radius is 3*4=12 (cm)

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2 years ago

An established company started with 147 employees. After 10 years in business, they now have 283 employees. What is the percent

xeze [42]

So, Increase = New Number - Original Number. Therefore, Increase = 283 - 147 which equals 136.
136 = 283 - 147.
Then you want to divide the increase by the original number and multiply the answer by 100.
136/147 = 0.92
0.92 * 100 = 92.

Final Answer: The employee count has increased by 92%. I hope this helps.

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3 years ago