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solong [7]
3 years ago
15

Can you please help explain how to solve this?

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
3 0

\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the Triangle

Angle sum property.

We have to use here the Exterior Angle theorem of a triangle, so we get as ,

Angle ACD = 113°

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10 points - What is the 8th term of the sequence?<br><br> 8, 24, 72, 216...
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3 years ago
Help me please I’m down baddddd
Pani-rosa [81]

Answer:

a. m<B = 100°

b. m<L = 55°

c. Scale factor = 9/11

Step-by-step explanation:

a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.

Since ∆ABC ~ ∆GLJ, therefore,

<A = <G,

<B = <J

<C = <L

m<J = 100° (given)

Therefore,

m<B = m<J = 100°

m<B = 100°

b) m<A = m<G

m<A = 25° (given)

Therefore,

m<A = m<G = 25°

m<G = 25°

m<L = 180° - (m<J + m<G)

Substitute

m<L = 180° - (100° + 25°)

m<L = 55°

c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle

Scale factor = AB/GJ

Substitute

Scale factor = 18/22

Simplify

Scale factor = 9/11

8 0
3 years ago
The volume of a cone is 108 pi cubic inches. Its height is 4 inches. What is the radius of the cone? Round answer to nearest ten
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\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ -----\\ V=108\pi \\ h=4 \end{cases}\implies 108\pi =\cfrac{\pi r^2(4)}{3}\implies 324\pi =4\pi r^2 \\\\\\ \cfrac{324\pi }{4\pi }=r^2\implies 81=r^2\implies \sqrt{81}=r\implies 9=r

7 0
3 years ago
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