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slava [35]
3 years ago
15

What is the measure of _C?

Mathematics
2 answers:
Debora [2.8K]3 years ago
7 0

Answer:

Here,

Step-by-step explanation:

<a +<b+<c=180 (being sum of all angles of a triangle)

<em>40</em><em> </em><em>+</em><em>70</em><em> </em><em>+</em><em><</em><em>C</em><em> </em><em>=</em> 180

110+<c =180

<c=180 - 110

:. <c =70

Pani-rosa [81]3 years ago
4 0

Answer:

70°

Step-by-step explanation:

A+B+C=180°

70°+40°+C=180°

C=180°-110°

C=70°

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Given the definitions of f(x) and g(x) below, find the value of g( f(-5)).
tensa zangetsu [6.8K]

Answer:

we conclude that:

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Step-by-step explanation:

Given

f(x) = x+9

g(x) = x² + 7x – 14

To determine

g(f(-5)) = ?

First, we need to find f(-5)

f(x) = x+9

substitute x = -5

f(-5) = (-5)+9

f(-5) = -5+9

f(-5) = 4

so

g(f(-5)) = g(4)

Now, we need to find g(4)

g(x) = x² + 7x – 14​

substitute x = 4

g(4) = (4)² + 7(4) - 14

g(4) = 16 + 28 - 14

g(4) = 30

i.e.

g(f(-5)) = g(4) = 30

Therefore, we conclude that:

  • g(f(-5)) = 30
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3 years ago
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3 years ago
A right prism has a base that is an equilateral triangle. The height of the prism is equal to the height of the base. If the vol
Romashka [77]

<u>Answer:</u>

Lengths of the sides (there are 3 sides in an equilateral triangle) of the base of prism is <u>5.72cm </u>each.

<u>Step-by-step explanation:</u>

As the base of triangular prism is equilateral:

∴ Area of base = (√ 3 / 4)× (side)²

According to question:

height of prism = height (side) of base

Volume of prism = 81 cm³,

∴ Volume of prism = Area of base x height

⇒  81 cm³ = (√ 3 / 4)× (side)² × height       ∵ side = height

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