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Anna007 [38]
3 years ago
7

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Mathematics
2 answers:
ryzh [129]3 years ago
5 0
(3x + 13) + (8x + 14) + 109 = 180°

(3x + 13) + (8x + 14) = 71°

11x + 27 = 71°

11x = 44°

x = 4
drek231 [11]3 years ago
5 0

Answer:

x = 4

(3x + 13) = 25°

(8x+ 14) = 46°

Step-by-step explanation:

(3x + 13) + (8x +14) + 109 = 180 (Angles of a triangle)

11x + 136 = 180

11x = 180 - 136

11x = 44

x = 4

Substituting the value of x

(3x + 13) = 3×4 + 13 = 12 + 13 = 25

(8x + 14) = 8×4 + 14 = 32 + 14 = 46

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6 0
3 years ago
If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(1))?
Murrr4er [49]

Answer:

f(g(1))=11

Step-by-step explanation:

So we have the two functions:

f(x)=2x+7\text{ and } g(x)=-3x+5

And we want to find f(g(1)).

So, let's find g(1) first:

g(x)=-3x+5

Substitute 1 for x:

g(1)=-3(1)+5

Simplify:

g(1)=-3+5

Add:

g(1)=2

So:

f(g(1))=f(2)

Now, substitute 2 for x in f(x):

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Multiply:

f(2)=4+7

Add:

f(2)=11

So:

f(g(1))=11

8 0
3 years ago
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So now you know that the y-intercept is -3, you can see that your final answer must be the first option, y = 5x - 3.

I hope this helps!
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