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Mariana [72]
3 years ago
11

Find the measures of the four numbered angles

Mathematics
1 answer:
Genrish500 [490]3 years ago
5 0
First, find out x
x+15+2x+15=180
3x+30=180
3x=150
x=50
so the two angels are x+15=65(let's name is ∠5 for convenience), and ∠6= 2x+15=115
notice the two inner lines are marked as congruent, so 
∠4=∠5=65
∠1=180-∠4-∠5=180-65-65=50
Name the right bottom angle ∠7, ∠3=∠7 and ∠3+∠7=the exterior angle 100 degree, therefore, ∠3=50
∠2+∠3=∠4, therefore, ∠2=∠4-∠3=65-50=15
∠1=50, ∠2=15, ∠3=50, ∠4=65
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Substitute

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svlad2 [7]
ANSWER

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is

(9,5)



EXPLANATION

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y = a {(x - h)}^{2}  + k

where
V(h,k)
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The function given to us is

y =  \frac{1}{3}  {(x - 9)}^{2}  + 5
This is already in the vertex form.


When we compare this to the general vertex form, we have,

a =  \frac{1}{3}

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Therefore the vertex of the parabola is

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7 0
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Answer:

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We can check with any point also

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The answer to the question is c
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