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rewona [7]
3 years ago
10

Find the following angle measures. mEAD = ° mCAB = °

Mathematics
2 answers:
Dimas [21]3 years ago
8 0
29 and 119
Just did it :(
sergejj [24]3 years ago
6 0

<u>Part 1)</u> Find m∠EAD

we know that

m∠EAD+m∠DAF+m∠BAF=180\° ----> by supplementary angles

solve for m∠EAD

m∠EAD=180\°-(m∠DAF+m∠BAF)

in this problem we have

m∠DAF=90\°

m∠BAF=61\°

substitute in the formula above

m∠EAD=180\°-90\°-61\°=29\°

therefore

<u>the answer part 1) is </u>

m∠EAD=29\°

<u>Part 2)</u>  Find m∠CAB

we know that

m∠CAB+m∠BAF=180\° --------> by supplementary angles

solve for m∠CAB

m∠CAB=180\°-m∠BAF

in this problem we have

m∠BAF=61\°

substitute in the formula above

m∠CAB=180\°-61\°=119\°

therefore

<u>the answer part 2) is</u>

m∠CAB=119\°

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Answer:

y=\frac{1}{36}\left(x-9\right)^2+7 is the the equation of parabola that has vertex (9,7) and passes through point (3,8).

Step-by-step explanation:

To solve this you need to use the vertex form of the equation of a parabola which is

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

Where (h, k)  are the coordinates of the vertex.

So, h = 9  and k =7

And one set of points on the graph

x = 3, y = 8

Solving the formula for a.

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

8=a\left(3-9\right)^2+7

\mathrm{Switch\:sides}

a\left(3-9\right)^2+7=8

36a+7=8

36a=1

a=\frac{1}{36}

To create a general formula for the parabola you would put in the values for a, h, and k and then simplify.

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

y=\frac{1}{36}\left(x-9\right)^2+7

Therefore, y=\frac{1}{36}\left(x-9\right)^2+7 is the the equation of parabola that has vertex (9,7) and passes through point (3,8).

The graph is also attached.

Keywords: equation of parabola, vertex, graph

Learn more about equation of parabola from brainly.com/question/12009928

#learnwithBrainly

8 0
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