Identify the indicated angles as Adjacent, vertical, linear, or complimentary

Mathematics

1 answer:

Vesnalui [34]2 years ago

8 0

This is an adjacent angle. Both the angles have an common side and a common vertex. Hope this helped :)

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Solve. x2 + 14 = 9x A) x = 2, x = 7 B) x = 3, x = 5 C) x = −2, x = −7 D) x = −3, x = −5

chubhunter [2.5K]

Answer:

A) x = 2, x = 7

Step-by-step explanation:

x^2 + 14 = 9x

Subtract 9x from each side

x^2-9x + 14 = 9x-9x

x^2-9x + 14 = 0

What 2 numbers multiply to 14 and add to -9

-7*-2 = 14

-7+-2 = -9

(x-7)(x-2) = 0

Using the zero product property

x-7 = 0 x-2 =0

x=7 x=2

7 0

3 years ago

Please view picture. Also please tell mehow you got the answer

Cerrena [4.2K]

Have a look at the image attachment. I've added the points A, B, C, D such that
A = base of the diving board pole, or location of the pool deck
B = the location 1.6 meters directly above point A
C = location of the person's eyes
D = diving board location
The goal is to find the length of segment AD

We are given
AB = 1.6
BC = 3.67
what we want to find is
BD = x

Due to the fact we have similar right triangles ABC and CBD, we can form the proportion below and solve for x
AB/BC = BC/BD
1.6/3.67 = 3.67/x
1.6*x = 3.67*3.67
1.6*x = 13.4689
1.6*x/1.6 = 13.4689/1.6
x = 8.4180625

So BD is 8.4180625 meters
Use this to find the length of AD
AD = AB + BD
AD = 1.6 + 8.4180625
AD = 10.0180625
which rounds to 10.0 meters when rounding to the nearest tenth (one decimal place)

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Answer: choice D) 10.0 m