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Contact [7]
3 years ago
13

I need to know what the measure of angle x is from the picture given ? :(

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
8 0

Given angle 105 degrees:


1. Find the complement of the 105 degree angle: 75 degrees

2. Now we know that the vertical angle across from this 75 degree angle is also 75 degrees.

3. Now we know 2/3 angles in the bottom left triangle. (39+75+y = 180)

4. Solve for y, and y = 66 degrees

5. The vertical angle across from y is x, and it also is 66 degrees


Answer: 66 degrees

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The following function represents the value of a car, in dollars, after x years:
Assoli18 [71]

Answer:

Option D.The decrease in the value of the car, which is 8%

Step-by-step explanation:

we have a exponential function of the form

f(x)=a(b)^{x}

where

y is the value of the car

x is the time in years

a is the initial value

b is the base

r is the rate of decrease

b=1+r

In this problem we have

a=$24,000 initial value of the car

b=0.92

so

0.92=1+r

r=0.92-1=-0.08=-8%-----> is negative because is a rate of decrease

8 0
3 years ago
Read 2 more answers
Find the equation for a polynomial f(x) that satisfies the following:
denis-greek [22]

Answer:

f(x) = 1/2(4 - x)(x - 1)(x - 2)

Step-by-step explanation:

Considering zero's and a coefficient, the function is:

f(x) = a(x - 4)(x - 1)(x - 2)

Considering y-intercept:

f(0) = a(0 - 4)(0 - 1)(0 - 2)

4 = a(-4)(-1)(-2)

4 = -8a

a = -1/2

So the function is:

f(x) = -1/2(x - 4)(x - 1)(x - 2) = 1/2(4 - x)(x - 1)(x - 2)

3 0
2 years ago
What are the zeros of f(x)=x^2+x-20?
zzz [600]
F(x) = x² + x - 20 = x² + 5x - 4x - 20 = x(x + 5) - 4(x + 5) = (x + 5)(x - 4)

f(x) = 0 ⇔ (x + 5)(x - 4) = 0 ⇔ x + 5 = 0 or x - 4 = 0 ⇒ x = -5 or x = 4

Answer: C. x = -5 and x = 4.
3 0
3 years ago
The width of a rectangle is 7 inches less than its length. The area of the rectangle is 120 square inches. Solve for the dimensi
pav-90 [236]

Answer:

Length is 15 inches

Width is 8 inches

Step-by-step explanation:

A = L*W

the Width = L-7

120 = L (L-7)

120 = L^2-7L

subtract 120 from each side

0 = L^2 - 7L - 120

(L-15) (L +8 )

so L = 15  inches

and W = 15-7 = 8 inches

check your answer: does 15*8 = 120? yes!

6 0
3 years ago
Please answer the two questions on the photo
SIZIF [17.4K]

Answer:

a) 7 tiles

b)4 1/3 tiles*

Step-by-step explanation:

*you would need 5 tiles if the answer isn't supposed to be a fraction. 4 1/3 is the exact amount but if they are asking for whole tiles you need to put 5. since they didn't actually specifiy that i don't think you have to worry about it. i would go with 4 1/3 tiles

3 0
3 years ago
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