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Lera25 [3.4K]
3 years ago
8

How did my teacher get 11 for #17

Mathematics
2 answers:
Rina8888 [55]3 years ago
7 0
Complementary angles mean that the sum adds up to 90 degrees.
We are given A and B are complementary, so
angle A + angle B = 90  (as stated in the solution).
Substituting angles, =>
3x-8 + 5x+10 = 90
group like terms
3x + 5x -8 +10 =90
simplify
8x + 2 =90
Subtract 2 from each side of the equal sign
8x +2 -2  =  90 -2
=>
8x = 88
divide by 8 on both sides
8x/8 = 88/8
x = 11

Substitute x=11 into angles A and B
angle A = 3x-8 = 3(11)-8 = 25 degrees
angle B = 5x+10 = 5(11)+10 = 65 degrees

Check supplementary angles
A+B = 25+65 = 90   => angles A & B are complementary, .... solution is good.
wel3 years ago
5 0
Complementary angles ⇒ the angles add up to 90°

∠A and ∠B are complementary ⇒ ∠A + ∠B = 90°

∠A + ∠B = 90°

Plug in the values for ∠A and ∠B:
(3x - 8) + (5x + 10)  = 90

Open the brackets:
3x - 8 + 5x + 10 = 90

Combine like terms:
8x + 2 = 90

Subtract 2 from both sides:
8x = 88

Divide both sides by 8:
x = 11

Answer: x = 11
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Which function will have a change in direction?
Ivahew [28]

Answer:

Quadratic

Step-by-step explanation:

A linear equation is just a line and an exponential function goes in the same direction

A quadratic us a parabola which has a turning point

3 0
3 years ago
Factor the polynomial completely. Use synthetic division. <br><br> F(x) = x^3-7x-6
aleksklad [387]

Answer:

The factors of given polynomial    x =-1 , -2 and x =3

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given the polynomial  

                    f(x) =  x³ - 7x -6

 put x =-1

               f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0

(x+1) is a one factor

By using synthetic division

                   x³    x²      x      constant

     x=-1  ↓   1      0      -7        -6

             <u>↓   0     -1      1          6</u>

            <u>       1       -1      -6       0     </u>

<u />

<em>The polynomial    x² - x - 6 </em>

<u><em>Step(ii):-</em></u>

The factors ( x+1)(x² - x - 6 ) = 0

     x = -1 and x² - x - 6 =0

    x =-1    and  x² - 3x + 2 x - 6 =0

   x =-1     and  x (x -3) + 2( x-3) =0

   x =-1     and  (x+2)(x-3) =0

<u><em>Final answer:-</em></u>

The factors of given polynomial    x =-1 , -2 and x =3

6 0
3 years ago
Given f() = -4x + 3, find f(-3)
Fittoniya [83]

Answer:

The answer is 15

Step-by-step explanation:

f(x) = -4x + 3, f(-3)

f(-3) = -4x + 3

f(-3) = -4(-3) + 3

f(-3) = 12 + 3

f(-3) = 15

Thus, The answer is 15

8 0
2 years ago
Read 2 more answers
What's the answer for those two questions and explain how you get that answer
swat32
B. and D. For the both I'm most likely sure
3 0
3 years ago
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Data Set 1 has a mean of 54 and a MAD of 4. Data Set 2 has a mean of 60 and a MAD of 2. What can be concluded about the two dist
juin [17]
These were the right answers. Hope they help

3 0
3 years ago
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