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earnstyle [38]
3 years ago
6

Can someone help me . many points. also plz explain your answer.

Mathematics
1 answer:
Oxana [17]3 years ago
5 0
These are complementary angles, meaning they add up to 180
Let's write an equation
180=38 + 42 + (2x+10)
subtract 38 from both sides
142 = 42 + 2x + 10
subtract 42 from both sides
100 = 2x + 10
subtract 10 from both sides
90 = 2x 
divide both sides by 2
45 = x
Plug that back into the angle
2x+10
2(45)+ 10
90 + 10
100
The angle is 100 degrees.

To check:
180 =?= 38 + 42 + (2x+10)
180 =?= 38 + 42 + (2(45) + 10)
180 =?= 80 + (90 + 10)
180 =?= 80 + 100
180 = 180

Hope this helps :)

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7b squared -21b-273=7
guajiro [1.7K]

Answer:

Given 7b²-21b-273=7, the solutions are x1 = 8 and x2 = -5.

Step-by-step explanation:

Given 7b²-21b-273=7, first you need to equal zero. So

7b²-21b-273-7=0 ⇒ 7b²-21b-280 = 0

The secon step is to find the solutions applying Bhaskara´s formula x = (-b ± √(b²-4×a×c))/2×a

Where a=7, b= -21 and c= -280

After you identified each term, you have to replace it on the formula so....

x = (21 ± √(21² - 4×7×(-280)))/2×7 ⇒ x = (21 ± √(441 + 7840))/14                   ⇒ x = (21 ± √8281)/14

Then you will obtain two values for x, called x1 = 8 and x2=-5.

8 0
4 years ago
Read 2 more answers
Which method correctly solves the equation using the distributive property? Negative 0. 2 (x minus 4) = negative 1. 7 Negative 0
xenn [34]

The method which is used to solve the provided equation using the distributive property is,

\rm x = 4 + 8.5 = 12.5

<h3>What is distributive property?</h3>

The distributive property is to make something easier to do or understand and to make something less complicated.

The given expression is \rm - 0.2(x-4) = -1.7.

The expression can be written as

\rm 0.2(x-4) = 1.7

Divide both sides by 0.2

\rm x-4 = \dfrac{1.7}{0.2} = 8.5

Add 4 both sides, we have

\rm x = 4 + 8.5 = 12.5

Thus, the value of x is 12.5.

More about the distributive property link is given below.

brainly.com/question/13130806

4 0
3 years ago
The volume of a cylinder can be expressed as V=πr2h, where r is the radius, and h is the height of the cylinder.
olga_2 [115]

<em>Note: You missed to add the answer choices, so I am solving the overall procedure to determine the radius of the cylinder so that you could easily figure out the right choice.</em>

Answer:

The radius of the cylinder:

  • r\:=\:\sqrt{\frac{v}{\pi \:h}}

Step-by-step explanation:

The volume of a cylinder is represented by the formula

V=πr²h

here

  • r is the radius
  • h is the height

The radius of the cylinder can be computed using the formula of the volume of a cylinder

V = πr²h

r² = V / πh

Taking square roots

r\:=\:\sqrt{\frac{v}{\pi \:h}}

Thus, the formula of the radius of the cylinder.

r\:=\:\sqrt{\frac{v}{\pi \:h}}

Therefore, the radius of the cylinder:

  • r\:=\:\sqrt{\frac{v}{\pi \:h}}
7 0
3 years ago
Use the drop-down menus to complete each equation so the statement about its solution is true?
SashulF [63]

5 - 4 + 7x + 1 = 7x + (5 - 4 + 1) = 7x + 2


NO SOLUTIONS:

<em>5 - 4 + 7x + 1 = 7x + a    </em><em>(a - any real number, except 2)</em>


ONE SOLUTION:

<em>5 - 4 + 7x + 1 = bx + c     </em><em>(b - any real number, except 7, c - any real number)</em>


INFINITELY MANY SOLUTIONS:

<em>5 - 4 + 7x + 1 = 7x + 2</em>


Examples:

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3 = 5    FALSE      <em>(NO SOLUTIONS)</em>


2x + 3 = x - 4      <em>subtract x from both sides</em>

x + 3 = -4       <em>subtract 3 from both sides</em>

x = -7          (<em>ONE SOLUTION)</em>


2x + 3 = 2x + 3      <em>subtract 2x from both sides</em>

3 = 3     TRUE      <em>(INFINITELY MANY SOLUTIONS)</em>

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Factor the expression.<br> x^2 - 6x + 8
Keith_Richards [23]

Answer:

(x-4), (x-2)

i think this is what you're looking for

3 0
3 years ago
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