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pantera1 [17]
2 years ago
14

Find the value of x?

Mathematics
1 answer:
Deffense [45]2 years ago
6 0

Answer:

145°

Step-by-step explanation:

See the attachment.  Angles A, B, and C all belong to the triangle.

We know that A + B + C = 180° since the angles of a triangle always add to 180°.  We also know that when two lines meet that their sum is also equal to 180°.  So we can write for each interior angle the following:

                                    <u>  Result</u>

<A = (180 - 88)                72

<B = (180-x)                  180-x

<C = (180 - 127)               53

The sum of angles A, B, and C is equal to 180:

 72 + (180-x) + 53 = 180

<h2><u>x = 145</u></h2>

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Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall. How many degrees should the shelf be re
sergey [27]

The shelf must be at right angles (90 degrees) relative to the wall.

Step-by-step explanation:

Dana concern is that the shelf must be perpendicular to the wall. This means that the angle between the wall and the Dana’s shelf must be 90 degrees.

The term “perpendicular” is sometimes used in the mathematical terminology for the angle of 90 degrees. Hence, the Dana’s shelf must be at 90 degrees relative to the wall.  It is to be noted here that straight lines make an angle of 180 degrees. Since the shelf is at 90 degrees, either side of the shelf would be at 90 degrees to the wall.

7 0
3 years ago
Levi rented a movie for $3.20 and bought a package of candy for $2.55. How much money did Levi spend in total?
Art [367]

The total amount of money Levi spent on renting movie and buying candy is $5.75

<h3>Equation</h3>

  • Amount Levi rented movie = $3.20
  • A package of candy = $2.55

Total = Amount Levi rented movie + A package of candy

= $3.20 + $2.55

= $5.75

Therefore, the total money spent by Levi is $5.75

Learn more about equation:

brainly.com/question/2972832

#SPJ1

3 0
2 years ago
iDentify the equation of the circle that has its center at (-27, 120) and passes through the origin A. (x−27)2+(y+120)2=123 B. (
melomori [17]
The equation of a circle is given in the form (x-a)^2+(y-b)^2=r^2, where

(a, b) is the centre of the circle
r = radius

We have the centre of the circle (-27, 120)
We can work out the radius by modelling the radius as the hypotenuse of a triangle as shown in the diagram below

r^2=27^2+120^2
r^2 = 15129

The equation of the circle is

[x-(-27)]^2+[y-120]^2=15129
[x+27]^2+[y-120]^2=15129

Correct answer: option number 4

7 0
3 years ago
Write a sine function that has a midline of 2, an amplitude of 4 and a period of 11.
svetoff [14.1K]

Answer:

y = 4 sin(2π/11 x) + 2

Step-by-step explanation:

y = A sin(2π/T x + B) + C

where A is the amplitude,

T is the period,

B is the phase shift,

and C is the midline.

A = 4, T = 11, and C = 2.  We'll assume B = 0.

y = 4 sin(2π/11 x) + 2

3 0
3 years ago
Help please ASAP!!
Fittoniya [83]

Answer:

\displaystyle 702

Step-by-step explanation:

we are given a exponential function

\displaystyle f(x) =  {3}^{x + 1}  - 22

where x represents the number and f(x) represents the amount

we are also given that when x is 3 then f(x) is 59 likewise when x is 6 then f(x) is 2165

to figure out the average rate of change between 3 and 6 we can consider the average rate of change formula given by

\displaystyle m =  \frac{ f(x)_ {2} -  f(x)_{1} }{ x_{2} -  x_{1} }

substitute what we have:

\displaystyle m =  \frac{ 2165 -  59 }{6 - 3 }

simplify substitution:

\displaystyle m =  \frac{2106 }{3 }

simplify division:

\displaystyle m =  702

hence, the average rate of change between 3 and 6 is <u>7</u><u>0</u><u>2</u>

6 0
2 years ago
Read 2 more answers
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