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hjlf
4 years ago
8

Two adjacent angles whose exterior sides are opposite rays are complementary.

Mathematics
1 answer:
Sholpan [36]4 years ago
7 0
C. since opposite means 180 degrees between two angles and complimentary angles equal 90.
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A square is drawn on the coordinate plane. The endpoints of one of its sides are located at (-2,4) and (-2,-11). What is a perim
lisabon 2012 [21]

Answer:

60

Step-by-step explanation:

see attachment for explanation

7 0
3 years ago
The mean of the data set(9,5,y,2,x)is twice the data set (8,x, 4,1,3).What is (y-x)
pantera1 [17]

Answer:

y - x = 16

Step-by-step explanation:

<u><em>Explanation</em></u>:-

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

Given data set A  is  9,5,y,2,x

<em>Mean of the Data set A </em>

<em>                          =   </em>\frac{9 + 5 + y + 2 +x}{5}<em></em>

<em>                          = </em>\frac{16 +x+y}{5}<em></em>

<em>Given data set B is 8, x, 4, 1, 3</em>

<em>Mean of the Data set B </em>

                         =   \frac{8+ x+4+1+3}{5}

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

<em>Mean of the Data set A  = 2 X Mean of the Data set B </em>

<em>               </em>\frac{16 +x+y}{5} =  2 X \frac{16+x}{5}<em></em>

<em>On simplification , we get</em>

           16 +x + y = 2( 16 +x)

           16 + x + y = 32 + 2 x

            16 + x + y - 32 - 2 x = 0

            y - x -16 =0

           y - x = 16

5 0
3 years ago
A right triangle has side lengths a, b, and c as shown below.
Musya8 [376]

Answer:

\bold{\sin x = \frac{b}{c}}\bold{\\\cos x = \frac{a}{c}}\bold{\\\tan x = \frac{b}{a}}

Step-by-step explanation:

Given that

A right triangle has side lengths a, b, and c

Because you did not attached photo of the right triangle so I will assume that:

  • Side a is the adjacent (A)
  • Side b is the opposite (O)
  • Side c is the hypotenuse (H)

(Please have a look at the attached photo)

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

\sin x = \frac{O}{H}\\\cos x = \frac{A}{H}\\\tan x = \frac{O}{A}

EX: the sine of x is equal to the side opposite of angle x over the hypotenuse. Hence, we have the expressions of the trigonometric functions as shown below:

\bold{\sin x = \frac{b}{c}}\bold{\\\cos x = \frac{a}{c}}\bold{\\\tan x = \frac{b}{a}}

Hope it will find you well

4 0
3 years ago
Find the circumference of a circle with diameter, d = 23cm.<br>Give your answer in terms of pi​
laila [671]

Answer:

perimeter =

23\pi

Step-by-step explanation:

perimeter

  • = 2 × pi × radius
  • = diameter × pie ( 2 × radius )
  • = 23 × pi

=

23\pi

6 0
3 years ago
PLEASE HELP. Which is the best interpretation of the solution set for the compound inequality? 3/2x-1&lt;2x + 4 or 3(2/3x + 1) &
Fudgin [204]
(3/2)x-1<2x+4
3x-2<4x+8
-2<x+8
-10<x
x>-10

3((2/3)x + 1) < 11
(3*2/3)x+1*3<11
2x +3<11
2x<8
x<4

so the compound equality is the set of all numbers which are >-10 or <4, which are D) all real numbers
5 0
4 years ago
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