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Nezavi [6.7K]
3 years ago
7

If angle x and angle y form a linear pair then they are ______ (Congruent, Complementary, Supplementary) ???

Mathematics
1 answer:
Law Incorporation [45]3 years ago
4 0

Answer:

They are supplementary.

Step-by-step explanation:

If two angles form a linear pair, the angles are supplementary.

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A room is 20 feet by 25 feet with a 10-foot ceiling. If Mickey paints the walls and the ceiling, how much surface area will he c
Svetradugi [14.3K]

Answer:

1400ft²

Step-by-step explanation:

Given

Room Dimension: 20 ft by 25 ft by 10 ft

Where Length = 20 ft

Width = 25 ft

Height = 10 ft

Required

Surface area of painted walls and ceiling

We'll assume that the room is rectangular in shape and all 4 sides are covered.

<em>This means that Mickey will paint 4 walls and 1 ceiling.</em>

The dimension of the 2 of the 4  walls is as follows;

20ft by 10ft, 25ft by 10ft,

Because opposite sides of a rectangle are equal, the dimension of the remaining 2 walls is: 20ft by 10ft, 25ft by 10ft

Calculating the area of the 4 walls;

Area = 20ft * 10ft + 25ft * 10ft + 20ft * 10ft + 25ft * 10ft

Area = 200ft^2 + 250ft^2 + 200ft^2 + 250ft^2

Area = 900ft^2

The dimension of the ceiling is as follows:

20ft by 25ft

Calculating the area of the ceiling

Area = 20ft * 25ft

Area = 500ft^2

So, the area Micky will cover = Area of 4 walls + Area of ceiling

Total Surface Area = 900ft^2 +500ft^2

Total Surface Area = 1400ft^2

Hence, Micky will cover 1400ft²

6 0
3 years ago
Solve the equation: Sin2x - Sinx = 0
Viktor [21]
We know that sin2x=2sinxcosx 
(search the net for proof if you wish) 

So the original equation becomes

2sinxcosx-sinx=0
The two terms both have sinx that can be taken out to get: 

sinx(2cosx-1)=0 
This is true if sinx=0 or 2cosx-1=0 , rewritten: cosx=1/2

sinx=0 than x=2kπ
cosx=1/2 than x=π/3+2kπ
where k is an integer

5 0
3 years ago
Solve |2x - 2| &lt; 8
Maurinko [17]
C
You split inequality into
2x-2>8 and 2x—2<-8
X>5. X<-3
5 0
3 years ago
What is 1 7/10 divided by 3/5 ?
charle [14.2K]
The first step is to change the mixed number into an improper fraction.
1 7/10 = 17/10
(17/10) / (3/5) =
(17/10) * (5/3) = (change the division to a multiplication by the reciprocal.
17/6 = 2 5/6
6 0
3 years ago
Read 2 more answers
5x+12=44 then value of 5x-12=?​
KATRIN_1 [288]

Answer:

If 5x+12=44 then value of 5x-12 is 20

Step-by-step explanation:

5x + 12 = 44

  • The first step, we have to find the value of x

5x + 12 = 44

5x = 44 - 12

5x = 32

x = 32/5

x = 6.4

  • After that, insert the value of x into 5x - 12

5x - 12 = ...

5 ( 32/5 ) - 12

= 32 - 12

= 20

3 0
3 years ago
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