Answers:
- x = 10
- angle CAT = 126 degrees
- angle MUD = 54 degrees
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Explanation:
∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.
( m∠CAT ) + ( m∠MUD ) = 180
( 11x+16 ) + ( 4x+14 ) = 180
11x+16 + 4x+14 = 180
(11x+4x) + (16+14) = 180
15x+30 = 180
15x = 180-30
15x = 150
x = 150/15
x = 10
Let's find each angle based on this x value
- m∠CAT=11x+16 = 11*10+16 = 110+16 = 126 degrees
- m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees
Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.
Answer:
A=4.
Step-by-step explanation:
Note: In the expression of area the first term should be 
.
It is given that area of a rectangular floor of your house is 
and the length is 
units.
We know that, area of a rectangle is
Since length of the rectangle is , therefore is a factor of and the value of is 0 at x=-2.
Divide both sides by 4.
Therefore, the value of A is 4.
Answer:
25
Step-by-step explanation:
Let us assume that m<1 nad m<2 are supplementary. Since the sum of supplementary angles is 180degrees, hence;
<1 + <2= 180
123+2x+7 = 180
130+2x = 180
2x = 180 - 130
2x = 50
x = 50/2
x = 25
Hence the value of x is 25
