Answer:
x = 12
(2x + 1)° = 25°
(5x + 5)° = 65°
Step-by-step explanation:
By the property of a triangle,
Sum of all angles of a triangle is 180°
In the given right triangle,
(2x + 1)° + 90° + (5x + 5)°= 180°
7x + 96 = 180
7x = 180 - 96
x = 
x = 12
Angle (2x + 1)° = 2(12) + 1 = 25°
Angle (5x + 5)° = 5(12) + 5 = 65°
Therefore, all three angles of the right triangle are 25°, 90° and 65°.
Answer:
(x,y) --> (x, y-5)
Step-by-step explanation:
the y-intercept of f(x) = (0,2)
the y-intercept of g(x) = (0, -3)
-3 - 2 = -5
Answer:
1. L= A/W
2. 4m
Step-by-step explanation:
We can define this problem as a word problem relating to mensuration of flat shapes, a
rectangle
1. Let the length be L and the width be W
Given
Area A= 6m²
W= 1.5m
We know that the area of a rectangular shape is
Area = L x W
The expression for the length is
L= A/W
2. The solution for the length is
6=1.5L
L= 6/1.5= 4m
Answer:
The slope is 7.
Step-by-step explanation:
Let the given points are (p, q)= (-3, 10) & (r, s) =(-5, -4).
Then the slope (m) = (s-q)/(r-p)
⇒ m = (-4 -10)/(-5-(-3))
⇒ m = (-14) / (-5 +3)
⇒ m = -14/- 2
⇒m = 7
Hence the slope is m =7 .
The remainder is 8
Step-by-step explanation:
Given expression is
Which has to be divided by:
We have used the long division method for the given problem
The process is completed in two steps (Picture Attached)
Hence,
The remainder is 8
Keywords: Division, long division
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