Answer:
B
Step-by-step explanation:
Answer:
(i)Here ∠HGB=∠AGE(vertically opposite angles)
∠HGB=110
∘
Now, for parallel lines l and m, with transversal t.
∠HGB+∠GHD=180
∘
(Angles on the same side of the transversal are supplementary)
110
∘
+∠GHD=180
∘
∠GHD=180
∘
−110
∘
=70
∘
(ii)For parallel lines l and m with transversal a
∠AIE=∠CJI (corresponding angles)
⇒x=100
∘
Answer:
x=0, y=4
x=2, y=5
x=4, y=6
x=6, y=7
x=8, y=8
x=10, y=9
For every x value goes up one, the y value goes up 2.
Step-by-step explanation:
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The value of y is 11 if the measure of the angle (x + 6y) is 90 degree and x = 24 option first is correct.
<h3>What is a perpendicular line?</h3>
Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other known as parallel lines.
We have a perpendicular line shown in the picture.
The measure of the angle (4x - 6) is equal to 90 degree.
4x - 6 = 90
4x = 96
x = 24
Similarly, the measure of the angle (x + 6y) is equal to 90 degree:
x + 6y = 90
Plug x = 24
24 + 6y = 90
y = 11
Thus, the value of y is 11 if the measure of the angle (x + 6y) is 90 degree and x = 24 option first is correct.
Learn more about the perpendicular line here:
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You would form this inequality:
52 + 2x < (or equal to) 180
Then, solve as you would in an ordinary equation.
Subtract 52 from both sides of the sign. 180 - 52 = 128.
So, 2x is less than or equal to 128.
Divide 128 into two to get 64.
The height of the frame must be 64 inches.
