Answer:
z=31°
Step-by-step explanation:
32°+117°+z=180°{ sum of angle of triangle}
z=180-149
z=31°
<h2>stay safe healthy and happy.</h2>
Answer:
11.6 foot
Step-by-step explanation:
Length of the Ladder=12 foot
Distance of the base of the Ladder from the House=3 foot
Since the ladder leans against the wall in a slant position, it is the hypotenuse.
From Pythagoras Theorem,
Hypotenuse ²= Opposite ²+ Adjacent ²
12²=3²+x²
x²= 12²-3²=144-9=135
x=√135=11.61895003862
The Ladder reaches up to a height of 11.6 foot (to the nearest tenth) on the house.
Answer:
Step-by-step explanation:
Let the sides of the triangle be a, b and c.
<u>We have:</u>
- P = a + b + c = 29
- a = 2b - 5
- c = b + 6
<u>Substitute values and solve for b:</u>
- 2b - 5 + b + b + 6 = 29
- 4b + 1 = 29
- 4b = 28
- b = 7
<u>Find a and c:</u>
- a = 2*7 - 5 = 14 - 5 = 9
- c = 7 + 6 = 13
<u>The sides are:</u> 7, 9, 13
Francesca got home first because If you round 13/15 you get 1 whole.
"AB84"
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Answer:
Step-by-step explanation:
Notice that the y-component is the same, -2, in these two points. That means y does not change as x changes, and therefore we conclude that the slope of the line connecting the two points is m = rise / run = 0.
-2 - (-2)
Alternatively, use m = -------------- = 0
3 - 13
The value of the slope in question is zero: m = 0