Answer:
x = 33
Step-by-step explanation:
Two angles are complementary as the sum of two angles is 90
x + 24 + x = 90 {Combine like terms}
2x + 24 = 90 {Subtract 24 from both sides}
2x = 90 - 24
2x = 66
x = 66/2
x = 33
Answer: Choice A) AA postulate; 18
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Work Shown:
The triangles are similar to each other due to the AA (angle angle) postulate. The top angles are overlapping or shared angles. So that's the first pair. The second pair of angles is either bottom pair of angles, from the fact that corresponding angles are congruent. This is only true if the lines are parallel.
Due to the similar triangles, we can set up the proportion and solve for x
8/(8+4) = 12/x
8/12 = 12/x
8*x = 12*12 ... cross multiply
8x = 144
x = 144/8
x = 18
Answer:
25.1 kg
Step-by-step explanation:
A suitable probability calculator can tell you the 5th percentile of this distribution.
Answer:
50 mph
Step-by-step explanation:
<u>Speed of Jaguar given:</u>
- 2.5 miles in 3 mins
- Speed in mph = ?
<u>Solution:</u>
- 2.5 miles / 3 mins =
- 2.5 miles / (3/60 h) =
- 2.5*60/3 mph =
- 2.5*20 mph =
- 50 mph
Answer:
x = 67°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180 for x , that is
x = 180° - (38 + 75)° = 180° - 113° = 67°