Answer: The HL Theorem can be used to prove ABR ≅ RCA because both triangles share the same hypotenuse and a leg. The HL theorem states that If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
<h3>
Answer: Choice B</h3>
Angle 1 = 147 degrees
Angle 2 = 80 degrees
Angle 3 = 148 degrees
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Work Shown:
(angle 1) + 33 = 180
angle 1 = 180-33
angle 1 = 147 degrees
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Focus on the left most triangle that has angles 33 and 47 as interior angles. The missing angle is 180-33-47 = 100 degrees
The angle exterior to this 100 degree angle is angle 2
angle 2 = 180-100 = 80
We have enough info to conclude the answer must be choice B.
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Let's keep going to find angle 3
The vertical angle for the 100 degree angle is also 100 degrees. This second 100 degree angle is part of the triangle on the right
This triangle on the right has interior angles 100 and 48
The missing interior angle is 180-100-48 = 32
The angle supplementary to this is 180-32 = 148, which is angle 3.
The ratio 9:7 gives you following statement:
- Carl will win in 9 cases from 9+7=16;
- Carl will lose in 7 cases from 16.
Then the probability that Carl will lose is
Answer:
Answer:
-54
Step-by-step explanation:
Substitute the numbers for the variables.
-(5)+7(-7)
=-5-49
=-54
50 degrees if it is a right angled triangle
