Step-by-step explanation:
y=-3/4 ÷ -4/3
y=+9/16
Short Answers:
Answer for part A: Given
Answer for part B: Angle A = Angle D (not sure why this isn't in word bank?)
Answer for part C: ASA
Answer for part D: BC = EF
Answer for part E: CPCTC
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Explanations:
Part A:
AB = DE is given at the very top of the problem. So we simply say "given". We always repeat what we are given at the very start of the proof. You can see this for lines 1 through 3, which are repeating the three givens.
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Part B:
The three givens are:
AB = DE
angle A = angle D
angle B = angle E
the first and last of this trio is used (for statements 1 and 3 respectively). So the only thing left is "angle A = angle D"
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Part C:
We're using ASA (angle side angle) because we're given two pairs of congruent angles. The side for each triangle is between the two angles. See the attached diagram for more info.
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Part D:
For any proof, you will ALWAYS have the last statement be the thing you want to prove. In this case, we want to prove BC = EF.
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Part E:
CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent"
If the two whole triangles are congruent, then the smaller corresponding parts that make up the triangles must be congruent as well.
Hey there! This is gonna require the Pythagorean Theorem which is<span> a^2 + b^2 = c^2
</span>
a and b in this case are the legs while c is the hypotenuse! So, we can just plug in the numbers we know!
3^2 + 10^2 = c^2
9 + 100 = c^2
109 = c^2
And then take the square root of 109 to get the hypotenuse.
<span>10.4403065089 = c
</span>
Since we need to round to the nearest hundredth, though, it would be 10.44
I hope that helps! Feel free to let me know if you have any questions!
- mathwizzard3
Answer:
A) The numerator is 10.
B)The numerator is 18.
C)The numerator is 8.
D)The numerator is 16.
Step-by-step explanation:
A) 


The numerator ,a = 10.
B) 


The numerator, b = 18.
C) 


The numerator ,c = 8.
D)


The numerator,d = 16.