Answer h=-80
vvv STEP BY STEP vvv
Multiply both sides of the equation by
52-h=28
Move constant to the right-hand side and change its sign
-h=28+52
Add the numbers
-h=80
Change the signs on both sides of the equation
h=-80
Solve, for the first variable in one of the equation, the substitute the final result into the other equation
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; -
Remark
The tricky part is recognizing that BY = itself. It's called the reflexive property. The rest of it is done just by looking at the diagram.
<BYS = <BYV (The diagrams says these two are equal.
SY = YV Again the two lines are marked that way.
BY = BY A line is always equal to itself.
Conclusion
These two are congruent by SAS
Answer:
x = 2√30, y = 2√21
Step-by-step explanation:
You can create the following equations:
(1) from the left triangle with sides x, y and 6:
y² + 6² = x²
(2) from the right triangle with sides y, 14 and... lets call it z:
y² + 14² = z²
(3) from the big triangle:
x² + z² = 20²
(4) Combine (2) and (3) to eliminate z:
x² + y² + 14² = 20²
combine (1) and (4) to eliminate x:
y² + 6² + y² + 14² = 20²
simplify
2y² = 20² - 6² - 14² = 168
y² = 84
y = √84 = 2√21
x² = y² + 6² = 84 + 36 = 120
x = √120 = 2√30
Answer:
The answer is 3
Step-by-step explanation:
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