Note: The missing diagram is attached below for a reference.
Answer:
Step-by-step explanation:
Given:
- ∠T and ∠V are right angles.
-
║ 
To Prove:
- Δ
≅ Δ
As
∠
≅ ∠
≅
(Given)
Side
≅
║ 
and
is a transverse
So,
∠
≅ ∠
![\left[alternate\:\:interior\:\:angles\right]](https://tex.z-dn.net/?f=%5Cleft%5Balternate%5C%3A%5C%3Ainterior%5C%3A%5C%3Aangles%5Cright%5D)

Thus,
- Δ
≅ Δ
Keywords: proof, paragraph, logic, reason
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Answer:
her bank statement will show that she has $144 less than her checkbook balance
Step-by-step explanation:
let the amount of money in the bank before writing the check be x
after writing the check for $72, because she accidentally recorded this as a credit, here checkbook will reflect a balance of :$(x + 72)
However, the bank correctly records the debit of the $72, resulting a balance of: $(x-72)
Hence compared to her checkbook, the bank records will show an amount difference of :
(x-72) - (x + 72)
= x - 72 -x -72
= -144
i.e her bank statement will show that she has $144 less than her checkbook balance
the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.
We find the slope of parallel line using two given points
(5, -8) and (2, 4)
Slope formula is



so slope = -4
Slope of any two parallel lines are always equal
Lets find the slope of the equation 13y + kx = 4
Subtract kx on both sides
13 y = -kx + 4
Divide both sides by 13

Now slope = -k/13
We know slope of parallel lines are same
So the slope of 13y + kx = 4 is also -4
Hence we equation the slope and find out k

Multiply by 13 on both sides and divide by -1
k = 52
the value of k = 52
Answer:
False
Step-by-step explanation:
Angles a and b add to 180° (linear pair), so angle b is 68°.