Determine if triangle OPQ and triangle RST are or are not similar, and, if they are, state which triangle similarity shortcut (A
A, SSS, SAS) you can use to prove it. Show your work below proving that the triangles met the shortcut's criteria (Note that figures are NOT necessarily drawn to scale.)
1 answer:
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Answer:
x = 21
Explanation:
In a parallelogram, each two opposite angles are equal.
In the given parallelogram ABCD, we can note that angles A and C are opposite angles. This means that they have equal measures.
Therefore:
∠A = ∠C
x + 17 = 2x - 4
17 + 4 = 2x - x
x = 21
We can check:
angle A = 21 + 17 = 38°
angle C = 2(21) - 4 = 38°
They are equal
Hope this helps :)
x = 21
Explanation:
In a parallelogram, each two opposite angles are equal.
In the given parallelogram ABCD, we can note that angles A and C are opposite angles. This means that they have equal measures.
Therefore:
∠A = ∠C
x + 17 = 2x - 4
17 + 4 = 2x - x
x = 21
We can check:
angle A = 21 + 17 = 38°
angle C = 2(21) - 4 = 38°
They are equal
Hope this helps :)
Answer:
see the explanation
Step-by-step explanation:
we know that
The circumference of a circle is equal to
where
D is the diameter
In this problem we have
substitute and solve for D
we know that
The length of the row of quarters is equal to multiply the diameter of the quarter by the number of quarters in the row
so
For 4 quarters in the row, the length is equal to -->
For 6 quarters in the row, the length is equal to -->
For 12 quarters in the row, the length is equal to ->