Triangle R Q S is cut by line segment T U. Line segment T U goes from side Q R to side Q S. The length of Q T is 32, the length
of T R is 36, the length of Q U is 40, and the length of U S is 45.
Use the converse of the side-splitter theorem to determine if T R is parallel to R S. Which statement is true?
Use the converse of the side-splitter theorem to determine if T R is parallel to R S. Which statement is true?
2 answers:
Answer:
the first statement is true
Step-by-step explanation:
The side- splitter states that if the line is parallel to a side of the triangle and it intersects the other 2 sides, it divides those sides proportionally.
Thus the converse is that if the sides are proportional then the side TU is parallel to the side RS
Calculating the ratios
=
=
=
=
Since the ratios are equal then TU is parallel to RS
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Answer:
The only correct options are A, B and E.
Step-by-step explanation:
He buys pounds of flour, 12 ounces of coconut, and
pounds of sugar.
We will add these together, but before that, we convert the 12 ounces to pounds, so that all the units are the same:
1 ounce = 0.0625 pounds
12 ounces = 12 * 0.0625 = pounds
He buys pounds of coconut.
Adding all of them together yields:
+
+
=
pounds
Let us also convert to ounces:
/ 0.0625 = 56 ounces
Let us also convert 1/2 pound to ounces:
1/2 / 0.0625 = 8 ounces
Hence, the total weight of ingredients that Dwayne bought is pounds or 56 ounces or 3 pounds 8 ounces
Hence, options A, B and E are correct.