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coldgirl [10]
3 years ago
8

Which of the following theorems verifies that ABC ~ STU?

Mathematics
1 answer:
Lunna [17]3 years ago
4 0

Answer:

B. AA

Step-by-step explanation:

The diagram given shows that two angles in ∆ABC are congruent to two corresponding angles in ∆STU.

Invariably, the third unknown angle of both triangles would also be equal going by the third angle theorem.

Thus, based on the AA Similarity Theorem which says that two triangles are similar to each other if two corresponding angles of one is congruent to two angles in the other, ∆ABC ~ ∆STU.

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Alex, Bob, and Claudia split 126 cm wire evenly among themselves. They then proceeded to cut their pieces of wire into smaller,
Westkost [7]
<h3>Answer:</h3>
  • Bob
  • 18 cm
<h3>Step-by-step explanation:</h3>

If Alex cut his wire 18 times, he ended up with 19 equal pieces. He kept 7, so has 7/19 of his 1/3 of the wire.

Bob cut his wire 20 times, so ended up with 21 pieces, of which he kept 9. So he has 9/21 = 3/7 of his 1/3 of the wire.

Claudia kept 1/13 of her 1/3 of the wire, so has the smallest piece.

Bob kept (3/7)·(1/3)·126 cm = 18 cm.

Alex kept (7/19)·(1/3)·126 cm ≈ 15.47 cm.

Bob kept the longest part of the original wire.

3 0
3 years ago
. Which graph has f(x) = 1xI as its parent function?
Blababa [14]

Answer: Im not sure

Step-by-step explanation:

you didnt list/provide the graphs for me to answer. :I

6 0
1 year ago
Brent and Lance leave a park on bicycles traveling at constant rates in opposite directions. After 2.5 hours, they are 85 miles
stealth61 [152]

Answer:

18 mph so B is correct 16+2= 18

8 0
3 years ago
Read 2 more answers
Write an inequality for the graph below
andrezito [222]

Answer:

y > -1/4x + 4

Step-by-step explanation:

First find the equation of the line itself, which is y = -1/4x + 4, then determine if graph shades above the line or below the line. If it shades above which is true in this case, it will be greater than. If it shades below which does not occur in this case, it will be less than. Because the line is dashed and not solid, it will just be greater than or less than.

Therefore y = -1/4x + 4 → y > -1/4x + 4 [Shades above the line, line is dashed].

6 0
2 years ago
(Round to the nearest tenth of a percent.) In 2011, the IRS increased the deductible mileage cost to
RUDIKE [14]

Answer:

\%Change = 8.8\%

Step-by-step explanation:

Given

Initial = 51\ cents

Final = 55.5\ cents

Required

Determine the percentage change

Percentage change is calculated as;

\%Change = \frac{Final - Initial}{Initial} * 100\%

\%Change = \frac{55.5 - 51 }{51 } * 100\%

\%Change = \frac{4.5}{51} * 100\%

\%Change = \frac{4.5* 100\%}{51}

\%Change = \frac{450\%}{51}

\%Change = 8.8\%

<em>Hence, the percentage change is approximately 8.8%</em>

6 0
3 years ago
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