Johny has 100 bottels of dish soap

Mathematics

1 answer:

sveta [45]3 years ago

4 0

Johnny now has 90 so Jeana did not take 25 she only took 10

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Type SSS, SAS, ASA, AAS, or HL to justify why AABC = ADEF.<br><br> AC FD and AB = DE

bezimeni [28]

The theorem that justifies why triangles ABC and DEF are congruent is: HL.

<h3>What is the Hypotenuse-Leg Congruence Theorem (HL)?</h3>

The hypotenuse-leg congruence theorem (HL) states that if two triangles that are right triangles have a pair of congruent hypotenuse and a pair of corresponding congruent legs, then both right triangles are proven to be congruent to each other. This means both right triangles are have the same shape and size.

Given that:

angle ABC = angle DEF = 90° (congruent right angles, this means both triangles are right triangles)

AC = FD (a pair of congruent hypotenuse)

AB = DE (a pair of congruent legs)

Thus, we can conclude that since triangle ABC and triangle DEF have a pair of congruent hypotenuses and a pair of congruent legs, therefore, the two right triangles, triangle ABC and triangle DEF are congruent to each other by the HL congruent theorem.

Thus, the theorem that justifies why both triangles are congruent is: HL.

Learn more about the HL congruence theorem on:

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1 year ago

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In 2015, nearly seven out of every ten autos sold in a country was a crossover utility vehicle (CUV). If an auto dealership sold

Over [174]

Answer:

2,800 CUV cars were sold

Step-by-step explanation: