Please help.... fast

Mathematics

1 answer:

zloy xaker [14]3 years ago

8 0

Answer:

Step-by-step explanation:

It tells you the triangle is a right triangle and it tells you that the hypotenuse of both triangles is congruent.

I'm confident that this is the answer.

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Mike takes 20 minutes longer than Erica does to make the 462-mile drive between two cities. Erica drives 3 miles an hour faster.

kkurt [141]

Answer with explanation:

Let speed of Mike =x miles an hour

Then, Speed of Erica=(x+3) miles an hour

Total Distance between two cities which needs to get traveled by Mike and Erica=462 mile

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}\\\\ \frac{462}{x}-\frac{462}{x+3}=\frac{20}{60}\\\\462 \times 3\times (x+3-x)= x \times (x+3)\\\\x^2+3x=4158\\\\x^2+3x-4158=0\\\\x^2+66x-63x-4158=0\\\\x*(x+66)-63*(x+66)=0\\\\(x-63)(x+66)=0\\\\x\neq -66{\text{speed can't be negative}}\\\\x=63$