3 years ago

Which rule explains why these triangles are congruent?

Mathematics

1 answer:

Zinaida [17]3 years ago

7 0

Answer:

Side Angle Side

Step-by-step explanation:

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Which equation is the inverse of y=100-x2

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Answer:

f^-1(x)=100-x

Step-by-step explanation:

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Step-by-step explanation:

If you do 13x1.50= 19.5

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3 years ago

What is the solution to the system of equations?

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Answer:

No solution

Step-by-step explanation:

Note how "2x" shows up in both equations. This suggests doing a substitution to solve the system.

Focus first on the first equation. Solving 2x - y = 7 for 2x, we get:

2x = y + 7.

Next, we substitute y + 7 for 2x in the second equation:

y = (y + 7) + 3.

Simplifying this produces:

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This is not true and can never be true. Thus, this system has no solution.

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Students receive a 15% discount at the local movie theater. If a student pays the discounted price of $7.65, what is the origina

Over [174]

Answer:

$\large \boxed{\$9.00}$

Step-by-step explanation:

Let p = the original price of the ticket

$\begin{array}{rcl}\text{ Price before discount - discount} & = & \text{sale price}\\p - 0.15p & = & 7.65\\0.85p & = & 7.65\\p & = & \dfrac{7.65 }{0.85}\\\\& = & \mathbf{9.00}\\\end{array}\\\text{The original price of the ticket was $\large \boxed{\mathbf{\$9.00}}$}$

Check:

$\begin{array}{rcl}9.00 - 0.15(9.00) & = & 7.65\\9.00 - 1.35 & = & 7.65\\7.65 & = & 7.65\\\end{array}$

OK.

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