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3 years ago

Thanks in advance if you help me!

Mathematics

1 answer:

8090 [49]3 years ago

4 0

D) Definition of Equilateral Triangle
e) Vertical Angles
f1) ΔTVS <span>≅ </span>ΔUVR
f2) Side Angle Side Postulate
g) Definition of Congruent Triangles

Hope that helps!

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If you rolled two dice, what is the probability

jekas [21]

Answer:

1/36.

Step-by-step explanation:

A total number of possible outcomes = 36.

To get a sum of 12 the possible outcomes are just 6,6.

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1 year ago

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Marty made a $220 bank deposit using $10 bills and $5 bills. She gave the teller a total of 38 bills, how many $5 bills were in

Luda [366]

ANSWER: 32 five-dollar bills

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EXPLANATION:

Let x be number of $5 bills

Let y be number of $10 bills

Since we have total of 38 bills, we must have the sum of x and y be 38

x + y = 38 (I)

Since the total amount deposited is $220, we must have the sum of 5x and 10y be 220 (x and y are just the "number of" their respective bills, so we multiply them by their value to get the total value):

5x + 10y = 220 (II)

System of equations:

$\left\{ \begin{aligned} x + y &= 38 && \text{(I)} \\ 5x + 10y &= 220 && \text{(II)} \end{aligned} \right.$

Divide both sides of equation (II) by 5 so our numbers become smaller

$\left\{ \begin{aligned} x + y &= 38 && \text{(I)} \\ x + 2y &= 44 && \text{(II)} \end{aligned} \right.$

Rearrange (I) to solve for y so that we can substitute into (II)

$\begin{aligned} x + y &= 38 && \text{(I)} \\ y &= 38 - x \end{aligned}$

Substituting this into equation (II) for the y:

$\begin{aligned} x + 2y &= 44 && \text{(II)} \\ x + 2(38 - x) &= 44\\ x + 76 - 2x &= 44 \\ -x &= -32 \\ x &= 32 \end{aligned}$

We have 32 five-dollar bills

======

If we want to finish off the question, use y = 38 - x to figure out number of $10 bills

$y = 38 - 32 = 6$

32 five-dollar bills and 6 ten-dollar bills

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3 years ago

(-2,3) is one vertex of a square on a coordinate plane. Name three points that could be the other vertices.

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Hope that helps :)

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2 years ago

Geometry - The steps to rotating a shape on a graph.

irinina [24]

(x,y)

Quartile 1/original coordinates (x,y)
Quartile 2 (-x,y)
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Quartile 4 (x,-y)

use this to move a shape on the graph

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3 years ago

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