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3 years ago

14

Prove the following theorem indirectly. We will give you a start.Prove that a triangle cannot have two right angles. A triangle

cannot have two right angles. Suppose a triangle had two right angles.

1 answer:

nordsb [41]3 years ago

4 0

A triangle can't have two right angles because there is 180° in a triangle. Each right angle is 90° so it would be impossible

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Claire purchases a new dress for the prom. The dress is priced $160, but it is on sale for 30% off. Claire’s aunt works at the s

djverab [1.8K]

Answer:

$Total = \$103.20$

Step-by-step explanation:

Given

$Amount =\$160$

$D_1 = 30\%$ --- first discount

$D_2 = 10\%$ --- second discount

$Sales\ Tax = 7.5\%$

Required

Determine the amount paid

First, we add the total discount:

$D = D_1 + D_2$

$D = 30\% + 10\%$

$D = 40\%$

If she got a discount of 40%, then she paid 60% (i.e. 100% - 40%)

So:

$Amount = 60\% * \$160$

$Amount = \$96$

Calculate the sales tax

$Sales\ Tax = 7.5\% * \$96$

$Sales\ Tax = \$7.2$

$Total = \$96 + \$7.2$

$Total = \$103.20$

3 0

3 years ago

List the sides in ΔEFG in order from smallest to largest. Picture includes possible solutions

Juli2301 [7.4K]

The answer for this question is A

8 0

4 years ago

Darina [25.2K]

Answer:

Part 1) The rate of change is $\frac{17}{15}$

Part 2) The initial value is 68

Part 3) The function rule to the linear model is $y=\frac{17}{15}x+68$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

step 1

Find the slope

take two points from the table

(0,68) and (15,85)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{85-68}{15-0}$

$m=\frac{17}{15}$

In a linear function , the slope is the same that the rate of change

therefore

The rate of change is $\frac{17}{15}$

step 2

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

Looking at the table

For x=0, y=68

therefore

The y-intercept is

$b=68$

The y-intercept is also called the initial value

therefore

The initial value is 68

step 3

Determine the function rule to the linear model

$y=mx+b$

we have

$m=\frac{17}{15}$

$b=68$

substitute

$y=\frac{17}{15}x+68$

8 0

3 years ago

the perimeter of a rectangle is 60 meters. if the length of the rectangle is 14 meters. what is the width of the rectangle.,

Ray Of Light [21]

Perimeter is 2width+2length
Therefore since you already know that the perimeter is 60 and the length is 14 you can set up the equation;
60= 2w+14
with this you then need to find w so;
60=2w+14
-14 -14
46=2w
(46/2)=(2w/2)
13=w
The width is 13

8 0

3 years ago

Read 2 more answers

For each diagram, describe a translation, rotation, or reflection that takes line ℓ to line ℓ′. Then plot and label A′ and B′, t

inn [45]

Answer:

translate down 3
reflect across the horizontal line through A

Step-by-step explanation:

1. There are many transformations that will map a line to a parallel line. Translation either horizontally or vertically will do it. Reflection across a line halfway between them will do it, as will rotation 180° about any point on that midline.

In the first attachment, we have elected to translate the line down 3 units.

__

2. Again, there are many transformations that could be used. Easiest is one that has point A as an invariant point, such as rotation CW or CCW about A, or reflection horizontally or vertically across a line through A.

Any center of rotation on a horizontal or vertical line through A can also be used for a rotation that maps one line to the other.

In the second attachment, we have elected to reflect the line across a horizontal line through A.

6 0

3 years ago