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3 years ago

[HELP] Are the diagonals of an isosceles trapezoid congruent?

1 answer:

3 0

Yes.

the properties of an isosceles trapezoid are:
- the bases are parallel
- opposite sides are congruent
- the angles on either side of the bases are congruent
- the diagonals are congruent

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You randomly guess the answers to four true-false questions. Design a simulation that u can use to model the answers.

lana66690 [7]

You can flip a coin, heads can be true and tales can be false.

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3 years ago

1 ) Tim earns $12.50 an hour cleaning houses. If he works from 8:00am to 2:00pm,

AVprozaik [17]

Answer:

$75

Step-by-step explanation:

First, we will find how many hours he worked. 8:00-12:00 is 4 hours, and 12:00-2:00 is 2 hours, so he worked a total of 6 hours.

Next, we have to multiply the hours worked by his hourly wage.

12.50*6=75

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3 years ago

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What is 3.31 + 1 kilometer

MArishka [77]

Answer:

4.31 kilometer

..........................................

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3 years ago

I need help on the first and last one, there the fill in the blank ones

PtichkaEL [24]

Answer:

The sample space (S) that consists of all elements is:

S = {red, red, red, red, white, white, white, white, blue, blue, blue, blue}.

The number of ways (N) that the four letters F, A, I, R can be arranged is:

N = 4 x 3 x 2 x 1 = 24

Hope this helps!

4 0

3 years ago

Write the equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6)

Lady bird [3.3K]

Answer <u>(assuming it can be in slope-intercept form)</u>:

$y = -2x +10$

Step-by-step explanation:

1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula $y = mx + b$ . Isolate y:

$2x + y = 3\\y = -2x + 3$

The number in place of $m$ , or the coefficient of the x-term, represents the slope of the equation. So, the slope of the given equation is -2.

Lines that are parallel share the same slope. So, the slope of the new equation will be -2 as well.

2) Now, remember that the slope-intercept form is represented by the formula $y = mx + b$ . In order to write an equation of a line using that formula, we need to substitute values for $m$ and $b$ . We know $m$ is the slope, so we already know what that equals. Now, we just need to find $b$ .

To do that, substitute -2 for $m$ in the slope-intercept formula. Additionally, substitute the x and y values of the point (2,6) for the x and y in the formula as well. This sets up the equation so that we can isolate $b$ and find its values:

$y = mx +b\\6 = (-2)(2)+b\\6 = -4 + b\\10 = b$

So, $b$ = 10.

3) Substitute values for $b$ and $m$ into the slope-intercept formula to write the slope-intercept form of the line:

$y = -2x +10$

6 0

3 years ago