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spin [16.1K]
3 years ago
12

PLEASE help find measure of angle - TEst review today

Mathematics
1 answer:
expeople1 [14]3 years ago
8 0

Answer:

alternate exterior angles and lines are parallel so

10x is congruent to 11x-8

second question

alternate interior angles and lines are paralles so angles are congruent

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Seven times a sum of a number and 1 is 63
kompoz [17]
7(x+1)=63
7 times a number(x) +1 
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3 years ago
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Elena went on a 6-mile walk. She completed the first half of the walk 1 mi/h faster than usual and the second half of the walk 2
xxTIMURxx [149]

Answer:

Her usual rate is 0.8333 miles per hour.

Step-by-step explanation:

The velocity formula is given by:

v = \frac{d}{t}

In which d is the distance and t is the time.

She completed the first half of the walk 1 mi/h faster than usual

Her usual rate is v. 1mph faster is v + 1.

The second half of the walk 2 mi/h slower than the first half.

The first half is v + 1.

2mph slower is v + 1 - 2 = v - 1. Then

Total rate:

7.2 hours, and 6 miles. So

One half is v+1 and the other is v - 1. This is why each is multiplied by 0.5.

0.5(v + 1) + 0.5(v - 1) = \frac{6}{7.2}

0.5v + 0.5 + 0.5v - 0.5 = 0.8333

v = 0.8333

Her usual rate is 0.8333 miles per hour.

8 0
3 years ago
The area A, in square meters, of a rectangle with a perimeter of 60 meters is given by the equation A = 30w − w2, where w is the
Delvig [45]

Answer:

Step-by-step explanation:

The area is given in two ways:  1) as a formula:  A = 30w - w^2, and 2) as a specific numerical value:  A = 200 m^2.

Equating these, we get:

A = 200 m^2 = A = 30w - w^2

Rewriting this equation in the standard form of a quadratic function:

-30w + w^2 + 200 m^2 = 0

or  w^2 - 30w + 200 = 0, which in factored form is (w - 10)(w - 20) = 0.

Then w = 10 and w = 20.

The perimeter of the rectangle is P = 60 m, and this equals 2w + 2l.  Therefore, 30 m = w + l, or l = 30 - w.  

We have already found that w could be either 10 or 20.

If w = 10, then l = 30 - 10 = 20, and the perimeter would thus be:

P = 2(10) + 2(20) = 20 + 40 = 60.

This satisfies the constraints on w.

The width of the rectangle is 10 meters.  The length is 20 meters.

5 0
4 years ago
Find the equation of the linear function represented by the table below in slope-intercept form.
Sedaia [141]

Answer:

y=-4x-5

Step-by-step explanation:

The slope of the line is - 4, the equation of line is y=-4x-5

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3 years ago
Convert each of the following into fraction<br>(a)<br>32%<br>​
Zinaida [17]

Answer:

8/25

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So 32% is essentially 32/100 now we can divide that even more so now we have 16/50(we divided it in half) but we can divide that again, so now we have 8/25 :)

7 0
3 years ago
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