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3 years ago

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The ratio of the measures of the sides of a triangle is 7:9:12, and it's perimeter is 84 inches. Find the measures of each side

of the triangle.

1 answer:

Ede4ka [16]3 years ago

6 0

Answer:

Step-by-step explanation:

The lengths of the sides are 7x, 9x, and 12x.

7x + 9x + 12x = 84

28x = 84

x = 3 in

Sides: 21 in, 27 in, 36 in

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What must be true for lines a and b to be parallel lines? Check all that apply.

Dima020 [189]

Answer:

Option (1), (2) , (7) and (8) is correct.

Step-by-step explanation:

Given: a║b and d and c be transversal , We have to find the value of x and measure of angle 1 and 2.

Since, a║b and d be a transversal then ,

∠BXZ = ∠AZP = 58° ( corresponding angles )

Thus, m∠2 = 58°

∠BYC = ∠XYZ = (4X-10)° (vertically opposite angles)

Since, a║b and c be a transversal then,

∠XYZ = ∠QZU = (4X-10)° (Corresponding angles)

Thus, m∠1 = (4X-10)°

Also, Since, 'a' is a straight line.

Sum of angles on a straight line is 180°.

⇒ ∠PZA + ∠PZQ + ∠QZU = 180°

⇒ 58° +(3X-1)°+(4X-10)° = 180°

⇒ 58° + 7x - 11 = 180°

⇒ 47° + 7x = 180°

⇒ 7x = 180°- 47°

⇒ 7x = 133°

⇒ x = 19°

Put x = 19 in (3X-1)° and (4X-10)° , we get

(3X-1)° = (3(19)-1)° = 56°

(4X-10)° = (4(19)-10)°= 66

Thus, (3X-1)° ≠ (4X-10)°

Thus, option (1), (2) , (7) and (8) is correct.

5 0

3 years ago

Read 2 more answers

Evaluate the expression when y=-3<br><img src="https://tex.z-dn.net/?f=y%20%7B%7D%5E%7B2%7D%20%20%2B%205y%20-%204" id="TexFormul

Zielflug [23.3K]

(-3)^2+5(-3)-4

9-15-4

=-10

3 0

4 years ago

The credit remaining on a phone card (in dollors) is a linear function of the total calling trime made with the card ( in minute

KATRIN_1 [288]

After 85 minutes of calls, there are $27.25 left on the card.

<h3>What is the remaining credit after 85 minutes of calls?</h3>

A linear equation in slope-intercept form is:

y = a*x + b

Where a is the slope.

If the line passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

$a = \frac{y_2 - y_1}{x_2 - x_1}$

In this case, we know that the line passes through the points (22, 36.7) and (52, 32,20)

(points of the form (time, dollars)).

So the slope is:

$a = \frac{32.2 - 36.7}{52 -22} = -0.15$

The linear equation is then:

y = -0.15*x + b

To find the value of b, we use the point (22. 36.7)

36.7 = -0.15*22 + b

36.7 + 0.15*22 = b = 40

Then the linear equation is:

y = -0.15*x +40

The amount remaining in the credit card after 85 minutes is given by evaluating the above equation in x = 85.

y = -0.15*85 + 40 = 27.25

This means that after 85 minutes of calls, there are $27.25 left on the card.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

7 0

2 years ago

a company rents out 18 food booths at the county fair. The fee for a food booth is $175 plus $7 per day. The fee for a game boot

aliya0001 [1]

Answer:

18 food booths initial costs are $(3,150 + 7d)

Step-by-step explanation:

8 0

3 years ago

Mr.chan made 252 cookies for the annual fifth grade class bake sale . they sold 3/4 of them and 3/9 of the remaining cookies wer

Eva8 [605]

So, personally I would take 252 and divide it by 4. this will give you 63 which is 1/4 of the cookies. Then add that 63 three times to get a total of 189 cookies which would be your 3/4 sold. so since there is only 63 cookies left then you would go into your final problem. 3/9 is equal to 1/3, so all you would do is divide 63 by 3 and get a total of 21 cookies given to the pta.

5 0

3 years ago