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3 years ago

Parallel Lines cut by a transversal

Mathematics

1 answer:

Tresset [83]3 years ago

7 0

Answer:

-4

Step-by-step explanation:

1. They are alternate exteriors meaning they are supposed to be the same so you sort the equation like 134+x=130

2. Then you pass 134 both side like ×=130

-134

3. Which will equal :-4

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The ratio of angle measures is 1:2:2. Classify the triangle by its angle measures. a.acute triangle b.right triangle c. obtuse t

HACTEHA [7]

Angles in a triangle must add up to 180°, so you could use this information to find the values of the angles. 1 + 2 + 2 = 5, 180 ÷ 5 = 36. 36 × 2 = 72, so 36 + 72 + 72 = 180. This means that the answer is A. acute, because all of the angles are below 90°. I hope this helps!

5 0

4 years ago

A company's revenue function and cost function are as follows: R(x) = 0.55x and C(x) = 10 + 0.05x. What is the minimum number of

Oduvanchick [21]

Answer:

Minimum number of units sold to make profit is equal to 20

Step-by-step explanation:

Revenue earned by the company as a function of number of units sold as x:

R(x) = 0.55x

Cost for selling units as a function of number of units sold as x:

C(x) = 10 + 0.05x

<em>Net profit earned by the company = (Revenue earned by the company) - (Cost of selling units)</em>

P(x) = (0.55x) - (10 + 0.05x)

P(x) = 0.55x - 10 - 0.05x

P(x) = 0.5x - 10

To earn profit the following condition should satisfy: P(x) ≥ 0

0.5x - 10 ≥ 0

0.5x ≥ 10

x ≥ $\frac{10}{0.5}$

x ≥ 20

4 0

3 years ago

A rectangle has the following vertices. Find the area of the rectangle. (9, −1), (−1, 7), (−5, 2), (5, −6)

stiks02 [169]

Answer: 82 sq. units .

Step-by-step explanation:

Let A (9, −1), B (−1, 7), C(−5, 2), D(5, −6) are the vertices of rectangle.

Then we plot them on graph ( as provided in attachment)

Length = AB $=\sqrt{(9+1)^2+(-1-7)^2}$ units [By distance formula : $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ ]

$=\sqrt{(10)^2+(-8)^2}=\sqrt{100+64}=\sqrt{164}=2\sqrt{41}$ units

Width = BC = $\sqrt{(-1+5)^2+(7-2)^2}$ units

$=\sqrt{4^2+5^2}\\\\=\sqrt{16+25}\\\\=\sqrt{41}$

Area = length x width

= $2\sqrt{41}\times\sqrt{41}=2\times41= 82\text{ sq. units}$

Hence, the area of the rectangle is 82 sq. units .

7 0

3 years ago

A contractor is building a circular swimming pool. The radius of the circle 12 feet. He needs to know the circumference in order

dolphi86 [110]

C=Pi X D
Diameter is twice the radius so that would be 24 feet

C = Pi X 24
C = (22/7) X 24
C = 75.428 Feet.

6 0

3 years ago

Read 2 more answers

In a recent year, 22 percent of email users said they spend less time using email because of spam. what fraction of email users

Alchen [17]

Remember, percent is always out of 100. If you have 22%, you have 22 people per every 100 people, or, 22/100.

22/100 is the incomplete answer because it needs to be simplified. If you divide both numbers by two you get 11/50 which is the lowest fraction you can have because 11 is a prime number.

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3 years ago