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Sedbober [7]
2 years ago
14

Which postulate proves these two

Mathematics
1 answer:
Mama L [17]2 years ago
3 0
HL (hypotenuse leg)
Hope this helps
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The lines represented by the equations 12y – 8x = -72 and y = 2/3 x – 3
klasskru [66]

Answer:

They are parallel

Step-by-step explanation:

Same slope but different y-intercept

5 0
2 years ago
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One month Reuben rented movies and video games for a total of . The next month he rented movies and video games for a total of .
Vesnalui [34]

Can you say the total cost? There's not enough to go by to answer this.

4 0
3 years ago
Maria weighs 55 kilograms. What is her weight in pounds?
ICE Princess25 [194]

Answer:

124.254 pounds.

Step-by-step explanation:

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2 years ago
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The profit function p(x) of a tour operator is modeled by p(x) = −2x^2 + 700x − 10000, where x is the average number of tours he
pav-90 [236]

Answer:

Range of the average number of tours is between 150 and 200 including 150 and 200.

Step-by-step explanation:

Given:

The profit function is modeled as:

p(x)=-2x^2+700x-10000

The profit is at least $50,000.

So, as per question:

p(x)\geq50000\\-2x^2 + 700x-10000\geq 50000\\-2x^2+700x-10000-50000\geq 0\\-2x^2+700x-60000\geq 0\\\\\textrm{Dividing by 2 on both sides, we get}\\\\-x^2+350x-30000\geq 0

Now, rewriting the above inequality in terms of its factors, we get:

-1(x-150)(x-200)\geq 0\\(x-150)(x-200)\leq 0

Now,

x0\\x>200,(x-150)(x-200)>0\\For\ 150\leq x\leq200,(x-150)(x-200)\leq 0\\\therefore x=[150,200]

Therefore, the range of the average number of tours he must arrange per day to earn a monthly profit of at least $50,000 is between 150 and 200 including 150 and 200.

7 0
3 years ago
Stephanie wants to make 22.5 qt. of a 20%
aivan3 [116]

Answer:

y = 10.5qt

x = 12 qt

Step-by-step explanation:

0.6x+ 0.36y = 22.5 * 0.2

0.06x + 0.36y = 4.5

x + y = 22.5

x = 22.5 - y

0.06(22.5 - y) + 0.36y = 4.5

1.35 - 0.06y + 0.36y = 4.5

0.3y = 4.5 - 1.35

0.3y = 3.15

y = 3.15 / 0.3

y = 10.5 qt

x = 22.5 - y

x = 22.5 - 10.5

x = 12 qt

3 0
2 years ago
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