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Finger [1]
3 years ago
12

Below are two paralelll lines with a third line intersecting them

Mathematics
1 answer:
alexira [117]3 years ago
7 0
X=50° because the angles are corresponding.
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When a number * is divided by 22, the quotient is 74 and the remainder is 0. What will be the quotient when * is divided by 11?
cricket20 [7]

Answer:

The quotient will be 2 this is the answer

4 0
3 years ago
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A survey was conducted to determine the popularity of three foods among students. The data collected from 75 students are summar
Andrews [41]

Answer:

20

Step-by-step explanation:

Total no = 75

N (P) = 48 , N (H) = 45 , N (T) = 58

N (P∩H) = 28 , N (H∩T) = 37 , N (P∩T) = 40

N (P∩H∩T) = 25

Total no = N (P) + N (H) + N (T) - N (P∩H)  -  N (H∩T) - N (P∩T) + N (P∩H∩T) + neither

75 = 48 + 45 + 58 - 28 - 37 - 40 + 25 + neither

75 = 71 + neither → neither = 4

N (only P) = N (P) - N (P∩H)  - N (P∩T)  + N (P∩H∩T) = 48 - 28 - 40 + 25 = 5

N (only H) = N (H) - N (P∩H) - N (H∩T) +  N (P∩H∩T) = 45 - 28 - 37 + 25 = 5

N (only T) = N (T) - N (H∩T) - N (P∩T) + N (P∩H∩T) = 58 - 37 - 40 + 25 = 6

So, total liking either one or neither = 4 + 5 + 5 + 6 = 20

4 0
3 years ago
What is the distance between the two points shown?
bonufazy [111]
The distance is (-4, 4)

Explanation: I moved down 4 cubes (negative) and moved right 4 cubes (positive).

I hope I am right :)
7 0
3 years ago
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Jasmine borrowed $15,000 for 8 years and she paid $6,600 in interest. What was the interest rate for Jasmine's loan?
weeeeeb [17]

Answer:

5.5%

Step-by-step explanation:

To find the interest rate, use the equation:  I = prt

I = Interest = $6,600

p = principal = $15,000

r = rate = unknown

t = time = 8 years


Now plug the numbers into the equation.

6,600 = 15,000 * r * 8

6,600 = 120,000 * r


Now isolate the variable by dividing both sides of the equation by 120,000.

0.055 = r


Now change the rate to a percent by moving the decimal point 2 digits to the right.

5.5% = r   OR   r = 5.5%

4 0
3 years ago
Use properties of equality to simplify each of the following expressions so that you can simplify them in your head. Identify th
Salsk061 [2.6K]
Properties of equality have nothing to do with it. The associative and commutative properties of multiplication are used (along with the distributive property and the fact of arithmetic: 9 = 10 - 1).

All of these problems make use of the strategy, "look at what you have before you start work."


1. = (4·5)·(-3) = 20·(-3) = -60 . . . . if you know factors of 60, you can do this any way you like. It is convenient to ignore the sign until the final result.

2. = (2.25·4)·23 = 9·23 = 23·10 -23 = 230 -23 = 207 . . . . multiplication by 4 can clear the fraction in 2 1/4, so we choose to do that first. Multiplication by 9 can be done with a subtraction that is often easier than using ×9 facts.

4. = (2·5)·12·(-1) = 10·12·(-1) = (-1)·120 = -120 . . . . multiplying by 10 is about the easiest, so it is convenient to identify the factors of 10 and use them first. Again, it is convenient to ignore the sign until the end.

5. = 0 . . . . when a factor is zero, the product is zero
4 0
3 years ago
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