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Anastasy [175]
3 years ago
14

Given the following: What is the value of x? What is the value of y? What is the m∠A? Show all work.

Mathematics
2 answers:
kondaur [170]3 years ago
3 0

Answer:

angle A=angle C

angle B =angle D

to find x

x + 45 = 3x - 85 \\ x - 3x =  - 85 - 45 \\  - 2x =  - 130 \\ x = 75

to find y

x + 45 + 3x - 85 + y + y = 360 \\ 4x  + 40 + 2y = 360 \\ 4(75) + 2y = 360  - 40\\ 300 + 2y = 320 \\ 2y = 20 \\ y = 10

jarptica [38.1K]3 years ago
3 0

Answer:

answer is d, good luck

Step-by-step explanation:

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Stella [2.4K]

Answer:

2

Step-by-step explanation:

1 + 1 = 2

thank you

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Archie is putting 24 books on 2 shelves. Each shelf holds 16 books.
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7 0
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the length of a rectangle piece of paper is 20 cm and the breadth is 10 cm. if this paper has to be separated into square shaped
luda_lava [24]
The best way ( meaning, the way that results squares with the biggest areas ) is to cut it in 2 squares with the lenght of 10cm. Then, the area is 10*10 cm = 100 cm^2

Why cut it like this? We find the highest number that divides both 20 and 10, in this case it's 10. Then, we can cut squares with the lenght of 10 cm. But we have a rectangle with the area of 20*10=200 cm^2 , and we cut squares of 10*10=100cm^2. 200/100=2. So we cut 2 squares Also, you could say that it's because the simmetry line cuts the rectangle in 2 other simetrical rectangles, which in this case, happen to be squares.
5 0
4 years ago
To find the roots of the function, set y = 0. The equation is 0 = 4x2 + 2x – 30.
Assoli18 [71]

Answer:

x = - 3, x = \frac{5}{2}

Step-by-step explanation:

Given

4x² + 2x - 30 = 0 ( divide through by 2 )

2x² + x - 15 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 15 = - 30 and sum = + 1

The factors are + 6 and - 5

Use these factors to split the x- term

2x² + 6x - 5x - 15 = 0 ( factor the first/second and third/fourth terms )

2x(x + 3) - 5(x + 3) = 0 ← factor out (x + 3) from each term

(x + 3)(2x - 5) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = \frac{5}{2}

4 0
4 years ago
6. Write an algebraic expression.<br> The quotient of 34 and the product of a<br> number and -9
N76 [4]

Answer:

34÷x-9

Step-by-step explanation:

34 divided by a number(x) times -9

3 0
3 years ago
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