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Thepotemich [5.8K]
3 years ago
7

State the Postulate or Theorem

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Answer:

7. Corresponding Angles Theorem

8. Alternate Interior Angles Theorem

9. Alternate Exterior Angles Theorem

10. Supplementary Angles Theorem

Step-by-step explanation:

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A line that passes through th epoints (2,3) and (b,7) is parallel to the line y = -2x + 17. Find the value of b
mel-nik [20]

Answer:

b = 0

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - 2x + 17 is in this form with slope m = - 2

• Parallel lines have equal slopes, hence

slope of line through the 2 points is - 2

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (b, 7)

m = \frac{7-3}{b-2} = \frac{4}{b-2}, hence

\frac{4}{b-2} = - 2 ( cross- multiply )

- 2(b - 2) = 4

- 2b + 4 = 4 ( subtract 4 from both sides )

- 2b = 0 ⇒ b = 0



4 0
3 years ago
Ruben is collecting cans for the recycling contest at school. He makes two plans to try to collect the most cans.
vitfil [10]
30 cans each week. for 7 weeks
8 0
3 years ago
I need a lot of help with practice problems, I am not understanding math right now. Please help!!!!!! Will give brainliest!!
34kurt

Answer:

1. 18 (sqrt21 - sqrt2a)

2. 3

3. x^m/n

4. (5x^4√10)/(√2x)

5. x = -2 or -6

6. x = 30

Step-by-step explanation:

Number 1

3^3sqrt21 - 6^3sqrt2a

3 * 6 * sqrt21 - sqrt2a

18 (sqrt21 - sqrt2a)

Number 2

3^1/2 * 3^1/2 =

3^1/2+1/2 =

3^1 =

3

Number 3

^nsqrtx^m =

x^m/n

Number 4

(√250x^16)/(√2x) =

(√25 * 10 * x^16)/√(2x )=

(5x^4√10)/(√2x)

Number 5

√2x + 13 - 5 = x

√2x + 13 = x + 5

square both side to take away the sqrt sign

(√2x + 13)^2 = (x + 5)^2

expand the equation on the RHS

2x + 13 = x(x+5) + 5(x+5)

2x+13 = x^2 + 10x +25

substract 13 from both sides

2x = x^s + 10x +12

subtract 2x from both sides

0 = x^2 +8x + 12

Factorize equation

x^2 + 6x +2x + 12 = 0

x(x+6) + 2(x+6) = 0

(x+2)(x+6) = 0

x = -2 or -6

Number 6

3 ^5sqrt(x+2)^3 + 3 = 27

subtract 3 from both sides

3 ^5sqrt(x+2)^3  = 27 - 3

3 ^5sqrt(x+2)^3  = 24

divide through by 3

^5sqrt(x+2)^3  = 8

square both sides by 5 to take away the 5th root sign

(x+2)^3  = (8)^5

(x+2)^3  = 32,768

take the cube root of both sides to take away the ^3

x+2 = ^3sqrt 32,768

x+2 = 32

x = 32 - 2

x = 30

3 0
4 years ago
Read 2 more answers
Find the midpoint between each pair of points.<br> (-1,-5) and (-5,9)
Paul [167]

Answer:

work is pictured and shown

4 0
3 years ago
If (x-2) × B = x^2 + 11x -10, where b is a polynomial, what is the degree of B
Mamont248 [21]

Answer:

First

Step-by-step explanation:

Any multiplicand multiplied by x-2 must be of the first degree for the product to be of the second degree (such as x^2 + 11x - 10 is).


7 0
3 years ago
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