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Annette [7]
3 years ago
14

Two parallel lines are crossed by a traversal. What is the value of h?

Mathematics
1 answer:
maxonik [38]3 years ago
8 0

Answer:

h=60

Step-by-step explanation:

The angle that is 120 degrees and the angle that is h degrees are called same side interior angles

Same side interior angles are supplementary, meaning that they add to 180 degrees

To find h we can use Measures addition postulate to find the unknown value h

h+120=180

h=60

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1. Which equation is equivalent to the equation 6x + 9 = 12?
tresset_1 [31]

Answer:

B) 2x+3=4

Step-by-step explanation:

6x+9=12

6x=12-9

6x=3

x=3/6

x=1/2

---------------

Because 2x+3=4, 2x=4-3, 2x=1, x=1/2.

5 0
3 years ago
7. Simplify this what’s the answer?
trasher [3.6K]

first the square root of 4 is 2 so we can sub that in.

now we have 2(2*2)^-2.

2 * 2 of course is 4

with 2(4)^-2, keep in mind that negative exponents just mean to "flip" the number and turn the exponents positive.

so 4^-2 is the same as 1/4^2 or 1/16.

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3 0
3 years ago
I need help with 11 and 12
Yakvenalex [24]

Answer:

Both are inverse pairs  

Step-by-step explanation:

Question 11

g(x)= 4 + \dfrac{8}{5}x

(a) Rename g(x) as y  

y = 4 + \dfrac{8}{5}x

(b) Solve for x :  

\dfrac{8}{5}x = y - 4

(c) Multiply each side by ⅝

x = \dfrac{5}{8}(y - 4) = \dfrac{5}{8}y - \dfrac{5}{2}

(d) Switch x and y  

y = \dfrac{5}{8}x - \dfrac{5}{2}

(e) Rename y as the inverse function  

g^{-1}(x) = \dfrac{5}{8}x - \dfrac{5}{2}

(f) Compare with your function

f(x) = \dfrac{5}{8}x - \dfrac{5}{2}\\\\f(x) = g^{-1}(x)

f(x) and g(x) are inverse functions.

The graphs of inverse functions are reflections of each other across the line y = x.

In the first diagram, the graph of ƒ(x) (blue) is the reflection of g(x) (red) about the line y = x (black)

 

Question 12

h(x)= x - 2

(a) Rename h(x) as y  

y = x - 2

(b) Solve for x:  

x = y + 2

(c) Switch x and y  

y  = x + 2

(e) Rename y as the inverse function  

h⁻¹(x) = x + 2

(f) Compare with your function

f(x) = x + 2

f(x) = h⁻¹(x)

h(x) and ƒ(x) are inverse functions.

The graph of h(x) (blue) reflects ƒ(x) (red) across the line y = x (black).

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