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DedPeter [7]
1 year ago
5

Given:m<6=m<8b l l cprove:a l l b

Mathematics
2 answers:
pochemuha1 year ago
6 0
The other person who answered should be right!
makvit [3.9K]1 year ago
5 0

1) From the data, we can see that

\angle6=\angle8

is given.

2) Next,

\angle6=\angle7

since they are alternate angles.

3) By substitution, these means that

\angle7=\angle8

4) Finally, a || b since

\angle7=\angle8

this is because, angle 7 and angle 8 are corresponding angles.

Corresponding angles are angles that are on the same corner at each intersection. For instance, 2 and 6

4 and 8, 1 and 5, 3 and 7

In our case, 7 and 8 are corresponding angles

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A wall with a height of 20 feet is braced with a support post that forms a 30 degree angle with the top of the wall. What is the
dexar [7]

The length of the support post is 40 ft.

<u>Solution:</u>

Given, the height of the wall is 20 ft; support post forms 30 degree

Refer the attached image

Let us name the triangle as ABC where AB is the wall (opposite side) of 20 ft and \angle A is 30 degree (\theta) and AC is the length of the post.

To find: The length of the post (AC)

we know the formula, sin\theta=\frac{opp}{hyp} (trigonometric formula)

On substituting the values we get,

\Rightarrow sin(30^{\circ})=\frac{20}{AC}

The value of sin 30 degree is 0.5

\Rightarrow 0.5=\frac{20}{AC}\rightarrow AC=\frac{20}{0.5}\rightarrow AC=40 ft

3 0
3 years ago
Lines C and D are represented by the equations given below: Line C: y = x + 6 Line D: y = 3x + 2 Which of these shows the soluti
Andre45 [30]

Solution: (2,8)

Using the elimination method set up the system of equations like:

y = x + 6

y = 3x + 2

Eliminate the x-variable by multiplying the top equation by -3

-3y = -3x -18

y = 3x + 2

Combine terms:

-2y = -16

-y = -8

y = 8

Plug in 8 to one of the first equations for y

8 = 3x + 2

6 = 3x

x = 2

Solution: (2,8)

7 0
3 years ago
A rectangular prism is 3 meters long, 4 meters wide, and has a total surface area of 94 square meters. What is its height?
inysia [295]
SA=2(LW+LH+WH)
SA=94
L=3
W=4
94=2(3*4+3H+4H)
divide both sides by 2
47=3*4+3H+4H
47=12+7H
minus 12 both sides
35=7H
divide oth sides by 7
5=H

5m
8 0
3 years ago
What is 75% as a fraction in simplest form
ludmilkaskok [199]
75% = 75/100÷ 5= 15/20 ÷5= ¾. does this help? hope it does
hope it helps :)
7 0
3 years ago
Can someone do this for me thanks ok bye
Dvinal [7]

Answer:

log2 10 = 3x

Step-by-step explanation:

Basic Logarithm Tenets

7 0
3 years ago
Read 2 more answers
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