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3 years ago

Two parallel lines are cut by a transversal as shown below

Mathematics

1 answer:

labwork [276]3 years ago

4 0

Answer:

<2 and <4 = 74 degrees

Step-by-step explanation:

<7=<1, alt exterior angles

<1=<3, opposite angles

<1+<2= 180

since angle one is 106 just subtract 106 from 180 and you get 74= <2

<2 and <4 are opposite angles so they are congruent

therefore, <2 and <4 = 74 degrees.

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I’m struggling to answer this question on my test, can someone explain it to me?

Flauer [41]

Correct answer is Option A: 18/48 = 21/56

You’ll have to divide the numerator by the denominator of each fraction to see whether they have the same quotient:

18/48 = 0.375
21/56 = 0.375

The other options are not proportional.

B) 20/28 = 15/18:

20/28 = 0.714
15/18 = 0.833

Thus, 20/28 ≠ 15/18

C). 3/5 = 13/10
3/5 = 0.6
13/10 = 1.3

Hence, 3/5 ≠ 13/10

D) 7/10 = 10/7
7/10 = 0.7
10/7 = 1.43

Thus, 7/10 ≠ 10/7

These solutions prove that the correct answer is A) 18/48 = 21/56

Please mark my answers as the Briainliest if you find my explanations helpful :)

4 0

3 years ago

The value of x is? What is the value of x in this problem?

snow_lady [41]

Answer:

$x=96$ °

Step-by-step explanation:

For the upper left angle, we know that they are supplementary, so we can find the first angle of the triangle by

$180-130=50$

For the bottom right angle, we know that they are supplementary, so we can find that angle by

$180-134=46$

As a triangle has 180 degrees, we can subtract the values of the other two angles to find the final upper right angle.

$180-50-46=84$

Lastly, The upper right angle and x are supplementary so we can find x by subtracting the angle from 180

$180-84=x\\x=96$

5 0

3 years ago

Read 2 more answers

The figure below is a right rectangular prism with

svlad2 [7]

Answer:

The area of the base of the rectangular prism is:

18 square centimeters.

The height of the rectangular prism is:

6 centimeters.

The volume of the rectangular prism is:

108 cubic centimeters.

Step-by-step explanation:

To find the area of the base of the prism, you must remember that it corresponds to the rectangle formed by the points ABCD, with this in mind we apply the area formula that is equal to:

Area of a rectangle = base * height.

Since the rectangle formed by the mentioned points has a base of 9 cm and a height of 2 cm, these values are the ones we use in the formula:

Area of a rectangle = 9 cm * 2 cm
Area of a rectangle = 18 cm^2

Since the height requested by the second question is not from the rectangle at the base but from the entire prism, you should look at the height formed by the AW points, which as you can see is:

Prism height = 6 cm

Once we have these two data, it is very easy to calculate the volume since they are what we require in the volume formula:

Volume = area * height.
Volume = 18 cm^2 * 6 cm
Volume = 108 cm^3

6 0

3 years ago

If f(x) = and g(x) = 2x − 1, what is the value of (f · g)(8)? A. 2 B. 3 C. 1 D. E. 6

Elden [556K]

Answer:

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Step-by-step explanation:

8 0

3 years ago

Solve this: k/3 = -4

Veseljchak [2.6K]

Step-by-step explanation:

k/3= -4
k= -4×3
k= -12

<h2>stay safe healthy and happy.</h2>

6 0

2 years ago

Read 2 more answers