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3 years ago

Below are two parallel lines with a third line intersecting them

Mathematics

2 answers:

ANEK [815]3 years ago

4 0

Answer:

x = 122°

Step-by-step explanation:

Two parallel lines with a third line intersecting them are called a transversal.

The two angles shown in the picture, x and 122° are alternate interior angles.

Alternate angles are a pair of angles that are on the inner side of each of the two lines but are on opposite sides of a transversal.

These are really similar to vertically opposite angles!

All alternate angles have the same value, thus x = 122°.

You can also see that alternate angles are like corresponding angles and vertically opposite angles combined!

olga_2 [115]3 years ago

3 0

Answer:

x = 122

Step-by-step explanation:

x = 122 because of alternate interior angles

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Two pieces of fabric

Bess [88]

Answer:

<h2> 487/8 inches </h2>

Step-by-step explanation:

$\left(\dfrac{143}{4}-\dfrac38\right)+\left(\dfrac{207}{8}-\dfrac38\right)=\dfrac{286}{8}-\dfrac38+\dfrac{204}{8}=\dfrac{283}{8}+\dfrac{204}{8}=\dfrac{487}{8}$

6 0

3 years ago

Use the distributive property to solve the following 4(4a+6b)

Alina [70]

$4(4a+6b) =16a+24b$

6 0

3 years ago

In a list of households, own homes and do not own homes. Four households are randomly selected from these households. Find the p

labwork [276]

Complete Question

In a list of 15 households, 9 own homes and 6 do not own homes. Four households

are randomly selected from these 15 households. Find the probability that the

number of households in the sample which own homes is exactly 3

Answer:

Step-by-step explanation:

From the question we are told that

The number of household is n = 15

The number of household that own homes is k = 9

The number of household that do not own homes is u = 6

The number of households randomly selected is q = 4

Generally the number of ways of selecting 3 household from the total number of 9 households that own homes is mathematically represented as

$A = ^{k} C_ 3$

Here C stands for combination hence we would be making use of the combination feature in our calculator

=> $A = ^{9} C_ 3$

=> $A =84$

Generally the number of ways of selecting 1 household from the total number of 6 households that do not own homes is mathematically represented as

$B = ^{u}C_1$

=> $B = ^{6}C_1$

=> $B = 6$

Generally the number of ways of selecting 4 household from the total number of 15 households on the list is mathematically represented as

$D = ^{n}C_4$

=> $D = ^{15}C_4$

=> $D = 1365$

Generally the probability that the number of households in the sample which own homes is exactly 3 is mathematically represented as

$P( X = 3) = \frac{A * B}{D}$

=> $P( X = 3) = \frac{85 * 6}{1365}$

X is here represent the number of household in the selected sample that own homes

=> $P( X = 3) = 0.3736$

7 0

3 years ago

Which of the following equations represents the graph shown?

melomori [17]

Answer: Last option.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

$y=mx+b$

Where m is the slope and b the intersection with the y-axis.

You can observe in the graph that the line passes through the origin, then:

$b=0$

Choose two points of the line and calculate the slope with:

$m=\frac{y_2-y_1}{x_2-x_1}$

Points: (2,3) and (-2,-3)

Substitute values, then the slope is:

$m=\frac{-3-3}{-2-2}=\frac{-6}{-4}=\frac{3}{2}$

Substituting "m" and "b" into $y=mx+b$ , you get that the equation is:

$y=\frac{3}{2}x$

This can be written as:

$f(x)=\frac{3}{2}x$

6 0

4 years ago

Read 2 more answers

Tasha believes that she can rewrite the difference of 120 minus 36 as a product of the GCF of the two numbers and the difference

xz_007 [3.2K]

Answer:

GCF = 12

For the values 36, 120:

Solution by Factorization:

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Then the greatest common factor is 12.

Pair Share:

The GCF of 120 and 36 is ======> 12

so, 120 – 36 can be written as:

12 × 10 – 12 × 3, which is 12 × (10 – 3) or 12 × 7.

Answer: ========> Therefore, Tasha is correct

Hope that helps!!!! : )

4 0

4 years ago

Below are two parallel lines with a third line intersecting￼ them

Below are two parallel lines with a third line intersecting them