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3 years ago

IN the diagram Below AB is parallel to CD what is the value of y ? picture is below

Mathematics

1 answer:

satela [25.4K]3 years ago

7 0

Similar to the other question, because AB is parallel to CD, you know the 72º angle corresponds to the angle on top of y.

Because that angle above y and y together make a straight line (and a straight line measures 180º), you have
72 + y = 180

Solving that for y, you get y = 108º

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One maid can clean the house four times faster than another. Working together they can clean the entire house in 4 hours. How lo

stich3 [128]

5 hours long would it take the faster maid cleaning alone.

What is a linear equation in math?

A linear equation only has one or two variables.
No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.

Suppose, time taken by faster maid be x , hours.

So, time taken by slower maid ,

$x_{2} = 4x_{1}$ ( 4 time faster maid )

Now, time taken by both of the made together is given by ,

$( \frac{x_{1}x_{2} }{x_{1} + x_{2} } )$

$\frac{x_{1}(4x_{1} ) }{x_{1} + 4x_{1} } = 4 hours$

$\frac{4x_{1} }{5} = 4 hours$

$x_{1} = 5 hours$ which is the time required by faster maid.

Learn more about linear equation

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8 0

2 years ago

VWX and NOP are similar. If mV=44 and mP=66, what is mW

Elena L [17]

It is given that the two figures are similar. This means that mV is equal to mN, mW is equal to mO, and mX is equal to mP. The sum of the angles of a triangle is equal to 180 degrees.

mV + mW + mX = 180

Substituting the known variables and the conditions given in the description of the similar triangles,

44 + mW + 66 = 180

The value of mW in the equation is 70 degrees.

3 0

3 years ago

22. Determine the value of c so that the line

tiny-mole [99]

Answer:

If the lines BC and DE are parallel, the value of c is c=-2

Step-by-step explanation:

We are given line segment BC with end points B(2, 2) and C(9,6) and line segment DE with endpoints D(c, -7) and E(5, -3).

Using slope formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$ we can find point c

When 2 lines are parallel there slope is same.

So, Slope of line BC =Slope of Line DE

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

We have:

$x_1=2, y_1=2, x_2=9, y_2=6 \ for \ line \ BC \ and \\\x_1=c, y_1=-7, x_2=5, y_2=-3 \ for \ line \ DE \$

Putting values and finding c

$\frac{6-2}{9-2}=\frac{-3-(-7)}{5-c}\\ \frac{4}{7}=\frac{-3+7}{5-c} \\ \frac{4}{7}=\frac{4}{5-c} \\Cross \ multiply:\\4(5-c)=4*7\\20-4c=28\\-4c=28-20\\-4c=8\\c=\frac{8}{-4}\\c=-2$

So, If the lines BC and DE are parallel, the value of c is c=-2

8 0

3 years ago

5. a : 4, for a = 32

Dmitrij [34]

Answer:

Step-by-step explanation:

put 4 in place for a

4=32

dive both sides by 4 and you will get 8

hope this helps

8 0

3 years ago

Consider the function: y=2x+5 What will be the value of the function when x=10?

Katarina [22]

Answer:

y=25

Step-by-step explanation:

10*2=20

20+5=25

5 0

3 years ago