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3 years ago

Find m angle ABC Please help

Mathematics

1 answer:

Marina CMI [18]3 years ago

8 0

Answer:

ABC = 35

Step-by-step explanation:

x and 3x-70 are corresponding angle and corresponding angle are equal when the lines are parallel

x = 3x-70

Subtract 3x from each side

x-3x = 3x-70-3x

-2x= -70

Divide by -2

-2x/-2 = -70/-2

x = 35

x = 3x-70 = 35

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Suppose it takes 45 hours for robot A to construct a new robot. Working together with robot B, it takes 25 hours for both robots

Len [333]

Answer:

56 hours 25 minutes

Step-by-step explanation:

Given:

Suppose it takes 45 hours for robot A to construct a new robot

It takes 25 hours for both robots to construct a new robot.

Question asked:

How long would it take robot B to construct a new robot, working alone ?

Solution:

Let the time taken by robot B to construct new robot = $x$

By robot A

It takes 45 hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{45} \ new\ robot$

By robot B

It takes $x$ hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{x}$ new robot

By working together

It takes 25 hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{25} \ new\ robot$

$\frac{1}{25}$ new robot is constructed in = 1 hour

New robot is constructed by both working together in 1 hour = New robot is constructed by robot A in 1 hour + New robot is constructed by robot B in 1 hour

$\frac{1}{25} =\frac{1}{45} +\frac{1}{x} \\$

Subtracting both sides by $\frac{1}{45}$

$\frac{1}{25}-\frac{1}{45} =\frac{1}{45} -\frac{1}{45}+\frac{1}{x} \\\\\frac{1}{25}-\frac{1}{45} =\frac{1}{x}\\\\ Taking\ LCM \ of \ 25\ and\ 45,\ we\ got\ 225$

$\frac{9-5}{225} =\frac{1}{x} \\ \\ \frac{4}{225} =\frac{1}{x}\\\\ By\ cross \ multiplication\\4\times x=225\\Dividing\ both\ sides\ by\ 4\\x=56.25\ hours$

Thus, robot B would take 56 hours 25 minutes to construct a new robot, working alone.

4 0

3 years ago

Read 2 more answers

Segment AB has endpoints at −2 and 12. What is the coordinate of its midpoint?

charle [14.2K]

Hi there!

$\large\boxed{5}$

Find the midpoint using the midpoint formula:

m = (p1 + p2) / 2

m = (-2 + 12) / 2

m = 10 / 2

m = 5.

3 0

3 years ago

Ms.Omar runs the school tennis club. She has a bin of tennis balls and rackets. For every 5 tennis balls in the bin, there are 3

stepan [7]

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> number of tennis balls

y ----> number of tennis rackets

we know that

To find out the ratio of tennis balls to tennis rackets, divide the number of tennis ball by the number of tennis rackets

In this problem we have

$\frac{x}{y}=\frac{5}{3}$

$x=\frac{5}{3}y$

That means

The number of tennis balls is three-fifths times the number of tennis rackets

see the attached figure to better understand the problem

8 0

2 years ago

I will give brainliest

irina [24]

Answer:

Below

Step-by-step explanation:

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Sample: 250

5 0

2 years ago

Jacob has a rectangular garden with an area of 56 square feet.The length of the garden is 8 feet.What is the width if the garden

blagie [28]

Answer:

The width of the garden is 7 feet.

Step-by-step explanation:

If the area is 56 feet, and the length is 8 feet, we can put this into the area equation.

Area = width * length

A = wl

Substitute variables.

56 = 8w

Divide by 8.

7 = w, or w = 7.

The width of the garden is 7 feet.

5 0

3 years ago