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3 years ago

Find the value of x and y in the parallelogram below.

1 answer:

7 0

In a parallelogram, the opposite angles are equal and the sum of the angles is 360 degrees.

W = Z and Y = X
3y = 3x
Y = X = y
3y + y + 3x + x = 360
3x + x + 3x + x = 360
8x = 360
x = 360/8 = 45

Therefore, x = 45; y = 45

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The measure of 2WXZ is 100°.<br> What is the measure of ZYXZ?

Rom4ik [11]

Answer:

a) 69.99

b) .20%

Your welcom ,.hb

Step-by-step explanation:

4 0

3 years ago

In 4 minutes, a conveyor belt moves 800 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt

kkurt [141]

Answer:

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Step-by-step explanation:

Given - In 4 minutes, a conveyor belt moves 800 pounds of recyclable

aluminum from the delivery truck to a storage area. A smaller belt

moves the same quantity of cans the same distance in 6 minutes.

To find - If both belts are used, find how long it takes to move the cans

to the storage area.

Proof -

Given that,

Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Larger belt = 4 min/ shifting

Also,

Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Smaller belt = 6 min/ shifting

Now,

As we know that Time is inversely proportional to time, so

Rate of Larger Belt = $\frac{1}{4}$ shifting/min

Rate of Smaller Belt = $\frac{1}{6}$ shifting/min

Now,

Let us assume that , if both belts used then,

Total time taken = x min/shifting

Then, Rate = $\frac{1}{x}$ shifting/min

Now,

$\frac{1}{4}$ + $\frac{1}{6}$ = $\frac{1}{x}$

⇒ $\frac{6 + 4}{24} = \frac{1}{x}$

⇒ $\frac{10}{24} = \frac{1}{x}$

⇒10x = 24

⇒x = $\frac{24}{10}$ = 2.4 minutes

∴ we get

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

3 0

3 years ago

A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round you

IrinaVladis [17]

Answer:

1875.6 in³

Step-by-step explanation:

(⅓×3.14×8²×12) + (⅔×3.14×8³)

1875.626667 in³

5 0

3 years ago

Find the y intercept of -2,5 and 3,25

AlexFokin [52]

Answer:

Y-intercept = 13

Step-by-step explanation:

Since, given points are:

(-2,5) and (3,25)

Now, by slope intercept form:

y= mx + b

Here, m= slope and b= y-intercept

In order to find y-intercept, we must find slope firstly:

Since,

Slope= m= y2-y1 / x2-x1

m= 25 - 5 / 3 - (-2)

m= 20 / 5

m= 4

Put ‘m’ in slope intercept form:

y= 4x + b

Substitute either point into above equation:

25= 4(3) +b

25= 12 + b

25 - 12 = b

or b= 25 - 12

b= 13

Hence, y-intercept is 13.

6 0

3 years ago

Philip's family traveled 3/10 of the distance to his grandmother's house on saturday. They traveled 4/7 of the remaining distanc

Nataly [62]

Okay do 4*10 and 7*10 (you get 40/70) and then do 3*7 and 10*7 (so now you've got 21/70) then add 21/70+40/70 and that's the total distance

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3 years ago

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