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3 years ago

Find measure angle 1

Mathematics

1 answer:

STatiana [176]3 years ago

5 0

Answer:

60°

Step-by-step explanation:

Opposite interior angles are equal.

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A tap can fill a bucket in 6 hours. After half the bucket is filled, three more similar taps are opened. What is the total time

777dan777 [17]

The total time taken to fill the bucket completely is 3 hours 45 minutes

The time taken to fill the bucket by one tap= 6 hours

Then the time take by one tap to fill half of the bucket= 3 hours

Part filled by one tap in one hour = $\frac{1}{6}$

Part filled by four taps in one hour = $4(\frac{1}{6})=\frac{4}{6}=\frac{2}{3}$

Given, that after half the bucket is filled, three more similar taps are opened

Then the remaining part = $1-\frac{1}{2}=\frac{1}{2}$

Time taken to fill the half of the bucket= $(\frac{1}{2} )(\frac{2}{3})=\frac{3}{4}$ hours

Convert the hours to minutes

$(\frac{3}{4})60=45$ minutes

Therefore,

Total time taken to fill the bucket= The time taken by one tap to fill half of the bucket+ Time taken by 4 taps to fill the half of the bucket

=3 hours+ 45 minutes

=3 hours 45 minutes

Hence, The total time taken to fill the bucket completely is 3 hours 45 minutes

Learn more about time here

brainly.com/question/28050940

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8 0

2 years ago

Triangles EFG and QRS are similar. The lengths of the sides of EFG are 72, 64, and 56. The length of the smallest side of QRS is

blsea [12.9K]

Answer:

$180\ units$

Step-by-step explanation:

we know that

If triangles EFG and QRS are similar

then

the scale factor is equal to the measure of the smallest side of triangle QRS divided by the smallest side of triangle EFG

Let

x-------> the smallest side of triangle QRS

y-------> the smallest side of triangle EFG

z-------> the scale factor

we have

$x=140\ units, y=56\ units$

substitute the values

$z=\frac{140}{56}$

$z=2.5$

Find the length of the longest side of QRS

The length of the longest side of QRS is equal to multiply the scale factor by the length of the longest side of EFG

$2.5*72=180\ units$

7 0

3 years ago

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|x − 5| − |2 − x| + |x + 1| , if x ≥ 5

son4ous [18]

Answer:

9990% 222$

Step-by-step explanation:

if you work it will help u head

6 0

3 years ago

BROOO HELP what is the slope of the line through (-3,3) and (-1,-1)?

lesya [120]

Answer:

Step-by-step explanation:

To find the slope between any two points, we can use the slope formula:

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

Where (x₁, y₁) and (x₂, y₂) are two, separate points.

We have the two points (-3, 3) and (-1, -1).

So, let (-3, 3) be (x₁, y₁) and let (-1, -1) be (x₂, y₂).

Substitute them into the slope formula to get:

$m=\frac{-1-3}{-1-(-3)}$

Subtract:

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

Hence, our slope is -2.

So, our answer is C.

6 0

3 years ago

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A point is randomly chosen in the diagram shown below.

Alex73 [517]

D it is unlikely hope it helps

5 0

3 years ago

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