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4 years ago

Jennifer can run 12 miles in 2 hours, and she can bike 33 miles in 3 hours. What is Jennifer’s biking speed?

Mathematics

1 answer:

anastassius [24]4 years ago

3 0

Answer:

11 miles per hour

Step-by-step explanation:

The biking speed is found by taking the miles and dividing by the hours

33 miles/ 3 hours

11 miles per hour

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Find the angles of a parallelogram in which an exterior angle is one-third that its interior angle.

iogann1982 [59]

Answer:

The angles of a parallelogram are 135°-45°-135°-45°

Step-by-step explanation:

we know that

In a parallelogram opposites angles are congruent and consecutive angles are supplementary

Remember that

The sum of a exterior angle and its interior angle is equal to 180 degrees

Let

x ----> the measure of one interior angle of parallelogram

y ----> the measure of the other interior angle of parallelogram

we have that

$x+\frac{x}{3}=180^o$

solve for x

$\frac{4}{3}x=180^o\\\\x=(180^o)3/4\\\\x=135^o$

<em>Find the measure of the other interior angle of parallelogram</em>

Remember that consecutive interior angles are supplementary

$x+y=180^o$

substitute the value of x

$135^o+y=180^o$

solve for y

$y=45^o$

therefore

The angles of a parallelogram are 135°-45°-135°-45°

3 0

4 years ago

The sum of two numbers is six, and the difference is 10. Find the numbers.

pashok25 [27]

First no. = x
Second no. = y

Equation Formation
x + y = 6..........equation(i)
x - y = 10...........equation (ii)

x = 6 - y
6 - y - y = 10
6 - 2 y = 10
-2 y = 10 -6
-2 y = 4
y = -2

x = 6 + 2
x = 8

Answer = 8 , -2

3 0

3 years ago

Can someone help me on all of them I would appreciate it so much!

katovenus [111]

I hope this helps !!

3 0

2 years ago

What is the sequence for 6,12,18,24

scoundrel [369]

Answer:

an =6n

Step-by-step explanation:

6, 12, 18, 24

Take the 2nd number minus the first number, 3rd minus the second, etc

12-6 =6

18-12 = 6

24-18 =6

The common difference is 6

The formula for an arithmetic sequence is

an =a1+d(n-1)

where a1 is the first term

d is the common difference

n is the term number

an = 6+6(n-1)

Distributing

= 6+6n-6

= 6n

7 0

3 years ago

Find the distance between (3,7) and (6,5)

zubka84 [21]

Answer:

square root of five but if it needs to be simplified then 2.24 (rounded)

Step-by-step

8 0

3 years ago