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Angle APR is vertical with Angle SPL. If Angle APR = 13x - 30, and Angle SPL = 3x + 70, what is the value of x?

Luba_88 [7]

Answer:

The value of $x$ is 10.

Step-by-step explanation:

If APR and SPL are vertical angles, then we get that $\angle APR = \angle SPL$ . Given that $\angle APR = 13\cdot x -30$ and $\angle SPL = 3\cdot x + 70$ , we find that the value of $x$ is:

$13\cdot x - 30 = 3\cdot x +70$

$10\cdot x = 100$

$x = 10$

The value of $x$ is 10.

6 0

3 years ago

Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2 3 of the way there.

DochEvi [55]

Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2/3 of the way there. How many more hours does Liza have to drive?

Answer:

Liza need to drive 2 more hours to reach her sister house

Solution:

Given that Liza is driving to her sister's house 360 miles away

So total distance = 360 miles

After 4 hours, Liza is 2/3 of the way there.

$\frac{2}{3} r d \text { of total distance }=\frac{2}{3} \times 360=240$

So Liza has covered 240 miles in 4 hours

Let us find the speed

The relation between distance and speed is given as:

$speed = \frac{distance}{time}$

$speed = \frac{240}{4} = 60$

Thus speed = 60 miles per hour

Assuming speed is same throughout the journey, let us calculate the time taken to complete remaining distance

Remaining distance = 360 - 240 = 120 miles

Now distance = 120 miles and speed = 60 miles per hour

$time taken = \frac{distance}{speed}\\\\time taken = \frac{120}{60} = 2$

Thus Liza need to drive 2 more hours to reach her sister house

4 0

3 years ago

Michael borrows money from his uncle, who is charging him simple interest using the formula I = PRT. To figure out what the inte

katen-ka-za [31]

Answer:

c

Step-by-step explanation:

formula l=PRT

bring PT to right side we get

l/PT = R

or

R=l/PT

4 0

3 years ago

What are skew lines and parallel lines

Leni [432]

Two or more lines are parallel when they lie in the same plane and never intersect. The symbol for parallel is ||. To mark lines parallel, draw arrows (>) on each parallel line. If there are more than one pair of parallel lines, use two arrows (>>) for the second pair. The two lines below would be labeled AB←→ || MN←→− or l || m.

For a line and a point not on the line, there is exactly one line parallel to this line through the point. There are infinitely many lines that pass through A, but only one is parallel to l.

6 0

3 years ago

Read 2 more answers

What do the difference between the adjacent angle and opposite angle

PtichkaEL [24]

Answer:

The difference between the adjacent angle and the opposite angle is that for the adjacent side is the side next to the reference angle, and for the opposite side is the side directly across from the reference angle.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

7 0

3 years ago