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3 years ago

what are the smallest values of p and r that satisfy the definitions for parallel lines and perpendicular lines?

Mathematics

1 answer:

Feliz [49]3 years ago

4 0

Answer:

p = 2

r = 4

Step-by-step explanation:

If you're doing parallel it needs to be like "side by side." The least you can do is 2 because you'll need at least one other line to be beside the original.

Perpendicular lines are intersecting, so if you intersect them as a plus sign, you'll make at least four right angles.

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In a week 24 hens laid 96 eggs. What is the unit rate for eggs per hen?

Ugo [173]

There are 4 eggs per hen
What you have to do is
24 hens/ 96 eggs

5 0

3 years ago

what is 16/10 as a mixed number in simplest form. I don't get it?

Ivenika [448]

16/10 as a mixed number is 1 6/10.

I got this answer by finding out how many times 10 goes into 16, evenly. I got 1, and put that as a whole number. 6 was leftover, so I put that for the numerator. Then, I kept the denominator same, which was 10.

1 6/10 simplified is 1 3/5.

I got this answer by finding out what number goes both into 10 and 6, evenly. The GCF, or Greatest Common Factor, was 2. I divided 6 by 2 and 10 by 2. I then got 3 and 5.
3 was the numerator, and 5 is the denominator.

Again, 16/10 in simplest form is 1 3/5.

6 0

3 years ago

Read 2 more answers

At Silver Gym, membership is $35 per month, and personal training sessions are $30 each. At Fit Factor,

Vanyuwa [196]

Answer:

5 sessions each

Step-by-step explanation:

Let the personal training sessions be x.

Then at Silver Gym Sarah would spend:

35 + 30x

And at Fit Factor she would spend:

85 + 20x

Since total costs are same, the amounts will be equal:

35+30x = 85 + 20x
30x - 20x = 85 - 35
10 x = 50
x= 50/10
x= 5

So Sarah would buy 5 training sessions for each of the gyms.

And she would spend $185 at each.

3 0

2 years ago

△WPJ∼△DNJ What is PWPW ? Enter your answer in the box.

Kruka [31]

Use CPCTC and make ratios and proportionalities to find the value of segment PW:

If △WPJ∼△DNJ, then according to CPCTC, WP must be proportional to DN and PJ must be proportional to JN. Now, we can make a ratio:

$\frac{WP}{DN}= \frac{PJ}{NJ}$

Substitute the values that are given in the diagram.
DN=87.5
NJ=56
PJ=64

$\frac{WP}{87.5}= \frac{64}{56}$

Solve for x. You can do it by cross-multiplication.

$\frac{WP}{87.5}= \frac{64}{56} \\ 56*WP=64*87.5 \\ 56*WP=5600 \\ WP=100$

The measure of segment WP is 100 meters.

5 0

3 years ago

Asapppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!

svp [43]

Answer: x = 148 degrees

Step-by-step explanation:

This problem makes use of Supplementary Angles. Supplementary Angles states that two angles that make up a line add to 180. Thus, simply use the equation 32 + x = 180

x = 148

Hope it helps <3

5 0

3 years ago