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4 years ago

Use the Side-Splitter Theorem to find x, given that PQ||BC . The figure is not drawn to scale.

Mathematics

1 answer:

MrRa [10]4 years ago

8 0

Answer: x=12

Step-by-step explanation:

1. Accoding to the Side-Splitter Theorem, if a line interesect two sides of the triangle and it is parallel to the third side, then the other two sides are divided by the line proportionally.

2. Then, you can form the following proportion:

$\frac{PA}{BP}=\frac{QA}{CQ}$

3. Substitute values and solve for x:

$\frac{8}{x}=\frac{12}{18}\\18*8=12x\\x=12$

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Answer:

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4 years ago

Class A has 9 pupils and class B has 24 pupils.

hodyreva [135]

Answer:

mean ≈ 25.45

Step-by-step explanation:

mean is calculated as

mean = $\frac{sum}{count}$

We require the sum for both classes

class A

mean = $\frac{sum}{9}$ = 40 ( multiply both sides by 9 )

sum = 9 × 40 = 360

class B

mean = $\frac{sum}{24}$ = 20 ( multiply both sides by 24

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6 0

3 years ago

The PTA set up booths at the local bike race. The volunteers placed a race marker in the ground every five thousand yards. Every

Marina86 [1]

So I was always taught to list out the multiples.
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You can see more clearly that the first multiple they share is 40,000 yds
Hope that helps

3 0

3 years ago

You and three friends are eating pizza with 12 pieces. Each person eats the same number of pieces. Let x represent the number of

Marysya12 [62]

C. Because 4x = 12 because 4x3 is twelve

6 0

4 years ago

Nora worked in her yard for 2 hours.She mowed for 45 minutes, raked for 33 minutes, and weeded the garden for the rest of the ti

oksano4ka [1.4K]

Answer:

Step-by-step explanation:

Nora worked in her yard for 2 hours. She mowed for 45 minutes. We would convert the 45 minutes to hours.

60 minutes = 1 hour

45 minutes = 45/60 = 3/4 hours

She raked for 33 minutes. Converting 33 minutes to hours,

33 minutes = 33/60 = 11/20

She weeded the garden for the rest of the time.

Time spent on weeding the garden = total time spent in the garden - sum of the time spent on mowing and raking.

Time spent on weeding = 2 - (3/4+11/20) = 2 - 26/20

= 14/20 = 0.7 hours

The percentage of Nora's time working in her yard that was spent weeding the garden will become

0.7/2 × 100

= 35%

4 0

3 years ago