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Dahasolnce [82]
3 years ago
12

Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,

Mathematics
1 answer:
nlexa [21]3 years ago
4 0

$ PS = \frac{4}{3} x

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$PT = x, \ PQ = 3x,  \ SR=\frac{8}{3}x

TQ=PQ-PT

TQ=3x -x=2x

<u>Triangle proportionality theorem,</u>

<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>

$\frac{PS}{SR} =\frac{PT}{TQ}

$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}

Do cross multiplication, we get

$ PS \times 2x=x \times \frac{8}{3} x

Divide by 2x on both sides, we get

$ PS = \frac{4}{3} x

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Step-by-step explanation:

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PLEASE HELP ASAP which equation of a like has a slope of -2/3 and passes thought point (-3,-1)
coldgirl [10]

Answer:

Skill Tests

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My Scores:

Agility – Agility Square Test:

Speed – Stay on Your Toes Test:

Reaction Time – Ready, Set, Go Test:

Balance – Stork Stance Test:

Coordination – Off the Wall Test:

Power – Standing Long Jump Test:

Partner Scores:

Agility – Agility Square Test:

Speed – Stay on Your Toes Test:

Reaction Time – Ready, Set, Go Test:

Balance – Stork Stance Test:

Coordination – Off the Wall Test:

Power – Standing Long Jump Test:

Compare your scores to your partner’s scores. Explain the reason for any differences.

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8 0
3 years ago
Anna's toy car traveled 0.7 meters. Hector's toy car traveled 0.72 meters. Whose car traveled farther? Select from the drop-down
alexandr402 [8]

Answer:

When you do adding and subtracting with decimals just line up the decimal points and do the math regularly

0.72

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Hope this helps

Step-by-step explanation:

3 0
3 years ago
A town has a population of 2000 and grows at 4% every year what will be the population after 15 years to the nearest whole numbe
fomenos

To begin lets say year one the population is 2,000

assume this in percent we can say that 2,000=100%

at the end of this year the population will have grown by 4% meaning that

100%+4% will be the new population =104%

but we know that 100%=2,000 so what about 104%=X?

so (104*2000)/100=2,080

So year 1 the population will have grown by 80 people amounting to 2080 people.

Now do it manually year by year until we reach the 15th year. i will help you up to year 3

2nd year= (2080*104)/100=2163.2

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(If you have more complex questions reach me at essaywritingpool.com)


5 0
3 years ago
Question 8/Multiple Choice Worth 1 points)
Hunter-Best [27]

Answer:

k = 3

Step-by-step explanation:

Given

f(x) = 0.5x

g(x) = 0.5x - k

Required

Find k

<em>The question illustrates changing of positions of lines along the x and/or y axis;</em>

<em>But in this case; if graph f(x) is shifted down, then it represents a negative shift of points in the y axis.</em>

Given that f(x) = 0.5x

and f(x) is shifted down by 3 units to give g(x); then:

f(x) - 3 = g(x)

Substitute 0.5x for f(x)

0.5x - 3 = g(x)

Recall that g(x) = 0.5x - k ---------- (given)

0.5x - 3 = 0.5x - k

Subtract 0.5x from both sides

-0.5x + 0.5x - 3 = -0.5x + 0.5x - k

-3 = -k

Multiply both sides by -1

-3 * -1 = -k * -1

3 = k

k = 3

<em>Hence, the value of k is 3</em>

8 0
3 years ago
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