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2 years ago

please explain to me how to solve this problem, i have my final test tomorrow and I need to know how to do it

Mathematics

1 answer:

RSB [31]2 years ago

4 0

Answers:

ST = x = 5
RT = y = 4
angle R = 88 degrees

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Explanation:

I'm assuming side PQ is parallel to side RT. If so, then triangle PQS is similar to triangle TRS.

From that, we can form the proportion below to solve for x.

PT/TS = QR/RS

15/x = 9/3

15*3 = x*9

45 = 9x

9x = 45

x = 45/9

x = 5

So ST is 5 units long.

The jump from ST = 5 to PT = 15 is "times 3". The same goes from RS = 3 to QR = 9.

We move in reverse to go from PQ = 12 to RT = y = 4, i.e. we divide by 3 to go from the larger triangle's lengths to the smaller triangle's lengths.

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Since PQ is parallel to RT, this means angles Q and R are congruent. They are corresponding angles. Angle Q is 88, and so is angle R.

Side note: Similar triangles have congruent corresponding angles.

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3 years ago

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3 years ago

If a and b are two angles in standard position in Quadrant I, find cos(a-b) for the given function values. sin a=3/5and cos b=12

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2 years ago

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2 years ago

Read 2 more answers

A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet. After 7 minutes it is at a height of 590

Jet001 [13]

Let's assume

height of plane in feet =h

time in minutes =t

we are given

A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet

so, we get one point as (5,6500)

After 7 minutes it is at a height of 5900 feet

so, we get another point as (7,5900)

we can use point slope form of line

$y-y_1=m(x-x_1)$

points as

(5,6500)

x1=5, y1=6500

(7,5900)

x2=7 , y2=5900

Calculation of slope(m):

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{5900-6500}{7-5}$

$m=-300$

Equation of line:

we can use formula

$y-y_1=m(x-x_1)$

we can plug values

$h-6500=-300(t-5)$

$h=-300t+8000$

Time of landing:

we can set h=0

and then we can solve for t

$h=-300t+8000=0$

$t=\frac{80}{3}min$ ..............Answer

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3 years ago

please explain to me how to solve this problem, i have my final test tomorrow and I need to know how to do it​

please explain to me how to solve this problem, i have my final test tomorrow and I need to know how to do it