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Virty [35]
3 years ago
13

I’m confused on this one

Mathematics
1 answer:
Mandarinka [93]3 years ago
3 0

Remark

If the lines are parallel then triangle RQS will be similar to triangle RTP


From that, all three lines in one triangle will bear the same ratio to all three lines of the second triangle.


Givens

PQ = 8

QR = 5

RS = 15

ST = x + 3


Ratio

QR/RP = RS/RT


Sub and solve

RP = 5 + 8

RP = 13


RT = 15 + x + 3

RT = 18 + x


5/13 = 15 / (18 + x) Cross multiply

5(18 + x) = 195 Remove the brackets on the left.

90 + 5x = 195 Subtract 90 from both sides.

5x = 105 Divide by 5

x = 105/5

x = 21 Answer <<<<<<<

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prohojiy [21]

Answer:

A1: 40/3 = 13.33

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5 0
3 years ago
Write the interval (5,100] as an inequality and using set notation
drek231 [11]

Answer: { x | 5 < x ≤ 100 }  OR  { x ∈ ℝ | 5 < x ≤ 100 }

Step-by-step explanation:

{ x | 5 < x ≤ 100 }

This means:

"The set of all x's, such that x is greater than 5 and less than or equal to 100"

Another acceptable way to write this is

{ x ∈ ℝ | 5 < x ≤ 100 }

"x ∈ ℝ" simply means x is an element of all real numbers

7 0
3 years ago
Lerato receive an increase of 5% on her current salary of R12500 per month. What will her new salary be after the increase
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5 0
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klio [65]
Small plane circles the airport the angle of depression would be 180
7 0
3 years ago
Original:45 new:30 percent of change
Sveta_85 [38]

<u>Answer:</u>

<h2>-33.33%</h2>

<u>Explanation:</u>

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