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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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Solve 3(x + 2) &gt; x.​
MaRussiya [10]

Answer:

x > - 3

Step-by-step explanation:

Given

3(x + 2) > x  ← distribute left side

3x + 6 > x ( subtract x from both sides )

2x + 6 > 0 ( subtract 6 from both sides )

2x > - 6 ( divide both sides by 2 )

x > - 3

3 0
3 years ago
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What’s three points that satisfy the system of inequality’s of 4x+6y&lt;24
Vlada [557]

Answer:

(0,0), (1,1), (2,2)

Step-by-step explanation:

When testing to find possible points in situations like this, I always start by testing with the origin point (0,0).

In this case:

4x+6y<24 ==> 0 + 0 < 24  TRUE, it satisfies the inequality.

We then try with (1,1):

4x+6y<24 ==> 4 + 6 < 24  TRUE, it satisfies the inequality.

And with (2,2):

4x+6y<24 ==> 8 + 12 < 24  TRUE, it satisfies the inequality.

8 0
3 years ago
Z varies directly with X squared and inversely with Y. When X equals two and Y equals four, Z equals three. What is the value of
gayaneshka [121]

Answer:

B

Step-by-step explanation:

Set up the equation

z = \frac{kx^2}{y}

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3 = k

Solve to find the value of z

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z = \frac{3(16)}{9}

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8 0
3 years ago
Five less than twice the value of a number is equal to three times the quantity of
MissTica

Answer:

These types of questions are not daunting if you break it down. First look at  "Five less than twice the value of a number."

"Twice the value of a number" is simply 2x.

"Five less" is simply -5, so for the first part we have (2x-5)

Next, analyze the second part. "Three times the quantity of four more than one half the number."

Looking at "Three times the quantity" simply means "3 times something".

"the quantity of four more than one half the number" is 4 + "one half the number" or 4 + (1/2)x.

So the second part is simply 3(4+x/2).

Finally we finish the entire equation, (2x-5) = 3(4+x/2) then solve for x.

2x-5 = 12 + (3/2)x

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6 0
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