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Deffense [45]
3 years ago
12

Someone please help me.

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
3 0
<h3>Explanation:</h3>

1. PQ║TS, PQ ≅ TS, PT and QS are transversals to the parallel lines . . . given

2. ∠P ≅ ∠T . . . alternate interior angles at PT

3. ∠Q ≅ ∠S . . . alternate interior angles at QS

4. ΔPQR ≅ ΔTSR . . . ASA postulate

_____

You can use any pair of angles together with the sides PQ and TS. If you use the vertical angles and one of ∠T or ∠S, then you must invoke the AAS postulate for congruence, as the side is not between the two angles.

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Pleeeeese help me as fast as you can!!!
Aleonysh [2.5K]

Answer:

A. y=3x-10

C. y+6=3(x-15)

Step-by-step explanation:

Given:

The given line is 6x+18y=5

Express this in slope-intercept form y=mx+b, where m is the slope and b is the y-intercept.

6x+18y=5\\18y=-6x+5\\y=-\frac{6}{18}x+\frac{5}{18}\\y=-\frac{1}{3}x+\frac{5}{18}

Therefore, the slope of the line is m=-\frac{1}{3}.

Now, for perpendicular lines, the product of their slopes is equal to -1.

Let us find the slopes of each lines.

Option A:

y=3x-10

On comparing with the slope-intercept form, we get slope as  m_{A}=3.

Now, m\times m_{A}=-\frac{1}{3}\times 3=-1. So, option A is perpendicular to the given line.

Option B:

For lines of the form x=a, where, a is a constant, the slope is undefined. So, option B is incorrect.

Option C:

On comparing with the slope-point form, we get slope as  m_{C}=3.

Now, m\times m_{C}=-\frac{1}{3}\times 3=-1. So, option C is perpendicular to the given line.

Option D:

3x+9y=8\\9y=-3x+8\\y=-\frac{3}{9}x+\frac{8}{9}\\y=-\frac{1}{3}x+\frac{8}{9}

On comparing with the slope-intercept form, we get slope as  m_{D}=-\frac{1}{3}.

Now, m\times m_{D}=-\frac{1}{3}\times -\frac{1}{3}=\frac{1}{9}. So, option D is not perpendicular to the given line.

8 0
3 years ago
What is the volume?<br> 2 cm<br> 2 cm<br> 2 cm<br> cubic centimeters
Aliun [14]

Answer:

V = 8 cm³

Step-by-step explanation:

the volume (V) of a cube is calculated as

V = s³ ( s is the side length )

here s = 2 , then

V = 2³ = 8 cm³

3 0
2 years ago
Read 2 more answers
Jack shared 200 apples among 6 people then, jack gave 120 candy's among 6 people.what will be the answer for both of them IN ALL
UNO [17]

Answer:

Jack is very rich to have 200 apples and 120 candy's to give away so freely. That is if you are being logical and seeing this from different angles and thinking outside the box

7 0
3 years ago
How do I write, nine fewer than half a number is five more than four times a number?
luda_lava [24]
Your answer is 9-1/2x+5+4•x
8 0
3 years ago
Given the system of equations, what is the solution?<br><br> x + 3y = 5<br> x - 3y = -1
mr_godi [17]
\begin{cases}x+3y=5\\x-3y=-1 \end{cases}\\---------(+)\\\\x+x+3y-3y=5+(-1)\\\\2x=4\qquad|:2\\\\\boxed{x=2}\\\\\\\\x+3y=5\\\\2+3y=5\qquad|-2\\\\2+3y-2=5-2\\\\3y=3\qquad|:3\\\\\boxed{y=1}

The solution is (2; 1)
3 0
3 years ago
Read 2 more answers
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