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LenKa [72]
3 years ago
14

triangle RST is congruent to triangle NPQ, RT=7x-5, NQ= 5x+11, find the length of side RT and side NQ

Mathematics
2 answers:
Gelneren [198K]3 years ago
6 0

Answer: The length of side RT and side NQ is 51 units.

Step-by-step explanation:

Given : Δ RST ≅ Δ NPT

              RT=7x-5 , NQ= 5x+11

To find: RT =? and NQ=?

Solution:

Since, given triangles are congruent .And Congruent triangles have equal sides.

\Delta RST ≅ \Delta NPQ

So,

RT= NQ = 7x-5 = 5x+11

Solving for x we get ,x = 8

RT =7x-5 = 7 × (8) - 5 = 51 units

NQ = 5x+11 = 5 × (8) + 11 = 51 units

Nitella [24]3 years ago
5 0
7x + 5 = 5x + 11
2x + 5 = 11
2x = 6
x = 3

7(3) + 5
21 + 5 = 26
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A horizontal force of 480 n is applied to a stationary wooden box in one direction and a 600 n horizontal force is applied in th
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Answer:

Step-by-step explanation:

In a static position, the sum of the forces is always 0.

so:

F1 = 480 N

F2 = -600 N

F3 = ?

F1 + F2 + F3 = 0

480 - 600 + F3 = 0

F3 = 120 N (the answer is positive, so the force acts in the same direction as F1)

5 0
3 years ago
Which transformations to the graph of j(x) would result in the graph of j(4x) – 27?
Grace [21]

Answer:

Option D.

Step-by-step explanation:

It is given that, graph of j(x) transformed in the graph of j(4x) – 27.

We need to find the transformations.

Consider the new function is

f(x)=j(4x)-27          ... (1)

The translation is defined as

f(x)=j(kx+a)+b                ... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph stretched horizontally by factor of 1/k and if k>1, then the graph compressed horizontally by factor of 1/k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

k=4>1, the graph j(x) compressed horizontally by factor of 1/4.

a=0, so there is no horizontal shift.

b=-27<0, so the graph of j(x) shifts 27 units down.

So, the required transformations are horizontal compression by a factor of 1/4, and a translation 27 units down.

Therefore, the correct option is D.

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3 years ago
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