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vesna_86 [32]
3 years ago
11

Question is in image In the diagram below, ST is parallel to PR

Mathematics
1 answer:
likoan [24]3 years ago
5 0

Answer:

  D.

Step-by-step explanation:

There is nothing in the figure to indicate the triangles are isosceles. This eliminates answer choices A, B, C.

Answer choice D is a required step in the proof, but only gets part of the way. The triangle similarity means ...

  SQ/PQ = TQ/RQ

From here, you need to decompose each of the sides PQ and RQ into parts. Then you can get to the desired relationship.

  (PQ -PS)/PQ = (RQ -RT)/RQ . . . segment sum theorem

  1 - PS/PQ = 1 -RT/RQ . . . . . . . do the division

  -PS/PQ = -RT/RQ . . . . . . . . subtract 1 (subtraction property of equality)

  PS/PQ = RT/RQ . . . . . . . . multiply by -1 (multiplication property of equality)

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Is the following expression true or false? Show your work.
Paul [167]

Answer: True

Solution:

Rearrange the equation to the LHS:

[x^2 + 8x + 16] · [x^2 – 8x + 16] - (x^2 – 16)^2 = 0

Factoring  x^2+8x+16

x^2 - 4x - 4x - 16

= (x-4)  •  (x-4)

= = (x+4)2

So now we have an equation

(x + 4)^2 • (x - 4)^2 -  (x^2 - 16)^2  = 0

Step 2: Evaluate the following:

(x+4)2   =    x^2+8x+16

(x-4)2   =    x^2-8x+16  

(x^2-16)2   =    x^4-32x^2+256

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0 = 0

Hence True

3 0
3 years ago
Choose values for n and graph. f(n) = n to the second power + (-2)
Rus_ich [418]
No clue what the answer is I am not that good I am blonde
now goodbye
5 0
3 years ago
What is the equation of the line of the best fit for the following data? Round to the slope and y-intercept of the line to three
BigorU [14]

Answer:

D. y=-0.927x+13.634

Step-by-step explanation:

We graph the points on the graph. The graph is attached.

Let us take two points (1, 14) and (15, 1), and calculate the slope mbetween them <em>(we choose these points because the line passing through them will be the best fit for all points) </em>

m=\frac{14-1}{1-15} =\frac{13}{-14} =-0.9286

Thus we have the equation

y=-0.9286x+b

Let us now calculate b from the point (1,14)

14=-0.9286(1)+b

b=14.9286

So the equation we get is

y=-0.9286x+14.9286

Let us now turn to the choices given and see which choice is closest to our equation: we see that choice D. y=-0.927x+13.634 is the closest one, so we pick it.

4 0
3 years ago
You may remember that the perimeter of a rectangle is P=2(W+L) where W is the width and L is the length.
s344n2d4d5 [400]

Step-by-step explanation:

So, x=width and the width=13+L. The formula for perimeter is 2(L)+2(W) and the total perimeter in this question is 62 feet. That means 2(L)+2(13+L)=62 feet. Solve for L and that's going to be your length. Add the length plus 13 and you'll have the width. Double check the equation by plugging the width and length back into the equation. (Does that help?)

6 0
2 years ago
Solve for y2. d = y2- y1
kvasek [131]
D=y2-y1
D+y1= y2-y1+y1 add y1 to both sides to cancel it out.

D+y1=y2 that drops -y1 for the right side but the left remains.

And that's your answer.
8 0
3 years ago
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