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krek1111 [17]
3 years ago
9

What is the relationship between the segments PQ and P’Q’

Mathematics
1 answer:
cupoosta [38]3 years ago
5 0

Answer:

\frac{PQ}{P'Q'}=2.5

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

In this problem Triangles OQP and OQ'P' are similar by AA Similarity Postulate

so

\frac{PQ}{P'Q'}=\frac{OP}{OP'}

we have

OP=12-2=10\ units

OP'=6-2=4\ units

substitute

\frac{PQ}{P'Q'}=\frac{10}{4}=2.5

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(2x+3)²=5.find the roots of the equation ​
bija089 [108]

Answer:

-2.61803398875, -0.38196601125

or

(-3±√5)/2

Step-by-step explanation:

First, expand. (2x+3)² = 4x²+12x+9=5

4x²+12x+4 = 0

Quadratic equations take the form ax²+bx+c = 0

In this case,

a = 4

b = 12

c = 4

You can solve with the equation x=(-b±√b²-4ac)/2a

Plug in:

(-12±√144-64)/8

(-12±√80)/8

(-12±√2^4×5)/8

(-12±4√5)/8

(-3±√5)/2

Final answer x = (-3±√5)/2

If you want decimal form: -2.61803398875, -0.38196601125

4 0
2 years ago
A segment has one endpoint at (-4,1) and it's midpoint at (3,0). What is the x-coordinate of the other endpoint?
nikklg [1K]

Answer:

(10; -1)

the x-coordinate of the other endpoint is (x;y)

because the segment has midpoint at (3;0)

=> x - 4 = 3.2 = 6

y + 1 = 0.2 = 0

<=> x = 10

y = -1

=> the other endpoint is (10; -1)

5 0
2 years ago
Read 2 more answers
Given quadrilateral TUVX ~ quadrilateral MNOP and VX = 5, XT = 10, and OP = 7, what is PM?
Likurg_2 [28]
\dfrac{\overline{PM}}{\overline{OP}}=\dfrac{\overline{XT}}{\overline{VX}}\\\\&#10;\dfrac{\overline{PM}}{7}=\dfrac{10}{5}\\\\&#10;\dfrac{\overline{PM}}{7}=2\\\\&#10;\overline{PM}=14

8 0
3 years ago
- George wanted to buy a car for $20,000. He knew he wanted to trade it in when the car had depreciated to $12,500. He knows tha
777dan777 [17]

Answer:

yes your are correct socyeahhh

3 0
4 years ago
Helphelphelphelphelphelphelphelp
solniwko [45]

Answer:

Step-by-step explanation:

the areas are the same, the outer squares of Q are the ones missing in the center

7 0
1 year ago
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