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musickatia [10]
2 years ago
5

Show that the two triangles given beside are similar and calculate the lengths of sides PQ and PR.

Mathematics
1 answer:
Rina8888 [55]2 years ago
5 0

9514 1404 393

Answer:

  • ΔABC ~ ΔPQR
  • PQ = 8
  • PR = 14

Step-by-step explanation:

Angles A and P are marked congruent; angles B and Q are marked congruent, so the triangles are similar by the AA similarity postulate. The similarity statement can be written ...

  ΔABC ~ ΔPQR by AA similarity

__

The ratio of sides of PQR to ABC is the ratio QR/BC = 12/6 = 2. That is, each side in the larger triangle is 2 times the length of the corresponding smaller side.

  PQ = 2·AB = 2·4 = 8

  PR = 2·AC = 2·7 = 14

The side lengths of interest are ...

  PQ = 8, PR = 14

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A political gathering in South America was attended by 7,910 people. Each of South America’s 14 countries was equally represente
zheka24 [161]

Answer:

565

Step-by-step explanation:

You would divide the number of people (7910) by the number of countries attending (14).

7910÷14=565

3 0
3 years ago
The sum of the deviations about the mean always equals _________.
Cloud [144]
It always equal 0 
hope this helps :)                                                            
5 0
3 years ago
A house on the market was valued at $245,000. After several years, the value increased by 9%. By how much did the house's value
aniked [119]

We are given that a house had a value of $245000 and its value was increased by 9%. To determine how much is this value increase in dollars we need to multiply the value of the house by 9/100. We get this:

245000\times\frac{9}{100}=22050

Therefore, the increase in dollars is $22050. Now, to determine the current value we need to add the increase to the previous value, we get:

245000+22050=267050

Therefore, the current value of the house is $267050.

6 0
10 months ago
Earth’s surface is approximately 70% water. There is no water on the surface of Mars, and its diameter is roughly
Pie

Answer:

  Earth

Step-by-step explanation:

You don't need scientific notation.

The areas of similar figures are proportional to the square of their linear scale factor. If Mars is 1/2 the diameter of Earth, its total surface area is (1/2)² = 1/4 that of Earth.

That is, the land area of Mars is 25% of the total area of Earth.

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Earth has more land area than Mars.

8 0
3 years ago
WILL MEDAL help me if please
nordsb [41]
1. Use the FOIL method (x+9)(x+9)
First, outer, inner, last
x^{2} +9x+9x+81
Add your like terms
x^{2} +18x+81

2. When you add or subtract polynomials you add or subtract the like terms and then put them in order from largest to smallest exponents.

3. -5x(5 x^{3} +10 x^{2} -6x+3)

4. Since it is the perimeter, we add the 3 together.
(2 x^{2} +4x-3)+(-3 x^{2} -3)+(5x+19)
Add the like terms together:
2 x^{2} +(-3 x^{2} )=- x^{2}  \\ 4x+5x=9x \\ -8+(-3)+19=8
Put them in order of exponents
- x^{2} +9x+8

Hope this helps
8 0
2 years ago
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