In △ABC, point P∈AB so that AP:BP=1:2. Point R ∈ PB that PR:BR=1:2. Point Q∈BC so angle BQR = angle BCP. Find ratio of PQC to ABC.

Answers

Answer 1
Answer:

Answer:

Ratio of PQC to ABC is 2:9.

Step-by-step explanation:

In ΔBRQ and ΔBPC

∠BQR = ∠BCP (given) and ∠B is common for both triangles, so from AAA similarity ΔBRQ and ΔBPC are similar.

⇒ BQ : QC = BR : RP = 2 : 1    →(1)

now draw perpendiculars from points A and P to BC line segment. Call the projected points as A' and P'.

It is clear that lines AA' and PP' are parallel. So in ΔBPP' and ΔBAA' we have AAA similarity with common angle at B.

⇒PP' : AA' = BP : BA = 2 : 3    →(2) (∵ AP : PB = 1 : 2)

area of ΔPQC = 0.5×PP'×QC

area of ΔABC = 0.5×AA'×BC

area of ΔPQC : area of ΔABC = (0.5×PP'×QC)/(0.5×AA'×BC)

                                               =(PP'/AA')×(QC/BC)

                                               =(2/3)×(1/3) (∵ from (1) and (2))

                                               =2/9.

∴ Ratio of PQC to ABC is 2:9


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I need help on these questions PLEASE
2b+8-5b+3= -13 -8b-5

What is 3-3 x 6+2=?????????????????????????????????

Answers

-13 is what I came up with, and believe me, it is what the answer is
 3-3 x 6+2= -13
The answer= -13

Divide 3/5 by its reciprocal

Answers

Answer:

9/25

Step-by-step explanation:

3/5/5/3

3/5*3/5=9/25

Answer:

=9/25

Step-by-step explanation:

The reciprocal of 3/5 is 5/3, and when you divide it you multiply 3/5 * 3/5. Then you multiply the two and the answer you get is 9/25

How many degrees is in an acute angle?

Answers

Answer:

89 degrees or less

Step-by-step explanation:

90 degrees, right angle

91 degrees and over is an obtuse angle

180 degrees is a straight line

Answer:

less than 90 degrees

Step-by-step explanation:

The figure below shows triangle STU and some of its transformed images on a coordinate gird which of the four triangles was formed by a translation of triangle STU

Answers

Answer:

Its translation C.

Step-by-step explanation:

And to give someone brainliest 2 people have to answer and then you give brainliest to whoever was the most helpful :)

HOMEWORK HELP NEED IT FAST PLEASE!1. Write the next two terms in the pattern 12,48,192,768 ___,___,

2. which of the following rules apply to the pattern shown below 8,16,24,32

3. Find the missing term 75,67,59,___,43,45

4. The rule for a pattern is given below start with 96 and divide by 2 repeatedly which two numbers would not be in a term for this pattern

32
24
16
3

Answers

A sequence is an ordered list of elements with a specific pattern.

1 answer - The next two terms are 3072 and 12288.

2 answer - The terms are multiples of 8

3 answer - The missing term is 51.

4 answer - The number that is not in the pattern is 32 and 16.

What is a sequence?

A sequence is an ordered list of elements with a specific pattern.

We have,

1.

12, 48, 192. 768

We see that the next term is a multiple of 4 of the previous term.

12 x 4 = 48

48 x 4 = 192

192 x 4 = 768

768 x 4 = 3072

3072 x 4 = 12288

The next two terms are 3072 and 12288.

2.

8, 16. 24. 32

The terms are multiples of 8.

8x1 = 8

8x2 = 16

8x3 = 24

8x4 = 32

3.

75, 67, 59, __, 43, 35

75 - 8 = 67

67 - 8 = 59

59 - 8 = 51

51 - 8 = 43

43 - 8 = 35

The missing term is 51.

4.

96 / 2 = 48

48/2 = 24

24/2 = 12

12/2 = 6

6/2 = 3

We see that we have 48, 24, 12, 6, and 3 in the pattern.

The number that is not in the pattern is 32 and 16.

Thus,

1 answer - The next two terms are 3072 and 12288.

2 answer - The terms are multiples of 8

3 answer - The missing term is 51.

4 answer - The number that is not in the pattern is 32 and 16.

Learn more about sequence here:

brainly.com/question/25498957

#SPJ2

1. Write the next two terms in the pattern 12,48,192,768 , 3072,12288 
2. which of the following rules apply to the pattern shown below 8,16,24,32
times two
3. Find the missing term 75,67,59,51,43,45
4. The rule for a pattern is given below start with 96 and divide by 2 repeatedly which two numbers would not be in a term for this pattern

(32)
24
(16)
3

Plz do all and i will give brainlyest

Answers

Answer:

Look down

Step-by-step explanation:

1) 40pi meters^2

2) 8100pi yards^2

3) 324 pi meters^2

Answer:

1. 125.66 m

2. 282.74 yds

3. 254.47 m

PLEASE GIVE ME BRAINLIEST

Step-by-step explanation: