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tekilochka [14]
2 years ago
6

In triangle ABC, AP is an angle bisector of angle BAC. What is the length of PC? Round you answer to the nearest whole number.

Mathematics
1 answer:
allochka39001 [22]2 years ago
6 0

Answer:

D) 9

Step-by-step explanation:

x = ½ × 13 = 6.5

y = ½ × 5 = 2.5

6.5 + 2.5 = 9

So the length of PC is 9

<em>H</em><em>O</em><em>P</em><em>E</em><em> </em><em>T</em><em>H</em><em>I</em><em>S</em><em> </em><em>H</em><em>E</em><em>L</em><em>P</em><em>S</em><em> </em><em>A</em><em>N</em><em>D</em><em> </em><em>H</em><em>A</em><em>V</em><em>E</em><em> </em><em>A</em><em> </em><em>N</em><em>I</em><em>C</em><em>E</em><em> </em><em>D</em><em>A</em><em>Y</em><em> </em><em><</em><em>3</em><em> </em>

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A picture frame is 9 inches long and 6 inches wide. It can display a picture 6 inches long and 4 inches wide. What is the area o
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Answer:

30 inches squared

Step-by-step explanation:

First, find the area of the entire frame using length times height. 9*6 is 54 inches squared. Then, find the area of the middle space the same way. 6*4 is 24 inches squared. Lastly, subtract the middle from the entire frame's area. 54-24 is 30 inches squared.

4 0
3 years ago
A coat that usually costs $120.00 is marked 1/3 off. What is the sale price of the coat?
dedylja [7]

If the coat is 120$ then 1/3 is taken off it would be 80$

Step-by-step explanation:

1/3 of 120 is 40. 40x 3 is 120.

7 0
3 years ago
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What is the probability of not picking a red face card when you draw a card at random from a pack of 52 cards? ​
aniked [119]

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3/13

Step-by-step explanation:

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A photo is 15 cm high and 9 cm wide Michael wants to but porcelain shrink it so it's height is 6 cm High how wide will it then b
weqwewe [10]

Answer:

3.6cm

Step-by-step explanation:

Given data

We are given that the dimension of the photo is

Height= 15cm

Width= 9cm

That is

            15cm height  will make 9cm width

hence    6cm height will make x widht

cross multiply

9*6= 15*x

54= 15x

x= 54/15

x= 3.6cm

Hence the width will be 3.6cm

3 0
3 years ago
The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.
nordsb [41]

Answer:

12 inches

Step-by-step explanation:

Let b represent the base

h represents the height

area of the parallelogram = base * height = 216 square inches

From the question'

b = 18 + 3h

Slot in the value of b

216 = (18 + 3h) * h

expand

216 = 18h + 3h^2

subtract 216 from both sides

0 = 18h + 3h^2 - 216

rearrange

3h^2 + 18h - 216 = 0

divide through by 3

h^2 + 6h - 72 = 0

Now, lets solve!

h^2 + 6h - 12h - 72 = 0

h( h + 6 ) - 12(h + 6) = 0

(h - 12) (h + 6) = 0

h - 12 = 0

h = 12

and

h + 6 = 0

h = - 6

Taking the positive value of h

Hence, the height is 12 inches

Lets check

when h = 12 inches

Area of the parallelogram = 18* 12 = 216 square inches     .... correct

when h = -6inches

A = 18 * -6 ≠  216 square inches

So height is 12 inches

5 0
4 years ago
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