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krok68 [10]
2 years ago
5

So just read yhe picture please ​

Mathematics
1 answer:
const2013 [10]2 years ago
6 0

The correct answer is B). 6

Radius of inscribed circle of triangle HJK is 6 unit

Step-by-step explanation:

As shown in figure,

The triangle HJK has In-circle or inscribed circle of radius PL(or PM or PN)

Since, PL and PM is radius of same in-circle,

PL = PM

Given that PL=3x+4 and PM =6x-14

3x+4=6x-14

3x=18

x=6

Thus, The correct answer is B). 6

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Kendra found two worms in the yard and measured them with a ruler. One worm was 7 2/3 inches long. The other worm was 2 1/6 inch
Black_prince [1.1K]

Answer:

5½ inches

Step-by-step explanation:

7⅔ - 2 1/6 = 7 4/6 - 2 1/6 = 5 3/6 = 5½

3 0
3 years ago
what is the value of x in the diagram below? if necessary round your answer to the nearest tenth of a until
VladimirAG [237]

Answer:

C

Step-by-step explanation:

Calculate AC using Pythagoras' identity in ΔABC

AC² = 20² - 12² = 400 - 144 = 256, hence

AC = \sqrt{256} = 16

Now find AD² from ΔACD and ΔABD

ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²

ΔABD → AD² = 12² - x² = 144 - x²

Equate both equations for AD², hence

256 - 400 + 40x - x² = 144 - x²

-144 + 40x - x² = 144 - x² ( add x² to both sides )

- 144 + 40x = 144 ( add 144 to both sides )

40x = 288 ( divide both sides by 40 )

x = 7.2 → C



6 0
2 years ago
Read 2 more answers
The rectangle shown is dilated by a scale factor of 1/5
Harrizon [31]

Answer:

A'B'= 3 cm and B'D' = 1.6 cm

Step-by-step explanation:

First of all, we are told that the scale factor = 1/5

Now,we know that If the scale factor is less than 1, then the dilation is a reduction.

Thus, in this question the dilation is a reduction.

For us to calculate the dimensions of the dilated rectangle, we'll multiply the original dimensions by the scale factor

Thus;

A'B' = AB(1/5)

A'B' = 15(1/5) = 3 cm

B'D' = BD(1/5) = 8(1/5) = 1.6 cm

Thus, The length of each side of the dilated rectangle are;

A'B'= 3 cm and B'D' = 1.6 cm

5 0
3 years ago
every 1/2 mile along a hiking path there is water fountain, every 1/4 mile there is a bench, and every 1/8 mile there is a marke
defon
Bench and mile marker
7 0
3 years ago
The base of a triangular garden measures 5.5 feet. It takes 33 pounds of mulch to cover the garden. If 4 pounds of mulch are nee
Stells [14]
The dimensions given when you have a triangle is the base and height of the triangle. The formula for the area is

A = 0.5bh

The unknown here is h. We can determine that from the cost of mulch that covers the whole area of the triangle. The equation would be:

4A = 33

Substituting A = 0.5*5.5*h = 2.75h to the equation:

4(2.75h) = 33
11h = 33
h = 33/11
h = 3 feet
4 0
3 years ago
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