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Lostsunrise [7]
3 years ago
7

Use the picture below.

Mathematics
1 answer:
Flauer [41]3 years ago
6 0

Answer:

x = 2.67°

GKJ = 40°

Step-by-step explanation:

Angle HKJ = 6x + 4

Angle HKG = 9x - 4

Segment bisects Angle GKJ, it means that angle HKJ is the same as angle HKG.

You have the measure of both angles in terms of x.

Angle HKJ = Angle HKG

6x + 4 = 9x - 4

4 + 4 = 9x - 6x

8 = 3x

2.67 = x

Angle HKJ:

6(2.67) + 4 = 20°

Angle HKG:

9(2.67) - 4 = 20°

Angle GKJ = HKJ + HKG = 20 + 20 = 40°

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The height of a painting is twice its width. You want a 4 inch wooden frame for the painting. Write a variable expression for th
vfiekz [6]

Answer:

hx2+4

Step-by-step explanation:

Just doubled the painting width and you get your height.

8 0
3 years ago
What is the sum of the
Dahasolnce [82]

Answer:

360 degree

Step-by-step explanation:

The sum of all the exterior angles is 360 for any polygon.

This can be proved for polygon with 20 sides also.

We know that sum of all the angles of polygon is given by formula = (2*n -4) *90

where n is the no. of sides of polygon

for 20 sides polygon sum of  sum of all the angles = (2*20 -4) * 90

= (40-4)*90 = 36*90 = 3240 degree

measure of each angle of polygon = sum of total angles of polygon/ no of sides of polygon = 3240/20 = 162

We also know that sum of interior and exterior angle of triangle is 180 degree, as interior and exterior angle  lies on straight line and they  are supplementary

so

162 + value of exterior angle = 180

=> value of exterior angle = 180 - 162 = 18

Value of one exterior angle is 18 degree

in 20 sided polygon there are 20 exterior angle

therefore, value of 20 exterior angle is 18*20 degree which is 360 degree.

__________________________________________________________

As a general point one can memorize than sum of all the exterior angle for a polygon with any number of side is 360.

3 0
3 years ago
A cab in NYC charges you $1.25 a mile and a flat fee of $4 to ride in the cab. A cab in Chicago charges you $0.75 a mile but a f
Vikentia [17]

Answer:

After 4 miles driven by cab the amount would be same in both cities.

Step-by-step explanation:

Let the number of miles be 'x'.

Given:

In NYC

Flat fee of cab = $4

Per mile charge = $1.25

Total cab charges is equal to sum of Flat fee of cab and per mile charge multiplied by number of miles.

Framing in equation form we get;

Total cab charges in NYC = 4+1.25x

In Chicago

Flat fee of cab = $6

Per mile charge = $0.75

Total cab charges is equal to sum of Flat fee of cab and per mile charge multiplied by number of miles.

Framing in equation form we get;

Total cab charges in Chicago = 6+0.75x

Now we need to find number of miles driven so that the amount could same in both cities.

Total cab charges in NYC = Total cab charges in Chicago

4+1.25x=6+0.75x

Combining like terms we get;

1.25x-0.75x=6-4\\\\0.5x=2

using Division Property we will divide both side by 0.5 we get;

\frac{0.5x}{0.5} =\frac{2}{0.5} \\\\x=4

Hence After 4 miles driven by cab the amount would be same in both cities.

7 0
3 years ago
The diameter of a circle is 10 kilometers. What is the circle's radius?<br> d=10 km
alexandr402 [8]

Step-by-step explanation:

Let diameter of the circle be d and radius be r.

\therefore \: r =  \frac{d}{2}  \\  \\   \therefore \: r =  \frac{10}{2}  \\  \\ \therefore \: r = 5 \: kilometers.

Hence radius of the circle is 5 kilometers.

4 0
3 years ago
The perimeter of a square must be greater than 188 inches but less than 198 inches. find the range of possible side lengths that
Assoli18 [71]
It should be latter A
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3 years ago
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