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IceJOKER [234]
3 years ago
9

Fill the blanks in please and thanks

Mathematics
1 answer:
saw5 [17]3 years ago
3 0

Answer:

Angles are the same, So:

C = G = 125

H = D = 75

A = E = 360 - ( 90+75+125) = 70

To know the ratio between the lengths. Divide 6 by 9 so you get 2/3

So every side of small polygon equals 2/3 times side of big polygon. ( THE PARALLEL ONES )

So:

FG = 7* 2/3 = 14/3

GH = 11 * 2/3 = 22/3

EH = 12 * 2/3 = 8

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What is the length of AB?
makkiz [27]
The radius of the circle is given to be r = 14.5

Let the center be O. So OB is the radius = 14.5

We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.

So, we can write:

(14.5)^{2}=10^{2}+OA^{2} \\  \\ 
OA^{2}=110.25 \\  \\ 
OA=10.5

Thus, the measure of OA = 10.5

OB = OA + AB

14.5 = 10.5 + AB
⇒
AB = 4
3 0
3 years ago
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Solve the following inequality: 3x + 9 ≤7x -11.
m_a_m_a [10]

Answer:

x ≥ -3

Step-by-step explanation:

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  -4x - 12  =   -4 • (x + 3)

Equation at the end of step  1  :

Step  2  :

2.1    Divide both sides by  -4

Remember to flip the inequality sign:

Solve Basic Inequality :

2.2      Subtract  3  from both sides

           x ≥ -3

Inequality Plot :

2.3      Inequality plot for

        -4.000 X  - 12.000  ≥  0

 

6 0
3 years ago
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Determine the quadrant in which the terminal side of the given angle lies. -750°
Blababa [14]

Answer:

Quadrant 4

Step-by-step explanation:

If the given angle was positive, then we go clockwise.

But it's negative so we go counterclockwise.

An alternative way of graphing

Quadrant 1 is 0-90°

Quadrant 2 is 90-180°

Quadrant 3 is 180-270°

Quadrant 4 is 270-360°

Subtract the given angle by 360 until no longer possible

750 - 360 = 390     390 - 360 = 30

Remember that this was originally a negative angle

Instead of going clockwise to quadrant 1, we go counterclockwise to quadrant 4, ending up at 330°

7 0
3 years ago
A worker’s pay for one week was $312. She worked 39 hours. How much was she paid per hour?
Volgvan

To find out how much she earned hourly, all we need to do is divide 312 and 39

312 ÷ 39 = 8

Therefore, she was paid $8 per hour

Hope this helps!

8 0
3 years ago
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If a pond is 6m by 15m, will 40m of fencing will be enough to fenced a pond
olchik [2.2K]

6m + 6m + 15m + 15m = 42m

no 40m will not be enough

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