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olganol [36]
4 years ago
5

The figure shows the construction steps to bisect an angle. The steps are in an incorrect order. What is the correct order of th

e steps to construct an angle bisector?

Mathematics
1 answer:
klemol [59]4 years ago
6 0

Answer:

The correct order of the steps is CEABD ⇒ B

Step-by-step explanation:

Let us arrange the figures

To construct a bisector of an angle

First: Draw angle AOB

First step is figure C

Second: Place the pin of the compass on point O and draw an arc intersects the two sides of the angle OA and OB at points D and E

Second step is figure E

Third: Place the compass on point D and draw an arc in the interior of the angle

Third step is figure A

Fourth: without change the open of the compass place its pin on point E and draw an arc which intersects the arc drawn from point D at point C

Fourth step is figure B

Fifth: Draw a line from point A to point C, this line AC is the bisector of angle AOB

Fifth step is figure D

The correct order of the steps is CEABD

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Translate to a system of equations:
omeli [17]

Answer:

m + n = 15

m - 3 = n

The numbers are 9 and 6

Step-by-step explanation:

From the question,

The sum of two numbers is fifteen; the first number is m and the second number is n. To translate to a system of equations, we can write that

m + n = 15 ..... (1)

Also, from the question,

One number is three less than the other,

Also, to translate to a system of equations, we can write that

m - 3 = n ...... (2)

If desired, we can determine m and n

From equation (1)

m + n = 15

Then,

m = 15 - n ...... (3)

Put the value of m in equation (3) into equation (2)

m - 3 = n

Then

15 - n - 3 = n

15 - 3 = n + n

12 = 2n

n = 12/2

∴ n = 6

For m, put the value of n into equation 3

m = 15 - n

m = 15 - 6

m = 9

∴ m = 9 and n = 6

Hence, the numbers are 9 and 6

3 0
3 years ago
Mrs Omar runs the school tennis club. She has a bin of tennis balls and rackets for every 5 tennis balls in the bin there are 5
Sav [38]

Answer:

x=y

Step-by-step explanation:

let x be the number of tennis balls and y the number of rackets.

-We divide the number of balls by the number of rackets to find out their ratio of proportionality:

\frac{x}{y}=\frac{5}{5}=\frac{1}{1}=1

-Hence, for each one ball there is one racket, so;

x=y

-This relationship is linear in nature, a direct variation, and can be graphed as attached below:

6 0
3 years ago
Read 2 more answers
What is the final step in solving the inequality - 2(5 - 4x)< 6x - 4?
mezya [45]

Answer: X < 3

Step-by-step explanation:

-6 < -2x   -- Divide by -2

3 > x --- The sign flips when dividing in negative numbers.

Since three is greater than x

X is less than 3

meaning

X < 3

3 0
3 years ago
4x-8 = 12<br> 4x - 8 + 8 = 12 + 8<br> 4x= 20<br> 4/4x=20/4 x=
TEA [102]

Answer:

x=5

i just got it right on my quiz

5 0
3 years ago
2y + 4x = 16<br><br> Anyone know how to solve for Y?
Ede4ka [16]

Answer:

y = -2x + 8

Step-by-step explanation:

In this question, you have to solve for "y".

Solve:

2y + 4x = 16

Get "y" by itself by subtracting 4x from both sides.

2y = -4x + 16

Simplify by dividing both sides by 2.

y = -2x + 8

3 0
3 years ago
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