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algol [13]
3 years ago
8

Which value can be added to the set below without changing its mean?

Mathematics
1 answer:
shusha [124]3 years ago
7 0

Answer:

15..

Step-by-step explanation:

4, 10, 14, 18, 22, 22

Mean = (4 + 10 + 14 + 18 + 22 + 22)/6

= 90/6

= 15.

Number to be added, 'y'

For the mean to be the same

(90 + y) / 7 = 15

90 + y = 15 × 7

90 + y = 105

y = 105 - 90

= 15

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____________ 15. What is m∠A? Select all that apply.
KatRina [158]

The angle m∠A can be represented as follows:

  • m∠A = 47°
  • m∠A = 164 - 70 / 2

<h3>How to find the angle in a circle?</h3>

The above circle, a secant and a tangent intersect outside the circle.

A secant is a straight line that intersects a circle in two points.

A tangent  is a line that never enters the circle's interior.

Therefore, when a secant and a tangent intersect, the following rules applies:

m∠A = 1 / 2 (BD - BC)

m∠A = 1 / 2 (164 - 70)

m∠A = 1 / 2 (94)

m∠A = 47 degrees.

Therefore, the angle m∠A can be represented as follows:

  • m∠A = 47°
  • m∠A = 164 - 70 / 2

learn more on angles here:brainly.com/question/19906313

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5 0
2 years ago
I am not sure if my son got the first answers right and he is stuck on the last three. The teacher did not provide good instruct
Paul [167]

Answer:

1. Is correct

2. Isn't correct, (It would be number 1)

3. I'm unsure, (But I believe its number 1)

Step-by-step explanation:

2. These are angles across from each other.

3.  These are Angles of the same side that don't over lap.

5 0
2 years ago
The length of a rectangle is 3 times its width. The perimeter is 39. Find the length and width of the rectangle.​
nata0808 [166]

Answer:

Let width of rectangle be x cm.

3x+x+3x+x=39

8x=39

x=39÷8

=39/8

=4/7/8

3x=39/8×3

=117/8

=14/5/8

Hence, length=14/5/8cm while width=4/7/8cm.

6 0
2 years ago
Are the lines with equations 2x -3y = 8 and -x + 4y=2 parallel, perpendicular, or neither
skad [1K]

Answer:

neither

Step-by-step explanation:

First, arrange the equations to fit the y=mx + b format

1. 2x - 3y = 8

y = -2/3x - 8/3

2. -x + 4y = 2

y = 1/4x + 1/2

Equations that are parallel have the same slope.

In perpendicular equations, one slope would be x and the other would be -1/x (negative reciprocal)

The equations are neither parallel nor perpendicular, so neither.

3 0
2 years ago
Simplify the expression
Brums [2.3K]
Answer is A          m^7/n^2              -----------------
8 0
3 years ago
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