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Archy [21]
3 years ago
5

Point M is the midpoint of CD. What is the value of a in the figure?

Mathematics
1 answer:
liq [111]3 years ago
8 0

Answer:

a=3

Step-by-step explanation:

Given points (a, b) and (c,d), the midpoint of the points will be at

((a+c)/2, ((b+d)/2)

Therefore, given (9, 2) and (a,2a), our midpoint is at

((9+a)/2, (2+2a)/2) = (6,4)

Matching the x values to their corresponding x values and doing the same with the y values, we get

(9+a)/2 = 6

(2+2a)/2 = 4

First, we have

(9+a)/2 = 6

multiply both sides by 2 to remove the denominator

9+a = 12

subtract 9 from both sides to isolate a

a = 3

2a = 2 * a = 6

Confirming this, we have

(2+2a)/2 = 4

(2+6)/2 = 4

8/2=4

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Alenkasestr [34]

Answer:

= 18

Step-by-step explanation:

7 0
2 years ago
Write an equation for a line passing through (-4, 3) and (0, 6)
Elena L [17]

Answer:

y = 3/4x + 6

Step-by-step explanation:

6-3          3

------- =  ------

0--4        4

y = mx + b

take coordinates for y and x out of (-4, 3) or (0,6)

6= 3/4 * 0 + b

6 = 0 + b

b = 6

7 0
3 years ago
Two parallel lines are crossed by a transversal. What is the value of h? h = 60 h = 80 h = 100 h = 120
lisabon 2012 [21]
I added the diagram of the question.

<u><em>Answer:</em></u>
h = 60°

<u><em>Explanation:</em></u>
We are given that lines k and l are parallel lines.
This means that angles 120° and h are <u>supplementary angles</u>.
This means that their measures <u>add up to 180°</u>

<u>Therefore:</u>
180° = 120° + h
h = 180° - 120°
h = 60°

Hope this helps :)

8 0
3 years ago
Read 2 more answers
A cubical tank of edge 12 cm is half filled with water. The water is poured into an empty rectangular tank measuring 10 cm by 8
qaws [65]

Answer:

3040000mm³

Step-by-step explanation:

Volume of a cube = a³ ; a = size of edge

Volume of cubical tank = 12³ = 12 * 12 * 12 = 1728 cm³

Half filled cube = 1728 / 2 = 864 cm³

Volume is f rectangular tank :

V = length * width * height

V = 10 * 8 * 7 = 560 cm³

Volume of water left in cubical tank :

(864 - 560) = 304cm³

1cm³ = 1000mm³

304cm³ = 304 * 1000 = 3040000mm³

3 0
3 years ago
Can someone else me with the answer I think that it’s 93 degrees
inna [77]
Thank you for coming to Brainly with your questions!

I believe the answer is: 

93 degrees. You were correct. The interior angles all add up to 360, so you subtract each given angle to find the missing angle.

I hope this helps you! Please mark Brainliest! Let me know if I can help you with any further questions!

-Belle
7 0
3 years ago
Read 2 more answers
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