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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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From percent to decimal: move the decimal point two steps to the left. For example: 56%=0.56

From decimal to fraction: Rewrite the decimal number number as a fraction (example: <span>2.625=<span>2.6251</span></span>) an then Multiply by 1 to eliminate 3 decimal places, we multiply numerator and denominator by 10 cubed = 1000<span><span><span>2.625/1</span>×<span>1000/1000</span>=<span>2625/1000 and don forget to reduce if possible;)

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3 0
3 years ago
How to write g(x)=2x+3/x+1 in the form of:g(x)=a/x+p +q
aliya0001 [1]
Hello,

Please write correctly.

g(x)= (2x+3)/(x+1) to be written like a/(x+p) + q

It is very simple!

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7 0
3 years ago
Find the average speed Distance:1,375km Time: 2 hours 5 minutes
Murljashka [212]

Answer:

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6 0
2 years ago
Express answer in exact form.
Kruka [31]
We know that
<span>the regular hexagon can be divided into 6 equilateral triangles
</span>
area of one equilateral triangle=s²*√3/4
for s=3 in
area of one equilateral triangle=9*√3/4 in²

area of a circle=pi*r²

in this problem the radius is equal to the side of a regular hexagon
r=3 in
area of the circle=pi*3²-----> 9*pi in²
we divide that area into 6 equal parts------> 9*pi/6----> 3*pi/2 in²

the area of a segment formed by a side of the hexagon and the circle is equal to <span>1/6 of the area of ​​the circle minus the area of ​​1 equilateral triangle
</span>so
 [ (3/2)*pi in²-(9/4)*√3 in²]

the answer is
 [ (3/2)*pi in²-(9/4)*√3 in²]

6 0
3 years ago
three snack bars contain 1/5,0.22,and 19% of their calories from fat. which snack bar contains the least amount of calories from
podryga [215]
19% becuze .22 is 22% and 1/5 is 20%
7 1
3 years ago
Read 2 more answers
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