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Likurg_2 [28]
3 years ago
8

Find the variable x in the figure if AB ll CD ll EF where c and d are the midpoints of AE and BF.

Mathematics
1 answer:
dangina [55]3 years ago
5 0
CD is called the middle base and is equal to :(AB + EF)/2

CD = <span>(AB + EF)/2

4x = [(x</span>²+10) + (8-x)]/2

8x = x²+10+8-x

8x= x²-x+18
x²-9x+18 = 0

x' = [-b+√(b²-4.a.c)]/2a       & x" = [-b-√(b<span>²-4.a.c)]/2a

x'= 6  and x" = 3, So we have2 values of x</span>
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%20%7Bw%7D%5E%7B6%7D%20%20%7Bv%7D%5E%7B5%7D%20%7D%7B15%20%7Bw%7D%5E%7B2%7D%20v%7
ehidna [41]
Breaking down:
\frac{3}{15}  =  \frac{1}{5}
{w}^{6}  \div  {w}^{2}  =  {w}^{4}
{v}^{5}  \div v =  {v}^{4}

Therefore,
\frac{3 {w}^{6} {v}^{5} }{15 {w}^{2}v } \\  =  \frac{{w}^{4} {v}^{4}  }{5}

Hope this helps. - M
5 0
3 years ago
PLSSS HELPPPPP 36 points
Lorico [155]

The interceps for x and y is in the pic

7 0
3 years ago
Read 2 more answers
3(n+4)=17 using the equation above, write a description
MArishka [77]
Four plus a number times three is seventeen
4 0
3 years ago
Read 2 more answers
Mary took out a student loan for $15000 at 4% simple interest. How much interest will she pay in 10 years? suppose she paid it o
sergey [27]

Simple interest formula:

Total = principal x (1 + rate x years)

10 years:

Total = 15,000(1+0.04x10)

Total = $21,000

8 years:

Total = 15000(1+0.04x8)

Total = $19,800

Savings = 21,000 - 19,800 = $1,200

4 0
3 years ago
A group of point that lie on the same plane are called
melamori03 [73]

Hey There!

Answer Coplanar Points

The term to describe a group of points that lie on the same plane are called.

Coplanar Points

If the points were to lie on the same line, the term to describe this would be called.

Collinear point

Hope this helped!

5 0
3 years ago
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