-18x + 5y= 7 -9x – 3y = -24

Mathematics

1 answer:

katovenus [111]3 years ago

8 0

Answer:

x=1 and y=5

Step-by-step explanation:

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Given the median line QR and trapezoid MNOP, what is the value of x? MN=17 QR=x+12 OP=5x-14

kari74 [83]

Answer:
x = 7
MN (first base) = 17 units
OP (second base) = 21 units
QR (median) = 19 units

Explanation:
In a trapezium, the length of the median is equal to half the sum of the two bases.

From the given, we have:
MN (first base) = 17 units
OP (second base) = 5x - 14 units
QR (median) = x + 12 units

Applying the above rule:
median = 0.5 (first base + second base)
x + 12 = 0.5 (17+5x-14)
2(x+12) = 17+5x-14
2x + 24 = 3 + 5x
24-3 = 5x-2x
21 = 3x
x = $\frac{21}{3}$
x = 7

Based on the above, the lengths would be:
MN (first base) = 17 units
OP (second base) = 5x - 14 = 5(7) - 14 = 21 units
QR (median) = x + 12 = 7 + 12 = 19 units

Hope this helps :)

7 0

3 years ago

Read 2 more answers

Find the length of X in simplest radical form with a rational denominator

Darya [45]

Answer:

$x = \sqrt 6$