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il63 [147K]
2 years ago
14

If DE = X+1, EF = x-2, DF =15, and E is between D and F. then DE = ?

Mathematics
1 answer:
mart [117]2 years ago
8 0

Answer:

X =8

Step-by-step explanation:

DF = DE + EF

15 = X+1 + X-2

16 = 2X

X = 8

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Question 5 of 10
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Answer:

The median value of the houses is $169,000

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Since the houses were undervalued by $15,000, add $15,000 to all amounts

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The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is
emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh    where b is the base, and h is the height

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"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

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Now factor...

(b + 24)(b - 8) = 0       (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0          

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b - 8 = 0

  b = 8        

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

 

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     h = 4 + 8

 

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