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Readme [11.4K]
4 years ago
15

(HELP ASAP) Kite EFGH is inscribed in a rectangle where F and H are midpoints of parallel sides.

Mathematics
2 answers:
siniylev [52]4 years ago
8 0

The answer is 5 units on e2020.

Reika [66]4 years ago
7 0
Let's say that FH and EG intersection is O,
So we have the following:
OF = 2
OH = 5

Just because F and H are midpoints it means that EO = OG = x
And as it's given the area S=35

On the other hand
S = OF*OG/2 + OG*OH/2 + OH*OE/2 + OE*OF/2 = 2*x/2 + x*5/2 + 5*x/2 + x*2/2 = 2*x + 5*x = 7*x = 35

7x = 35 so x = 35/7 = 5

Answer: 5 units

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4 years ago
If the lesser of the two consecutive even integers is five more than half the greater, what are the two integers?
Marina CMI [18]

The integers are 12, 14.

Solution:

Let the even consecutive integers be x and x + 2.

Lesser number = x and Greater number = x + 2

Lesser number = Half of greater number + 5

$\Rightarrow x = \frac{1}{2} (x + 2) + 5

$\Rightarrow x = \frac{x + 2}{2} + 5

To add the numbers, denominators must be same. So multiply 5 by \frac{2}{2}.

$\Rightarrow x = \frac{x + 2}{2} + \frac{10}{2}

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Multiply by 2 on both sides, we get

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Subtract x from both sides.

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Hence the integers are 12, 14.

7 0
3 years ago
Solve the equation for y.
gayaneshka [121]

Answer: C

Step-by-step explanation:

2x+5y=5

\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}

2x+5y-2x=5-2x

\mathrm{Simplify}

5y=5-2x

\mathrm{Divide\:both\:sides\:by\:}5

\frac{5y}{5}=\frac{5}{5}-\frac{2x}{5}

\mathrm{Simplify}

\bf{y=-\frac{2}{5}x  + 1}

6 0
2 years ago
7x + 5y = 29<br> 21x - 25y = -33
Oksanka [162]
    5*(7x + 5y = 29) 
<u>+  21x - 25y = -33
</u>
    35x + 25y = 145
<u>+  21x - 25y = -33</u>
   56 x + 0y = 112

56x = 112
x = 2

Plug the x back in to the original equation to solve for y. 

7x + 5y = 29
7(2) + 5y = 29
14 + 5y = 29
5y = 15
y = 3

21x - 25y = -33
21(2) - 25y = -33
42 - 25y = -33
-25y = -75 
y = 3

x = 2 and y = 3
7 0
3 years ago
Read 2 more answers
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