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kvasek [131]
3 years ago
10

In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 3x – 1, and HE = 5y + 4. Find the values of x and y.

Mathematics
2 answers:
notsponge [240]3 years ago
8 0

Answer:

x=35 y=20

Step-by-step explanation:

earnstyle [38]3 years ago
4 0
The diagonals of a parallelogram bisect each other.

DH = HF and GH = HE

x + 5 = 2y
3x - 1 = 5y + 4

Solve the first equation for x.
x = 2y - 5

Now substitute 2y - 5 for x in the second equation.

3(2y - 5) - 1 = 5y + 4

6y - 15 - 1 = 5y + 4

6y - 16 = 5y + 4

y = 20

Now substitute 20 for y in the first original equation.

x + 5 = 2y

x + 5 = 2(20)

x + 5 = 40

x = 35

Answer: x = 35 and y = 20
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Oksanka [162]

Answer:

The company decided to increase the price by $9.60, or by 48%.

Step-by-step explanation:

To measure the price difference in dollars is simple, just subtract the old price from the new one:

29.60 - 20 = 9.60

Divide the price change by the old price to find the price increase in percentage:

9.60 \div 20 = 0.48 \\ 0.48 \times 100\% = 48\%

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Which is the best stock you can invest now in 2021, or where I can learn to invest in stock market​
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3 0
3 years ago
A sporting goods store offers 40% discount on all golf clubs. Rocco spent 20% of the money in his savings account on a golf putt
MatroZZZ [7]

Answer:

Rocco doesn't have enough money to buy the golf irons

Step-by-step explanation:

step 1

Find the rest of the money left in the savings account

using proportion

\frac{\$48}{20\%}=\frac{x}{80\%}\\ \\x=48*80/20\\ \\x=\$192

step 2

we know that

The set of golf irons has an original price of $359

Applying 40% discount

100%-40%=60%=60/100=0.60

after the discount the price will be

0.60(\$359)=\$215.4

\$215.4> \$192

therefore

Rocco doesn't have enough money to buy the golf irons

7 0
3 years ago
The reflection of the point (4, 6) over the y-axis is:
Brums [2.3K]
(-4,6)
The x value changes bc since it is a reflection y cannot change and x becomes negative
8 0
2 years ago
Read 2 more answers
Determine whether the vectors u and v are parallel, orthogonal, or neither. u = (5,4) v = (-10,9)
12345 [234]

Answer:

Neither

Step-by-step explanation:

5 x -10 = -50

4 x 9 = 36

-50 + 36 = -14 and therefore can not be orthogonal

sqrt(25+16)=sqrt(41)

sqrt(100+81)=sqrt(181)

sqrt(41) x sqrt(181) is not equal to -14 so therefore it is not parallel

So the answer is then neither

6 0
3 years ago
Read 2 more answers
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