All categories

3 years ago

EFGH is a parallelogram. Find the measure of FG.

Mathematics

1 answer:

Elan Coil [88]3 years ago

4 0

Answer:

FG = 47

Step-by-step explanation:

The opposite sides of a parallelogram are parallel and congruent, thus

EH = FG, that is

5z - 18 = 3z + 8 ( subtract 3z from both sides )

2z - 18 = 8 ( add 18 to both sides )

2z = 26 ( divide both sides by 2 )

z = 13

Hence

FG = 3z + 8 = (3 × 13) + 8 = 39 + 8 = 47

You might be interested in

Three Texas drovers met on a highway and began to dicker as follows:

Alik [6]

Answer:

Jim's: 7
Duke's: 21
Hank's: 11

Step-by-step explanation:

Let J, D, and H represent the drove sizes of Jim, Duke, and Hank.

2(H -6 + 1) = (J +6 -1) . . . . . Hank's offer

3(D -14 +1) = (H +14 -1) . . . . Duke's offer

6(J -4 +1) = (D +4 -1) . . . . . . Jim's offer

These equations can be simplified to ...

2H - J = 15

3D - H = 52

6J - D = 21

Solution

Adding twice the second equation to the first gives ...

2(3D -H) +(2H -J) = 2(52) +(15)

6D -J = 119

Adding 6 times the third equation to this one gives ...

6(6J -D) +(6D -J) = 6(21) +(119)

35J = 245

J = 7

Using this value in the third equation gives ...

6(7) -D = 21

42 -21 = D = 21

Using the value of J in the first equation gives ...

2H -7 = 15

H = (15 +7)/2 = 11

Then the solution is (J, D, H) = (7, 21, 11).

Jim's drove had 7 animals; Duke's drove had 21 animals; Hank's drove had 11 animals.

5 0

2 years ago

A statement can help you organize the numbers to answer a question about percents

Semenov [28]

Answer:

$50 is 27.02% of $185.

Step-by-step explanation:

Money spent on clothing = $50

Money spent on Groceries = $100

Money spent on Gas = $35

Total money spent = $185

Our question is to find the percentage of total money that is spent on clothing.

Percentage money on clothing = $\frac{Money spent on clothing}{Total money}$ × 100

= $\frac{50}{185}$ × 100

= 27.02% (approx)

Hence, $50 is 27.02% of $185.

5 0

2 years ago

Read 2 more answers

When an article is sold for $132.00, a profit of 10% is made. The cost of the article is?

Orlov [11]

Answer:

118.8

Step-by-step explanation:

Profit=10%

=10/100 × $132

=$13.2

Cost price=Selling price- Cost price

=$132-$13.2

=$118.8

3 0

2 years ago

Find the volume of a pyramid with a square base, where the side length of the base is

nalin [4]

1689.32 hope this helps

6 0

2 years ago

Read 2 more answers

HELPP IS IT CORRECT IF NOT PLEASE SAY NUMBER 1 OR WHATEVER QUESTION IS WRONG

Marina86 [1]

Answer:

Step-by-step explanation:

8 0

3 years ago