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Kipish [7]
3 years ago
9

What type of quadrilateral is DEFG? Select all that apply.

Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0

Answer:

B. parallelogram

Step-by-step explanation:

Given

See attachment for quadrilateral

Required

Select the type of quadrilateral

From the attached image, we have:

DE = FG -- Opposite, Parallel and Equal

EF = GD -- Opposite, Parallel and Equal

Since all 4 sides are not equal, then it is neither a square; nor a rhombus

<em>Hence, the shape is a parallelogram</em>

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It took Leo 3 hours to type a 4125-word essay. Sarah typed her 3800-word essay in 3 hours and 10 minutes. At these rates, how mu
scoray [572]

Answer:

Sarah would take 35 minutes longer than Leo to type 5500 word essay

Step-by-step explanation:

Let us solve the question

∵ It took Leo 3 hours to type a 4125-word essay

→ The rate is the number of words divided by the time

∴ Leo's rate = 4125 ÷ 3 = 1375 words/hour

∵ Sarah typed her 3800-word essay in 3 hours and 10 minutes

→ Change the 10 min to the hour by divide it by 60

∵ 3 hours 10 min = 3 + \frac{10}{60} = 3 + \frac{1}{6}  = 3\frac{1}{6} hours

∴ Sarah's rate = 3800 ÷ 3\frac{1}{6}  = 1200 words/hour

∵ Leo will type a 5500-word essay

→ Divide it by his rate to find the time taken

∴ Leo takes = 5500 ÷ 1375 = 4 hours

∵ Sarah will type a 5500-word essay

→ Divide it by her rate to find the time taken

∴ Sarah takes = 5500 ÷ 1200 = 4\frac{7}{12} hours

→ Find the difference between their times

∵ The difference = 4\frac{7}{12} - 4 = \frac{7}{12} hour

→ Multiply it by 60 to change to minutes

∴ The difference = \frac{7}{12} × 60 = 35 minutes

∴ Sarah would take 35 minutes longer than Leo to type 5500 word essay

3 0
3 years ago
Solve the question: 3(.5y-6)=12​
makvit [3.9K]

Answer:

y = 20.

Step-by-step explanation:

Distribute:

3(0.5y)-3(6)=12

1.5y-18=12

Add 18 to both sides:

1.5y-18+18=12+18

1.5y=30

Solve for y:

\frac{1.5y}{1.5}=\frac{30}{1.5}

y=20

6 0
3 years ago
The sum of 2 numbers is 100. Twice the first number plus twice the second number is 200. What are the numbers?
dlinn [17]

Answer:

50+50=100

100+100=200

Step-by-step explanation:

The sum of 2 numbers is 100. 50 x 2 = 100

Twice the first number plus twice the second number is 200.

50+50=100 so therfore 100+100 makes 200

6 0
3 years ago
Read 2 more answers
Jim wishes to buy 3 gifts that cost 15 dollars, 9 dollars, and 12 dollars. he has 1/4 of the money he needs, how much more money
Archy [21]
In order to solve this, you have to plug in all of the costs of the gifts and add them, which in all equals $36. since jim only has 1/4 of the money he needs to buy the gifts, you need to divide 36 by 4. this gives you 9, so now you know he has 9 dollars.
and to find out how much more money he needs, you can subtract 9 from 36 which represents a fourth of the required money. the answer is 27, that's how much jim needs in order to buy his gifts.
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What would tan(x) equal in this equation?
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Answer:

\tan {}^{ - 1} (0.83)  = 0.6928

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