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2 years ago

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Sarah spends 1/6 hour vacuuming her mom's car. She spends 4 times as long washing the car. Then she spends twice as long waxing

the car as she does washing the car. What is the total amount of time Sarah spends vacuuming, washing, and waxing her mom's car?

1 answer:

juin [17]2 years ago

3 0

your answer will be 2 hours and 10 minutes

mark brainliest

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What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.

GalinKa [24]

Options

A. UV = 14 ft and m∠TUV = 45°

B. TU = 26 ft

C. m∠STU = 37° and m∠VTU = 37°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

E. m∠UST = 98° and m ∠TUV = 45°

Answer:

A. UV = 14 ft and m∠TUV = 45°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Step-by-step explanation:

Given

See attachment for triangle

Required

What proves that: ΔSTU ≅ ΔVTU using SAS

To prove their similarity, we must check the corresponding sides and angles of both triangles

First:

$\angle UST$ must equal $\angle UVT$

So:

$\angle UST = \angle UVT = 98$

Next:

UV must equal US.

So:

$UV = US = 14$

Also:

ST must equal VT

So:

$ST = VT = 20$

Lastly

$\angle TUV$ must equal $\angle TUS$

So:

$\angle TUV = \angle TUS = 45$

Hence: Options A and D are correct

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2 years ago

Why did the football coach send in his second string

lorasvet [3.4K]

Because his first string was tied up at the moment

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2 years ago

4(3+1/4c-1/2d) apply the distributive property to create a equivalent expression

Romashka-Z-Leto [24]

Answer iiiiiiis -2d+c+12

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2 years ago

Read 2 more answers

Jason Aldeen bought a house for $275,000. He made a down payment of 15%. The interest rate is 4.2% for 15 years.

Tpy6a [65]

Answer:

Step-by-step explanation:

Jason's down payment= $41250

Amount he needs to borrow is

275000-41250 = $233750

Jason's monthly payment would be

248476.25/180 = $1380.42

The original cost of the house that Jason Aldeen bought is $275,000. He made a down payment of 15%. This means he paid 15% of the original cost of the house. Therefore,

Jason's down payment is 15% of $275000

= 15/100 × 275000 =0.15×275000

=$41250

Since Jason's down payment is smaller than the original cost of the house, he would need to borrow.

Amount he needs to borrow is

275000-41250 = $233750

If Jason borrows $233750 at a rate of 4.2% for 15 years

Total interest on $233750 for 15 years will be

= (233750×4.2×15) /100

= 14726250/100 = $14726.25

Total amount to be paid for 15 years will be amount borrowed + interest

=233750 + 14726.25 = $248476.25

Converting 15 years to months,

15 × 12 months = 180 months.

Jason's monthly payment would be

248476.25/180 = $1380.42

3 0

1 year ago

Explain why a sample of 30 dentists from a large city taken to estimate the median income of all residents of that large city is

WARRIOR [948]

Answer: Because all individuals in the sample have the same job, so the sample is biased.

Step-by-step explanation:

Ignoring the fact that 30 is a small sample for a large city, we already know that all the people in the sample has the same profession.

Now, we can expect that two dentists win have around the same income, but not all the residents in the city are dentists

A lot of them work in fast food, others may be lawyers, others may be freelancers.

We have a lot of jobs where the income does not coincide with the average income of a dentist, so with the sample of 30 dentists we are not actually representing all the other possible jobs that there are in the city.

If we want a sample that represents the income of all the residents, we should have a random sample (so the sample is not biased, like in this case).

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2 years ago