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3 years ago

Darnelle drew this figure and the accompanying equations.

Mathematics

1 answer:

kondor19780726 [428]3 years ago

4 0

Answer:

Option D. w + x = z

Step-by-step explanation:

see the attached figure to better understand the problem

we have

$w+x+y=180$ ----> equation A

$y+z=180$ ----> equation B

equate equation A and equation B

$w+x+y=y+z$

Subtract y both sides

$w+x=z$

This equation satisfy the Triangle Exterior Angle Theorem (An exterior angle of a triangle is equal to the sum of the opposite interior angles)

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Substitution for -3x+y=-9

shtirl [24]

Answer:

y=3x-9

Step-by-step explanation:

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3 years ago

Mr. Martin drove 290 miles last week This week he drove 125 miles more than last week. How many miles did Mr. Martin drive this

DanielleElmas [232]

Answer:

Mr. Martin drove 415 miles this week.

Step-by-step explanation:

The question says Mr. Martin drove 125 miles more than last week. How many miles did Mr. Martin drive this week?

How many miles did he drive last week?

Remember: 290 miles is the miles he drove last week.

The problem says he drove 125 miles AND 290 miles this week. So you take the SUM of them to see how many miles he drove together.

290 + 125 = 415

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3 years ago

£50 is worth €65 how many euros is £220 worth

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Answer:

£220 is worth €247

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3 years ago

The root mean square velocity of one mole of a monoatomic gas having molar mass M is U rms . The relation between average kineti

garik1379 [7]

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3 years ago

Mulder and Scully are driving to the same town. Mulder leaves the office at 9:30a.m. averaging 57mph. Scully leaves at 10:00a

koban [17]

Answer:

Scully will catch up with Mulder by 7:30 PM.

Step-by-step explanation:

Consider the provided information.

Mulder leaves the office at 9:30a.m. averaging 57mph.

Scully leaves at 10:00a.m., following the same path and averaging 60 mph.

Distance covered by Mulder between 9:30 AM and 10:00 AM:

$\frac{57}{2}= 28.5$ miles

Let t is the time taken by Scully to catch up with Mulder.

After leaving office Scully needs to cover extra distance of 28.5 miles because Mulder leaves the office earlier.

Therefore total distance cover by them is:

$28.5+57t=60t$

$28.5=60t-57t$

$28.5=3t\\t=9.5$

Hence, it would take 9 hours 30 minutes to catch up Mulder.

10 am + 9 hours 30 minutes = 7:30 pm

Therefore, Scully will catch up with Mulder by 7:30 PM.

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3 years ago