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3 years ago

Please help!! Thank you !!

Mathematics

1 answer:

maxonik [38]3 years ago

8 0

Answer:

55 degrees

Step-by-step explanation:

Angle ACE and BDE are congruent so segments AC and BD are parallel. That makes angles CAE and DBE congruent.

6x - 15 = 5x - 1

x - 15 = -1

x = 14

So, the measure of angle BDE = 4x = 56 degrees. The measure of angle DBE = 5x - 1 = 69 degrees.

The total of all angles in triangle BDE is 180 degrees, so the measure of angle E = 180 - 56 - 69 = 55

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How many positive factors of 200 are divisible by 4?

Stella [2.4K]

Answer:

C. 6, D. 20, B. 18, B. 9

Step-by-step explanation:

#1. Factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100 & 200, of which 6 are divisible by 4 (4, 8, 20, 40, 100 & 200)

#2. Prime factors of 35 are 7 & 5, twice the sum of these factors, k = 24. k-4 = 20

#3. Non-multiples of 4 nor 5 between 16 and 45 are 17, 18, 19, 21, 22, 23, 26, 27, 29, 31, 33, 34, 37, 38, 39, 41, 42 & 43...thus 18 non-multiples

#4. Even factors of 120 greater than 1 and less than 40 are 2, 4, 6, 8, 10, 12, 20, 24 & 30...thus there are 9 even factors

3 0

3 years ago

Mona wants to run more than 60 miles this week. She ran a total of 24 miles during the first 4 days of the week. ... Line repres

andreyandreev [35.5K]

Answer: Rate > 12 miles/day

x > 12

She must run more than 12 miles each day

Mona wants to run more than 60 miles this week. She ran a total of 24 miles during the first 4 days of the week. Which number line represents the number of miles Mona must run each day if she wants to meet her goal?

answer choices

x ≥ 10

x = 12

x > 10

x > 12

Step-by-step explanation:

To complete more than 60 miles a week.

After running 24 miles during the first 4 days

We are left with (7-4) days = 3 days

And also,

(60-24) miles to complete the weekly target

> 36 miles (more than 36miles)

Therefore, the number of miles needed to cover per day in the next 3 days is given as.

Rate > distance/time

Rate > 36miles/3days

Rate > 12 miles/day

7 0

3 years ago

Laura lives 15 miles east of Kevin’s place. Kevin lives 8 miles south of Michelle’s place. How far does Michelle live from Laura

My name is Ann [436]

Answer:

17 miles.

Step-by-step explanation:

Let's define:

North as the positive y-axis

East as the positive x-axis.

We know that Laura lives 15 miles east of Kevin's place.

Kevin lives 8 miles south of Michelle's place.

So, if we define the origin, (0, 0) as Laura's place.

From:

"that Laura lives 15 miles east of Kevin's place."

We have that the location of Kevin's house is 15 miles west from Laura's place, then Kevin's house is at:

(0, 0) + (-15mi, 0) = (-15mi, 0)

From Kevin lives 8 miles south of Michelle's place, we know that Michelle's live 8 miles north of Kevin's place.

Then the location of Michele's house is the location of Kevin's plus (0, 8mi).

Michelle's house is located at:

(-15mi, 0) + (0, 8mi) =(-15mi, 8mi)

Now we want to find the distance between Michelle's house and Laura's house.

Michelle's house is at (-15mi, 8mi)

Laura's house is at (0mi, 0mi)

Remember that the distance between two points (a, b) and (c, d) is given by:

$D = \sqrt{(a - c)^2 + (b - d)^2}$

Then the distance between (-15mi, 8mi) and (0mi, 0mi) is:

$D = \sqrt{(-15mi - 0mi)^2 + (8mi - 0mi)^2} = 17mi$

The correct option is the first one, 17 miles.

6 0

3 years ago

100 POINTS!!!!! AND BRAINLIEST!!!!!!

Aleksandr-060686 [28]

Answer:

x = 6/3y+1

Step-by-step explanation:

x+3xy=6

Step 1: Factor out variable x.

x(3y+1)=6

Step 2: Divide both sides by 3y+1.

x(3y+1) / 3y+1

so x = 6/3y+1

6 0

2 years ago

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LuckyWell [14K]

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3 years ago

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