What does R mean in this

Answer:

The measure of the vertex angle is 100°

Step-by-step explanation:

In Δ MNO

∵ Δ MNO is an isosceles triangle with base MO

∴ NM = NO

→ In an isosceles triangle, the base angles are equal in measures

∵ ∠M and ∠O are the base angles isosceles ΔMNO

∴ m∠M = m∠O

∵ m∠M = (3x + 10)°

∵ m∠O = (5x - 10)°

→ Equate their measures

∴ 5x - 10 = 3x + 10

→ Add 10 to both sides

∵ 5x - 10 + 10 = 3x + 10 + 10

∴ 5x = 3x + 20

→ Subtract 3x from both sides

∴ 5x - 3x = 3x - 3x + 20

∴ 2x = 20

→ Divide both sides by 2 to find x

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{20}{2}[/tex]

∴ x = 10

→ Substitute the value of x in the measures of ∠M and ∠O to find them

∵ m∠M = 3(10) + 10 = 30 + 10

∴ m∠M = 40°

∵ m∠O = 5(10) - 10 = 50 - 10

∴ m∠O = 40°

→ The sum of the measures of the interior angles of a Δ is 180°

∵ m∠M + m∠O + m∠N = 180°

∵ 40 + 40 + m∠N = 180

→ Add the like terms

∴ 80 + m∠N = 180

→ Subtract 80 from both sides

∴ 80 - 80 + m∠N = 180 - 80

∴ m∠N = 100°

∵ ∠N is the vertex angle of Δ MNO

∴ The measure of the vertex angle is 100°

Answer:

The length of PQ is 18 feet.

The length of PR is 18 feet.

The length of QR is 24 feet.

Step-by-step explanation:

A way to set an equation up for this problem is:

[tex]\frac{4}{3}x+x+x=60[/tex]

where x is the three lengths of the isosceles triangle, but the base QR is 4/3 the length of the other two congruent sides, length PQ and PR. The 60 represents the total length of the perimeter.

Then, solve for x from the equation, and you’ll get x=18. But your not done yet. Since the variable x in the equation stands for the sides of the isosceles triangle, so plug 18 into the equation and it should look like this:

[tex]\frac{4}{3}(18)+18+18=60[/tex]

Don’t solve the whole equation, just solve the [tex]\frac{4}{3}(18)[/tex] part of the equation, which is equal to 24. So the final equation is this:

[tex]24+18+18=60[/tex]

Conclusion: 24 is the length of QR, and 18 is the length of PQ and PR. And they all equal 60, which is the perimeter. This is very true because the length of PQ and PR are the same (length 18), since it’s an isosceles triangle, and the length of QR is 4/3 the length of PQ and PR (4/3 of 18= 24).

Sorry for the long explanation.

But hope this helps and answers your question :)

Answer: B. y = 5x + 10

Step-by-step explanation:

Based on the scenario in the question, you didn't really say what you'll like to calculate but I guess you want to know the equation that can be used to represent the above information.

Let x = the number of children babysit

The amount charged by Sandy can then be written as:

y = 10 + 5(x)

y = 10 + 5x

y = 5x + 10

Therefore, the correct option is B.

Answer:

If the length of x is less than 200, then add <.

If the length of x is more than 200, then add >.

If the length of x is 200, then add =.

Step-by-step explanation:

Answer:

There is no options this is unclear

Step-by-step explanation:

Answer:

where are the answer choices spongebob?

Step-by-step explanation:

Answer:

39 people

Step-by-step explanation:

15 percent *260 =

(15:100)*260 =

(15*260):100 =

3900:100 = 39

Plz Award Brainlest

Answer: 17 or 33 student of 6th grade

Step-by-step explanation: that how you do the math

Answer:

The slope is -2!

Step-by-step explanation:

Lets Solve!

3y +6x = 9

First we subtract 6x from both sides

3y = -6x + 9

Next we divide by 3 from both sides.

y = -2x + 3

The slope is -2!

Answer:

1.75=5n or 5n=1.75

Step-by-step explanation:

There are 5 n's on the bottoms so you are doing 5 times n (5n) and then 1.75 is on the top so the equation has to equal 1.75

Answer:

5n=1.75

Step-by-step explanation:

the image, the area of the tape diagram indicating 1.75 is equal to the sum of the areas of all five parts in the diagram such that each part indicates n.

here, we have assumed that  1.75 represents an area of the first rectangle , and n represents the area of each of the small rectangle

Answer:

A

Step-by-step explanation:

The solution is, The way to write the rule is: (x, y) is  (x – 3, y + 5).

A triangle which is on a coordinated plane is translated to the rule.

Two lines combine to generate the two-dimensional surface known as the coordinate plane. The x-axis is a single horizontal number line. The y-axis is the name of the vertical number line that is the other number line.

here, we have,

The original rule x and y coordinates

that are being moved to the left-hand side of the equation by

decreased by 3 units and rise up by 5 units.

Based on the information given,

we can come to the conclusion that other way to

write the given rule is

(x, y) is (x – 3, y + 5).

Hence, the other rule which are given are incorrect.

To learn more about coordinate plane :

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Answer:

11 and 8

Step-by-step explanation:

11+8=19

11-8=3

Answer:

8 and 11

Step-by-step explanation:

(0,-2) or just -2 is the correct y intercept you can find this by graphing it:)

Answer:

-2

Step-by-step explanation:

we always know that the y intercept is after the x part. for example, if it was

y = 5x + 3 the y intercept would be 3. in this equation, it's negative 2 because of the subtraction sign

Answer:

4/6

Step-by-step explanation:

hope this helps you

140 miles / 4 gallons = 35 miles per gallon.

35 x 5 = 175 miles

Answer:

The car would be able to drive 175 miles with 5 gallons of gas.

Step-by-step explanation:

Every gallon of gas would give you 35 miles of distance.

To do this you divide 140 by 4 which is 35 that means 1 gallon of gas is 35 miles.  

Add a extra gallon gas and also add the amount of distance the gas will give you (35 miles). Add that to 140 miles and then you get 175 miles.

For every 35 miles, I gallon of gas is used.

Hope this helps.

Answer:

255

Step-by-step explanation:

10n^2+5

where n=5

10×5²+5

10×25+5

250+5

255

The 5th term of Sequence is 255.

A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).

Given:

10n² +5

Now for 5th term put n= 5 we get

10n² +5

= 10(5)² +5

= 10 x 25 + 5

= 250+ 5

= 255

hence, the 5th term is 255.

Learn more about Sequence here:

https://brainly.com/question/21961097

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Answer:

0.04

Step-by-step explanation:

set up a proportion!

sorry if its sloppy, i did this on my laptop :/

Answer:

.48 cents for 1 oz

Step-by-step explanation:

You first take the 2.99 and divide by 62 to get your amount for 1 oz

Answer:

f(-2)= -4

Step-by-step explanation:

f(-2) = (-2)² +3(-2) - 2

f(-2) = 4 - 6 - 2

f(-2) = -4

Answer:

Step-by-step explanation:

One third

The centroid of a triangle divides each median.

The shorter segment is 1/3 and the length of the entire segment is 1

The centroid of a triangle divides the median in the following ratio

[tex]\mathbf{Ratio = 2 : 1}[/tex]

The fraction of the shorter segment is:

[tex]\mathbf{Short = \frac{1}{1 + 2}}[/tex]

[tex]\mathbf{Short = \frac{1}{3}}[/tex]

Hence, the shorter segment is 1/3, while the entire segment is 1.

Read more about centroids at:

https://brainly.com/question/11891965

Answer:

7 units down

Step-by-step explanation:

x+4

x-3

4-(-3) =7

The line will cut the y-axis at y = -3

The standard equation of a line is expressed as y = mx + b

where:

Given the equation y = -2x - 3, you can see that the slope is -2 and the y-intercept is -3.

This shows that the line will cut the y-axis at y = -3

Learn more on line graph here: https://brainly.com/question/14323743

Answer:

if it helps please mark brainliest!

Step-by-step explanation:

essays= x

quizzes=y

2x=60

x=30 1 essay per 30 days

4y=40

y=10 1 quiz every 10 days

120/30=4

120/10= 12

so 4 essays and 12 quizzes in 120 days

if it helps please mark brainliest!

Answer:

The answer is D

Step-by-step explanation:

Hope this helps! Please mark brainliest

Answer:

Points L, J, and K are collinear.

Step-by-step explanation:

brinlest plz

Answer:

ferns,gymnosperms, and flowering plants are all vascular plants

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

35

What is 50 percent (calculated percentage %) of number 70? Answer: 35.

Answer:

50%×70

REMOVE PERCENT BY DIVIDING WITH 100

=50/100×70

=0.5×70

=35 ANSWER

Answer:

I bedroom condo = $280

2 bedroom condo = $400

3 bedroom condo = $560

Step-by-step explanation:

Given that :

Total rental cost for all 3 condos = $1240

Let :

I bedroom condo = b

2 bedroom condo = c

3 bedroom condo = 2b

Hence,

b + c + 2b = 1240

3b + c = 1240 - - - (1)

REPAIR COST :

Total repair cost = $276

1 bedroom = 10% of b = 0.1b

2 bedroom = 20% of c = 0.2c

3 bedroom = 30% of 2b = 0.3 * 2b = 0.6b

Hence,

0.1b + 0.2c + 0.6b = 276

0.7b + 0.2c = 276 - - - (2)

From (2)

0.7b + 0.2c = 276

0.7b = 276 - 0.2c

b = (276 - 0.2c) / 0.7

Substitute b = (276 - 0.2c) / 0.7 into (1)

3(276/0.7 - 0.2c/0.7) + c = 1240

1182.8571 - 0.8571428c + c = 1240

1182.8571 + 0.1428571c = 1240

0.1428571c = 1240 - 1182.8571

0.1428571c = 57.1429

c = 57.1429 / 0.1428571

c = 400

3b + c = 1240

3b + 400 = 1240

3b = 1240 - 400

3b = 840

b = 840/3

b = 280

Hence,

I bedroom condo = $280

2 bedroom condo = $400

3 bedroom condo = 2(280) = $560

Answer:

192 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, let's convert 6 feet 3 inches to just inches. Because there are 12 inches in 1 foot, we can say that there are 72 inches in 6 feet. Combined with the other 3 inches, we can say that Marco is a 75 inches tall.

Now, we can multiply the number of inches we found by 2.54 to get Marco's height in centimeters. This gives us 190.5 cm.

Answer:(-5,-1) is not an ordered pair

Step-by-step explanation:

the ordered pair (-5,-1) is directly related to the variables (x,y) making -5=x and -1=y

so to figure out if the ordered pair is a solution you just plug in the number into their respective variable.

so the equation then becomes 2 (-5) - (-1) = -11

once you solve for the left part of the equation you are then left with -9 = -11 which we know is false.

Answer:

21x^2+3x+12

Step-by-step explanation:

−6x+7x+4x-3x-3y-2x+4x

−6x+7x+4x-3x-2x-+4x-3y

4x-3y

:)

Answer:

D.

Step-by-step explanation:

Answer:

the answer is d 64 because a rational number is a whole number not decimals.

Step-by-step explanation:

brainliest pls