The second angle of a triangle is twice as large as the first angle. The third angle is 35 greater than the second angle. How large is the first angle?

Answers

Answer 1

Answer:

  29°

Step-by-step explanation:

Let x represent the first angle. Then the second angle is 2x, and the third angle is 2x+35°. The sum of the angles is 180°, so we have ...

  x + 2x + (2x+35) = 180

  5x +35 = 180 . . . . collect terms

  x +7 = 36 . . . . . . . divide by 5

  x = 29 . . . . . . . . . . subtract 7

The first angle is 29°.


Related Questions

Which is bigger 1.30 or 1.3

Answers

Answer:

They are both exactly the same

Step-by-step explanation:

1.30000000000000000000000

is the same as

1.3

the 0s dont matter unless they are not at the end

How many feet are in 120 inches?
Enter your answer in the box.
ft

Answers

10 feet are in 120 inches

The required converted value is 10 feet, which is 120 inches into feet.

As we know that unit conversion is the process of converting a quantity from one unit of measurement to another. It refers to multiplying the given quantity by a conversion factor that blends the two proportional units.

To convert inches to feet, we use the conversion factor:

1 foot (ft) = 12 inches (in)

Therefore, to convert 120 inches to feet, we divide by the conversion factor:

120 inches / 12 in/ft = 10 feet

So, there are 10 feet in 120 inches.

Learn more about the unit conversion here:

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Maggie's brother is 4 years younger than three times her age. The sum of their ages is 16.
How old is Maggie?

Answers

Answer:

Maggie is 5 years old

Step-by-step explanation:

3M-4+M=16

add 4 to both sides

4M=20

Divide both sides by 4

20/4 = 5

M/Maggie is 5

PLEASE SOMEONE ANSWER MY QUESTION PLEASE!

Answers

Answer:

c

Step-by-step explanation:

i used my calculator

Drag a reason to each box to complete the proof

Answers

where’s the work????

You are buying tickets to a school event. You may purchase at most 8 tickets to receive a discount. Write an inequality to express the number of tickets you can buy with a discount.

Answers

8 is greater than or equal to x
(where x = the number of tickets)

or x is less than or equal to 8

ASAP! 15 POINTS




What is the end behavior of the graph?

Answers

Answer:

Your data decreased, because the end of the arrow points down, to show negative.

Hope this helps!

A softball pitcher makes 48 pitches in the first 3 innings of a game. She will be pitching four more innings, at the most. The team's pitching coach
allows her to throw a maximum of 100 pitches per game. Write and solve an inequality to find the average number of pitches p she can make in
each of the next four innings
O A. 48 + < 100; p < 208
OB. 48 + 4p < 100; p < 13
O C. 48 + 100; p > 208
O D. 48 + 4p > 100; p > 13

Answers

Answer:

b

Step-by-step explanation:

Two angles of a triangle measure 53. What is the measure of an exterior angle at each vertex of the triangle?

Answers

Answer:

53+53=106

180-106=74

74 + 53= 127 (answer 1)

53+53=106 (answer 2)

74+53=127 9answer 3)

The measure of each exterior angle is 106, 127, and 127 degrees if the two angles of a triangle measure 53.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have:

Two angles of a triangle measure 53:

The measure of the angles of a triangle:

53, 53, (180-53-53)

53, 53, 74 in degrees

As we know,

The sum of the two interior angles of a triangle is equal to the exterior angle:

Exterior angle(1st vertex) = 53 + 53 = 106 degrees

Exterior angle(2nd vertex) = 53 + 74 = 127 degrees

Exterior angle(3rd vertex) = 74 + 53 = 127 degrees

Thus, the measure of each exterior angle is 106, 127, and 127 degrees if the two angles of a triangle measure 53.

Learn more about the triangle here:

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The amount of food that there will be at the fiesta
The number of students who attend the fiesta
Identify the independent variable and dependent variable.

Answers

I think the independent variable is the number of the students who attend the fiesta and the dependent variable is the amount of food there will be at the fiesta

A manufacturer of household washing machines wants to determine the effectiveness of the type of detergent used (three brands – A, B, and C) and the length of time for the washing cycle (18, 20, and 22 minutes). The manufacturer prepared 18 standard household laundry loads (having equal amounts of dirt and the same total weight) to conduct the study. The manufacturer randomly assigned two loads to each type of detergent, time combination. The researcher recorded the amount of dirt removed. Use a 5% significance level, for all hypothesis tests and confidence intervals. What is the alternative hypothesis for testing the interaction?

Answers

Answer:

Two-Factor ANOVA with replication

Step-by-step explanation:

Types of detergent used ( A,B,C ) = 3

Length of time for the washing cycle : A = 18 mins, B = 20 mins, C = 22 mins

number of laundry loads = 18

significance level = 5%

The alternative hypothesis for testing the interaction is a Two-Factor ANOVA with replication this is because the factors that have variations are the : The type of detergent and the length of time for a washing cycle while the load is constant for all.

Rico buys a rectangular rug to put on his living room floor. The rug is 8feet long and 6 feet wide. What is the area of the floor that the rug will cover?

Answers

Answer:

48 square feet

Step-by-step explanation:

A = length x width. (A =lw)

So, 8 x 6 = 48

what’s the sum of g and -7

Answers

I don’t understand the question.

What is this question 23474+ 4749

Answers

Answer:

The answer to this is 23474 + 4749 = 28223

Step-by-step explanation:

Hope this helps :)

Answer:

Sum:: 28223

Step-by-step explanation:

If your referring to write it in question form::

What is the sum of 23,474 plus 4,749 ?

PLEASE HELP ILL GIVE BRAINLIEST IGNORE THE 6POINTS THATS JUST HOW MUCH ITS WORTH IN THE GRADEBOOK!!

Answers

Answer:

116°

Step-by-step explanation:

You just add angle FUV and angle TUF together bc they make up the angle TUV

Answer:

116

I'm not gonna explain it but yeah it's 116

What is the answer
Please help very urgent

Answers

Answer:

3

Step-by-step explanation:

The number of pages read varies directly as the number of minutes spent reading. After 20 minutes, Zack had read 12 pages. How many pages can Zack read in 35 minutes? Do not include units in your answer.

Answers

The answer is 21 pages.

First, make a proportion

12 pages x pages
—————— = ——————
20 minutes 35 minutes

Second, cross multiple

20x=420

Simplify by dividing both sides by 20

x=21 pages

Hope this helps!

Answer:

21

Step-by-step explanation:

2/3 plus 6 1/5
pls also thank you if you do and you get brainlist

Answers

The answer is 6 13/15

help asap please 25 points​

Answers

Answer:

a is 75.00 b is 12 meters above c is credit of 23.00

Step-by-step explanation:

When you multiply a number by 1/4

, the result is
A) 50% of the original number.
B) 400% of the original number.
C) four times the original number.
D) one-fourth the original number.

Answers

Answer:

The answer is D

Step-by-step explanation:

D . like quarters. if you have 4 that equals 1 dollar which is 100, so if you only have 1 quarter you only have 1/4 of the money.

The normal balance of an expense is a credit.
T or F?

Answers

Answer:

False

Step-by-step explanation:

Normal balance of expense is not a credit.

-12(23 – 17) - (-2) × 62​

Answers

Answer:

52

Step-by-step explanation:

Simplify the following:

-12 (23 - 17) - -2×62

| 1 | 13

| 2 | 3

- | 1 | 7

| 0 | 6:

-126 - -2×62

-12×6 = -72:

-72 - -2×62

-(-2) = 2:

-72 + 2×62

2×62 = 124:

-72 + 124

-72 + 124 = 52:

Answer:  52

What is the equivalent form of (x-2)2 -5x +3?

Answers

Answer: -3x-1

Step-by-step explanation: 2x-4-5x+3 collect the terms

                                            -3x-4+3

                                        answer -3x-1

f(x)=x^(2)-4x+32 is it true that it equals (0,32) on the y-intercept

Answers

Answer: Yes this equation is true.

How Do I know? Well, let's graph this and the answer is (0,32)

Answer:

Yes, it's true

What is the length of the hypotenuse of the triangle?

Answers

Answer:

It depends, you have to use the Pythagorean Theorem

explanation:

Answer:

If you have both legs, then you can use the PYTHAGOREAN THEOREM to find the value of the hypotenuse. a^2 + b^2 = c^2 ( a= leg, b = leg, c = hypotenuse)

Step-by-step explanation:

If you do not have a leg value, but you do have an angle measure, then you can use Sine or Cosine to find the hypotenuse. Sin = opposite/hypotenuse and Cos = adjacent/hypotenuse.

Let me know if you need further explaination!

The value of 7 in 17.92 is times as much value of 7 in 92.17

Answers

100
.. . . . . . . . .

The math club is selling gift wrap for a fumdraiser. They sold all 45 rolls of solid wrapping paper at $4 each and rolls of patterned wrapping paper at $5 each. If they made $265 how many rolls of patterned wrapping paper did they sell

Answers

Answer:

17 rolls

Step-by-step explanation:

4 x 45 = 180  

265-180 = 85      

85 ÷ 5 = 17  

hope this helps ;)

17 rolls of pattern rapping paper

urgent please help !!!!!

Answers

If all 3 angles of a Triangle MUST equal 180°, then we know that we use the equation (for this triangle) to find the angle measurements as (180-90)/2 which means we are dividing 90/2 which is 45° for each angle. But these angles are different measures, so we have to guess upon this and say that YOUR ANSWER IS D

the distribution of the diameters of douglas fir trees in a plot of national forest land is approximately normal with a standard deviation of 1.6 inches. how does the diameter of a douglas fir tree in the 28th percentile compared with the mean diameter

Answers

Answer:

1.0

Step-by-step explanation:

this is a aplication of the terms

There are 14 red marbles and 20 blue marbles in a bag of marbles.
A.
What is the ratio of red to blue marbles in simplest form?



Lemon pepper steppas

Answers

Answer:

7:10

Step-by-step explanation:

14/20= 7/10

Answer: 7:10 because it is what it is.

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