In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 80° more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle. what is the measure of the first angle?​

Answers

Answer 1

Answer:

The measure of the first angle is 50°.

Step-by-step explanation:

Let the three angles be a, b, and c.

The measure of the first angle is twice the measure of the second angle. In other words:

[tex]a=2b[/tex]

The measure of the third angle is 80° more than the measure of the second angle. In other words:

[tex]c=b+80[/tex]

And since the interior angles of a triangle must equal 180°:

[tex]a+b+c=180[/tex]

Substitute a and c:

[tex](2b)+b+(b+80)=180[/tex]

Combine like terms:

[tex]4b+80=180[/tex]

Subtract 80 from both sides:

[tex]4b=100[/tex]

And divide both sides by four:

[tex]b=25^\circ[/tex]

So, the measure of the second angle is 25°.

Since the measure of the first is twice the second, the measure of the first angle is 50°.

(And since the measure of the third is 80° than the second, the measure of the third angle is 105°.)


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Which temperature is warmer, -8 degrees Celsius, or -20 degrees Celsius?

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Answer:

-8 degrees Celsius is warmer

Answer:

-8 degrees C.

Step-by-step explanation:

approximate 10.56 to the nearest whole number​

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Answer:

11.

Step-by-step explanation:

As the first decimal place is 5 we round up the whole number.

Answer:

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Step-by-step explanation:

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Point M is located at (3,-2) on the coordinate plane. Point M is reflected over the
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The answer would be (3,2) because you would do (x,-y)

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Answer:

H

Step-by-step explanation:

y= (1)x-3

Positive gradient, and the y intercept for the graph is -3, F is not the answer, the Y intercept is not -3.

Slope and equation, how much battery does she lose an hour

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Equation: y=-5x+100, where x is the number of hours and y is the battery percentage
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The sky ride at an amusement park spans 2,715 feet. Over the course of the day,
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C. 19,005 feet
D. 21,000 feet
Whoever answers this then there gonna get Branliest

Answers

Answer:

C. 19,005 feet

Step-by-step explanation:

[tex] \begin{array}{ccc} \rm 1 \: time \: ride \implies \: 2175 \: feet\\ \rm 7 \: times \: ride \implies 2175 \times 7 = 19005 \: feet\end{array}[/tex]

hence,

our answer is C)

Answer:

Solution given:

1times ride[tex]\rightarrow: [/tex]2715ft

7 times ride[tex]\rightarrow:[/tex]2715*7=19005ft

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3
Solve for x.
X =
8
20
35

Answers

Answer:

x=00

Step-by-step explanation:l

nnm

My mom is making me do prayice and i need the answer for this thanks very much

Answers

4 is an even number

(b) A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 4 to 19. What is the probability of a successful call

Answers

Answer:

0.1739 = 17.39% probability of a successful call.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The odds of making a sale on a single call are 4 to 19.

This means that in 4 + 19 = 23 calls, 4 are successful.

What is the probability of a successful call?

[tex]p = \frac{4}{23} = 0.1739[/tex]

0.1739 = 17.39% probability of a successful call.

A: A
B: B
C: C
D: D

Show work!

Answers

Answer: A

Step-by-step explanation:

Area of a triangle is base times height

We have a base made by point m and n with a length of 6

now the third point has to form a height which when put with the base, gets you 18

area of triangle is bh/2

so lets set height as h, 6x/2 = 18 6x = 36 x = 6

This means the point has to be 6 apart either left or right. Only point that matches this is a.

Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of __________.

Answers

Answer: -1

Step-by-step explanation:

Just took the test

,and the equation is y=-1x+5, so the change of x is -1

Answer:

The answer is -1

Step-by-step explanation:

Find the slope of the line passing through the given points?
(-11,7) and (-11, -2)

Answers

Answer:

oo (infinite)

Step-by-step explanation:

the slope = (-2-7)/(-11+11) = -9/0 = oo

(infinite)

Plzzz help I don’t have a lot of time

Answers

Answer:

7

Step-by-step explanation:

It’s a right angle, so you can add the two expressions togther to get 90, then isolate x.

(8r-6)+(5r+5)=90

13r-1=90 (combine like terms)

13r-1+1=90+1 (add 1, addition property of equality)

13r=91

13r/13=91/13

r=7

On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).
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Answers

the answer is 4,13 of the perimeter

PLEASE HELP ME WITH THIS

Answers

9514 1404 393

Answer:

  3. $0.45

  4. 50%

  5. -5°, -1°, 1°, -2°, 5°

Step-by-step explanation:

3. The difference in tip amounts is ...

  15%($25) -15%($22) = 15%($25 -22) = 15%($3.00) = $0.45

  Jasmine paid $0.45 more tip than Candice.

__

4. If 25% were sick, then the crew that showed up was 75% of the full crew. If 1/3 of those 75% went home early, then the remaining (2/3)(75%) = 50% were the fraction working at the end of the day.

__

5. The Fridays in January were Jan 2, 9, 16, 23, and 30. The middle of the month was the 16th. For something like this, it can help to read through a couple of times, as the relations are not given in a way that gives a solution without skipping around.

We are given that the temp on the 30th was 5°, and that the 23rd was 7° less, so -2°. The low on the 2nd was 3° lower than on the 23rd, so was -5°. The temp on the 16th was 6° higher than on the 2nd, so was -5+6 = 1°, and the temp on the 9th was 2° lower than that, so -1°.

The low temperatures were ...

2nd: -5°9th: -1°16th: 1°23rd: -2°30th: 5°

factorise a2-17a+42

Answers

Answer:

(a-14) (a-3)

Step-by-step explanation:

Answer:

(a - 14) (a - 3)

Step-by-step explanation:

a² - 3a - 14 a + 42

a(a - 3) - 14 ( a - 3)

(a - 14) (a - 3)

please yelp me find the area

Answers

I can’t see the numbers can you comment them?
the area is 144.

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Change 10 miles per hour to meters per second (hint: you'll need to
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Answers

Answer:

10 miles per hour = 0.1862 meter per second

Step-by-step explanation:

Given

Speed in miles per hour = 10 miles per hour

As we know

1 mile = 1609.34 meters

and 1 hour  = 24*60 *60 seconds

Thus, 10 miles per hour in meter per second would be

10 * 1609.34/24*60 *60

= 0.1862 meter per second

Find the value of 'x​

Answers

Answer:

x = 16

Step-by-step explanation:

The sum of the angles of a triangle are 180

128+ 2x-3 +23 = 180

Combine like terms

2x+148=180

Subtract 148 from each side

2x+148 -148 = 180-148

2x = 32

Divide by 2

2x/2 = 32/2

x =16

Please I need help in finding the diameter

Answers

Answer:

im pretty sure its 152, im sorry if im wrong, i took 180 and subtracted 180 - 16 - 12 and got that soooo

Step-by-step explanation:

Please help me no links!!

Answers

Answer:

Slope is -3

y-intercept is -3 and equation is y=-3x-3

Answer:

Slope: -3

y-intercept: -3

Equation: y = -3x - 3

Step-by-step explanation:

1. To get the slope (m):

m = rise / run = -3 / 1 --> it's negative 3 since the slope is going downwards

2. the y-intercept is the point that crosses the y-axis or when the x point is 0, so (0, -3)

3. Put is all together: y = -3x - 3

How many different ways may a set of 4 books be arraged side by side on a shell?

Answers

Answer:

24

Step-by-step explanation:

4 * 3 * 2 * 1 = 24

Identify which shapes are similar to shape A and which are not.​

Answers

Answer: Shape 3 and Shape 2

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Answers

Answer:

C

Step-by-step explanation:

All others can be proved false.

Find the point on the terminal side of θ = three pi divided by four that has a y coordinate of 1. Show your work for full credit.

Answers

Answer:

Remember that tan=y/x from your notes from module 4.

Step-by-step explanation:

Refer to the unit circle to see the relationship between x and y at that angle, it is -1. Now you can set up your equation of tan=1/x and solve for x.

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Answer:

-1/1

Step-by-step explanation:

Jeff can build 7 birdhouses in 5 hours. Use a
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Answers

Answer:

21 hours

Step-by-step explanation:

We can use a ratio to solve

7 houses       30 houses

-------------  = --------------

5 hours         x hours

Using cross products

7x = 5*30

7x = 150

Divide by 7

7x/7 =150/7

x =21.42857143

Rounding to the nearest whole number

x = 21 hours

what that two numbers when multiplied give 600 and when added give 59 ​

Answers

Answer:

Step-by-step explanation:

Let the 2 numbers be x and y

From the problem we have that

x * y = 600 and x + y = 59

From x + y = 59 -> x = 59 - y

Plug x = 59 - y to x * y = 600 we have

(59 - y) * y = 600

-> 59y - y^2 = 600

-> -y^2 + 59y - 600 = 0

-> y = [tex](59 - \sqrt{1081})/2[/tex] or [tex](59 + \sqrt{1081})/2[/tex]

Then we could plug the answers in and find x because x = 59 - y

What is the solution of the equation, 8y = 4?

A. y = 1/2

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Answers

Answer: A, which is y = 1/2

Step-by-step explanation: To find the value of y, you would need to divide both of the sides by 8. This makes it so that 8y turns into just y. After you do this, you would find an answer of y = 1/2. Hope this was helpful! :)

Answer:

y = 1/2

Step-by-step explanation:

8y = 4

Divide each side by 8

8y/8 = 4/8

y = 1/2

Write the prime factorization of 4

Answers

Answer:

2 x 2

Explanation:

The prime numbers that multiply to 4 are 2 and 2.

2 x 2 hope this helps

Which algebraic expression has a term with a coefficient of 9? O A. 6(x + 5) O B. 6x - 9 O C. 6+ x - 9 O D. 9x=6​

Answers

Answer:

D is the answer to your question

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