In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third is 92° 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.

The measure of the first angle is ______
The measure of the second angle is _____
The measure of the third angle is _______

Answers

Answer 1

Answer:

The measure of first angle is 44°.

The measure of second angle is 22°.

The measure of third angle is 114°.

Step-by-step explanation:

First, you have to form expressions for the 3 angles. Let second angle be x :

First angle = (2x)°

Second angle = x°

Third angle = (92 + x)°

Next, you have to add up altogether as the total angles in a triangle is 180° :

2x + x + 92 + x = 180

4x + 92 = 180

4x = 180 - 92

4x = 88

x = 88 ÷ 4

x = 22°

Lastly, you have to substitute the x-value into the expressions :

First angle = 2(22) = 44°

Second angle = 22°

Third angle = 92 + 22 = 114°


Related Questions

Victor runs 3 laps around the track every 5 minutes. How long would it take to run 6 laps?

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I believe 10 Bc it says 3 laps every 5 min

The point (2,0) lies on the graph of the function y = 2x^2 - 8x + 6.
A. True
B. False

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To figure this out plug in 2 for x

y= 2(2)^2 -8(2)+6 = 2(4)-16+6 = 16 - 16 + 6 = 6

since y=6 and not 0, the answer is B (false)

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Step-by-step explanation:

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Answer:

1/144

Step-by-step explanation:

You multiply the top and bottom by itself because its to the second and you get rid of the negative because negative multiplied by a negative is positive

find the lengths of the missing side . Simplify all radicals !!!
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Answers

Answer:

[tex] e = 13\sqrt{2} [/tex]

[tex] f = 13\sqrt{2} [/tex]

Step-by-step explanation:

The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.

Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:

Finding e:

[tex] sin(\theta) = \frac{opp}{hyp} [/tex]

[tex] sin(\theta) = sin(45) = \frac{\sqrt{2}}{2} [/tex]

hyp = 26

opp = e = ?

Plug in the values into the formula

[tex] \frac{\sqrt{2}}{2} = \frac{e}{26} [/tex]

Multiply both sides by 26

[tex] \frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26 [/tex]

[tex] \frac{\sqrt{2}}{2}*26 = e [/tex]

[tex] \frac{\sqrt{2}}{1}*13 = e [/tex]

[tex] 13\sqrt{2} = e [/tex]

[tex] e = 13\sqrt{2} [/tex]

Since side e is of the same length with side f, therefore, the length of side f = [tex] 13\sqrt{2} [/tex]

A figure is made up of four congruent right triangles and a square as displayed.

What is the area, in square inches, of the figure?

Answers

Answer:

It would be 33² in.

Lisa bucket weighs 21kg after pouring out half it weigh 12kg what’s the wight of the bucket?

Answers

Answer:

Step-by-step explanation:

9kg

what are the slopes of the two lines?
green has two yellow dots.

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Answer:

-7(1/7) = -1

Step-by-step explanation:

I am actually dumb just help me please

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Answer:probably about 50 years

Step-by-step explanation:did for my family’s live oak

What is the standard form of 3.457

Answers

Answer:

3.457 is already in standard form.

Step-by-step explanation:

it’s 3.457 or you can write it as 3.457x10^0

what is 5 divided by 1 4/7

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3.18 is the answer i believe !

PLASE ANSWER THIS!! MARKING BRAINLEIST

Answers

1. 59049

2. a^12

3. 8a^6

4. 16a^ 10 b^6

5. 9a^4

6. s^6 t^12

7.  s^5 / t^5

8. 6561

9.  s^2 t^8 / r^2

10.  81a^2 b^6

The various steps of a food chain or web are known as ______. These explain where an organism sits on an ecological pyramid.

Answers

Answer:

Trophic Level

Step-by-step explanation:

The first trophic level is of producers (green plants). The second trophic level is of primary consumers also known as herbivores, third of carnivores, or secondary consumers, fourth is of tertiary consumers also known as top carnivores.

find the 13 term
7 la For the sequence 11,13,15,17​

Answers

well i don’t understand your question but the pattern is infinitely (+2) the next 3 terms are 19,21,23

PLEASE ANSWER THIS ASAP! SUPER EASY! PLEASE PLEASE WILL MARK YOU BRANLIEST!

Answers

the answer should be the second one

If P(E)=0,40,P(E or F)=0.55, and P/E and F)=0.20, find P(F).
P(F)-(Simplify your answer.)

Answers

Answer:

screeeeeeeeeeredc vbggrewdsc

Step-by-step explanation:cdscx de2wqsax

wewdsnswercwdsx

Answer:    P(F) = 0.35

==================================

Work Shown:

P(E or F) = P(E) + P(F) - P(E and F)

0.55 = 0.40 + P(F) - 0.20

0.55 = P(F) + 0.20

P(F) + 0.20 = 0.55

P(F) = 0.55 - 0.20

P(F) = 0.35

---------

note: Sometimes you may see the formula as

P(E and F) = P(E) + P(F) - P(E or F)

but it's an equivalent form to the first equation above.

potatoes - Samples: Assume the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces. He bags his potatoes in groups of 6. You buy a bag and the total weight is 42 ounces. Here we determine how lucky or unlucky you are. (a) What is the mean potato weight in your bag of 6

Answers

24 because 42 \ 6 is 24

What is 120 divided by 55

Answers

Answer:

2.2

..................

120/55

A linear function f models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5. Identify the slope, y-intercept, and x-intercept of the graph.
FULL EXPLANATION PLEASE.

Answers

Answer:

this is your question

Step-by-step explanation:

please mark as brainliest

The slope of the linear function would be 1/6, [y] - intercept will be equal to -5 and [x] - intercept will be equal to 1/30.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written to express proportional relationship as -

y = kx  {k is constant}

We have a linear function f(x) that models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5

Since the dependent variable decreases 3 units for every 2 units the independent variable increases, we can write -

3y = 1/2x

y = 1/6x

At [x] = 0, y = - 5

So -

y = (1/6)x - 5

Now -

slope = 1/6

[y] - intercept = - 5

y = 0 = (1/6)x - 5

(1/6)x - 5 = 0

1/6x = 5

x = 1/30

[x] - intercept = 1/30

Therefore, the slope of the linear function would be 1/6, [y] - intercept will be equal to - 5 and [x] - intercept will be equal to 1/30.

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2. Choose all numbers that are RATIONAL. *
1. 0
2. 5/7
3. 3.6820350285........
4. -10​

Answers

Answer:

0, 5/7, and -10 are RATIONAL numbers ⇒ 1, 2, 4

Step-by-step explanation:

Rational number are the numbers can be written in the form of the fraction [tex]\frac{a}{b}[/tex] , b ≠ 0

Example:

5, -3, 5.2 , -10.567, [tex]2\frac{1}{3}[/tex] , [tex]\sqrt{64}[/tex] , [tex]-\sqrt{\frac{25}{4}}[/tex] , [tex]\frac{\sqrt[3]{8}}{5}[/tex] , .......5 can be written as [tex]\frac{5}{1}[/tex]-3 can be written as [tex]-\frac{3}{1}[/tex]5.2 can be written as [tex]\frac{52}{10}[/tex]-10.567 can be written as [tex]-\frac{10567}{1000}[/tex][tex]2\frac{1}{3}[/tex]  can be written as [tex]\frac{7}{3}[/tex][tex]\sqrt{64}[/tex] can be written as [tex]\frac{8}{1}[/tex][tex]-\sqrt{\frac{25}{4}}[/tex] can be written as [tex]-\frac{5}{2}[/tex] [tex]\frac{\sqrt[3]{8}}{5}[/tex] can be written as [tex]\frac{2}{5}[/tex]

All the numbers above are rational numbers

Let us find the rational numbers in our question

∵ 0 can be written as [tex]\frac{0}{1}[/tex]

0 is a rational number

∵ [tex]\frac{5}{7}[/tex] is a fraction

[tex]\frac{5}{7}[/tex] is a rational number

∵ 3.6820350285........ can not be written in the form of the fraction

   because we do not know its end (it is an approximated number)

∴ 3.6820350285........ is not a rational number

∵ -10 can be written as [tex]-\frac{10}{1}[/tex]

-10 is a rational number

0, 5/7, and -10 are RATIONAL numbers

Evaluate the variable expression when a = 5, b = 5, and c = -4.
Bc divided by (2a)

Answers

Answer:

-2

Step-by-step explanation:

Bc÷2a

5×-4÷2×5

-20÷10

-2

The value of the expression bc ÷ 2a will be negative 2.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A principle that specifies the right procedure to follow while calculating a mathematical equation is known as the activities to be conducted.

PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

The value of the variable expression when a = 5, b = 5, and c = -4.

The expression is given below.

⇒ bc ÷ 2a

Substitute the value of the variable a = 5, b = 5, and c = -4.

⇒ 5 × (-4) ÷ 2 × 5

Simplify the expression, then the value of the expression will be

⇒ - 20 ÷ 10

⇒ - 2

The value of the expression will be negative 2.

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If the length of a rectangle is 3x+2 and the width is 2(x+4) what is the value of x
Explanation

Answers

Answer:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides.

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

3x+2=2(x+4)

3x+2=2x+8

3x=2x+6

X=6

Jkjjujzjzjdjfjfjjfd find f f f v. G f ddbdjfksid difícil de djkdkdid dijfndndidi diske

Answers

;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-;

......................;-;

Find the quotient:

_________________
x - 4 ) x^3 + 2x^2 – 16x - 32

Answers

Step-by-step explanation:

x-4)x³+2x²-16x-32(x²+6x+8

x³-4x²

- +

____________

6x²-16x-32

6x²-24x

- +

_________

8x-32

8x-32

- +

_____

X X

______

Hence,

The quotient is x²+6x+8.

What is pi/π used for in math?

Answers

Its used to find the area and circumference of a circle

Answer:

It is the 16th letter of the Greek alphabet

Used to represent the mathematical constant.

Pi is the ratio of the circumference/diameter.

Hope this helps you!

Prove the following statement directly from the definitions. The difference of any two rational numbers is a rational number. Proof: Suppose r and s are any two rational numbers. By definition of rational, r

Answers

Answer:

- Integers, b ≠ 0 and d ≠ 0.

- r - s = (ad - bc)/bd.

- products and differences of integers are integers.

-  zero product property

- quotient.

Step-by-step explanation:

Rational numbers are integers that can take the form of numerator divided by a denominator, that is to say in the form of 'a/b;. So, we are given from the question or problem to prove and fill in the gap the correct information or data:

For the first part of the question:

The missing data in the gap = Integers; b ≠ 0 and d ≠ 0. That is to say the denominators can not be zero or say that the denominators are non zero. This is one of the properties or let us say one of the ways of identifying a Rational number.

For the second part:

The missing data in the gap = a/b - c/d =  (ad - bc)/bd. This is the representation in  a simplified form.

For the third part:

The missing data or information = products and differences of integers are integers.

For the fourth part:

The missing data or information: zero product property, that is to say the product of the numerators is not equal to zero, or it is non zero.

For the fifth part:

The missing data or information: quotient.  r - s is a quotient of two integers.

What is 4 1/4 ÷ 4 1/2

Answers

Answer:

Your answer is going to be 17/18.

Step-by-step explanation:

You are going to put the fractions in improper form, giving you 17/4 and 9/2. Then you are going to use the saying KCF Keep Change Flip.

(17/4)(2/9)

34/36

17/18

a chemical change creates a new

Answers

Answer:

A new substance with new and different physical and chemical properties.

Step-by-step explanation:

Chemical reactions involve combining different substances. The chemical reaction produces a new substance with new and different physical and chemical properties. Matter is never destroyed or created in chemical reactions. The particles of one substance are rearranged to form a new substance.

If you find my answer helpful

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an inspector tested the first 125 radios that came off the production line today and found only 60% acceptable. After the inspector tested 25 more radios, the overall percentage of acceptable radios rose to 62%. The number of these 25 radios that were rejected is???

Answers

Answer: 7 radios

Step-by-step explanation:

The following can be deduced from the question:

Number of radios tested = 125 radios

Percentage acceptable = 60%

Numbers acceptable:

= 60% × 125

= 0.6 × 125

= 75 radios

Numbers rejected = 125 - 75 = 50 radio

We are further told that the inspector tested 25 more radios, this will be:

Number of radios tested

= 125 + 25 = 150 radios

Percentage acceptable = 62%

Numbers acceptable

= 62% × 150

= 0.62 × 150

= 93 radios

Numbers rejected= 150 - 93 = 57 radios

The number of these 25 radios that were rejected will be:

= 57 - 50

= 7 radios

If the independent variable becomes very large what would be the expected change in the dependent variable

Answers

Answer: The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. ... The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.

Step-by-step explanation:

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