A triangle has an angle that measures 50 degrees. the other two angles are in a ratio of 3:10. What are the measures of those two angles

Answers

Answer 1

Answer:

100 degrees, 30 degrees

Step-by-step explanation:

Write an expression for the measures of the other two angles:

one angle = 3x

other angle = 10x

These are in the ratio 3:10, but you don't know the value of x YET!

Fact: all 3 angles sum to 180 degrees.

50 + 3x + 10x = 180

50 + 13x = 180

13x = 130

x = 10

Now plug this value into the two expressions for the angle measures.

one angle = 3(10) = 30 degrees

other angle = 10(10) = 100 degrees


Related Questions

This is a pic of my question.. ​

Answers

Answer:

The answer is c

Step-by-step explanation:

5x+3y=19

multiply x 2: 10x+6y=38

2x-4y=-8

multiply by -5: -10x+20y=40

now you can add the two equations:

                    10x+6y=38

                    -10x+20y=40

add equations 0x+26y=78

                               Y=3

Pls help im confused

Answers

Answer: 30

Step-by-step explanation: Count all the x's on the right side of 0

There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, replace it, and then randomly
select another card. What is the probability that the first card is an even number and the second card is less than 3?
Write your answer as a fraction in simplest form.

Answers

Answer:

1/10.

Step-by-step explanation:

The probability of getting an even card out of 10 cards numbered 1 - 10 is 1/2. The even numbers available are 2, 4, 6, 8, and 10 while the odd ones available are 1, 3, 5, 7, and 9. So half the outcomes could come out even.

The probability the second card is less than two is 1/5 (2/10 simplified). Since there are 10 cards with numbers 1-10, only two cards will have numbers less than 3, 1 and 2.

To find the total probability, multiply the two. (1/2) * (1/5) = 1/10. There is a 1 out of 10 chance that the first card is even and the second card is less than 3.

What is the slope of the line passing through the points (-5, -4) and (-1, 6)?
A.2/5
B.-5/2
C.-2/5
D.5/2

Answers

Answer:

5/2

Step-by-step explanation:

If (2x^2-5x+7)-(4x^2+2x-11), what is the result?

Answers

Answer:

- 2x² - 7x + 18

Step-by-step explanation:

Given

(2x² - 5x + 7) - (4x² + 2x - 11) ← distribute parenthesis

= 2x² - 5x + 7 - 4x² - 2x + 11 ← collect like terms

= - 2x² - 7x + 18

91 is 10% of what number?
would i get the answer of : 91 already rounded to the nearest hundredths??? these formulas are confusing me help (using proportions to solve percent)

Answers

91 is 10 percent of 910

Sketch a graph of a function that has all of these properties:

The AROC on [-3,0] is -2 and the AROC on [1, 3] is 0.5.
The IROC at x=1 is -1 and the IROC at x=2 is 1.

AROC means average rate of change
IROC means instantaneous rate of change​

Answers

How are we supposed to make a graph?

Fill in the table using this function rule.
y=2+4x

Answers

Answer:

I'm sorry im not sure :-(

Step-by-step explanation:

Describe a circumstance where there would NOT be both a positive and a negative solution, when finding the square root.​

Answers

Answer:

If the value of the discriminant is equal to zero

If the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.​

What is square root?

The square root is the number with a power of 1/2 we can also say that by taking the square root we can find the original value of the number.

So from the condition given in the question that:-

There would NOT be both a positive and a negative solution, when finding the square root.​

So if the number is zero then there will not be both a positive and a negative solution, when finding the square root.​

=  √0 = ± 0 = 0

Hence the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.​

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A regular polygon has

Answers

Answer:

angles that are all equal and sides that all have the same length

Step-by-step explanation:

Answer:

A polygon is any shape with at least three straight sides,

and angles. It can only have straight sides and has to be closed.

Step-by-step explanation:

A polygon is any shape with at least three straight sides,

and angles. It can only have straight sides and has to be closed.

Alica created a portrait that is 10 inches wide and 13 inches long she wants to put a frame that is 2 1/4 wide on each side

Answers

Answer:

[tex]A_f=470ft[/tex]

[tex]P_f=88ft[/tex]

Step-by-step explanation:

From the question we are told that:

Width of Portrait [tex]w=10inches[/tex]

length of Portrait [tex]l=13inches[/tex]

Frame each [tex]l_W=21/4inch each[/tex]

 

Generally the equation for area of portrait A is mathematically given by

[tex]A=w*l\\A=10*13\\A=130m^2[/tex]

Generally the equation for Perimeter of portrait is mathematically given by

[tex]P=2(w+l)\\P=2(10+13)\\P=46m[/tex]

Generally the equation for area of portrait  with frame is mathematically given by

[tex]A=w_f*l_f[/tex]

where

w_f=width of portrait with frame

[tex]w_f=2*21/4+w\\w_f=2*21/4+10\\w_f=20.5ft[/tex]

l_f=Length of portrait with frame

[tex]l_f=2*21/4+l\\l_f=2*21/4+13\\l_f=23.5ft[/tex]

Therefore Area of picture with frame

[tex]A_f=w_f*l_f[/tex]

[tex]A_f=20.5*23.5[/tex]

[tex]A_f=470ft[/tex]

Generally the equation for Perimeter of portrait is mathematically given by

[tex]P_f=2(w_f+l_f)\\P_f=2(20.5+23.5)\\P_f=88ft[/tex]

Round 33.825 to the nearest hundredths in place

Answers

Answer:

33.83

Step-by-step explanation:

Answer:

33.83

^Hope this helps, Hazel^

PLZ HELP FAST!!
Which is a condition needed to apply Cavalieri’s Principle to compare the volume of two solids? Select all that apply.

Both solids have a square base
Both solids are spherical
Both solids have the same height.
Both solids have the same base area.
Both solids have the same base shape.

Answers

Cavalieri's principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the respective bases, then the two solids have equal volume.

Theo, Nancy, and Mary each drove separately to meet at their grandmother's house for dinner. Theo drove 50 miles, Nancy drove √2,840 miles, and Mary's route is shown below. A right triangle with side lengths 48 miles and 13 miles. The hypotenuse is labeled Mary's Route. Approximately how many miles did Mary drive to her grandmother's house? Order the distances that each family member drove to their grandmother's house from least to greatest.

Answers

Answer:

The distance between Mary's house and her grandmother's house is approximately 49.73 miles.

The 3 traveled the following distances:

Theo rode 50 miles, Mary drove 49.73 miles, and Nancy drove 53.299 miles.

Step-by-step explanation:

Mary's route is indeed the hypotenuse of a given triangle, that has a 13-mile adjacent hand and a 48-mile wrong side. They can solve for the length of the other side of the triangle using Pythagoras' theorem because we have two sides of the triangle.

Let us just say that triangle's ellipse is x square miles. Pythagoras's theory stated that

[tex]x = \sqrt{(13^2 + 48^2)} \\\\[/tex]

  [tex]= \sqrt{169 + 2,304} \\\\ = \sqrt{2,473}\\\\ = 49.729\\[/tex]

Mary's route was 49.73 square miles, to sum it up.

Nancy drove [tex]\sqrt{2,840} \ miles = 53.2916 \ miles[/tex]

As a result, Mary rode the shortest distance of 49.73 miles, Theo drove 50 miles, and Nancy drove 53.299 miles.

Answer:

49.73

Mary, Theo, Nancy

Step-by-step explanation:

Approximately how many miles did Mary drive to her grandmother’s house?

✔ 49.73

Order the distances that each family member drove to their grandmother’s house from least to greatest.

✔ Mary, Theo, Nancy

그 기 . 1 1 키 Which normal distribution has the greatest standard deviation? O O 80 88 104 112​

Answers

Answer:

그 기 = That Flag

키 = Key

I think it is 112.

Step-by-step explanation:

Sandy bought a soft drink for 2 dollars and 5 candy bars. She spent a total of $12. How much did each candy bar cost?

Answers

Answer:

If Sandy bought a soft drink for 2 dollars that's 2 dollars subtracted from the total of $12.00 spent

If we have 10 dollars and bought 5 candy bars we would divide so 10 divided by 5 = 2 so each candy bar costed $2 dollars

you have 11 art projects that weigh 24 pounds. If you give you mom 7 of your art projects, how much would her box weigh?

Answers

The weight for mom's boxes is obtained as 41.41 pounds.

What is weight?

Weight gauges how much gravity is pulling on a body.

The weight formula is provided by -

w = mg

Since weight is a force, it has the same SI unit as a force, which is the Newton (N).

Use a proportion to solve this problem.

Since the weight of the art projects is directly proportional to the number of art projects, we can set up the following proportion -

weight of 11 art projects / 11 = total weight / 24

Solving for the total weight -

total weight = (weight of 11 art projects / 11) x 24

total weight = 2.18 x 24

total weight = 52.32 pounds

So the total weight of the 11 art projects is 24 pounds, and if mom gets 7 of them, 4 art projects will be left weighing a total of -

weight of 4 art projects = (weight of 11 art projects - weight of 7 art projects)

weight of 4 art projects = (24 - (7/11) x 24)

weight of 4 art projects = 10.91 pounds

So, mom would be receiving 7 art projects weighing a total of -

weight of 7 art projects = (total weight - weight of 4 art projects)

weight of 7 art projects = (52.32 - 10.91)

weight of 7 art projects = 41.41 pounds

Therefore, mom's box would weigh 41.41 pounds.

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Please help fast!

Solve 2/3x-1/5>1

X>?

Answers

Answer:

x > 9/5

Step-by-step explanation:

2/3 x - 1/5 > 1

15 × 2/3x - 15 × 1/5 > 15 × 1

10x - 3 > 15

10x > 18

x > 18/10

x > 9/5

PLS HELP ME THIS IS Probability (Single event) PLS HELP ME

Answers

Answer:

6/7

Step-by-step explanation:

Help
Construct a problem that is written in exponent form then explain the steps to converting a problem from exponent to radical form.

Answers

Step-by-step explanation:

Radicals and fractional exponents are alternate ways of expressing the same thing. ... These examples help us model a relationship between radicals and rational ... Problem. Write as an expression with a rational exponent. The radical form can be ... Change the expression with the rational exponent back to radical form.  

Two angles are vertical angles. If one of the angles measures 35º and the other measures (4x+3)º, which algebraic equation can be used to solve for the value of x?

35 + 4x + 3 = 180

35 + 4x + 3 = 90

35 = 4x + 3

None of these are correct

4x + 3 = 90

Answers

35 = 4x+3

If they're vertical then they're worth the same or equal. So 4x+3 is equal to 35 and then you solve for x from there.

How to solve (7.1 × 10−5)(6.7 × 10−6)??


Please help by giving step-by-step explanations.

Answers

Popular Problems Algebra Evaluate Using Scientific Notation (7.1*10^-5)(6.7*10^-6)

(

7.1

10

5

)

(

6.7

10

6

)

Group coefficients together and exponents together to multiply numbers in scientific notation.

(

7.1

6.7

)

(

10

5

10

6

)

Multiply

7.1

by

6.7

.

47.57

(

10

5

10

6

)

Use the power rule

a

m

a

n

=

a

m

+

n

to combine exponents.

47.57

10

5

6

Subtract

6

from

5

.

47.57

10

11

Write

47.57

10

11

in proper scientific notation.

4.757

10

10

Answer:

4026

Step-by-step explanation:

Remember PEMDAS:

P - parenthesis

E - exponents

MD - Multiplication and Division (Left to Right)

AS - Addition and Subtraction (Left to Right)

------------------------

Start off by doing the parenthesis (7.1 x 10-5)

We must perform multiplication first so 7.1 x 10 is 71. From there you subtract 5 so 71 - 5 is 66!

So far we have: 66(6.7 x 10-6)

But we aren't done yet!

You must solve (6.7 x 10-6)

Same goes here, multiplication is done first so we would do 6.7 x 10 which is 67. Next, 67-6 which is 61.

We now have (66)(61)

When there is no sign of multiplication or division and the numbers are next to each other like this, you perform multiplication. So, 66x61 is 4026.

Thus, the answer is 4026!

P.S please mark brainiest, this took time <3


-0.3x2 + 2x + 3
What is this equation in a table ?

Answers

Answer:

Here

Step-by-step explanation:

Just pick numbers and substitute it into the equation for x

what expressions from the table are equivalent to that expression ?

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The applicable rules of exponents are ...

  [tex]\displaystyle\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\(x^a)^b=x^{ab}\\\\(xy)^a=x^ay^a[/tex]

Yes
Yes
No
Yes
Yes
This is the order. I got it correct.

find the solution of given expression

[tex] \sqrt{9 \times 36} [/tex]

Answers

Answer:

solution given:

[tex] \sqrt{9 \times 36} [/tex]=[tex] \sqrt{3² \times 6²} [/tex]=±(3×6)=±18 is your answer

The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.

What percent of the scores were below 66?

What is the probability that a student earned a score between 66 and 86?

Answers

Answer:

a) 15.866%

b) 0.68268

Step-by-step explanation:

The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.

We solve the above question using z score formula

= z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 76

σ is the population standard deviation = 10

a) What percent of the scores were below 66?

x < 66

Hence,

z = 66 - 76/10

z = -1

Probability value from Z-Table:

P(x<66) = 0.15866

Converting to Percentage =

0.15866 × 100

= 15.866%

b) What is the probability that a student earned a score between 66 and 86?

For x = 66

Hence,

z = 66 - 76/10

z = -1

Probability value from Z-Table:

P(x≤ 66) = 0.15866

x = 66 = 0.15866

For x = 86

Hence,

z = 86 - 76/10

z = 1

Probability value from Z-Table:

P(x≤ 86) = 0.15866

x = 66 = 0.15866

Probability value from Z-Table:

P(x = 86) = 0.84134

The probability that a student earned a score between 66 and 86 is calculated as:

P(x = 86) - P(x = 76)

= 0.84134 - 0.15866

= 0.68268

b Pete won the first heat in 13 minutes 39 seconds. Jacob won the second heat in 14 minutes 16 seconds. Who ran faster? By how much? t​

Answers

In accordance with the research problem we were given, Pete outran Jacob by 37 seconds.

A second of angle is what?

Minutes are the 60 equal pieces that make up each degree. Thus, 7 to 8 inches can also be written as seven degrees and thirty minutes, or seven°30'. For example, 2 ° 5 minutes and 30 seconds are represented by the notation 2° 5' 30 since each minutes is further subdivided into 60 equal seconds.

Then, we have Pete's time: First, we convert minutes into seconds. 13 minutes and 39 seconds is equal to 13 * 60 + 39, or 819 seconds.

Jacob's period: 14 minutes and 16 sec. = 14 * 60 + 16 sec. = 856 sec.

Jacob outpaced Pete by 856 – 819 = 37 seconds.

Pete ran 37 seconds faster as a result.

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9. Plot A(8,-4), B(3, -4), C(7, 1), and D(7.-3) in a coordinate plane.
Then determine whether AB and CD are congruent.

Answers

Answer:

Just put it into Geogebra Classic. It's an app that really helps with this kinda stuff

Which of the following best explains why cosine StartFraction 2 pi Over 3 EndFraction not-equals cosine StartFraction 5 pi Over 3 EndFraction

Answers

Answer:

B.)- Cosine is negative in the second quadrant and positive in the fourth quadrant.  

Step-by-step explanation:

Answer:

B.) Cosine is negative in the second quadrant and positive in the fourth quadrant. i just took the quiz

Step-by-step explanation:

I hope this helped ;)

PLEASE HELP ILL MAKE BRAINLIEST ​

Answers

Answer:

56°

Step-by-step explanation:

180 = 40 + (2x) + (3x)

180 - 40 = 40 + 5x - 40

140/5 = 5x/5

x = 28

2(28)

= 56

Answer:

m∠A = 56°

Step-by-step explanation:

A triangle contains 180°. So

180 - 40 = 140

2x + 3x = 140

5x = 140

x = 28

Now, plug in the value for x.

2(28) = 56

Check your work.

40 + 56 + 84 = 180

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