The measure of angle D is 50⁰, the measure of angle E is 80⁰, and the measure of angle F is 10x . What is the value of x ?

Answers

Answer 1

By the interior angle theorem of triangles, the value of x is 5°.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of the interior angles in a triangle is 180°.

Given, In a triangle DEF the measure of angle D is 50⁰, the measure of angle E is 80⁰, and the measure of angle F is 10x .

Therefore, m∠D + m∠E + m∠F = 180°.

50° + 80° + 10x = 180°.

10x = 180° - 130°.

10x = 50°.

x = 5°.

So, The value of x is 5°.

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Related Questions

(Giving brainiest.) Explain why each statement might be true or might be untrue. Tell if each is an example of inductive or deductive reasoning? Justify your answers.
2. To get a high school diploma a student must have 24 credits. Cindy has 24 credits. Therefore, Cindy must have a high school diploma.

Answers

Answer:

Deductive because you would use multiple statements to draw a conclusion

13. A fast food restaurant sells hamburgers and hotdogs. One day you go in and get 4
hamburgers and 3 hotdogs for $25.50. The following week you go in and get 9 hamburgers and
2 hotdogs and pay $45.50. What is the price of 1 hamburger? What is the price of 1 hotdog?
WRITE and SOLVE a system of equations to solve this problem. Make sure to clearly define
your variables.

Answers

x is hamburger and y is hotdog
4x+3y=25.5
9x+2y=45.5
by using elimination method
8x+6y=51
-27x-6y=-136.5
-19x=-85.5
x=4.5

4(4.5) +3y=25.5
3y=7.5
y=2.5
hamburger $4.50 hotdog $2.50

Step-by-step explanation:

4x+3y=$25.50

9x+2y=$45.50

8x+6y=51

-27x-6y=$-136.50

-19x=-85.50

x=4.5

*
#17) Michelle has 8 pints of milk. How many quarts of milk does she have?

Answers

Answer:

4 quarts

Step-by-step explanation:

1 quart = 2 pints

2 quart = 4 pints

3 quart = 6 pints

4 quarts = 8 pints,

therefore Michelle has 4 quarts of milk

hope i helped you!

please check my answer!!!!!!

Answers

Answer: Its correct

Step-by-step explanation:

It is correct
Haobxhalbauabaapa a


13 cm
Find x.

24 degrees

Answers

x is 66 degrees, you just subtract 24 to 90 and it gives you 66.

Mark borrows $2500. His loan is for 6 months and has a 12% interest rate.
How much interest will Mark pay on the loan?

Answers

Answer:

either 300 or 1800

Step-by-step explanation:

depends on if they are counting for one month or the whole 6 months.

Answer:

$150.00

Step-by-step explanation:

2500x.12x.5= 150.00

HELP NEEDED ASASP
Write a story to represent this equation 15 divided by 1/9
Next what multiplication shows that your division is correct? PLS ANSWER

Answers

Answer:

Jamie has a  foot plank that he needs to cut into 1/9 pieces.

15 ÷ 1/9 = 135  

135 x 1/9 = 15

Step-by-step explanation:

Jude divided 15 pizzas bought into 1/9 pieces each. what is the total number of pizzas are we having?

Word problems

This is a way of representing equations using real-world applications.

Given the expression 15 divided by 1/9, we can create a story to represent the expression. For instance;

Jude divided 15 pizzas bought into 1/9 pieces each. what is the total number of pizzas are we having?

Let the number of pizzas we have to be x

x = 15/(1/9)

x = 15 * 9/1

x = 135

Hence there are 135 pieces of pizzas

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Find X (the angle are X, 81, and 84)

Answers

Answer:

15

Step-by-step explanation:

the answer is 15 because a triangle has to equal 180 so all you have to do is add 81 and 84 then subtract 180 from it. like this 81+84=165 180-165=15. Hope this helps.

C) What is the area of the shape in Step n?

Answers

Answer:

i think 6 or 12 let me know which is correct

Step-by-step explanation:

The area of the shape in Step n is (n+1)²-2.

What is pattern?

A recurring arrangement of numbers, forms, colours, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.

From the given pattern,

Area of the shape in step 1 is 2 square centimeter

Area of the shape in step 2 is 7 square centimeter

Area of the shape in step 3 is 14 square centimeter

Here, the pattern is 2²-2=2

3²-2=7

4²-2=14

so, the general form is (n+1)²-2

Therefore, the area of the shape in Step n is (n+1)²-2.

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Which relation is a function?

{(3, 4), (2, 4), (5, 1), (3, 5)}

{(1, 4), (1, 3), (1, 2), (1, 1)}

{(1, 3), (2, 6), (3, 9), (4, 12)}

{(3, 4), (3, 3), (1, 2), (1, 5)}

Answers

Answer:

its 1

Step-by-step explanation:

look it up big dig daddy

the third one.

explanation:

for it to be a function an x-value can never be the same. so therefore it’s the 3rd one.

Write the equation of the line, in point-slope form, that passes through the points (-6, -11) and (-2, -3).

Answers

Answer:

6 ..........................

66666666666666666666

need help fast only 14 mins left

Answers

Answer:

V = 49 m³

Step-by-step explanation:

Volume in November 2015 = 6287 m³

Volume in August 2015 = 6238 m³

We need to find the volume of water used between August and November. It can be calculated as follows :

V = 6287 m³ - 6238 m³

= 49 m³

So, the required volume is 49 m³.

Use the Law of Cosines to write an expression equivalent to a. I need this answer urgently pls!

Answers

9514 1404 393

Answer:

  a = √(b² +c² -2bc·cos(A))

  a = √(c² -b²)

Step-by-step explanation:

For sides a, b, c, and opposite angles A, B, C, the general form of the law of cosines is ...

  a² = b² + c² -2bc·cos(A)

An expression for 'a' can be written by taking the square root.

  a = √(b² +c² -2bc·cos(A))

__

If you recognize that cos(A) = b/c, then a substitution can be made:

  a = √(b² +c² -2(bc)(b/c)) = √(b² +c² -2b²)

  a = √(c² -b²) . . . . . . . same as the Pythagorean theorem

Jordan spent 5 hours over the weekend studying for 3 tests. He spent an equal amount of time studying for each test 0 1 2 3 5 Hours How long did Jordan spend studying for each test?​

Answers

Answer:

The actual answer would be 1.67. So if 0,1,2,3,5 are your choices then none of them are right.

Step-by-step explanation:

I need points.

Nigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters.

A triangle has points Nigel, Mia, and Treasure Chest. The distance from Nigel to Mia is 100 meters. The angle between Treasure Chest, Nigel, and Mia is 65 degrees. The angle between Nigel, Mia, and Treasure Chest is 80 degrees.

Given the angles in the diagram, who is closer to the treasure chest and why?

Nigel is closer because his distance to the chest is opposite the larger angle.
Mia is closer because her distance to the chest is opposite the smaller angle.
Nigel is closer because his distance from the chest is 100 meters.
Mia is closer because her distance from the chest is 100 meters.

Answers

Mia is closer to the treasure chest because her distance to the chest is opposite the angle less than 80 degrees.

What is triangle?

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

Given is a triangle that has points Nigel, Mia, and Treasure Chest. The distance from Nigel to Mia is 100 meters. The angle between Treasure Chest, Nigel, and Mia is 65 degrees. The angle between Nigel, Mia, and Treasure Chest is 80 degrees.

Refer to the image attached.

It can be seen that Mia is closer to the treasure chest because her distance to the chest is opposite the angle less than 80 degrees. We can conclude this from the fact that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle

Therefore, Mia is closer to the treasure chest because her distance to the chest is opposite the angle less than 80 degrees.

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Answer:

B

Step-by-step explanation:

I did it and it is correct

Jared measured a house and its lot and made a scale drawing. The scale of the drawing was 5 millimeters : 3 meters. The actual length of the front lawn is 69 meters. How long is the lawn in the drawing?

Answers

Answer:

115mm

Step-by-step explanation:

5/x = 3/69

5/x = 1/23

5*23 = x

115 = x

A bag contains 7 milk and 5 dark chocolates. A sweet is selected at random. What is the probability of choosing: P(milk) = P(not milk) =

Answers

Answer: P(7)=P(5)=12

Step-by-step explanation:

The probability of choosing milk and not milk will be 0.5833 and 0.4167, respectively.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

A sack contains 7 milk and 5 dim chocolates. A sweet is chosen indiscriminately.

The total number of the sweets will be given as,

Total events = 7 + 5 = 12

The probability of choosing milk will be given as,

P = (7/12)

P = 0.5833

The probability of choosing not to milk will be given as,

P = (5/12)

P = 0.4167

The probability of choosing milk and not milk will be 0.5833 and 0.4167, respectively.

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How do you make someone's comment the brainiest answer

Answers

Tbh idek i waiting for someone else to answer this question

Answer:

Nice.......It helped me out

LOL

Step-by-step explanation:


Given the inequality of x < 5, select all the
possible solutions that will make this inequality true.
Ua
7
b
5
Jc
8
d
-3
e
4
-1,245
0
Dh
6

Answers

nxnxnxbbxnxndnnsnsn nsnsnsndnnsndnndndnsndnndndnndnd

ILL GIVE BRAINLIEST PLEAS EHELP

Answers

Step-by-step explanation:

find the percentage of 0 ratio 7

Answers

Step-by-step explanation:

ratio - 0:7

in percentage=0÷7×100

URGENT!!!!

25/90= 0.27
WHAT IS O.27 ROUNDED TO THE NEAREST TENTH!!

PLEASE ANSWER!!

Answers

Answer:

0.3 since the 7 is bigger than 4 :)) just round up the tenth is the number after the decimal

the answer is 0.3. have a great day :))

Steven is making burgers that are approximately 1/3 of a pound each. If he has 6.02 pounds of meet, approximately how many burgers on Steven make

Answers

Answer:

20

Step-by-step explanation:

Look at the square find the value of C

Answers

Answer:

5

Step-by-step explanation:

Perimeter is created by add all sides together

20 / 4 sides = 5

i think it’s 5. the perimeter is 20 and there’s 4 sides of a square so if u divide 20 by 4 you get 5

Missing Terms- ?, 21, 16, ?, 6, ?

Answers

Answer: 26, 21, 16, 11, 6, 1 (You're going up by 5 each time)

Step-by-step explanation: Good luck! :D

express x^2 - 8x + 5 in the form (x - a)^2 - b where a and b are integers

Answers

Answer:

x^2 -8x + 5 = (x-4)^2 - 11

Step-by-step explanation:

Here we want to write the given expression in the form

x^2-8x + 5 can be written as follows;

(x-4)^2 = x^2 - 8x + 16

All we have to do is to subtract 11

Thus, we have it that;

x^2-8x + 5 = (x-4)^2 - 11

The scale on a map is 1cm=30km the map distance between two town is 3.5cm

Answers

3.5x30=105 so 105km.

Han's house is 450 meters from school. Lin's house is 135 meters closer to school. how far is Lin's house from school

Answers

Answer:

315 meters

Step-by-step explanation:

450-135=315

Answer: 315

Mark me brainliest please

Step-by-step explanation:

450-135= 315

HELP In △ABC, m∠A = 75° and m∠C = 20°, What is m⁢∠⁡⁣B?

Answers

180-(75+20)=180-95=85 B

To solve this question, we must know the the angle sum property of a triangle. Therefore the value of ∠⁡⁣B is 85° when ∠A = 75° and ∠C=20° in △ABC

What is angle sum property of a triangle?

According to angle sum property of a triangle, the sum of all angles of a triangle is always 180 degree. It can never be more than or less than 180 degree. If two angles of a triangle is given then the third angle can be calculated by subtracting the sum of two angle from 180°

The sum of the three angles in a triangle = 180° , that is

∠ A + ∠ B + ∠ C = 180°

Substituting the given values in the given equation we get

75° + ∠ B + 20° = 180°

∠ B + 95° = 180°

subtracting 95° from both sides we get

∠ B = 85°

Therefore  the value of ∠⁡⁣B is 85° when ∠A = 75° and ∠C=20° in △ABC

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Please help!

Thank you!

Answers

Answer: 25a²b⁴c⁶
Hope this helps
Simplified: 25a^2b^4c^5
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