All categories

3 years ago

How to find the measure of a triangle?

Mathematics

2 answers:

gulaghasi [49]3 years ago

8 0

Is it 1/2×b×h
to find the area
or
base×height

AleksAgata [21]3 years ago

6 0

Hi there! :)

Answer:

The answer is D. 83°

Step-by-step explanation:

You should know that the interior angles of a triangle always add up to 180°.

So, what you will need to do, is add all 3 angles together and create an equation (equal to 180). Then you need to solve this equation by isolating "x":

(8x + 12) + (55 - 3x) + (10x + 23) = 180

Get rid of all the parentheses

8x + 12 + 55 - 3x + 10x + 23 = 180

Add all similar terms together

8x - 3x + 10x = 15x

12 + 55 + 23 = 90

15x + 90 = 180

Subtract "90" from each side of the equation → 180 - 90 = 90

15x = 90

Divide each side of the equation by "15" → 90 ÷ 15 = 6

x = 6

Since you now know that the value of "x" is 6, you can now find the measure of the angle at George's position by replacing the "x" by 6:

10x + 23 = Measure of the angle at George's position

10(6) + 23

Multiply 10 by 6 → 10 × 6 = 60

60 + 23

Add 60 and 23 together → 60 + 23 = 83

83 = Measure of the angle at George's position

There you go! I really hope this helped, if there's anything just let me know! :)

You might be interested in

Which number is a prime number?? 111 121 131 141

Fynjy0 [20]

The prime number you are looking for is 141

5 0

3 years ago

Hey People lol i need help the question is is 3+(-4) the same as -4+3? Explai PLEASE HELP ITS DUE TODAY SOON 0-0

Llana [10]

yes it will be you are just rearranging the answer the numbers and signs are still the same

7 0

3 years ago

Read 2 more answers

Please help me out!!!

Gala2k [10]

Answer:

Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + 6^2 = 10^2

a^2 + 36 = 100

a^2 = 64

a = 8

5 0

3 years ago

Lin notices that the number of cups of red paint is always 15 of the total number of cups (0.2 of the total number of cups). She

ivann1987 [24]

Step-by-step explanation:

The number of cups of red paint is always 15 of the total number of cups. 0.2 of the total number of cups.

She writes the equation r = 15t (r = 0.2t) to describe the relationship.

In this case, the total no. of cups is an independent variable. No. of cups do not depend on any term.

The number of cups of red paint is a dependent variable as it depends on the number of cups.

7 0

3 years ago

In a math class with 29 students, a test was given the same day that an assignment was due. There were 22 students who passed th

Phoenix [80]

4/29 is the probability that a student who did not complete the homework passed the test.

Step-by-step explanation:

It is given that,

There are 29 students in a math class.

Two types of students who passed the test and are not passed the test.

The other two types of students are who completed the assignment and did not complete the assignment.

So, the given data can be formed as a table.

There were 22 students who passed the test.
There were 20 students who completed the assignment.
There were 18 students who passed the test and also completed the assignment.

Passed the test Not passed the test Total

Completed assignment 18 - 20

Not completed assignment x - -

Total 22 - 29

Now, you need to find the probability that a student who did not complete the homework passed the test.

⇒ No.of students completed assignment passed the test / Total students.

To find the no.of students completed assignment passed the test :

Let 'x' is the no.of students completed assignment passed the test.

⇒ 18+x = 22

⇒ x = 22 - 18

⇒ x = 4

∴ P(students completed assignment passed the test) = 4 / 29.

4 0

3 years ago