Call the three angles of a triangle ∠1,∠2,∠3The measure of ∠2 is forty degrees less than that of ∠1; the measure of ∠3 is ten degrees less than twice that of ∠1If x is the measure of ∠1, then which of the following equations would we need to solve in order to calculate the measures of the angles?

Answers

Answer 1
Answer:

Answer:

             57.50° is the measure of ∠1.

              17.50° is the measure of ∠2.

              105° is the measure of ∠3.

Step-by-step explanation:

Given that,

     x is the measure of ∠1.

Now,

      The measure of ∠2 is forty degree less than that of ∠1, so (x-40) is the measure of ∠2.

      The measure of ∠3 is ten degree less than twice that of ∠1, so (2x-10) is the measure of ∠3.

So,

     According to Angle sum property,

   Sum of the measures of the three angle of triangle is 180°.

Now,

        ∠1 + ∠2 + ∠3 = 180°

        (x) + (x-40) + (2x-10) = 180°

        4x - 50 = 180°

        4x = 230°

        x = 57.50°

So,

   57.50° is the measure of ∠1.

   17.50° is the measure of ∠2.

   105° is the measure of ∠3.


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PLEASE help with these math questions

Answers

all of these are applications of the distance formula
remember a^2+b^2=c^2
so the distance (c) is \sqrt{a^(2)+b^(2)}
a and b are legnths of legs so we find the legnths


the distance between points (x1,y1) and (x2,y2) is

D=\sqrt{(x2-x1)^(2)+(y2-y1)^(2)}
input points and find distance

1. (3,5) ot (7,3)
D=\sqrt{(7-3)^(2)+(3-5)^(2)}=√(16+4)=√20=4.47
answer is A

2. (-3,-2) to (4,6)
D=\sqrt{(4-(-3))^(2)+(6-(-2))^(2)}=√(49+64)=√113=10.63
answer is 10.6 units

3. from (1,7) to (9,-2)
D=\sqrt{(9-1)^(2)+(-2-7)^(2)}=√(64+81)=√145=12.04
answer is B

4. (-1,-2) to (6,2)
D=\sqrt{(6-(-1))^(2)+(2-(-1))^(2)}=√(49+16)=√65=8.06
round
8.1 units

5. apply multipule times
A=(2,2)
B=(12,2)
C=(9,8)
D=(2,8)
find the distance between
A to B
B to C
C to D
D to A
we can see the distances between AB, CD and AD easily
just since 1 variable doesn't change, we just find the change in the other variable
AB=10 units
CD=7 units
DA=6 units
now
CB is from  (12,2) to (9,8)
D=\sqrt{(9-12)^(2)+(8-2)^(2)}=√(9+36)=√45=6.7

add everybody
AB+BC+CD+DA=10+6.7+7+6=29.7
we see that they put a trick and see option D, the not careful people will chose that but the quesiton askes for the perimiter

answer is B

2 PointsIf y(x) = x - 2, which of the following is the inverse of Ax)?
O . F'(x) = 2 - x
O B. f'(x) = x-2
O c. f'(x) = 2x
OD. F'(x) = x+2

Answers

Answer:

D

Step-by-step explanation:

let y = x - 2 and rearrange making x the subject, that is

y = x - 2 ( add 2 to both sides )

y + 2 = x

now change x to f^(-1) (x) and y back to x, thus

f^(-1)(x) = x + 2 → D

ASAP What is 7 · 2 3/7 ?

Answers

7 * 2  (3)/(7) \n \n 7 *  (2 * 7 + 3)/(7) \n \n 7 *  (14+3)/(7)  \n \n 7 *  (17)/(7) \n \n  (119)/(7) \n \n 17 \n \n Answer: \fbox {17}
2 (3)/(7) = ((2\cdot7)+3)/(7) = (14+3)/(7) = (17)/(7)

7 \cdot (17)/(7) = \boxed{\bf{17}}

Can somebody help me writing a number sentence that tells what does the model represent

Answers

There are 5 ovals surrounding bars of 3. 
This means that there are 5 groups of 3.

Hope this helps!! (:
That means 3 are in each of the five groups

What is the quotient of 43.8 and 12

Answers

Answer:

The quotient of our given numbers is 3.65.

Step-by-step explanation:

We are asked to find the quotient of 43.8 and 12.

To find the quotient of 43.8 and 12, we need to divide 43.8 by 12 as shown below:

\text{Quotient}=(43.8)/(12)

\text{Quotient}=3.65

Therefore, the quotient of our given numbers would be 3.65.

When you divide 43.8 / 12 you get 3.65.

Unemployment is the ratio of A. unemployed workers to employed workers
B. unemployed workers to total workers
C. workers to total population
D. workers to nonworkers

Answers

Answer:

C. Workers to total population.

Final answer:

Unemployment is defined as the condition of people who are able to work but cannot find jobs. The unemployment ratio is most accurately described by option B: 'unemployed workers to total workers'. This does not include people who are not part of the labor force.

Explanation:

Unemployment is defined as the condition in which people who are able and willing to work cannot find jobs. In terms of the provided options, unemployment is best defined by option B: 'unemployed workers to total workers'. This is because the unemployment rate is calculated by dividing the number of unemployed individuals by the total number of individuals in the labor force (which includes both the employed and the unemployed) and then multiplying by 100 to get a percentage.

This measure gives a good representation of the number of people who are jobless compared to the overall amount of people who are either working or actively seeking work. It's important to keep in mind that it doesn't include people who are not part of the labor force, like children, retirees, and others who are not looking for work.

Learn more about Unemployment Definition here:

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