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IrinaVladis [17]
3 years ago
5

Identify the correct justification for each step, given that ∠2 and ∠3 are complementary, and m∠1=m∠3.

Mathematics
1 answer:
blondinia [14]3 years ago
6 0

Answer:

Option A is correct because sum of m<2 and m<3 are complementary. So m<2+m<3 =90° .

Step-by-step explanation:

Given: <2 and <3 are complementary angles.

Definition of complementary angles says if two angles sum is equal to 90 degrees then they are called complementary angles.

Statement                                                       Reason

1.<2 and <3 are complementary                 1. Given

2. m<2+m<3 =90°                                         2. Definition of complementary <s

3. m<1= m<3                                                  3. Given

4. m<1+m<2= 90°                                          4.Substitution property of =

5. <1 and <2 are complementary               5. Definition of complementary <s.

Option A matches with the given. We can not use addition properties of equality for statement 2 so, other options are incorrect.

So, according to the given options A is correct.

You can learn more about complementary angles at brainly.com/question/21400774

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Question 1 of 15
Mrac [35]

The function y = - 50x + 75 is linear. So, the correct option is (A).

<h3>Define linear function.</h3>

The formula for a linear function is f(x) = mx + b, where m and b are real values. Isn't it resembling the slope-intercept form of a line, represented by the equation y = mx + b? Yes, this is the case as the graph of a linear function is a line. Here,

The line has a slope of m and a y-intercept of b.

The independent variable is "x."

The dependent variable is "y" (also known as f(x)).

Consider the equation y = - 50x + 75

Compared to the linear function equation, we get

m = -50

b = 75

So, the function is a linear function with a constant change. The function will be linear at all points.

To know more about linear functions, visit:

brainly.com/question/20286983

#SPJ1

8 0
2 years ago
9.10 raised to seven is how many times as large as 3. 10 raised to negative 2
miss Akunina [59]

Answer:

49,660,733.96

Step-by-step explanation:

Required to Find

How many times is 9.1^{7} greater than 3.1^{-2}

⇒

To find the required factor ,we have to divide the numbers

⇒The required number

=\frac{9.1^{7} }{3.1^{-2} } =9.1^{7} \times3.1^{2} =5167610.19 \times 9.21=49660733.96

6 0
3 years ago
Use the graph to complete the statements.
anygoal [31]

The slope of JK is -6/5.

The slope of PQ is 12/ 15.

These lines are neither parallel nor perpendicular.

<u>Step-by-step explanation:</u>

From the graph shown,

It can be determined that the point J is (0,5) and K is (10,-7).

The point P is (-5,-8) and Q is (10,4).

The formula for slope is given by,

Slope = \frac{y2-y1}{x2-x1}

<u>To find the slope of line JK :</u>

J ⇒ (0,5) = (x1,y1)

K ⇒ (10,-7) = (x2,y2)

Slope of JK = \frac{-7-5}{10-0}

⇒ \frac{-12}{10}

⇒ \frac{-6}{5}

∴ The slope of JK is -6/5.

<u>To find the slope of line PQ :</u>

P ⇒ (-5,-8) = (x1,y1)

Q ⇒ (10,4) = (x2,y2)

Slope of PQ = \frac{4+8}{10+5}

⇒ \frac{12}{15}

∴ The slope of PQ is 12/ 15.

<u>To find the relation between two lines :</u>

  • The parallel lines have same slope.
  • The perpendicular lines have a slope of negative reciprocal.

∴ These lines are neither parallel nor perpendicular.

6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=3%20%5Csqrt%5B3%5D%7B%20x%20%2B%202%7D%20%20%3D%2012" id="TexFormula1" title="3 \sqrt[3]{ x +
joja [24]

Answer:dont know

Step-by-step explanation:

sorry

8 0
3 years ago
there are 5 times as many yellow labs as terriers in the dog park. if there are a total of 18 dogs, how many dogs are terriers?
german
There are 3 terriers and 15 yellow labs

7 0
3 years ago
Read 2 more answers
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