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

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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

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