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3 years ago

Janet is trying to prove that the sum of the measures of the interior angles of a triangle is 180°.

Mathematics

2 answers:

Butoxors [25]3 years ago

7 0

Answer:

A Alternate interior angles of parallel lines are congruent

Step-by-step explanation:

The referenced angles (1, A), (3, C) are alternate interior angles, not corresponding or exterior. The symmetric property does not apply. The only answer choice with any applicability is the one shown above. (It is also the right choice.)

pogonyaev3 years ago

6 0

Answer:

<h2>A . Alternate interior angles of parallel lines are congruent</h2>

Step-by-step explanation:

If you observe the image, the statement that Janet wants to justify is

$\angle 1 \cong \angle A$

$\angle 3 \cong \angle C$

According to the given graph, these angles are inside parallels because $DE \parallel AC$ by given, and these angles are at different sides of the transversals $BA$ and $BC$ , those position define Alternate Interior Angles, which by theorem they are congruent.

Therefore, the right reason of such congruence is

<em> A . Alternate interior angles of parallel lines are congruent.</em>

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Write a slope-intercept equation for a line passing through the point (5,-5) that is parallel to the line x = -2. Then write a s

Gnesinka [82]

Answer:

1. y=-2x+5

2. y=1/2x-7.5

Step-by-step explanation:

you plug in the cordinates for the y intercept and you already have the slope.

y=mx+b

m= slope which is -2

6 0

3 years ago

What is a postulate?

zloy xaker [14]

Answer:

A statement, also known as an axiom, which is taken to be true without proof. Postulates are the basic structure from which lemmas and theorems are derived.

Step-by-step explanation:

The Addition Postulate: If you have one apple and Sally has one apple, when you both add the same quantity to your existing number of apples, you'll still have the same number of apples. Using algebra, the postulate states:

If x = y, then x + 4 = y + 4

The Subtraction Postulate: If you have ten apples and Sally has ten apples, when you both subtract the same quantity of apples from your existing number of apples, you'll still have the same number of apples.

If x = y, then x - 3 = y - 3

Without being repetitive, these same principles apply to both multiplication and division.

The Multiplication Postulate: If x = y, then x * 3 = y * 3

The Division Postulate: If x = y, then x / 7 = y / 7

5 0

3 years ago

Read 2 more answers

Ms. Carey grades 4 tests during her lunch. She grades 1/3 of the remainder after school. If she syill5has 16 test to grade after

enot [183]

Answer: 24 tests

Step-by-step explanation:

Ms. Carey graded 1/3 of the tests and still had 16 tests to go.

This means that the 16 tests represent the remaining proportion of the total number of tests:

= 1 - 1/3

= 2/3

2/3 of the total is equal to 16 tests. Assuming the total is x, the expression would be:

2/3x = 16

x = 16 ÷ 2/3

x = 16 * 3/2

x = 24 tests

3 0

3 years ago

A sociologist recorded the estimated life expectancies of women born in Center City. Use the data from women born in 1970 and 20

Veronika [31]

$Y=0.213x-352$ will represent this linear model shown in the data table.

<h3>What will be the linear model for the given data?</h3>

Put the values of the x in the all given equations and then check the value of y if the value of y matches the given values in the option

So if we put the value x=1980 in the $Y=0.213x-352$ then

$Y=0.213(1980)-352$

$Y=69.74$

These values are closest to 70.1 whereas other options do not satisfy the condition.

Thus $Y=0.213x-352$ will represent this linear model shown in the data table.

To know more about Statistics follow

brainly.com/question/21508412

3 0

2 years ago

Help please. i am confused

liraira [26]

Answer:

G(x+2) = 7x^2 + 33x + 30

Step-by-step explanation:

So in the G(x) function, to find G(x+2), we just simply plug in the value of x+2 into the function and the result is what is wanted. SO:

G(x+2) = 7(x+2)^2 + 5(x+2) -8 , which is 7x^2 +33x +30 after SIMP - lifying (see what I did there ;)

Hope i helped, please make this brainly. :)

4 0

3 years ago