What is the slope of the line?

Responses

2/5

StartFragment, 2/5,

-2/5

StartFragment, -2/5,

1/3

StartFragment, 1/3,

5/2

There is not enough information provided to determine the slope of the line.

Which of the following numbers can replace the missing numerator to make the addition sentence true? 32/57 + ?/57 = 54/57 (1 point)

Responses

32
32

86
86

22
22

57

The missing numerator that can replace the question mark is 22. This is because when you add 32/57 and 22/57, you get 54/57.

Sarina is mixing paint. If she adds 1/ gallon blue, 1/4 gallon red, and 1/4 gallon white, how much total paint does she have? (1 point)

Responses

4 gallons
4 gallons

34 gallon
Start Fraction 3 over 4 End Fraction gallon

3 gallons
3 gallons

38 gallon

To find the total amount of paint that Sarina has, we need to add the fractions together.

1/2 gallon (blue) + 1/4 gallon (red) + 1/4 gallon (white)

Since the denominators are already the same, we can simply add the numerators:

1/2 + 1/4 + 1/4 = 2/4 + 1/4 + 1/4 = 4/4 or 1 gallon

Therefore, Sarina has a total of 1 gallon of paint.

WRONG

I apologize for the mistake. Let's try again.

To find the total amount of paint Sarina has, we need to find a common denominator for the fractions.

The denominators are 2, 4, and 4. The least common multiple of 2, 4, and 4 is 4.

Now, let's convert each fraction to have a denominator of 4:

1/2 gallon (blue) = 2/4 gallon
1/4 gallon (red) = 1/4 gallon
1/4 gallon (white) = 1/4 gallon

Now we can add the fractions:

2/4 gallon + 1/4 gallon + 1/4 gallon = 4/4 gallon

The fraction 4/4 is equivalent to 1 whole gallon.

Therefore, Sarina has a total of 1 gallon of paint.

When two parallel lines are cut by a transversal, which of the statements is NOT true?

Responses

Same-side interior angles are congruent.

StartFragment, StartFragment, Same-side interior angles are congruent., EndFragment, ,

Vertical angles are always congruent.

StartFragment, Vertical angles are always congruent.,

Corresponding angles are congruent.

StartFragment, Corresponding angles are congruent.,

Alternate interior angles are congruent.

StartFragment, Alternate interior angles are congruent.,

The statement "Same-side interior angles are congruent" is NOT true when two parallel lines are cut by a transversal.

What triangle congruence postulate would prove that the two triangles are congruent?

A triangle B L G is made Another triangle P F X is drawn The sides B L and P F are labeled with a single tick mark The sides B G and P X are labeled with a double tick mark The angle L B G and angle F P X are marked equal

Responses

ASA
ASA

SSS
SSS

SAS
SAS

AAS