in the figure below, lines a and b are straight and parallel to each other, which angles must be congruent to<1

Joseph has $60 in a savings account. Each week he deposits $12 in the account.

Aleonysh [2.5K]

Answer:

12x +60

Step-by-step explanation:

c

d

5 0

2 years ago

The size of a television screen is measured by the length of thee diagonal of the screen. What size is a television screen that

Murljashka [212]

Answer:

approximately 6.708 feet

Step-by-step explanation:

We use the Pythagorean theorem to solve the problem, using 3 feet and 6 feet as the legs of a right angle triangle. The diagonal of the screen is therefore the "hypotenuse" of this right angle triangle, and can be determined via the formula:

$diagonal = \sqrt{(3\,ft)^2+(6\,ft)^2} \\diagonal = \sqrt{9\,ft^2+36\,ft^2} \\diagonal = \sqrt{45} \,ft\\diagonal = 3\,\sqrt{5} \,ft$

which is approximately 6.708 feet

6 0

3 years ago

Angles STU and UTV combine to form right angle STV. Which expression could be used to find the measure,in degrees,of angle UTV?

Sergeu [11.5K]

STV=STU+UTV

But,
STV=90° and STU = 75°

Therefore,
90=75+UTV => UTV = 90-75

Therefore, expression A is the one that can be used to find UTV.

8 0

2 years ago

Kenzie makes quilts from blue and purple pieces of fabric. The diagram shows the ratio of blue pieces to

REY [17]

The purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.

<h3>What is the ratio?</h3>

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The question is incomplete.

The complete question is in the picture, please refer to the picture.

Total number of pieces = 3+5 = 8

So, the purple pieces = 5(5/8) = 35

Total pieces = 20/(5/8) = 4×8 = 32

Thus, the purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ1

3 0

2 years ago

In a freshman class of 80 students,22 students take Consumer Education,20 students take French,and 4 students take both.Which eq

MAXImum [283]

<h3>Answer: Choice C</h3>

P = 11/40 + 1/4 - 1/20

=========================================================

Explanation:

The formula we use is

P(A or B) = P(A) + P(B) - P(A and B)

In this case,

P(A) = 22/80 = 11/40 = probability of picking someone from consumer education
P(B) = 20/80 = 1/4 = probability of picking someone taking French
P(A and B) = 4/80 = 1/20 = probability of picking someone taking both classes

So,

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 11/40 + 1/4 - 1/20

which is why choice C is the answer

----------------

Note: P(A and B) = 1/20 which is nonzero, so events A and B are not mutually exclusive.

6 0

2 years ago