The measure of each angle of a triangle is a multiple of 30°. What is the probability that the triangle has at least two congruent angles?

Answers

Answer 1

Answer: Well, the triangle could have a few possibilities to get the angles. They are:
30-30-120
30-60-90
30-90-60
30-120-30
60-30-90
60-60-60
60-90-30
90-30-60
90-60-30
Thus, there are 9 possible cases. Out of them 3 are good, so the probability is 1/3, or 33%.

Answer 2

Answer:

Answer:

33%

Step-by-step explanation:

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My sister is 14 years old. my brother says that his age minus 12 equal to my sister's age.

Answers

Answer:

26 years old.

Step-by-step explanation:

First lets write an expression for this problem.

That will be 14 + 12 = x

You will do this because it says how the persons sister's age is 14. And the brother says that his age is 12 minus equal to his sister's age. So that's why you use that expression.

So 14 + 12 will give yo 26.

So that means the brother is 26 years old.

Joan has a piece of fabric in the shape of a triangle. She measures two of the angles of the triangle, and each one is 60⁰. She creates two new triangles by cutting the fabric into two identical pieces with a single, straight cut through one of the vertices. Which word describes each of the two new triangles created by Joan's cut?

Answers

Answer:

Congruent

Step-by-step explanation:

By definition, congruent shapes have equal corresponding side lengths and equal corresponding angle measures, thus are identical. The question clearly states that Joan cut the fabric into two identical pieces with a straight cut through one of the vertices, hence the two triangles are congruent.

Answer:

Congruentword describes each of the two new triangles created by Joan's cut.

X^a+b/x^2a. x^b+c/x^2b. xc+a/x^2c

Answers

Answer:

See the image for the answer... Hope this helps!

Prove that the recurring decimal 0.39 = 13/33

Answers

$x=0.\overline{39}\n100x=39.\overline{39}\n 100x-x=39.\overline{39}-0.\overline{39}\n 99x=39\n x=(39)/(99)=(13)/(33)$

Please I need help asap.

Answers

QR is the median of the trapezoid, so its length is the average of the top and bottom bases. Write that. Say (length of QR)=1/2 of (length of the top + length of the bottom). That gives you a nice simple equation that you can easily solve for 'x'.

A swimming pool is draining at a constant rate. The table shows the proportional relationship between the change in the water level and the number of hours the pool is draining. Find the constant of proportionality. Then find the change in the water level at 9 hours and at 23 hours of draining.Draining Swimming Pool
Hours Draining
Change in Water Level (in.)
2
3.5
9
?
17
29.75
23
?
The swimming pool is draining at a rate of
nothing inches per hour.
(Type an integer or a decimal.)
Enter your answer in the answer box and then click Check Answer.

Answers

Answer:

first answer:-1.75

second:-15.75

third:-40.25

Step-by-step explanation:i am too lazy srry

Final answer:

The constant of proportionality is 1.75 inches per hour. The change in water level at 9 hours of draining is 15.75 inches, and at 23 hours of draining it is 40.25 inches.

Explanation:

The constant of proportionality represents the rate at which the water level is changing over time. To find the constant of proportionality, we can use the formula: constant of proportionality = change in water level / number of hours. Comparing the data in the table, we can find that when the number of hours is 2, the change in water level is 3.5. Therefore, the constant of proportionality is 3.5 / 2 = 1.75 inches per hour.

Next, to find the change in water level at 9 hours, we can multiply the number of hours by the constant of proportionality: 9 x 1.75 = 15.75 inches. Similarly, for 23 hours, the change in water level is 23 x 1.75 = 40.25 inches.

Learn more about constant of proportionality here:

brainly.com/question/8598338

#SPJ2

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