Solve for these letters X Y Z

Mathematics

1 answer:

tester [92]3 years ago

7 0

Z = 140
X = 40
Y = 40
Explanation:
Z and the angle given (140 degrees) are vertical angles, and are therefore congruent
We know that x and y are vertical angles, so they are also congruent to each other
You know that together, the angles have to add up to 360
140 + 140 + x + y = 360
Another way of putting it:
360-280 = 80
Now, we have to divide by two since we need to find x AND y
80/2 = 40
Therefore, your answers for x and y are 40
To double check, you can add up the angles and see if they equal 360
140 + 140 + 40 + 40
280 + 80 = 360

You might be interested in

A club with five members will randomly select the president and vice president. Each possible pair will be assigned an equal por

Tju [1.3M]

Answer:

C. 20

Step-by-step explanation:

The order in which the members are selected is important. The first one selected is the president and the second is the vice president.

So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this problem:

2 people are going to be chosen from a set of 5. So

$P_{(5,2)} = \frac{5!}{(5-2)!} = 20$

So the correct answer is:

C. 20

3 0

4 years ago

Read 2 more answers

ANYONE PLEASE HELP ME IN MY MATH HOMEWORK I REALLY NEED THE ANSWER RIGHT NOW BECAUSE I HAVE TO PASS THIS TOMORROW:(

vladimir1956 [14]

Answer:

.....................

10)=(-3)^2.x^4×2.y^2(5.x^2y^6)-7^2x^5×2y^4×2

=(9×5)x^8+2y^2+6-49x^10y^8

=45x^8+2y^2+6-49x^10y^8

=45x^10y^8-49x^10y^8

=-4x^10y^8

5 0

3 years ago

In a city school, 60% of students have blue eyes, 55% have dark hair, and 35% have blue eyes and dark hair. What is the probabil

gulaghasi [49]

Answer:

58%

Step-by-step explanation:

This is a problem of conditional probability.

Let A represent the event that student has dark hair.

So P(A) = 55% = 0.55

Let B represents the event that student has blue eyes.

So, P(B) = 60% = 0.60

Probability that student has blue eyes and dark hairs = P(A and B) = 35% = 0.35

We are to find the probability that a randomly selected student will have dark hair, given that the student has blue eyes. Using the given formula and values, we get:

$P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\ P(A|B)=\frac{0.35}{0.60}\\\\ P(A|B)=0.58$