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Crazy boy [7]
3 years ago
7

Suppose HIJK is a parallelogram. Find the value of x and y.

Mathematics
2 answers:
Kryger [21]3 years ago
6 0

Answer:

x = 90, y = 12

Step-by-step explanation:

The key to this problem is the fact that <u>opposite sides of a parallelogram are congruent</u> (their lengths are equal).

Set up and solve two equations, one for x and one for y.

x + 80 = 2x - 10

80 = x - 10

90 = x

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

3y - 4 = y + 20

2y - 4 = 20

2y = 24

y = 12

solmaris [256]3 years ago
5 0
Answer is x= 90 y=12
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5ab^2 - 12a^2b + 3ab + ab^2 + 4a^2b
Agata [3.3K]

Answer:

(a) 6ab² - 8a²b + 3ab

Step-by-step explanation:

Given: 5ab² - 12a²b + 3ab + ab² + 4a²b

In this question, we will be combining like terms.

What are like terms?

Like terms are terms with the same variables and power. For example, 2x and 4x, as well as 2a² and 4a².

Combine like terms:

5ab² - 12a²b + 3ab + ab² + 4a²b

(5ab² + ab²) + (-12a²b + 4a²b) + 3ab

6ab² - 8a²b + 3ab

4 0
1 year ago
Coach Johnson need to buy shin guards for junior varsity and varsity basketball players the following package of shin guards are
Firdavs [7]

Answer:

$1.50

Step-by-step explanation:

To find the best deal, we first want to consider price per unit. To find the price per unit, we divide the price by the number of units. For the 10 shin guard package, our price is 14.50, and we divide that by 10 to get 1.45 . Therefore, our unit price for the package of 10 is $1.45 per shin guard. Similarly, we can find the unit price for the package of 15 to be 22.5/15 = $1.50 per shin guard. As 1.50 is greater than 1.45, the lowest unit price is for the package of 10.

The question is asking for us to compare the prices if we bought 30 of each. For the package of 10, we get 1.45*30 (as we're buying 30 for 1.45) = 43.5 as the total price, and for the package of 15, we get 1.5*30 = 45 as our price. As 15 and 10 are both factors of 30, we don't need to worry about converting it back into packages of 10/15. The difference between buying 30 at the lowest and highest unit price is therefore (45-43.5)=1.5 dollars

4 0
3 years ago
Read 2 more answers
Suppose that each time Giannis Antetokounmpo shoots a free throw, he has a 3/4 probability of success. If Giannis shoots three f
GREYUIT [131]

Answer:

84.38% probability that he succeeds on at least two of them

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either Giannis makes it, or he does not. The free throws are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

He has a 3/4 probability of success.

This means that p = \frac{3}{4} = 0.75

Giannis shoots three free throws

This means that n = 3

What is the probability that he succeeds on at least two of them

P(X \geq 2) = P(X = 2) + P(X = 3)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{3,2}.(0.75)^{2}.(0.25)^{1} = 0.4219

P(X = 3) = C_{3,3}.(0.75)^{3}.(0.25)^{0} = 0.4219

P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4219 + 0.4219 = 0.8438

84.38% probability that he succeeds on at least two of them

6 0
2 years ago
Which of the folowing pairs of circles have i as a common internal target select all that apply
MakcuM [25]

Answer: pic of the question?

Step-by-step explanation:

6 0
3 years ago
.In the coordinate x,y the point x is calledorigin<br>abscissa<br>line<br>y-axis<br>​
Dmitry [639]

<u>Answer:</u>

  • The x coordinate is known as <u>abscissa</u><u> </u><u>(</u><u>B)</u>

<u>Step-by-step</u><u> Explanation</u><u>:</u>

In a Cartesian plane, we learn many such terms which represent a point, or a line, or cooridnates of some points etc.

Such terms are:

  • Origin (Intersection of x axis and y-axis.)
  • x - axis (Horizontal line)
  • y - axis (Vertical line)
  • abscisaa (x -coordinate)
  • ordinate (y - coordinate)
5 0
2 years ago
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