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3 years ago

Will someone please help me understand this?

Mathematics

2 answers:

mario62 [17]3 years ago

7 0

Option A:

The length of diagonal JL is $3 \sqrt{5} \text { units }$ .

Solution:

In the quadrilateral, the coordinates of J is (1, 6) and L is (7, 3).

So that, $x_1=1, y_1=6, x_2=7, y_2=3$

To find the length of the diagonal JL.

Using distance formula:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

$d=\sqrt{(3-6)^2+(7-1)^2}$

$d=\sqrt{(-3)^2+(6)^2}$

$d=\sqrt{9+36}$

$d=\sqrt{45}$

$d=\sqrt{3^2\times 5}$

$d=3\sqrt{ 5}$ units

The length of diagonal JL is $3 \sqrt{5} \text { units }$ .

Option A is the correct answer.

Anni [7]3 years ago

6 0

Answer:

the answer is A

Step-by-step explanation:

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Theoretical probability is the probability that an event occurs when all of the outcomes of the experiment are equally likely.

MA_775_DIABLO [31]

1. The probability that we select a red marble is 1/3.

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6/18 = (6/6)/(18/6)

(6/6)/(18/6) = 1/3

So, therefore, the theoretical probability of picking a red marble is 1/3.

2. The probability that we select a blue marble is 2/3.

We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.

Greatest Common Factor of 12 and 18 = 6

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Thus, the theoretical probability of picking a blue marble is 2/3.

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3 years ago

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lesya692 [45]

$3(14 - 5x) = 16 - 12x$

Distribute 3 throught the parentheses

$42 - 15x = 16-12x$

Move the variable to the left-hand side and change its sign

$42 - 15x + 12x = 16$

Move the constant to the right-hand side and change its sign

$- 15x+12x=16 - 42$

Collect like terms

$- 3x = - 26$

Divide both sides of the equation by -3

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3 years ago

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balu736 [363]

Equals 180 because the exterior angle in question is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the angle in the bottom right corner to make a 180 degree angle.

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

Add whole numbers.

2x + 1 + 37 + 118 = 180

Add whole number (if there is any).

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Subtract 156 from both sides to have one side have a variable.

2x + 156 = 180

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--- ----

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3 years ago

Whoever answers gets brainlist!

Andreyy89

Answer: D

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