Find the measure of A. 254 B. 53 C. 106 D. 127

Dahasolnce [82]

(2x+2)(3x+1)
2x*3x+2x*1+2*3x+2*1
6x^2+2x+6x+2
6x^2+8x+2

Hope this helped

6 0

2 years ago

Quadrilateral RSTU has vertices R(1,3), S(4,1), T(1,-3) and U(-2,-1). Is it true or false that this is a rectangle because the d

Alex777 [14]

Given vertices ofQuadrilateral RSTU as R(1,3), S(4,1), T(1,-3) and U(-2,-1).

We need to check if diagonals are congruent.

The coordinates of verticales diagonal RT are R(1,3) and T(1,-3).

The coordinates of verticales diagonal SU are S(4,1), and U(-2,-1),

By applying distance formula:

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

RT = $=\sqrt{\left(1-1\right)^2+\left(-3-3\right)^2}$ = $\sqrt{36}$

RT = 6

SU $=\sqrt{\left(-2-4\right)^2+\left(-1-1\right)^2}$ .

$=2\sqrt{10}$ .

Diagonal RT is not congruent to Diagonal SU.

Therefore, Quadrilateral RSTU is not a rectangle because the diagonals are not congruent.

So, it is False.

6 0

3 years ago

Three dozen eggs cost $18.00, How much would one egg cost?

Assoli18 [71]

Answer:

SUPER SORRY IF THIS IS WRONG

I believe one egg would cost $2

Step-by-step explanation:

Three dozen eggs is 36 eggs, then 36 divided by 18 is 2. So one egg would be $2.

Again really sorry if I am wrong.

8 0

3 years ago

Read 2 more answers

Systems of equations with different slopes and different y-intercepts have more than one solution.

FrozenT [24]

Answer: OPTION C.

Step-by-step explanation:

The systems of linear equations can have:

1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.

2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system

3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.

Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.

7 0

2 years ago

Find the lengths the missing side

aalyn [17]

Answer:

Long leg = 10√3
Short leg = 10
Hypotenuse = 20

Step-by-step explanation:

Concept:

Here, we need to know the idea of a special triangle 30-60-90.

A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist.

The ratio between the corresponding side of each angle is 1 : √3 : 2

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

30-60-90 ⇔ 1 : √3 : 2

Given the side corresponding to 90° is 20

30° : 90° = 1 : 2

30° : 20 = 1 : 2

30° = 10

30° : 60° = 1 : √3

10 : 60° = 1 : √3

60° = 10√3

Hope this helps!! :)

Please let me know if you have any questions

5 0

2 years ago