Solve the system of equations. 14r + 5y = 31 2r

Find the perimeter of OQR if OQ=6.5. A. 6.1 B. 12.2 C. 13 D. 19.1

Svetach [21]

ANSWER

The correct answer is 19.1

EXPLANATION

The perimeter of triangle OQR is the sum of the distance around the triangle.

Thus,

$Perimeter=|OQ|+|OR|+|RQ|$

We can observe that two of the angles are equal.

The angles that are equal measures 62° each.

Therefore triangle OQR is an isosceles triangle. This means that

$|OQ|=6.5=|OR|$

Hence,

$Perimeter=6.5+6.5+6.1$

$Perimeter=19.1$ units.

3 0

2 years ago

Read 2 more answers

Ramon is playing a game in which he must pull two blocks out of a bag containing red and yellow blocks. He cannot look, and he c

Nimfa-mama [501]

A) $\frac{x(x+4)}{(2x+4)(2x+3)}$
B) 1/4 = 25%
C) 1/8 = 12.5%

Explanation
A) Let x = the number of yellow blocks. Then x+4 = the number of red blocks, and x+x+4=2x+4 is the total number of blocks.

The probability of choosing a red block first would be
$\frac{x+4}{2x+4}$
since there are x+4 red blocks out of 2x+4 total blocks.

The probability of choosing a yellow block after the red block would be
$\frac{x}{2x+4-1}=\frac{x}{2x+3}$
since there are x yellow blocks, and after 1 is chosen, there are 2x+3 total blocks remaining.

This gives the total probability of
$\frac{x+4}{2x+4}\times \frac{x}{2x+3}=\frac{x(x+4)}{(2x+4)(2x+3)}$

B) If there are 6 yellow blocks, there are 6+4=10 red blocks, and 10+6=16 total blocks.
The probability of getting a red block first would be 10/16, and the probability of getting a yellow block after the red block would be 6/15. Together this gives us
10/16(6/15) = 60/240 = 1/4 = 0.25 = 25%

C) If there are 6 yellow blocks, there are 6+4=10 red blocks, and 10+6=16 total blocks.
The probability of getting a yellow block first is 6/16, and the probability of getting a second yellow block after the first one is 5/15. Together this gives us
6/16(5/15) = 30/240 = 1/8 = 0.125 = 12.5%

6 0

2 years ago

Factor completely. (X^2+ x – 6)(2x^2 + 4x) = What’s the answer

lyudmila [28]

Answer:

(X^2+x−6)⋅2x(x+2

Step-by-step explanation:

7 0

3 years ago

What is 5 times 6 times 8+35

cluponka [151]

5×6×8+35

Follow P.E.M.D.A.S and multiply first: (5×6)×8+35

30×8+35

(30×8)+35

240+35

275