Answer:
Step-by-step explanation:
<u>Given</u>
<u>Solution</u>
- - 6x + (-4x) = -50
- -10x = -50
- x = -50/-10
- x = 5
- y = -4*5 = -20
∠A = 24°
∠B = 87°
∠A = 24°
Explanation:
The sum of angles in a triangle is 180 degrees
let measure of angle A = ∠A
∠B = 15 more than three times the measure of angle A
∠B = 15 + 3∠A
∠C = 45° more than the measure of angle A
∠C = 45° + ∠A
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
∠A + 15 + 3∠A + 45° + ∠A = 180
collect like terms:
∠A + 3∠A + ∠A + 15 + 45 = 180
5∠A + 60 = 180
5∠A = 180 -60
5∠A = 120
∠A = 120/5
∠A = 24°
∠B = 15 + 3∠A = 15 + 3(24)
∠B = 87°
∠C = 45° + ∠A = 45° + 24°
∠C = 69°
Answer:
0.0313
Step-by-step explanation:
Given that in the shipment of 71 vials, only 13 do not have hairline cracks
Probability of not having a hairline cracks = 
If you randomly select 2 vials from the shipment
(Probability of not having a hairline cracks)' =
= 
what is the probability that none of the 2 vials have hairline cracks.
i.e 
= 0.183 × 0.171
= 0.0313
Hence, the probability that none of the 2 vials have hairline cracks = 0.0313
Answer:

Step-by-step explanation:
<u>Given:</u>

<u>Apply exponent rule of distribution:</u>

<u>Simplify the numerator:</u>

<u>Simplify the denominator:</u>

<u>Simplify:</u>

-> To explain this party since it is a bigger jump,
is on the top and the bottom, so it becomes a one. We are left with a four on the top, and using properties of exponents 4 - 1 = 3, explaining why we have
leftover too.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer: a) x = 5 or -1 b) x = √3+2
c) x = -1/2 or -3/2
Step-by-step explanation:
a) (x − 2)² = 9
First step is to take the square root of both sides to eliminate the square
√ (x − 2)² = √9
x-2 = +-3
x = +3+2
x = 5 and;
x = -3+2
x = -1
x = 5 or -1
b) 3(x-2)² = 9
First we divide both sides by 3 to get;
(x-2)² = 9/3
(x-2)² = 3
Second step is to take the square root of both sides to eliminate the square
√(x-2)² = √3
x-2 = √3
x = √3+2
c) 6 = 24(x+1)²
Dividing both sides by 24, we have
6/24 = (x+1)²
1/4 = (x+1)²
Taking the square root of both sides we have
√1/4 = √(x+1)²
= +-1/2 = x+1
x = +1/2-1 = -1/2 and;
x = -1/2-1 = -3/2
x = -1/2 or -3/2