3600 if you multiply 40 to 80<span />
Answer:
x = -3 + 
, -3 -
Step-by-step explanation:
Step 1: Isolate <em>x</em>'s
2x² + 12x = 7
Step 2: Factor
2(x² + 6x) = 7
x² + 6x = 7/2
Step 3: Complete the Square
x² + 6x + 9 = 7/2 + 9
(x + 3)² = 25/2
Step 4: Solve for <em>x</em>
√(x + 3)² = √25/2
x + 3 = 5√2/2
x = -3 ± 5√2/2
The answer is choice A, a 3.5% increase.
12/15 = 80%
13/17 = 76.47%
80% - 76.47% = 3.5%
We want to find the probability that Berenice gets all the answers correct.
<u>1 question:</u>
Each question has 4 options, each option has the same probability of being the correct option, so she has a 25% of<u> randomly selecting the correct option.</u>
Then the probability here will just be equal to the number of correct options (1) over the total number of options (4)
p = 1/4
2 questions:
We already know the probability for one question, then the probability of getting two questions correct will be equal to the <u>product of the individual probabilities</u> for each question:
p = (1/4)*(1/4 = 1/16
3 questions:
Similar approach as before:
p = (1/4)*(1/4)*(1/4) = 1/64
4 questions:
p = (1/4)*(1/4)*(1/4)*(1/4) = 1/256
If you want to learn more, you can read:
brainly.com/question/23044118
Answer:
Equation: (29x + 12)° + (15x - 8)° = 180°
x = 4
m∠ 5 = 52°
Step-by-step explanation:
Given:
m∠ 1 = 29x + 12,
m∠ 5 = 15x - 8
Since all lines that appear are parallel, therefore, opposite angles of the quadrilateral are congruent.
Therefore, m<1 = m<4 = 29x + 12
m<4 + m<5 = 180° (linear pair)
(29x + 12) + (15x - 8) = 180° (substitution)
The equation above is what we would use in solving for x. Let's solve for x:
29x + 12 + 15x - 8 = 180
Collect like terms
44x + 4 = 180
Subtract 4 from both sides
44x = 180 - 4
44x = 176
Divide both sides by 44
x = 176/44
x = 4
m∠ 5 = 15x - 8
Plug in the value of x
m∠ 5 = 15(4) - 8 = 60 - 8
m∠ 5 = 52°
