Answer:
20 degrees
Step-by-step explanation:
Since angle B and angle A are both inscribed angles to the same arc, they must be equal. Therefore:
7x-8=5x
Subtract 5x from both sides:
2x-8=0
Add 8 to both sides:
2x=8
Divide both sides by 2:
x=4
Now, you can plug this back into the equation for angle B:
B=7(4)-8
B=28-8
B=20
Hope this helps!
Answer:
$2000
Step-by-step explanation:
let x be the money she invested
lets assume this was for 1 year
0.09(x/2) + 0.07(x/2) = 160
multiply each side by 2 to cancel the denominators:
0.09x + 0.07x = 320
0.16x = 320
x = 2000
Answer:
-- Proved
Step-by-step explanation:
Given
Required
Show that
The volume is calculated as:
Open the brackets
Collect Like Terms
Divide through by 4
Solving further:
Expand the expression
Factorize:
Split:
Answer:
1/4
Step-by-step explanation:
First, add up the marbles:
2 + 9 + 7 = 18
Multiply by 2 because you pick two:
18 × 2 = 36
Simplify:
9/36 = 3/12 = 1/4
Hope this helped.
Answer:
c.12
Step-by-step explanation:
Using the concept of sample space, it is found that the number of possible outcomes in the experiment is given by:
C. 12
The sample space of an experiment is the set that contains all possible outcomes.
In this problem:
For the coin, there are 2 outcomes.
For the dice, there are 6 outcomes.
The coin and the dice are independent, thus, there are 2 x 6 = 12 possible outcomes, which means that the correct option is:
C. 12
