Answer:
x = 60°
Step-by-step explanation:
See picture below. When two parallel lines are cut by a transversal there are some special relationships.
To answer this question, we must find the slope of line b.
We have then:
b = (3 - (- 2)) / (2 - (- 3))
b = 5/5
b = 1
Since the lines b and c are parallel, it follows that their slopes are equal.
Then
mc = b = 1
Answer:
The slope of line c is:
mc = 1
Answer:
$275
Step-by-step explanation:
So she put $60 into savings....
X is the amount of her paycheck...
after buying the clothes she had X-75
She spend (2/5)(x-75) on books
The amount deposited into saving and spent on groceries totals 120.
So
X = 75 + (2/5)(x-75) + 120
X = (2/5)(X-75) + 195
X = (2/5)X - 30 + 195
X = (2/5)X + 165
(3/5)X = 165
X = 165*5/3 = 5*55 = 275
Starts with 275
spent 75 on clothes, which makes it 200.
2/5 of 200 is 80, which makes it 120.
60 deposited into savings and 60 on groceries
Her paycheck was 275
The sentence sequence is "BDAC".
<u>Step-by-step explanation</u>:
- Derek is rolling a die many times and he is recording when he rolls a dice of three. So we have to identify from largest to smallest.
- The first largest is 30 times. Because of 3*10=30, so he rolls three ten times. So the first option is B.
- The second largest is 20 times. Derek rolled dice three-six times because of 3*6=18. So the second option is D.
- The third-largest is 10 times. In this, he rolls three times. Because of 3*3=9. So the option is A.
- The final option is C. Derek rolls five times. 3*1=3. In this, he rolled only one time. So the sequence is BDAC.
