Answers and Step-by-step explanations:
9-18.
a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.
Then, we can just solve for x by subtracting 30 and 115 from both sides:
x = 180 - 115 - 30 = 35 degrees
b) Again all three angles should add up to 180, so:
x + x + x = 180 ⇒ 3x = 180 ⇒ x = 180/3 = 60 degrees
9-19.
a) These angles add up to 180:
2x + x + 30 = 180 ⇒ 3x + 30 = 180 ⇒ 3x = 150 ⇒ x = 50
2x = 50 * 2 = 100
The missing angles are 100 degrees and 50 degrees.
b) Again, these add up to 180:
x + 10 + x + 90 = 180 ⇒ 2x + 100 = 180 ⇒ 2x = 80 ⇒ x = 40
x + 10 = 40 + 10 = 50
The missing angles are 50 degrees and 40 degrees.
Hope this helps!
Answer:
d/7 = c
Step-by-step explanation:
-5c+d=2c
Add 5c to each side
-5c+5c+d=2c+5c
d = 7c
Divide each side by 7
d/7 = 7c/7
d/7 = c
Answer:
19.334
Step-by-step explanation:
First I multiplied.
15.24 x 1.64 = 24.9936
Then I convert my answer to British pounds.
24.9936 = 19.334 British Pound Sterling
Have a blessed day and hope this helps.
Answer:
- <u>The complement of spinning any number less than 3, is spinning a number equal to or greater than 3.</u>
Explanation:
The complement of a subset is the subset of elements that are not in the given subset.
You must know which numbers the spinner has.
Assuming the spinner has the numbers 1, 2, 3, 4, the complement of spinning any number less than 3, is spinning a number that is not less than 3.
Then, that is spinning a number that is equal to or greater than 3.
The numbers that are equal to or greater than four, for a spinner that has the numbers 1, 2, 3, and 4 are 3 and 4.
Thus, the complement of spinning any number less than 3 is spinning a three or a four.
Answer:
slope of (16,8) (8,4) is 1/2
