The correct answer is B. Hope this helps!
Answer:
Step-by-step explanation:
<u>Angles and Lines</u>
It's convenient to recall two basic principles of angles:
The sum of internal angles in a triangle is 180°
Two linear angles are supplementary, i.e. they sum 180°.
Angles ABC and CBD are linear. Since we know the measure of angle CBD, thus the measure of angle ABC is 180°-6x.
Now focus on the triangle. The sum of its internal angles is:
x + 40 + 3x + 10 + 180 - 6x = 180
Simplifying:
-2x + 230 = 180
Subtracting 230:
-2x = -50
Dividing by -2:
x = -50 / (-2) = 25
x = 25°
Now find the measure of angle CAB
Answer:
7 quarters, 8 nickels
Step-by-step explanation:
So the system of equations you have is:
x + y = 15
0.25x + 0.05y = 2.15
Here's how to solve:
first, multiply both sides of the equation 0.25x + 0.05y = 2.15 by 100 to get rid of the decimal places:
25x + 5y = 215
Then, you can divide both sides by 5 to simplify it more:
5x + y = 43
Now, you have the system of equations:
5x + y = 43
x + y = 15
Now subtract the two equations:
4x = 28
divide both sides by 4
x = 7
plug x = 7 into the equation x + y = 15 to solve for y:
7 + y = 15
subtract 7 from both sides
y = 8
So you know that there are 7 quarters and 8 nickels.
Answer:
yes.
Step-by-step explanation:
it is correct
Mrs. Randall is receiving a £7.05 raise, and her new weekly wage is £242.05
Steps I took to get this answer:
Multiply 235 by 0.07 (7%) to get 7.05.
Add that to the current wage, 235, and you will get the answer of 242.05
