Supplementary means they equal 180 when added. Therefore:
X+56+3x=180
Combine common units
4x+56=180
Subtract 56 from both sides
4x=124
Divide by 4
X=31
Now we know the smaller angle is 31 degrees. Now we plug that into the larger angle:
3(31)+56
93+56
149
The larger angle is 149 degrees.
I hope this Helps!
10 - p.
Nicholas would have spent $p, so he has $p less than $10!
Answer:
Keisha =$25
Scott =$19
Ryan = $57
Step-by-step explanation:
Let the amount each have be represented by A, B and C
Keisha = A
Scott = B
Ryan = C
Keisha , Scott and Ryan have a total of $101.
That’s
A + B + C = $101
Keisha has $6 more than Scott
A = 6 + B
Ryan has 3 times Scott
C = 3B
Substitute 6+B for A and 3B for C in the first equation.
That’s
A + B + C = 101
6 + B + B + 3B = 101
6 + 5B = 101
Subtract 6 from both sides
6 - 6 + 5B = 101 - 6
5B = 95
Divide both sides by 5
B = 95/5
B = 19
Scott has $19
Recall Keisha has $6 more than Scott B.
That’s A = 6 + B
A = $6 + $19
A = $25
Keisha has $25
Also, Ryan C has 3 times what Scott B has .
That’s
C = 3 x B
C = 3 x 19
C = $57
Therefore, Keisha has $25, Scott has $19 and Ryan has $57
Answer:
56 yds
Step-by-step explanation:
Simply add up all the sides to find your perimeter:
12 + 12 + 18 + 14 = 56
You need to use the law of sines.
First, we find the measures of the angles x.
x + x + 100 = 180
2x + 100 = 180
2x = 80
x = 40
Now we set up an equation based on the law of sines.

We know one angle (100 deg) and its opposite side (750,000 miles).
Then we know another angle (40 deg) and need to find the opposite side (d).

Now we solve for d. Multiply both sides by sin 40.

Answer: The first choice.