Answer:
x equals 9.
The largest angle is 90.
Step-by-step explanation:


Answer:
2 solutions
Step-by-step explanation:
Since the equations are not equal, they provide two solutions. Negative numbers provide no solutions. If they are equal to zero, they have one solution.
Answer:
C) 273 ft²
Step-by-step explanation:
7x11x3=231
2x1/2x7x6=42
231+42=273
Two angles are said to be supplement when their measure add up to 180 degrees.
Assume that the angle we are looking for is a and its supplement is s (I used s instead of x).
a + s = 180
a = 180 - s ......> equation I
We know that <span>the measure of the angle is eight times greater than its supplement.
This means that:
a = 8s ......> equation II
Substitute by equation II in equation I to get s as follows:
180 - s = 8s
180 = 9s
s = 20 degrees
Substitute in equation I to get the measure of the angle as follows:
a = 180 - s = 180 - 20 = 160 degrees
Based on these calculations:
The measure of the angle is 160 degrees
The measure of its supplement is 20 degrees</span>
Answer:
a. 4 : 1
b. 2 students
c. 3 : 1
Step-by-step explanation:
a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:
12 : 3
Take it to the lowest form by dividing both sides by 3:
= 4 : 1
b. There were 4 students with a D grade and 8 with a B. The ratio is:
= 4 : 8
Taken to the lowest form that would be:
= 1 : 2
This means that for every student receiving a D, 2 students received an A.
c. 12 students received a C and 4 students received a D. That ratio is therefore:
= 12 : 4
Take to the lowest form by dividing both sides by 4:
= 3 : 1