Answer:
The larger angle <K, has a measure of 120 degrees.
Step-by-step explanation:
So, a supplementary angle are two or more angles that combine to form a 180 degree straight line. So here, we need to set up an algebra equation.
2x = the larger angle (because it's two times the smaller angle)
x = the smaller angle
So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees
2x + x = 180
3x = 180
x = 60
Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle. Remember, we represented the larger angle as 2x.
2 time 60 is 120, so the larger angle is 120 degrees
Hope that helps :)
Hi there!

Work out the parenthesis.

Combine like terms.

Subtract 9 from both sides.

Subtract 4x from both sides

Divide both sides by -9
Answer:
5/4in
Step-by-step explanation:
The initial length:
1 ft = 12 in
8 ft = 8 * 12 in
= 96 in
The final length:
7 ft 10 3/4 in = 7 ft + 10 in + 3/4 in
= 7 * 12 in + 10 in + 3/4 in
= 84 in + 10 in + 3/4 in
= 94 in + 3/4 in
The final length:
96 in - 94 in - 3/4 in = 2 in - 3/4 in = 8/4 in - 3/4 in = 5/4 in
290
Because 2*100= 200
and 9 is 9 more than 0
Answer:
Total number of students surveyed about their mode of transportation to school is 400.
Step-by-step explanation:
Here, given student who uses car as their mode of transport = 120 students
We have to find the total number of students who are surveyed.
Also, since complete circle represents 100% of data,
Total students who uses at least one mode of transport out of foot, bicycle, bus or car let it be x students.
Total percentage of students that uses bus, bicycle and on foot = (20 +15+35)% = 70%
Thus, percentage of students that uses car = 100 - 70 = 30%
Thus, 30 % of total students = 120
Mathematically, 30% of x = 120
Solving for x, we get,



Thus, total number of students surveyed about their mode of transportation to school is 400.