Answer:
Step-by-step explanation:
At the point where two line cut across, the vertically opposite angles formed are equal. This means that
2x degrees = 78 degrees
Dividing the left hand side and the right hand side of the equation by 2, it becomes
2x/2 = 78/2
x = 39
Checking,
The sum of the angles on a straight line is 180 degrees.
180 - 78 = 102 degrees
2x + 102 = 180
2x = 180 - 102 = 78
x = 78/2 = 39
Answer:
x=0. The explanation is below.
Step-by-step explanation:
So, it is run 2 rise 6. We can fact-check that with 1 to 3 to 5 and 1 to 7 to 13. So, the slope is 3 because of rise over run. So, we can make an equation with y = mx + b. m = 3 because that is the slope. 1=3(1) + b. b=-2. So, the equation is y=3x-2. We can find any x using y and vice versa if we find the equation.
For this part, -2=3x-2. 3x=0. x=0.
Try this solution (note, this is not the shortest way):
1. if the given length is 'l' and the width is 'w', then according to the condition 4*l=w;
2. according to the condition the perimeter is 30 ft. Formula of the perimeter is P=2(l+w), then 2(l+w)=30;
3. if to substitute '4*l' instead of 'w', the formula of the perimeter (from item no. 2) will be as 2(4*l+l)=30 or 10*l=30 ⇒ l=3 ft. The length is 3 ft.!
4. if l=3 ft., then w=4*3=12 ft. The width is 12 ft.!
5. Area is
A=w*l; A=12*3=<u>36 ft²</u>
Answer:each student will sell 9 balloons.
Step-by-step explanation:
The total number of balloons sold by the six groups at the carnival is 162. There are 3 students in each group. This means that the total number of students in the six groups would be 6 × 3 = 18 students.
If each student sells the same number of balloons, then it means that the number of balloons that each student sells will be
162/18 = 9
