Answer:
7. x=3, 8. x=7, 9. x=15.
Step-by-step explanation:
7. If lines m and n are congruent, then angles DCF and CFE are congruent. 15x+3=18x-6. Solve for x. --> 15x+9=18x-->3x=9-->x=3
8.If line m is parallel to line n, then the corresponding angles are congruent. So, 20x+1=22x-13 Solve for x. 20x+14=22x-->14=2x-->x=7.
9. The supplementary angle of 110 is 70. Note that all of the inner angles of a triangle are equal to 180. Form an equation using the the values: (4x+8)+(2x+12)+70=180. Simplify; 6x+90=180. Solve for x: 6x+90=180-->6x=90-->x=15.
Hope this helps!
Answer:
324
Step-by-step explanation:
Answer:
option D
Step-by-step explanation:
An architect plans to make a drawing of the room of a house. The segment LM represents the ceiling of the room. He wants to construct a line passing through Q and perpendicular to side LM to represent a wall of the room. He uses a straightedge and compass to complete some steps of the construction, as shown below:
Answer:
The volume of sphere is 
.
Step-by-step explanation:
We have,
Radius of a sphere is 18 units.
It is required to find the volume of sphere.
The formula of the volume of sphere in terms of radius is given by :
Plugging all values in above formula
So, the volume of sphere is .
