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:
-5/7
Step-by-step explanation:
Do you want one?
Answer:
There are 16 Oak tree in the forest.
Step-by-step explanation:
Given: There are 4 Oak tree on every 10 pine trees.
There are total 24 more pine tree than Oak tree.
Using the ratio of trees to find the number of trees.
Lets assume there are total number of Oak tree be "x".
∴ Total number of Pine trees will be
We know the ratio of Oak to Pine tree is 4:10 or
⇒
Multiplying both side by
⇒
Using distributive property of multiplication, distributing 4 with x and 24.
⇒
Multiplying both side by 10
⇒
subtracting both side by 4x
⇒
dividing both side by 6
⇒
∴
Hence, There are 16 Oak trees in the forest.
The equation is y = 2/3x + 1
explanation: if you look at 1 on the y axis, you can see the that the line rises by 2, and goes right by 3