Answer:
m∠3 = 105°
Step-by-step explanation:
Line 'l' is parallel to line 'm' and a transversal is intersecting these parallel lines at two distinct points.
m∠3 + m∠6 = 180° [Consecutive interior angles]
Since, ∠6 = 75° [Given]
m∠3 + 75° = 180°
m∠3 = 180 - 75
= 105°
Therefore, measure of ∠3 is 105°.
To calculate slope; rise/run
Triangle ABC: run-1 rise-5 slope-5
5 rise/ 1 run (5/1)=5
Triangle DEF: run-2 rise 10 slope-5
10 rise/ 2 run (10/2)=5
B. They are equal because the two triangles are similar
Answer:
7pi/6
Step-by-step explanation:
Using the formula for arc length in radians, we get:
- 14pi = 12(theta)
- theta = 7pi/6 [divide both sides by 12]
Answer:
18 books done and 6 books left
Step-by-step explanation:
24 *3/4 = 18
First,you do,2/5+2/3,but since you will need a common denominator,you will find the least common denominator for 5 and 3.The LCD(Least Common Denominator) will be 15 since both 5 and 3 could go in 15.Now,the equation looks like this: 2/15+2/15 since whatever you do to the bottom numbers,you NEED to do to the top numbers:2 and 2.Now you will need to do,2x3,since 5x3=15 and the answer to 2x3=6 then you do 2x5,since 3x5=15 the answer is 10 now the equation looks like this:6/15+10/15 now you add them together,and the answer will be 16/15 and if you want the answer to be a mixed number,it would look like this: 1 1/15. Hope this helps!
