Answer:
m<NQS = 32°
Step-by-step explanation:
Given:
m<BQS = 80°
m<BQN = 48°
Required:
m<NQS
SOLUTION:
Angle BQN and angle NQS are adjacent angles having a common line, QN, and a common corner point, Q.
Therefore:
m<BQN + m<NQS = m<BQS (angle addition postulate)
48° + m<NQS = 80° (substitution)
m<NQS = 80 - 48° (Subtraction of 48 from each side)
m<NQS = 32°
Answer:
The first one
Step-by-step explanation:
The number line is supposed to show the product of 2 and five, the arrow will start at 0 because 5 times 0 is 0 then it will go to 5 because 5 times 1 is 5, then another arrow will start at 5 and point at 10 because 5 times 2 is 10
The second option points backwards which would be if you were dividing 10 by 5
The third option starts at negative 10 so it shows -10 divided by -5
the last option starts at 0 and goes to -10 so it shows -5 multiplied by 2
The difference in temperatures is 54+12, so the difference is 66
Answer:
Ahmed runs 6 miles each day
Step-by-step explanation:
∵ Ahmad runs m miles each day
∵ Ali runs twice as many miles as Ahmad
→ That means Ali runs 2 × m miles each day
∴ Ali runs 2m miles each day
∵ Altogether, they run 18 miles each day
→ Add m and 2m, then equate the sum by 18
∴ m + 2m = 18
∴ 3m = 18
→ Divide both sides by 3 to find m
∵ 
∴ m = 6
∵ m represents the number of miles that Ahmed runs each day
∴ Ahmed runs 6 miles each day
Answer:
√5
Step-by-step explanation:
We suppose the vertices are named clockwise around the top of the cube, then clockwise around the bottom (looking down from above the cube), with vertex E below vertex D. Then line AD is in plane ADEF, and line BM is in plane BCHG.
The distance between the named parallel planes is the distance between the lines. That distance is AB, which is given as √5.
_____
A diagram helps.
