Answer:
Step-by-step explanation:
angle 6 ang angle 7 congruent (equal to ) because they are alternate interior angles and alternate interior angles are always equal.
angle 6 and angle 5 are congruent(equal to ) because they are vertically opposite angles and vertically opposite angles are always equal.
angle 7 and angle 8 are congrunt (equal ) because they are veritically opposite angles angd vertically opposite angles are always equal.
angle 5 and angle 8 are congruent(equal ) because they are alternate exterior angles and alternate exterior angles are also always equal.
Answer:
D) AD=21
Step-by-step explanation:
QD=1/2 AQ
QD=1/2(14)
QD=7
AQ+QD=AD
AD=14+7
AD=21
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22. Okay. What we need to do for this one is subtract fraction.l, because we are looking for how much more the second container holds than the first. We need to covert them to like denominators, which in this case is 8 5 3/4 = 5 6/8. Because 6/8 is less than 7/8, we need to regroup by adding 8 and turning the 5 into a 4. The problem would become like this: 4 14/8 - 1 7/8. When you subtract both numbers, you get 3 7/8. There. The second container holds 3 7/8 more gallons of water than the first.
23.
a. 15 student speeches will last 1 1/2 minutes each. In this case, we just simply multiply the fractions by multiply straight across. Multiply the top numbers together and the bottom numbers together. 1 1/2 is 3/2 a an improper fraction. Make 15 have a denominator of 1. 15/1 * 3/2 is 45/2 or 22 1/2 as a mixed number. It will take 22 1/2 minutes to give the speeches.
b. Okay. The teacher makes a 15 minute intro. Let’s add the time it takes to make the speeches and the teacher’s intro. 22 1/2 + 15 0/2 is 37 1/2. Yes. There is enough time to record everyone.
c. There are 60 minutes in 1 hour. Subtract the total amount taken on the camera from 60. 0/2 is less than 1/2. Again, regroup by adding 2 to make 2/2, and crossing out 60, so it becomes 59. 59 2/2 - 37 1/2 is 22 1/2. There are 22 1/2 minutes left on the digital camera.
Volume of cube =a^3
2744=a^3
by making prime factors of 2744
2*2*2*7*7*7=a^3
2^3*7*3=a^3
by taking cube root on both sides
2*7=a
14=a
so<span> the length of its edge =14</span>
Answer:
<2 = 90
Step-by-step explanation:
If the lines are perpendicular, the angles are 90 degrees
