10.) The measure of angle 1 is 131° according to the Alternate Interior Angles Theorem. The measure of angle 2 is 49° because 180° - 131° = 49°. I can do this because of the Linear Pair Postulate.
11.) The measure of angle 1 is 65° according to the Vertical Angles Theorem. The measure of angle 2 is 65° according to the Corresponding Angles Theorem.
Hope this helps!
The unit rate for the nearest cent per once for each size is 0.24 : 0.19
Answer:
There are 1,892,800,000 different standard plates that are possible in this system
Step-by-step explanation:
The plates follow the following format:
D - D - L - L - L - D - D - D
For each digit there are 10 possible outcomes, and for each letter there are 26 possible outcomes.
So, there are
10*10*26*26*28*10*10*10 = 1,892,800,000
different standard plates that are possible in this system
Answer:
9
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Explanation:
The area of the parallelogram is equal to the base times height. The formula to use is A = b*h. The height and base are always perpendicular to one another.
The base is some unknown variable b. Multiply the base by the height 15 to get 15*b which is equal to the area 135
Therefore, 15*b = 135
Divide both sides by 15 and we isolate b
15b = 135
15b/15 = 135/15
b = 9
So the base is 9
Check:
area = base*height = 9*15 = 135
so the answer is confirmed
side note: we never use the value 17 at all. It is likely put in there as a distraction.
Step-by-step explanation:
Answer:
<em>75.408 ft</em>
Step-by-step explanation:
In 20 minutes, the angle swept by a minute hand is calculated as
(20/60) x 360° = 120°
The length of the minute hand = 36 ft
To calculate the distance moved by the minute hand, we solve for the fraction of the circumference of a circle swept by the minute hand in going through this 20 min.
we use the expression
Distance moved by the tip of the minute hand d = (θ/360) x 2πR
where
θ is the angle swept in the 20 minutes = 120°
R is the length of the minute hand, which is the radius of the circle formed if the minute hand moves completely in a 360° motion round the clock.
R = 36 ft
substituting values, we have
d = (120/360) x (2 x 3.142 x 36) = <em>75.408 ft</em>
