You can either do;
1. 90(2) = 100(2)
180 = 200
In 3 minutes, they can write 200 words. So now we can divide by 3.
3/3 = 1 minute
200/3 ≈ 66.666
or
2. 90/3 = 30 secs
100/3 ≈ 33.333
30(2) = 1 minute
33.333(2) ≈ 66.666
Either way, the admin assistant can write 67 words per minute. (Rounded to the nearest whole)
Answer:
d.
Step-by-step explanation:
Let's examine each statement:
Option A: m<CUD = m<VUM (CORRECT)
Rationale: vertical angles are congruent to each other.
Option B: m<AUV + m<DUA = 180 (CORRECT)
Rationale: angles on a straight line
Option C: m<MUC - m<MUD = m<CUD (CORRECT)
Rationale:
m<MUC = m<MUD + m<CUD
Subtract m<MUD from each side
m<MUC - m<MUD = m<CUD
Option D is FALSE
Rationale:
m<PUD + m <VUP = 180° (angles on a straight line)
m<PUM + m<CUA ≠ 180°
Therefore,
m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.
Answer:
(a) 900
(b) 648
(c) 180
(d) 600
Step-by-step explanation:
If there are no restrictions, there are 10 possible values for each digit of a three-digit number.
(a) The leading digit cannot be zero
There are 9 options for the first digit and 10 for the remaining digits.

(b) The leading digit cannot be zero and no repetition of digits is allowed.

(c) The leading digit cannot be zero and the number must be a multiple of 5.
If a number is a multiple of five, it must end in 0 or 5

(d) The number is at least 400.
If the number is at least 400, the first digit can only be 4, 5, 6, 7, 8 or 9. There are no restrictions for the remaining digits.

Answer: there are 16 blocks
Step-by-step explanation: