Answer:
Step-by-step explanation:
1 1/5 of 1 1/2 meters
= (1+1/5) x (1+1/2)
= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2
= 1 + 1/2 + 1/5 + 1/10
= 1 + (1x5+1x2+1)/10
= 1 8/10
= 1 4/5 meters
Answer:
12
Step-by-step explanation:
Use the Pythagorean theorem which is a^2 + b^2 = c^2
c is hypotenuse and a and b are the legs
we need to find a^2 so
a^2 + 16^2 = 20^2
a^22 + 256 = 400
then subtract 256 from 400
a^2 = 144
square root 144
= 12
As shown in the given figure
line a // line b ⇒ given
MR and NP are transversals
So, for ΔMOP and ΔRON , we can conclude the following
(1) ∠1 = ∠2 ⇒⇒⇒ alternative angles are congruent
(2) ∠ MOP = ∠ RON ⇒⇒⇒ vertical angles are congruent
(3) ∠ 4 = ∠ 3 ⇒⇒⇒ alternative angles are congruent
So, from 1,2 and 3
∴ ΔMOP <span>~ </span>ΔRON by AAA-Rule
Answer:
1st, 3rd, and 6th
Step-by-step explanation:
Let's look at each statment...
1.) Correct
Explanation: 10 percent of the students at the school participate in soccer. If 140 is 10% of the number of students at the school, there is more than 140 students at this school.
2.) Incorrect
Explanation: We've already established that the # of students at the school is <u>more</u> than 140.
3.) Correct
Explanation: 10% as a decimal is 0.1 Divide 140 by 0.1 and you get 1,400. So, the total number of students is 1,400.
4.) Incorrect
Explanation: We've already established that the number of students is 1,400, not 290.
5.) Incorrect
Explanation: We've already established that the number of students is 1,400, not 150.
6.) Incorrect
Explanation: If the percent was a ratio, it would be 10:100 or 10/100. This is because a whole percent is 100% and the percent of students who play soccer is 10%.
7.) Correct
Explanation: We've already established that the ratio would be 10:100 or 10/100. Thus, this is correct.
I hope this helps! :)