Answer:
Eleanor was curious if triangles DEF and GHI were similar, so he tried to map one figure onto the other using rigid transformations Eleanor concluded "It's not possible to map triangle DEF on GHI using a sequence of rigid transformations, so the triangles are not similar. ... So the triangles are similar.
Step-by-step explanation:
The probability of getting the correct order in the spelling bee is 1 chance in 362,880.
This is a permutation problem. Our goals is to find the total number of ways that the 9 students can be ordered.
For the first spot there are 9 choices, then 8 choices, then 7 choices....
We need to evaluate:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880
Another way to write this is: 9!
You must earn 243 points to have earned 93% of all possible points.
We first multiply each percentage on the previous tests by 150:
0.88*150 = 132
0.94*150 = 141
0.9*150 = 135
The total number of points possible is given by adding up the possible points for the three previous tests and the 250 for the last test:
150+150+150+250 = 700
93% of the 700 points would be 0.93(700) = 651 points.
Now we have 132+141+135+x (last test) = 651
408 + x = 651
Subtract 408 from both sides:
408+x-408 = 651-408
x = 243
Answer:
w=67°
Step-by-step explanation:
First you solve for x. 12x+11=x. X would be 1. Then you plug in 1 for x and add the w to the equation. 12(1)+11+w=90. after solving that you will get the total for w. which should be 67°
9+3 =12
12/4 = 3
(3)2-4(3)-3
6-12-3
-9 is the answer
