So 65% off means find 65 percent of orignal price and subtract from original price
percent means parts out of 100 so
65%=65/100
'of' means multiply
65% of 549=65/100 times 540=35100/100=351/1=351
351 is disctount
subtract
549-351=198
answer is $198=sale price
Answer:
See below
Step-by-step explanation:
3 and 5 have a LCM of 15 which is 3 * 5
Answer:
From the sum of angles on a straight line, given that the rotation of each triangle attached to the sides of the octagon is 45° as they move round the perimeter of the octagon, the angle a which is supplementary to the angle turned by the triangles must be 135 degrees
Step-by-step explanation:
Given that the triangles are eight in number we have;
1) (To simplify), we consider the five triangles on the left portion of the figure, starting from the bottom-most triangle which is inverted upside down
2) We note that to get to the topmost triangle which is upright , we count four triangles, which is four turns
3) Since the bottom-most triangle is upside down and the topmost triangle, we have made a turn of 180° to go from bottom to top
4) Therefore, the angle of each of the four turns we turned = 180°/4 = 45°
5) When we extend the side of the octagon that bounds the bottom-most triangle to the left to form a straight line, we see the 45° which is the angle formed between the base of the next triangle on the left and the straight line we drew
6) Knowing that the angles on a straight line sum to 180° we get interior angle in between the base of the next triangle on the left referred to above and the base of the bottom-most triangle as 180° - 45° = 135°.
Answer:
B. x ≥ 2
Explanation:
<em>hey there,</em>
<em />
< 54-10x ≤ 20+7x
This is kind of simplified as if it was an equation with "=". First, put all the "x"s to one side.
54-10x-7x ≤ 20
Put all the regular numbers to the other side.
-10x-7x ≤ 20-54
Continue simplifying:
-17x ≤ -34
When finishing up this to try to find "x", you are going to change the sign to the opposite (since here it is greater than or equal to, you're going to change it to less than or equal to). The sign is going to change because the numbers being dragged over are negative. This is just a rule you have to follow. So:
x ≥ 2 is your final answer. >
<u>Hope this helped! Feel free to ask anything else.</u>
(Also for future reference, you can add your question in the question box instead of into the comments.)
Answer:
<em>Neither SSS nor SAS apply.</em>
Step-by-step explanation:
SSS (Side-Side-Side)-
If three pairs of sides of two triangles are equal in length, then the triangles are congruent.
SAS (Side-Angle-Side)-
If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent.
It given in the picture that,
- AC = AD (Side)
- BC = DE (Side)
- m∠BAC = m∠EAD (Angle)
So, ΔABC and ΔAED will not be congruent by either SSS or SAS.