Answer:
The answer is C) 2
Step-by-step explanation: I hope you get this right also.
Step-by-step explanation:
b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.
so,
b = 40°
due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.
so, angle c must be equal to angle b.
c = 40°
and as the sum of all angles in a triangle is always 180°, d is then
d = 180 - 40 - 40 = 100°
the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.
interior angle to a = 180 - 100 = 80°
due to the symmetry again, the arc angle opposite to a is the same as a.
as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.
so, we have
(a + a)/2 = 80
2a/2 = 80
a = 80°
there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.
Use elimination method - I am eliminaing the y-variable.
1(5x + 8y = 16) → 5x + 8y = 16
4(6x - 2y = 54) → 24x - 8y = 216
Add equations: 29x = 232
Divide by 29: x = 8
Answer: x = 8
STEP 1:
BAGS OF FOUR
find number of bags needed to total 74 apples
= 74 ÷ 4 apples/bag
= 18.5 bags
*must round up to 19 bags because we cannot buy a partial bag
STEP 2:
BAGS OF FOUR
calculate price of 19 bags of 4 apples per bag
= 19 bags * $5/bag
= $95 for 19 bags of 4 apples/bag
STEP 3:
BAGS OF SIX
find number of bags needed to total 74 apples
= 74 ÷ 6 apples per bag
= 12.3333 bags needed
*must round up to 13 bags because we cannot buy a partial bag
STEP 4:
BAGS OF SIX
calculate price of 13 bags of 6 apples per bag
= 13 bags * $7 per bag
= $91 for 13 bags of 6 apples/bag
ANSWER: The smallest cost to buy 74 apples is $91.
Hope this helps! :)
Answer: The distance between W and X
if it helps, jump from the dash under W to the next dash until you get to X, you'll get 5 units
Hope this helps you and I hope you have a nice day :)
