Round 2.81 to 2.8 and 3.72 to 3.7. Add both together to get 6.5
<h3>
Answer: 226 degrees</h3>
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Explanation:
Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure
arc DC = arc CB
12x+7 = 18x-23
12x-18x = -23-7
-6x = -30
x = -30/(-6)
x = 5
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Use this x value to find the measure of arcs DC and CB
- arc DC = 12x+7 = 12*5+7 = 67
- arc CB = 18x-23 = 18*5-23 = 67
We get the same measure for each, which helps confirm we have the correct x value.
The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer
arc DAB = 360-(arc DCB) = 360-134 = 226 degrees
I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.
Answer:
x = 45
Step-by-step explanation:
Given
= 9
Multiply both sides by 5
x = 5 × 9 = 45
Step-by-step explanation:
Total amount of cookies = 4250
butter cookies, b
Almond cookies, a
Chocolate cookies, c
It made 715 more butter cookies than
almond cookies
b = a + 715
It made 5 times as many chocolate cookies as almond
5a = c
Total amount of cookies
= a + b + c
= a + (a+715) + (5a)
= 7a + 715
7a + 715 = 4250
7a = 4250-715
a = 3535 / 7
a = 505
c = 5a
= 5 (505)
= 2525
The factory make 2525 chocolate cookies.
The 2 statements are identical even if one has absolute value
