Answer: x= 5
Step-by-step explanation: If angles 1 and 2 are supplementary, that means they add up to 180. So if angle 1 is 87, angle 2 has to be 180-87=93. Then the equation would be 15x+18=93. Subtract 18 on both sides. 15x=75. Divide by 15 and your answer is 5.
Answer:
the means absolute deviation is 1.8
the striking deviation is 7
(it is because the data point on the far right of the graph)
Step-by-step explanation:
calculate the absolute deviation:
1. calculate the mean (add all numbers and divide by 10) = 2.6
2. find the absolute value of each
2.6 - 0 = 2.6
2.6 - 1 = 1.6 (you have 1's 4 times so each one will be 1.6)
2.6 - 3 = 0.4
2.6 - 4 = 1.4 (you have 4's 3 times)
2.6 - 7 = 4.4
3. Then add all of those values together
2.6 + 1.6 + 1.6 + 1.6 + 1.6 + 0.4 + 1.4 + 1.4 + 1.4 + 7.4 = 18
4. find the mean of the difference
18/10 = 1.8
a/b * b/c * c/d * d/e is equal to a/e provided that b, c, d,
and e are not zero
PROVE
a/b * b/c * c/d * d/e
= (a/b *b/c) * (c/d * d/e)
= ab/bc * (c/d * d/e)
= a/c * (c/d * d/e)
= a/c * (cd/de)
= a/c * c/e
= ac/ce
= a/e
Therefore, a/b * b/c * c/d * d/e is equal to a/e provided that
b, c, d, and e are not zero
Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>
Answer: 44 bowls
Step-by-step explanation:
94.6 divided by 2.15 = 44 bowls of soup
***If you found my answer helpful, please give me the brainliest. :) ***