The computation shows that the change in points is 89 3/4 points.
<h3>How to compute the value?</h3>
From the information, at the beginning of the day the stock market goes down 30 3/4 points and stays at this level for most of the day and at the end the stock market goes up 120 1/2 points.
Therefore, the change will be:
= 120 1/2 - 30 3/4
= 89 3/4
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Answer:
m = 15
Step-by-step explanation:
Since ∆ABC ~ ∆QRS, this implies that the ratio of their corresponding side lengths are equal. Thus:
QR/AB = QS/AC
QR = m
AB = 10
QS = 9
AC = 6
Plug in the values
m/10 = 9/6
m/10 = 3/2
Cross multiply
2*m = 3*10
2m = 30
m = 30/2
m = 15
Answer: 16 units
Step-by-step explanation:
Given that in triangle ABC, m∠C=90,
it means m∠A +∠B= m∠BAC + m∠ABC = 90
m∠ABC = 90 - m∠BAC
Also given that;m∠BAC = 2m∠ABC
So,
m∠BAC = 2(90 - m∠BAC) = 180 - 2m∠BAC
m∠BAC +2m∠BAC = 180
3m∠BAC = 180
m∠BAC=180/3 = 60
m∠ABC = 60/3 = 30
thus,ΔBAC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:BC=1:√3, AC=BC/√3BC=24, So,
AC=24/√3=8√3AL bisects angle A =>m∠LAC=30
ΔALC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:AL=√3:2AL=2AC/√3=2x8√3/√3=16
Answer:
36 pounds
Step-by-step explanation:
Step 1: Divide the 2 and 24 = 12
Step 2: Add 2+1 = 3
Step 3: 3×24= 36 pound
Hope this helps :)
2.44346x is 140 80 is 1.39626 5x is is an incomplete math problem