4. I think 4 is 128
16x16=256 and divide that by 2 and its 128
The actual amount that needs to be divided = 85
The ratio in which the amount needs to be divided = 2:3:5
Let us assume the common ratio to be = x
Then
2x + 3x + 5x = 85
10x = 85
x = 85/10
= 8.5
Then
The ratio in which the number 85 will be divided = 2 * 8.5:3 * 8.5:5 * 8.5
= 17:25.5:42.5
So from the above deduction we can see that the number 85 can be divided in the ratio 17:25.5:42.5
Answer:
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Step-by-step explanation:
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Answer:
m∠M = 79°
m∠N = 66°
Step-by-step explanation:
∠MPN is supplementary to ∠MPQ, so m∠MPN = 35
The sum of the measures of a triangle is 180.
So, m∠M + m∠N + m∠MPN = 180
5y + 4 + 4y + 6 + 35 = 180
9y + 45 = 180
9y = 135
y = 15
m∠M = 5y + 4 = 5(15) + 4 = 75 + 4 = 79
m∠N = 4y + 6 = 4(15) + 6 = 66
Another way to do this problem, which is easier, is to know that an exterior angle of a triangle is equal to the sum of the two remote interior angles.
That means 5y + 4 + 4y + 6 = 145
9y + 10 = 145
9y = 135
y = 15
From knowing the value of y you can now find the measures of angles M and N
Answer:
Your answer to the problem is D