The answer is 1/20 .............
15. In a similar figure the sides are proportional. So you have to say which ratio of sides is also proportional or which sides are equal to the fraction 44/35.2
it would be c because :
44/35.2 = 132/105.6
16. same thing with similar triangles. if the length of sides are similar then so is perimeter. So so we find the ratio of the side lengths. We we know sq is 6 and qt is 24. So st is 30. So so the line st and sq are matching and similar so we compare their lengths and get a ratio
sq * x = st
6 * x = 30
x = 5
So so the perimeter is 5 times more than small triangle so
5 * 20 = 100
17.similar side is 0.5 and 3.6 so ratio is 3.6/0.5. we know she is 1.8 talk so
1.8 * 3.6/0.5 = 12.96
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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:
i). x³ + 9x² + yz - 15
ii). -21m³np - 8p⁵q + mnp + 4mn + 100
Step-by-step explanation:
Question (38)
i). Two expressions are -5x² - 4yz + 15 and x³+ 4x²- 3yz
By subtracting expression (1) from expression (2) we can the expression by addition which we can get expression (1).
(x³+ 4x²- 3yz) - (-5x² - 4yz + 15) = x³ + 4x² - 3yz + 5x² + 4yz - 15
= x³ + 9x² + yz - 15
ii). -15m³np + 2p⁵q - 6m³pn + mnp + 4mn - 10qp⁵+ 100
= (-15m³np - 6m³np) + (2p⁵q - 10qp⁵) + mnp + 4mn + 100
= -21m³np - 8p⁵q + mnp + 4mn + 100
