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GREYUIT [131]
3 years ago
10

If m∠NLO = 41° and m∠NLM = 88°, what is m∠OLM?

Mathematics
1 answer:
puteri [66]3 years ago
5 0

Answer:

47°

Step-by-step explanation:

Given that m<NLO = 41°, and m<NLM = 88°, according to angle addition postulate, m<OLM + m<NLO = m<NLM

Therefore, subtracting m<NLO from both sides will give us:

m<OLM = m<NLM - m<NLO

m<OLM = 88° - 41°

m<OLM = 47°

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Step-by-step explanation:

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2 years ago
A flying cannonball’s height is described by formula y=−16t^2+300t. Find the highest point of its trajectory. In how many second
Yakvenalex [24]
<span>Highest point = 1406.25 Number of seconds = 9.375 We've been given the quadratic equation y = -16t^2 + 300t which describes a parabola. Since a parabola is a symmetric curve, the highest value will have a t value midway between its roots. So using the quadratic formula with A = -16, B = 300, C = 0. We get the roots of t = 0, and t = 18.75. The midpoint will be (0 + 18.75)/2 = 9.375 So let's calculate the height at t = 9.375. y = -16t^2 + 300t y = -16(9.375)^2 + 300(9.375) y = -16(87.890625) + 300(9.375) y = -1406.25 + 2812.5 y = 1406.25 So the highest point will be 1406.25 after 9.375 seconds. Let's verify that. I'll use the value of (9.375 + e) for the time and substitute that into the height equation and see what I get.' y = -16t^2 + 300t y = -16(9.375 + e)^2 + 300(9.375 + e) y = -16(87.890625 + 18.75e + e^2) + 300(9.375 + e) y = -1406.25 - 300e - 16e^2 + 2812.5 + 300e y = 1406.25 - 16e^2 Notice that the only term with e is -16e^2. Any non-zero value for e will cause that term to be negative and reduce the total value of the equation. Therefore any time value other than 9.375 will result in a lower height of the cannon ball. So 9.375 is the correct time and 1406.25 is the correct height.</span>
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3 years ago
Relationship in Figures
lubasha [3.4K]

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Step-by-step explanation:

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8 0
3 years ago
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ludmilkaskok [199]

Answer:

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Step-by-step explanation:

First you want to know what the slope intercept form is. y = mx + b. Now take two points from the table and put them in the equation  and get the slope of 3. Now we have y = 3x + b. To find b we need to plug in any point into the equation. I chose (-1, -1). -1 = 3(-1). Solve and you get 2. Now we are left with y = 3x + 2

6 0
3 years ago
Read 2 more answers
Find the value of X. Show work!!!
barxatty [35]

Answer:

x = -10

Angle 2 = 49°

Angle 3 = 49°

Step-by-step explanation:

In the given figure, it's an isosceles triangle

so, angle 2 = angle 3

( since their opposite sides are equal )

now,

in the given triangle,

=》Angle 2 + Angle 3 + 82° = 180°

( sum of all interior angles of the triangle = 180° )

=》Angle 2 + Angle 3 = 180° - 82

=》Angle 2 + Angle 3 = 98°

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=》Angle 2 = 49°

so, Angle 2 = 49° = Angle 3

now,

Angle 2 = x + 59

=》49 = x + 59

=》x = 49 - 59

=》x = -10

6 0
2 years ago
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