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Andrews [41]
2 years ago
11

If L (-5,4),M(2,2), N(0,-3), S(-7,-1), what is the length of diagonal LN

Mathematics
1 answer:
zhannawk [14.2K]2 years ago
7 0

The length of the diagonal LN would be 8.60 units.

To find the distance between the two coordinates, We use distance formula ;

d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}
Lets put the values of L and N,
d= \sqrt{(0 - -5)^2 + (-3-4)^2}

d =\sqrt{25+49}

d= \sqrt{74}

d= 8.60 units

Learn more about Distance formula on:

https://brainly.ph/question/24546230

#SPJ10

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Explain the connection between ∠2 and ∠B.
liraira [26]

Answer:

∠2 ≅ ∠B

Step-by-step explanation:

Let the triangle be ABC,

Given that,

∠A = 50°

∠C = 65°

Using angle-sum property of the triangle,

∠A + ∠B + ∠C = 180°

50° + ∠B  + 65° = 180°

∵ ∠B = 65°         ...(i)

A.T.Q.

Two horizontal lines are extended making 3 angles. Two angles out of them are 50° and 65°.

Since the adjacent angles comprising a straight line is equals to 180°.

so,

∠2 + 50° + 65° = 180°

∠2 + 115° = 180°

∠2 = 180° - 115°

∵ ∠2 = 65°   ...(ii)

Using (i) and (ii),

∠2 ≅ ∠B

Therefore, ∠2 and ∠B are congruent to one another.

7 0
3 years ago
Read 2 more answers
SOLVE Janet piano teacher charged $12.50 for a 30-minute lesson if Janet has a 4 lesson per month how much will she owe her pian
miskamm [114]
You would multiply 12.50 by 4 because thats how much each lesson is and you go 4 times a month. You then multiply this by 12 because there are 12 months in a year. The answer comes out to $600 a year. Hope this helps. XD
3 0
4 years ago
3) Solve each equation using the quadratic formula. Show<br> a. x2 – 3x – 10 = 0
Naya [18.7K]

Answer:

<h2>x = -2 or x = 5</h2>

Step-by-step explanation:

The quadratic formula of a quadratic equation

ax^2+bx+c=0\\\\\text{If}\ b^2-4ac>0\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\text{If}\ b^2-4ac=0\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}

\text{If}\ b^2-4ac

We have:

x^2-3x-10=0\to a=1,\ b=-3,\ c=-10\\\\b^2-4ac=(-3)^2-4(1)(-10)=9+40=49>0\\\\x=\dfrac{-(-3)\pm\sqrt{49}}{2(1)}=\dfrac{3\pm7}{2}\\\\x=\dfrac{3-7}{2}=\dfrac{-4}{2}=-2\\or\\x=\dfrac{3+7}{2}=\dfrac{10}{2}=5

5 0
3 years ago
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marshall27 [118]
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3 years ago
Length and width of the rectangle
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The length is 6 and width is 3 or vice versa
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3 years ago
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