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Anna007 [38]
3 years ago
12

In △ABC the points M and N belong to the sides AC and AB respectively. AM= 1/3 AC, AN= 1/3 AB, BC=15. Find MN

Mathematics
1 answer:
Oliga [24]3 years ago
8 0
Answer: \\ We \: have \: \frac{AM}{AC} = \frac{1}{3} , \frac{AN}{AB} = \frac{1}{3} ,\hat{A} \: is \: a \: shared \: angle \\ \Rightarrow \bigtriangleup AMN \cong \bigtriangleup ACB \\ \Rightarrow MN = \frac{1}{3} BC = \frac{1}{3} \times 15 = 5
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Freya thinks of a number
SashulF [63]

Answer:

30

Step-by-step explanation:

30 * 2 is 60

60 - 10 is 50

8 0
3 years ago
A classmate plotted the following points:
irga5000 [103]

Answer:

D(-1,0)

Step-by-step explanation:

Plot points A(-3, 2), B(-1, 4), and C(1, 2) on the coordinate plane (see attached diagram).

Two sides AB and BC are of equal length and are perpendicular, because

AB=\sqrt{(-3-(-1))^2+(2-4)^2}=\sart{(-2)^2+(-2)^2}=\sqrt{4+4}=2\sqrt{2}\ units\\ \\BC=\sqrt{(-1-1)^2+(4-2)^2}=\sart{(-2)^2+2^2}=\sqrt{4+4}=2\sqrt{2}\ units\\ \\\text{Slope AB}=\dfrac{4-2}{-1-(-3)}=\dfrac{2}{2}=1\\ \\\text{Slope BC}=\dfrac{2-4}{1-(-1)}=\dfrac{-2}{2}=-1\\ \\\text{Slope AB}\cdot \text{Slope BC}=1\cdot (-1)=-1\Rightarrow \text{lines AB and BC are perpendicular}

If the quadrilateral ABCD has all sides perpendicular, then ABCD is a square. The diagonals of the square bisects each other. Find the coordinates of the point of intersection of these diagonals. This is the midpoint of segment AC:

x=\dfrac{-3+1}{2}=-1\\ \\y=\dfrac{2+2}{2}=2

If point O(-1,2) is the point of intersection of diagonals, then it is the midpoint of the diagonal BD. Find coordinates of point D:

x_O=\dfrac{x_B+x_D}{2}\Rightarrow -1=\dfrac{-1+x_D}{2},\ -1+x_D=-2,\ x_D=-1\\ \\y_O=\dfrac{y_B+y_D}{2}\Rightarrow 2=\dfrac{4+y_D}{2}, 4+y_D=4,\ y_D=0

Thus, D(-1,0)

7 0
4 years ago
PLZZZ I HAVE 10 MINUTES
prohojiy [21]

Answer:

Option D is correct

Step-by-step explanation:

When a cube with sides numbered 1 through 6 is rolled one time, the possible events are six i.e. getting {1,2,3,4,5,6} , with equal probability for each.

Of these, the events for which we get 4 or greater are {4,5,6} i.e. three events.

Hence probability of getting 4 or greater is

\frac{3}{6}  =  \frac{1}{2}

<h3>Hope it is helpful....</h3>
8 0
3 years ago
Andre tried to solve the equation 1/4(x + 12) = 2. What was his mistake? *
Umnica [9.8K]

Answer:

x=-4

Step-by-step explanation:

x+12=8    

x=8-12

Andre did not multiple both by four to get the exact whole number. He also, didnt subtract 12 which is not possible due to it being multiplied by 1/4.

5 0
3 years ago
How can the statement c(1.5)+9 be interpreted
nordsb [41]
The answer is 10.5
Hope I Helped!
7 0
4 years ago
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