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Nata [24]
2 years ago
14

One leg of a 90-45-45 triangle is 5. What are the sides of the hypotenuse and the other leg?

Mathematics
1 answer:
kirza4 [7]2 years ago
7 0

Answer:

5√2, 5

Step-by-step explanation:

in a 90 45 45 triangle, each leg is the same legnth

the hypotenuse of a 90 45 45 triangle is x√2

x being the measure of the leg

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4. Given the points M(-3, -4) and T(5,0), find the coordinates of the point Q on directed line segment MT that partitions MT in
Firlakuza [10]

Answer:

<u><em>4 : </em></u> Coordinate of Q = (\frac{1}{5} ,\frac{-12}{5} )

<em><u>5 : </u></em>  Coordinate of point A = (-2,-2)

Explanation :

4)  Given the points M(-3, -4) and T(5,0)

x₁= -3, y₁ = -4 and

x₂ = 5, y₂ = 0

m = 2, n = 1

Now apply the section formula,

{(mx₂+nx₁)/(m+n) , (my₂+ny₁)/(m+n)}

Coordinate of point Q = (\frac{1}{5} ,\frac{-12}{5} )


5)   AB:BC = 3:4

A = (x,y),   end point

B =  (4, 1)  

C = (12, 5)      end point

So, m = 3   &   n  = 4

x₁ = x ,  y₁ = y   , x₂=12  & y₂ = 5

Apply section formula we get

4 = (36+4x)/7                              &       1 = (15 + 4y)/7

28= 36 + 4x                                        7 = 4y + 15

4x =-8                                                         4y =-8

x =  -2                                                           y = -2

5 0
3 years ago
Factor by grouping 20i^3-25i^2+4i-5
inna [77]
The answer is (4x-5)(5x^2+1)
6 0
2 years ago
Solve: (x ÷ 4) + 8 = 38
Rainbow [258]
First you have to rewrite the equation:
(x ÷ 4) + 8 = 38

Second you have to write the division as fraction:
(¼x) + 8 = 38

Third you have to take off the unecessary bracket:

¼x + 8 = 38

Fourth multiply 8 and 38 by 4
x + 32 = 152

Fifth step move the constant to the right hand and change the sign.
x = 152 - 32

Then subtract:

x = 120

Hope this helps :))
5 0
2 years ago
1. A triangle is rotated 35° about the origin. What is true about the relationship be pre-image?
jasenka [17]

Answer:

the triangles are equivalent

Step-by-step explanation:

that's it

5 0
3 years ago
Find the equation of the line that passes through the given points
uranmaximum [27]
First you need to figure out the slope:
y2-y1/x2-x1=(1+5)/(-5-7)=-1/2

y+5=-1/2(x-7)
y=-1/2x-3/2
6 0
3 years ago
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