Answer:
A
Step-by-step explanation:
So we can use the Pythagorean's Theorem to figure this out.
The Pythagorean's Theorem is: a^2 + b^2 = c^2
Basically, leg1 squared plus leg2 squared = hypotenuse squared
So the two legs are 12 and 16, so we can put them in the equation.
12^2 + 16 ^ 2 = hypotenuse ^2
Or,
144 + 256 = hypotenuse ^ 2
400 = hypotenuse ^ 2
Then we can do the square root of 400 to find the hypotenuse.
√400 = 20
The length of the hypotenuse is 20 centimeters.
Bisector must pass through the mid-point, so we have to find out that mid-point of the segment:
mid point = x₁+x₂ / 2 , y₁+y₂/2
= 1 + 5 / 2 , 1 + 7 / 2
= 6/2 , 8/2
= (3, 4)
Slope of given segment = m = y₂-y₁ / x₂- x₁
m = 7-1 / 5-1
m = 6/4
m = 3/2
Now, segment which is perpendicular, will have the opposite & reciprocal slope, So, it would be: -2/3
We know, y - y₁ = m(x - x₁)
y - 4 = -2/3(x - 3)
y - 4 = -2/3x + 2
y = -2/3x + 6
In short, Your Final Answer would be: y = -2/3x + 6
Hope this helps!
(1,5)
Step-by-step explanation:
Simultaneous equations
4x+3y=19
4x=19-3y
x=(19-3y)/4___put in the other equation
7(19-3y)/4-6y=-23
Solving gives y=5 and x=1
The figures abcd, ghij and rstu are congruent figures, and the value of length ts is 8 cm
<h3>How to determine the length ts?</h3>
The congruent statement is given as:
abcd ≅ ghij and bcda ≅ rstu
The above statement means that:
ts = dc = ij
From the question, we have:
ij = 10 cm
This means that
ts = 10 cm
Hence, the value of length ts is 8 cm
Read more about congruent figures at:
brainly.com/question/1675117
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