Answer:
Hypotenuse of first triangle is 7.61
Hypotenuse of second triangle is 45
Step-by-step explanation:
Given that:
Triangle 1:
a = 3
b = 7
Using Pythagorean theorem;
a²+b²=c²
Taking square root on both sides
c = 7.61
Hypotenuse is 7.61
Triangle 2:
a = 27
b = 36
Using Pythagorean theorem;
a²+b²=c²
Taking square root on both sides
c=45
Hypotenuse is 45
Hence,
Hypotenuse of first triangle is 7.61
Hypotenuse of second triangle is 45
Answer:
Answer 60
Step-by-step explanation:
The distance from an exterior point to the incircle is equal to the tangent length in both cases.
So the 19 is made up of 9 and 10.
The length of the other portion of the tangent from the end of 19 to the tangent point on the right is also 10.
By a similar argument the lower length of the line to the tangent point is 11.
So you have
9 + 9 + 10 + 10 + 11 + 11
18 + 20 + 22 = 60.
Answer:
x = 12
Step-by-step explanation:
We know that the total angle measure of a triangle is 180 degrees, so the sum of all the angles should be 180 degrees.
Therefore, we can add all the angles, set them equal to 180 and solve for x
2x+5 + 6x-5 + 7x = 180
We can combine all the x terms and all the numerical terms on the left side of the equation to get:
(2x+6x+7x) + (5-5) = 180
15x = 180
Then we can divide both sides by 15 to isiolate x
15x = 180
x = 180/15 = 12
Simple,
using
find your slope...
thus, 10=m (slope)
Now, using y=mx+b to find your equation, plug in what you know...
Use any of the 2 coordinates.. (1,5)
5= 10(1)+b
5=10+b
-10 -10
-5=b
Thus, the equation to your line is...
y=10x-5.
