We can see on this graph that the triangle has legs of x and 6 with a hypotenuse of 10 and we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem: a^2+b^2=c^2, where a and b are the legs of the triangle and c, is the hypotenuse
x^2+6^2=10^2 Plugin a=x, b=6, and c=10. Now let us solve for x
x^2+36=100 Square each individual term
x^2+=100+36 Subtract 36 from both sides
x^2=64 Combine like terms
sqrt(2)=sqrt(64) Take the square root of both sides
x = 8 Simplify the square root
So our answer is x = 8
The ladder touches the 8 feet mark on the wall.
Answer:
B. subtract
Step-by-step explanation:
Subtracting is the opposite of adding which is what is originally in the equation, by subtracting you are canceling out the 14 1/6
Align the horizontal edge of the protractor with the base of the triangle. Place the center point of the protractor on the vertex of the angle. Follow the side of the triangle until it reaches the angle measurement mark. Note the measurement.
9514 1404 393
Answer:
AE = 3
Step-by-step explanation:
First of all, we need to find corresponding sides that are defined in both figures. The table below shows the given values.
From the table, we can write the proportion ...
EA/RS = BC/TU . . . corresponding sides are proportional
EA/6 = 4/8 . . . . . . . substitute given lengths
EA = 6(4/8) = 3
The length of AE is 3 units.
y + (2x -12) = 180 (since they are supplementary angles)
(2x-12) = 96 ( since they are alternate exterior angle)
2x = 96 + 12
2x = 108
x = 108/2
x = 54.
y+( 2x-12)=180
y+(2× 54 -12) = 180
y + (108-12) = 180
y + 96 = 180
y= 180-96
y = 84.
