Line BD is perpendicular to line AC. both angles ADB and CDB are right angles.
4x+10=90
subtract 10 from both sides
4x=80
divide both sides by 4 to isolate x
x=20
plug in 20 for x in the equation (x+11) to find the measure of angle c
20+11=31°
the measure if angle c is 30°
Given that the problem does not specify if
y is <span>opposite, adjacent or hypotenuse side, I will provide two solutions to this problem.
Case 1. Y is the hypotenuse side. (See figure 1)
According to the Pythagorean Theorem, for a right triangle, it is true that:
</span>
<span>
being c the hypotenuse side and a and b the opposite and adjacent side respectively. So, for the figure 1 it is true that:
</span><span>
z = a = 15cm
x = b = 9cm
y = c = ?
</span>
∴
Case 2. Y is the opposite side (The same happens as if it were the adjacent side). (See figure 2)
From the equation:
For the figure:
y = a = ?
x = b = 9cm
z = c = 15cm
We need to isolate a, so:
∴
Answer:
2
Step-by-step explanation:
2 x 2 = 4
4x2 is 8
8x2 = 16
16x2= 32
And then 32 x 2 = 64
Answer:
25/64
Step-by-step explanation:
ratio of perimeters = 15/24 = 5/8
ratio of areas = square of ratio of perimeters
ratio of areas = (5/8)^2 = 25/64