Answer:
x = 63 y = 27
Step-by-step explanation:
The straight line is 180 degrees
subtract 117 from 180 to get 63
It says x+7= 90, so subtract x(63) from 90 to get 27
Answer:
x = 5√2
y = 5√6
z = 5√3
ΔABC ~ ΔBDC ~ ΔADB
Step-by-step explanation:
ΔABC, ΔBDC, and ΔADB are all similar triangles to each other.
By definition of similar triangles, the corresponding sides have the same ratios.
CD from ΔBDC corresponds to BD from ΔADB, and BD from ΔBDC corresponds to AD from ΔADB. So:
CD / BD = BD / AD
10 / x = x / 5
x² = 50
x = 5√2
Since ΔBDC is right, we can use the Pythagorean Theorem to solve for y:
CD² + BD² = BC²
10² + (5√2)² = y²
y² = 100 + 50 = 150
y = 5√6
Again, since ΔΔABD is right, we can use the Pythagorean Theorem to solve for z:
AD² + BD² = AB²
5² + (5√2)² = z²
z² = 25 + 50 = 75
z = 5√3
Answer:

Step-by-step explanation:
we know that
The circumference of a circle is equal to

where
D is the diameter
in this problem we have

substitute
-----> equation that give the value of the circumference

Answer:
6:00 a.m.
Step-by-step explanation: