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
2y+14=28
-14=-14
—————-
2y=14
14/2=y
Y=7
Answer: 10
Step-by-step explanation:
50 divided by 10 is 5
10%=5
20%=10
Answer:
x=−7/8
Step-by-step explanation:
X% of y means x/100 times y
52% is bonus
17% is getaway weekend
52-17=35
find 35% of 92000=32200
32,200 people prefer the bonus over the getaway
C is answer
