Answer:
The answer would be D, 75.
Step-by-step explanation:
Answer:
25 and 54
Step-by-step explanation:
(a)
6z² - 2z + 5 ← substitute z = 2
= 6(2)² - 2(2) + 5
= 6(4) - 4 + 5
= 24 - 4 + 5
= 20 + 5
= 25
(b)
64 - 5z ← substitute z = 2
= 64 - 5(2)
= 64 - 10
= 54
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:
W = 4.95
Step-by-step explanation:
You want to start by writing down what you know, and forming a system of equations.
L= length W= width
2L+2W=14.7
L= 2.4
On the left side of the equation, you're adding all your side lengths, and on the right, is the total perimeter. (Also could be written L+L+W+W = 14.7)
You would then substitute L from the bottom equation into the top equation to get:
2(2.4) +2W=14.7
Solving:
4.8+2w=14.7
W= 4.95
To check your answer simply add all the sides together and make sure it equals your perimeter. You can also plug W and L back into the original equation.
