Answer/Step-by-step explanation:
Recall: if two figures are similar, we know that the ratio of their areas = the square of the ratio of their corresponding sides
Apply this knowledge to solve the problems given.
✔️Problem 1 (4-sided polygon):
Let the missing area be x cm²
Therefore,
Multiply both sides by 9
x = 9*4
x = 36 cm²
✔️Problem 2 (3-sided polygon):
Let the missing area be y cm²
Therefore,
Multiply both sides by 240
y = ¹/16 × 240
y = 15 cm²
✔️Problem 3 (5-sided polygon):
Let the missing area be z cm²
Therefore,
Multiply both sides by 40
z = 90 cm²
You need to distribute the number before the parentheses into what is inside the parentheses
Answer:
x = 20
Step-by-step explanation:
Use Pythagorean Theorem to solve for x:
a^2 + b^2 = c^2
Plug in given values if a = 12, b = 16, and c = x (x is hypotenuse)
12^2 + 16^2 = x^2
(12*12) + (16*16) = x^2
144 + 256 = x^2
400 = x^2
Take square root of both sides to solve for x
sqrt(400) = sqrt(x^2)
20 = x or x = 20
The answer is √58 = 7.62
So, if you draw this down, you will see that the direct distance is hypotenuse c of a right triangle which sides are 3 blocks (1 south and 2 north) and 7 blocks (4 west and 3 east).
Use the Pythagorean theorem:
c² = a² + b²
a = 3
b = 7
c² = 3² + 7²
c² = 9 + 49
c² = 58
c = √58
c = 7.62
