Answer:
x = 6 cm
Step-by-step explanation:
Given ratio of sides of similar figures = a : b , then
ratio of areas = a² : b²
Here ratio of areas = 5 : 45 = 1 : 9 , so
ratio of sides = 
: 
= 1 : 3
Thus side of B is 3 times side of A
x = 3 × 2 = 6 cm
Answer:
mÐ4 = 30°
Step-by-step explanation:
Vertical angles are angles that are opposite to each other, thus are said to be equal.
Since,
i. Ð1 and Ð3 are vertical angles
ii. Ð2 and Ð4 are vertical angles
This implies that the measure of Ð1 and Ð3 are congruent. And also the measure of Ð2 and Ð4 are congruent.
So that, if mÐ2 = 30°, it would be expected that mÐ4 has the same measure. This implies that mÐ4 = 30°.
Answer:
nicce
Step-by-step explanation:
Answer:
x = 14.25
Step-by-step explanation:
Start with a^2 + b^2 = c^2
a = 11
b = x
c = 18
plug in and solve
11^2 + x^2 = 18^2
121 + x^2 = 324 - Simplify
x^2 = 203 - subtract 121 from both sides
x = 14.247 rounds to 14.25 - square root on both sides
