Answer:
Angle ABC is equal to 130.4°
Step-by-step explanation:
When an angle is bisected, it is divided into two equal parts, so if BD bisects ∠ABC, then the two angles that add up to it, ∠ABD and ∠DBC, must be equivalent.
We know that ∠ABD equals 65.2, so that must mean that ∠DBC also equals 65.2.
Here is our equation:
∠ABC=∠ABD+∠DBC
After substituting, we will get
∠ABC=65.2+65.2=130.4
130.4° is the measure of ∠ABC.
Answer:
5 bicycles
Step-by-step explanation:
5 * 2 = 10 wheels
7 * 3 = 21 wheels
10 + 21 = 31
Hope this helped! Brainliest :)
Answer:
(2,4).
Step-by-step explanation:
Graph of y = f(-x).
The values of x in f(-x) assume the values of -x in f(x).
For example, f(-2) in f(x) is f(2) in f(-x), and f(2) in f(x) is f(-2) in f(-x).
b) Write down the coordinates of the maximum point of the graph of y = f(-x).
In f(x), we have that x = -2. So in f(-x), it will be x = 2. y remains unchanged. So
(2,4).
Answer: The correct option is (A). 3.
Step-by-step explanation: We are given to find the scale factor of dilation from ΔABC to ΔDEF.
As shown in the figure, the lengths of the sides of ΔABC to ΔDEF are
AB = 5 units, BC = 4 units, CA = 3 units,
DE = 15 units, EF = 12 units, FD = 9 units.
We know that the scale factor is given by

Therefore, the scale factor of dilation from from ΔABC to ΔDEF is

Thus, the required scale factor is 3.
Option (A) is correct.