Answer:
First statement: Angles 1 and 3 are vertical angles.
First reason: Definition of supplementary
Second Reason: Vertical angles are congruent
Third Reason: Vertical Angles Theorem
Step-by-step explanation:
Hope this helps: Angles that form an X- Type figure are congruent.
Given:
A figure of a triangle.
To find:
The measure of angle A.
Solution:
Label the points in the figure as shown below.
In the below figure,
(Vertically opposite angles)
(Congregant angles)
Using exterior angle theorem in triangle ABC, we get
Isolate the variable term x.
Now, the measure of angle A is:
Therefore, the correct option is B.
Answer:
y = -2/3x + 1
Step-by-step explanation:
Put -2/3x + 1 into y= on the graphing calculator and the point (6,-3) is in the table.
Answer:
1,000,000,000 leaves or 1 x 10^9 leaves
Step-by-step explanation:
One large oak tree has 2 x 10^5 leaves, so we can make that number to 200000
There are 5 x 10^3 oak trees in a forest, we can make that number to 5000
Since we want to find out how many leaves are in the whole forest we multiply: 200000 x 5000 = 1,000,000,000
So approximately there are 1 billion leaves or 1 x 10^9 leaves
Answer:
5/8
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous one:
480/768
= 0.625
Convert this to a fraction:
0.625
= 5/8
So, the common ratio is 5/8
