Lets find 2 points, one obvious one is (0,0), another point is (12,4)
y = mx + b
m is the slope
we got m = 1/3
We can eliminate answer choices C and D.
y = 1/3x + b
we need to solve for b
Plug in the point (0,0) and solve for b
0 = 1/3(0) + b
0 = 0 + b
b = 0
The equation of the line is y = 1/3x + 0, or
y = 1/3xYour answer is
B.
Answer:
25% decrease
Step-by-step explanation:
Take the original amount of books and subtract the new number of books
20 -15 = 5
Divide by the original amount of books
5/20 = .25
Multiply by 100%
25%
It is a decrease since the amount went down
25% decrease
You found $5, so it's positive. You don't put anything in the negative, because you aren't losing anything.
This is vague. Any dimensions that make a triangle can make more than one, just draw another right next to it. What's really being asked is which dimensions can make more than one non-congruent triangle.
<span>A. Three angles measuring 75°,45°, and 60°.
That's three angles, and 75+45+60 = 180, so it's a legit triangle. The angles don't determine the sides, so we have whole family of similar triangles with these dimensions. TRUE
<span>B. 3 sides measuring 7, 10, 12?
</span>Three sides determine the triangles size and shape uniquely; FALSE
<em>C. Three angles measuring 40</em></span><span><em>°</em></span><em>, 50°</em><span><em>, and 60°? </em>
40+50+60=150, no such triangle exists. FALSE
<em>D. 3 sides measuring 3,4,and 5</em>
Again, three sides uniquely determine a triangle's size and shape; FALSE
</span>
Answer: 
Step-by-step explanation:
When two lines cross each other , then the opposite angles are known as vertical angles.
Vertical angles are equal.
Here, ∠A and ∠B are vertical angles.
So, ∠A = ∠B
If 
and 
Then , 
Subtract 5x from both sides, we get
Add 11 on both sides, we get
Now , 
Hence, the measure of
