Answer:
1. 
Step-by-step explanation:
We can see that CD is angle bisector, So we will use angle bisector theorem which states that the angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.
We can set up an equation as:
Upon substituting our given values we will get,
Cross multiplying our equation we will get,
Therefore, the length of AD is units and 1st option is the correct choice.
Answer:
a) green: 0.3
yellow: 0.1
b) 12
Step-by-step explanation:
Unfortunately, I cant write on the table. But, I CAN help you with this question.
Since all probabilities have to add up to one, we can for an equation like this
(where y is yellow)
0.35+0.25+3y+y=1
This simplified is
0.6+4y=1
4y=0.4
So, we now know that green is 0.3, and yellow is 0.1.
For b, we set 0.35x to 14. Dividing gives us:
14/0.35=1400/35=40.
Multiply 0.3 by 40, and you get 12.
Hope this helped!
Answer: A. 3 red squares to 6 green squares
Step-by-step explanation:
Method 1) Find a common factor between 15 and 30. For this problem, I'll pick 5. Divide both numbers by this common factor.
15/5=3 red squares
30/5=6 green squares
<em>3 red squares to 6 green squares</em>
Method 2) Find the greatest common factor between 15 and 30. The GCF is 15. Divide both numbers by the GCF.
15/15=1
30/15=2
This leaves you with a ratio of 1 red square to 2 green squares. 1:2 is equivalent to 3:6
<em>3 red squares to 6 green squares</em>
Hello!
We have the following expression:
Let's multiply and simplify it, look:
We multiply a*a*a, so we can rewrite it as a³. The same with b*b as b².
So, the answer in the simplified form is:
6a³ + 4b²
