Answer:
Step-by-step explanation:
In ΔABC, we have
The Converse of the basic proportionality theorem states that if a line divides two sides of a triangle in same ratio then the line must be parallel to the third side.
Now, it is given that , this implies that line segment DE divides AB and AC in the same ratio.
Thus, by converse of basic proportionality theorem
line segment DE= line segment BC.
Therefore, if ,then line segment DE is parallel to line segment BC .
8x-12 = 5+15
8x-12 = 20
8x = 32 +12
x = 4 ÷8
Answer:
<u>The correct answer is A. 109</u>
Step-by-step explanation:
1. Let's review all the information given to answer the question correctly:
Mean of candies in bags = 145
Standard deviation = 3
Number of bags of candies on a shelf = 160
2. About how many bags of candies are expected to have between 142 candies and 148 candies?
Let's recall that in a normal distribution, the 68.2% of the sample or the population is between minus one and plus one time the standard deviation.
For our case, the 68.2% of the bags of candies are expected to have between minus one time the standard deviation (145 - 3) and plus one time the standard deviation (145 + 3).
<u>It means that 109 bags (0.682 * 160) are expected to have between 142 and 148 candies. The correct answer is A. 109.</u>
Answer:
x = 25.
Step-by-step explanation:
Since the longer side of the smallest triangle bisects the largest triangle's right angle, all three triangles shown are similar.
As seen in the diagram, the smaller triangle's hypotenuse (15) corresponds to the the largest triangle's hypotenuse (x), and the smaller triangle's shorter side length (9) corresponds to the largest triangle's shorter side length (15). So, we can set up a proportion...
9 * x = 15 * 15
9x = 225
x = 225/9
x = 25
Hope this helps!
Answer: 2x-5y
Step-by-step explanation:
The common term in this expression (GCF) is 5. When you take out the 5, you get 2x-5y. This is the answer.
:)
