Answer:
D
Step-by-step explanation:
First subtract the 1 from both sides. this leaves you with a -2x on one side and a 2 on the other side. Divide the -2, and remember that when you divide a negative number, the sign in the middle flips meaning that the answer would be x is less than or equal to -1.
Answer:
Choice D
Step-by-step explanation:
QS ≈ TR
they have same direction, sense and magnitude
Answer:
Step-by-step explanation:
8² = 30 * 43x
x = 8² / 30 * 43 = 8* 8 / 30*43
= 2*2*2 * 2*2*2 / 3*2*5*43
=2*2*2*2*2/ 3*5*43
= 32/645
Answer: See the attached image
You have the correct idea for the boxes you've filled out. For the first three boxes in column 1, I would be specific which segments you are dividing. So for instance, in the first box, it would be EG/EB = 55/11 = 5. Then the second box would be EF/EC = 35/7 = 5, and so on. The order of the boxes doesn't matter. The three boxes then combine together to help show that the triangles are similar. Specifically
. The order of the letters is important to help show how the angles pair up and how the sides pair up. We use the SSS similarity theorem here.
The second problem is the same idea, but we use one pair of congruent angles. So we'll use the SAS similarity theorem this time.
Answer:
Last option is the correct answer.
Step-by-step explanation:
Total number of movies = 9+7+4=20
The total number of combinations of choosing 3 movies from total 20 is represented by 20C3. Then there are 9 action movies and we're choosing 3, the number of combinations will be 9C3,
Now, the probability of choosing all action movies will be:

As we know that probability of something which is not happening is given as : 1 - probability of something happening, so the probability of not choosing all action movies is given by: 
Hence, option D or last option is the right one.