Answer:
x = 7
Step-by-step explanation:
5x + 21 = 8x
21 = 3x
7 = x
Answer: Yes
Step-by-step explanation:
Since ABCD is a rectangle, , , , and are all right angles, and are thus all congruent because all right angles are congruent. Furthermore, because ABCD is a rectangle, we know that and . Because we are given that X, Y, Z, and W are midpoints, using the fact that halves of congruent segments are congruent, we can conclude that and that . As a result, we can conclude that by SAS, and thus by CPCTC, . Therefore, since the quadrilateral formed by the midpoints has four congruent sides, it must be a rhombus.
Unfortunately, you overlooked the need to share Steps 1-6.
Solve: (log to the base 3 of)(x+2)= (log to the base 3 of) (2x^2-1).
Use (log to the base 3 of)(x+2) as the exponent of 3 in the equation 3 = 3:
(log to the base 3 of)(x+2) (log to the base 3 of) (2x^2-1)
3 = 3
This reduces to x+2 = 2x^2 -1, which, in turn, simplifies to 2x^2 - 1 - x - 2 = 0, or
2x^2 - x - 3 = 0. You could use the quadratic formula or some other method to solve this for x. The roots are 3/2 and -1.
Answer:
2,3
Step-by-step explanation:
Hello!
I would say the second option, because it looks like the most reasonable one. The third and fourth options decrease, but we can see by the chart that in fact, the weight increases. Also, it wouldn't be the first option, because its showing that the wight is always constant and rate doesn't change. However, we can see that this is wrong and the rate actually does change. Therefore, the second option looks like the most reasonable for this chart.
Hope this helps!