Answer:
Step-by-step explanation:
First, you need to combine like terms in order to begin simplifying. This is done by subtracting 2x from 6x. Also, add 7 to 23.
6x + 10 - 2x = 7 + 23
4x + 10 = 7 + 23
4x + 10 = 30
Now, you have a two-step equation. Subtract 10 from both sides, and then divide by 4.
4x + 10 = 30
4x = 20
x = 5 is the final answer.
A graphing calculator or spreadsheet program can do this for you. Below is a plot from the Desmos on-line graphing calculator.
It is given in the question that
BD is the median. So it divides the opposite sides in two equal parts .
Therefore in triangles BAD and BCD,
AB and AC are congruent because of isosceles triangle.
AD and CD are congruent because of the median BD.
And BD and BD are congruent .
So the two triangles are congruent by SSS and the correct option is the first option .
For x > 3, values of the function f(x) = –(x – 3)2(x + 2) are negative. On this same interval, which statement correctly describes the values of the additive and multiplicative inverses?
Answer:
Yes, this is a valid inference because she took a random sample of the neighborhood.
Step-by-step explanation:
As her survey was non bias and completely random and she found that 15% of the families would participate in the event. She claims that 15% of the neighborhood families would be expected to participate in the sports event. So, yes, this is a valid inference because she took a random sample of the neighborhood.
