Answer:4(2x + 1) = 12x + 3 - 4x +1=0
Step-by-step explanation:
group like terms =4(2x+1)=12x-4x+3+1
add similar elements=4(2x+1)=8x+3+1
add the numbers=4(2x+1)=8x+4
expand=8x+4=8x+4
subtract 4 from both sides 8x+4-4=8x+4-4
simplify=8x=8x
subtract 8x both sides=0
Answer:
1st,4th,5th option.
Step-by-step explanation:
Let evaluate each option.
A segment bisector is a line segment, ray, and/or line that bisects a line into two congruent parts. LM splits JK and KH into congruent parts. The first option is correct.
A perpendicular bisector is a line segment,ray and/or line that intersects a line segment,ray at a right angle. We don't have a perpendicular angle here and so that isn't a option.
M isn't a vertex of congruent angles as there is none in this figure.
The fourth and fifth option are correct. They both are on the segment bisector so they split the figure segments into two congruent parts. Since they are on the line segment and bisects it, they are considered the midpoint or middle point of the figure side.
The conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, is 57.14%.
Given that of all postsecondary degrees awarded in the United States, including master's and doctorate degrees, 21% are associate's degrees, 58% are earned by people whose race is White, and 12% are associate's degrees earned by Whites, to determine what is the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, the following calculation should be performed:
- A cross multiplication must be applied to obtain the percentage of whites who have obtained an associate degree.
- 21 = 100
- 12 = X
- 12 x 100/21 = X
- 1200/21 = X
- 57.14 = X
Therefore, the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, is 57.14%.
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