The value of x is 5, if a, b, and c are collinear points.
According to the given question.
a, b, and c are collinear points.
Which means points a, b, and c both lie in a same line.
b is between a nd c .
Also, ab = 12
bc = 5x - 2
and ac = 3x + 20
Since, b lies in between a and c
Therefore,
ab + bc = ac
12 + 5x - 2 = 3x + 20
⇒ 10 + 5x = 3x + 20
⇒ 5x - 3x = 20 - 10
⇒ 2x = 10
⇒ x = 10/ 2
⇒ x = 5
Therefore, the value of x is 5.
Find out more information about collinear points here:
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Answer:
1/3 of 12 would be greater than 1/4 of 12.
Step-by-step explanation:
One third (1/3) of twelve results in 4. (Multiply 12/1 by 1/3 and simplify.)
One fourth (1/4) of twelve results in 3. (Multiply 12/1 by 1/4 and simplify.)
4 > 3.
Therefore, 1/3 of 12 is greater then 1/4 of 12.
The correct answers are: True and B
<u>Given</u>:
Given that JKL is a right triangle.
The measure of ∠L is 90°
The length of JL = 24, LK = 7, and KJ = 25.
We need to determine the value of sine of ∠K.
<u>Value of sin ∠K:</u>
The value of sin ∠K can be determine using the trigonometric ratio.
Thus, we have;
Substituting 
, the side opposite to angle K is JL and the hypotenuse is JK
Thus, we have;
Substituting JL = 24 and JK = 25, we get;
Simplifying, we get;
Thus, the measure of sine of ∠K is 73.74°
3,200 is 40% of 8000 although im confused on what ‘157’ commission is?
