Answer:
C
Step-by-step explanation:
ANSWER
EXPLANATION
We want to find the very first step in solving the problem below:
If we wanted to jump steps, we could just state that the equation would become:
But that would be jumping a lot of steps and it is not among the options.
So, the very first step in solving this problem is to find the logarithm of both sides.
That is:
That is the answer. (Option B)
Answer:
10
Step-by-step explanation:
it is the middle value after you have put the numbers in numerical order
Answer:
UV = 15
BD= 31
Step-by-step explanation:
Since, U is the midpoint of TV.
Therefore,
TU = UV
x + 10 = 3x
x - 3x = - 10
-2x = - 10
x = - 10/-2
x = 5
UV = 3x = 3*5
UV = 15
BD = BC + CD
3x - 11 = x - 2 + 19
3x - 11 = x + 17
3x - x = 11 + 17
2x = 28
x = 28/2
x = 14
BD = 3x - 11 = 3*14-11 = 42 - 11
BD= 31
We used the relationship that BC + CD = BD and then solved for x, which we found to be 14. We then substituted 14 for x in the equation for BD, which gave us a result of 31.
In the given question, we have a piece of a line divided into different sections: BC, BD, and CD with their respective lengths. BD is represented through a variable equation. We know that BC + CD = BD, this is a fundamental property of geometry that the sum of the lengths of two consecutive sections of a line is equal to the total length. So, substitute the given values:
x − 2 + 19 = 3x − 11
Simplify the equation by combining like terms: x + 17 = 3x - 11. Now, let's solve for x:
First, consolidate x's on one side by subtracting 'x' on both sides. We get 17 = 2x - 11.
Next, add 11 on both sides to solve for x. We get, 28 = 2x.
Finally, divide by 2 on both sides to find x, x = 14.
Now, we can find BD by substituting x into the equation 3x - 11, we get:
BD = 3*14 - 11 = 42 - 11 = 31.
#SPJ2
Based on the given information, we can determine the characteristics of the polygon MNOP.
1. MN || OP and NO || PM:
- This means that the opposite sides MN and OP are parallel, and the opposite sides NO and PM are also parallel.
2. m/M = 93°, m/N = 87°, m/O = 93°, m/P = 87°:
- These angle measurements indicate that the opposite angles M and O are congruent, as well as the opposite angles N and P.
Based on these characteristics, we can conclude that the polygon MNOP is a parallelogram. A parallelogram is a quadrilateral with opposite sides that are parallel. In addition, opposite angles of a parallelogram are congruent.
However, we cannot determine from the given information whether the polygon MNOP is specifically a rectangle, rhombus, square, or trapezoid. These classifications require additional information, such as side lengths or angle measures, to be determined.
Therefore, the correct answers are:
- Parallelogram
- Quadrilateral
Please note that rectangle, rhombus, square, and trapezoid cannot be confirmed based on the given information.
Which of the variables is independent and which is dependent?
Answer:
s would be the dependent variable, and g the independent.
Step-by-step explanation:
Whatever the score is, it would depend on how many goals the team has scored.
Answer:
0.5 = 50% probability that he or she is not in any of the language classes.
Step-by-step explanation:
We treat the number of students in each class as Venn sets.
I am going to say that:
Set A: Spanish class
Set B: French class
Set C: German class
We start building these sets from the intersection of the three.
In addition, there are 2 students taking all 3 classes.
This means that:
6 that are in both French and German
This means that:
So
4 French and German, but not Spanish.
4 that are in both Spanish and German
This means that:
So
2 Spanish and German, but not French
12 students that are in both Spanish and French
This means that:
So
10 Spanish and French, but not German
16 in the German class.
This means that:
8 in only German.
26 in the French class
10 only French
28 students in the Spanish class
14 only Spanish
At least one of them:
The sum of all the above values. So
None of them:
100 total students, so:
(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?
50 out of 100. So
50/100 = 0.5 = 50% probability that he or she is not in any of the language classes.