Answer:
x = 39
Step-by-step explanation:
The opposite angles of a parallelogram are congruent, so
3x - 15 = 2x + 24 ( subtract 2x from both sides )
x - 15 = 24 ( add 15 to both sides )
x = 39
Answer:
none
Explanation:
Fill in each option for x individually.
I) 9
-10 - 4(-1)
II) 9
-10 - 4(-3)
III) 9
-10 - 4(-2)
Then, simplify the right side of each inequality.
I) 9
-6
II) 9
2
III) 9
-2
Each of these inequalities are flase. 9 is not less than or equal to any of these values, so the answer is none.
Answer:
C: 12.5
Step-by-step explanation:
The sides x and 11 could be defined as the Adjacent angle and the Hypotenuse. This means that we will use the cos function to solve this.
First we can set up our equation

Next we can solve for x by multiplying by x and dividing by 

Answer:
5000 students appeared in the examination.
Step-by-step explanation:
We solve this question using Venn probabilities.
I am going to say that:
Event A: Passed in Mathematics
Event B: Passed in English.
5% failed in both subjects
This means that 100 - 5 = 95% pass in at least one, which means that 
80% passed in mathematics 75% passed in english
This means that 
Proportion who passed in both:

Considering the values we have for this problem

3000 of them were passed both subjects how many students appeared in the examination?
3000 is 60% of the total t. So



5000 students appeared in the examination.
Answer:
c. 130
Step-by-step explanation:
Let call B the quantity of voters who voted yes for both propositions.
From the question we know that twice as many voters voted "yes" for R as for S, that can be written as the following equation:
R+B=2(S+B)
Where R is the number who voted "yes" for R but "no2 for S and S is the number who voted "yes" for S but "no" for R.
Replacing R by 750 and S by 310 and solving for B, we get:
750+B=2(310+B)
750+B=620+2B
2B-B=750-620
B=130
So, 130 voters voted yes for both propositions