Let:
x = cost of senior citizen ticket
y = cost of student ticket
4x + 5y = 102
7x + 5y = 126
4x + 5y = 102
4x = 102 - 5y
x = (102 - 5y)/4
x = 102/4 - 5y/4
7x + 5y = 126
7(102/4 - 5y/4) + 5y = 126
(714/4 - 35y/4) + 5y = 126
-35y/4 + 5y = 126 - 714/4
note:
-35y/4 = -8.75y
714/4 = 178.5
-8.75y + 5y = 126 - 178.5
-3.75y = -52.5
y = -52.5/-3.75
y = 14
x = 102/4 - 5y/4
x = 102/4 - 5(14)/4
x = 8
x = cost of senior citizen ticket = $8/ea
y = cost of student ticket = $14/ea
Here is how you find the answer.
Do remember that the term Bisect means to cut it in half.
So here it goes.
<span>5x = 3x + 10
5x - 3x = 10
2x = 10
x = 5
Then, substitute the values, so 5*5 or 3*5+10
Then, the answer for each smaller angle is 25.
</span>Remember bisect? so 25 x 2 so the final answer is 50.
Hope this is the answer that you are looking for. Thanks for posting your question!
Answer:
This system of equations has infinite points of intersection
Step-by-step explanation:
* To know the point of intersection of the system of equations,
you will solve the graphically or algebraically
- Graphically by drawing two lines on the coordinate plane
- Algebraically by substitution method or elimination method
* Lets use the substitution method
∵ y = 4 - x
∵ 2y = 8 - 2x
- Substitute y in the second equation by its value in the
first equation
∴ 2(4 - x) = 8 - 2x ⇒ open the bracket
∴ 8 - 2x = 8 - 2x
* The two sides equal each other, that means we can use any
vales of x, and on the graph they will be the same line for
the two equations
∴ This system of equations has infinite points of intersection
Using equations we know that the value of x needs to be (E) 4 to make HL congruent to AC.
<h3>
What are equations?</h3>
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
So, HL is a hypotenuse that will be congruent to the hypotenuse AC.
We know that HL is 3x + 3.
Ac is 15.
Then the equation will be:
3x + 3 = 15
Now, solve the equation to get x as follows:
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12/3
x = 4
Therefore, the value of x needs to be (E) 4 to make HL congruent to AC.
Know more about equations here:
brainly.com/question/28937794
#SPJ4
Correct question:
For the triangles to be congruent by hl, what must be the value of x?
a. 8
b. 9
c. 17
d. 3
e. 4