Answer:
x=5
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
The box is a right angle which is 90 degrees
60+6x+90 = 180
Combine like terms
150+6x= 180
Subtract 150 from each side
150-150+6x = 180-150
6x = 30
Divide by 6
6x/6 =30/6
x = 5
Answer:
x=5, y=8
Step-by-step explanation:
x+y=13
2x-y=2
add these two equations
3x=15
therefore x=5
apply this value in x+y=13
5+y=13
then y=13-5 = 8
Emma is now 24 years old then Ben would be 2E, or 48 years old.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let B and E be Ben's and Emma's current ages, respectively.
We have given that;
Ben's age is currently twice of his sister, Emma.
B = 2E
and
8 years ago, Ben's age was 2 and a half times that of Emma's age
B-8 = 2.5(E-8)
We can substitute the value of B from the first equation into the last one
B-8 = 2.5(E-8)
(2E)-8 = 2.5(E-8)
2E-8 = 2.5E- 20
-0.5E = -12
E = 24
Thus, Emma is now 24 years old then Ben would be 2E, or 48 years old.
Learn more about equations here;
brainly.com/question/10413253
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