Hello!
∠E and the angle measuring 119 degrees (we'll refer to this as ∠A) can be classified as supplementary angles. Supplementary angles are two angles whose measures add to a sum of 180 degrees (a straight line). Therefore, we can conclude that sum of ∠E and ∠A is 180 degrees. We can use this information to create the following equation:
∠E + 119 = 180
Now subtract 119 from both sides of the equation:
∠E = 61
We have now proven that ∠E is equal to 61 degrees.
I hope this helps!
Answer:
Infinitely many solutions
Step-by-step explanation:
Infinitely many solutions
Answer:
x=-16
Step-by-step explanation:
Subtract 4 from both sides
x+4-4=-12-4
x=-16
Answer:
See below.
Step-by-step explanation:
Lets take √72:
Factoring 72 to find perfect squares:
72 = 2*2*2*3*3
The largest perfect square in the above = 2*2*3*3 = 36.
So we can write 72 as 36*2.
√72 = √(36 * 2)
√36 * √2
= 6√2.
One more example:
√18 = √(2*3*3)
= √9*√2
= 3√2.
X= number of adult tickets
y=number of child tickets.
we can suggest this system of equations:
x+y=118 ⇒x=118-y
7.5x+3y=696
we can solve this system of equations by substitution method:
7.5(118-y)+3y=696
885-7.5y+3y=696
-4.5y=-189
y=-189/-4.5
y=42
x=118-y
x=118-42
x=76
Answer: the number of adult tickets sold was 76.
