<u><em>Answer:</em></u>
x = 25
y = 14
<u><em>Explanation:</em></u>
The described scenario can be represented using the attached triangle.
<u>1- getting the value of x:</u>
We know that ΔABC is an isosceles triangle with AC = BC
<u>This means that:</u>
∠CAB = ∠CBA
We know that ∠CAB = 50° and ∠CBA = 2x°
<u>Equating the two angles, we get:</u>
50 = 2x .................> Divide both sides by 2
x = 25
<u>2- getting the value of y:</u>
We know that the sum of the internal angles of a triangle is 180°
<u>This means that:</u>
∠ABC + ∠CAB + ∠ACB = 180°
<u>We have:</u>
∠ABC = 2x = 50°
∠ACB = 5y + 10
∠CAB = 50°
<u>Now, we substitute to get the value of y as follows:</u>
50 + 50 + 5y + 10 = 180
110 + 5y = 180
5y = 180 - 110
5y = 70 .............> Divide both sides by 5
y = 14
Hope this helps :)
Answer: 6
That chart is confusing ash, but median just refers to the middle value. Just put them in order (4,4,6,9,12) and then find the middle. In this case it's easy as there are an odd number of values. But if you have another question where there are an odd number, for example (4,4,6,10,12,15) find the two middle numbers, 4 and 9, add them (6+10=16) and then divide by 2 to find the number in between those two. (16/2=8)
Hope this helps!
1/10 chance on winning with 1 ticket...so winning with 4 tickets =
1/10 * 1/10 * 1/10 * 1/10 = 1/(10^4) = 1/10,000
Simply put this just means add the like terms together.
f(x) + g(x) = 4x^2 - 5x +7 + 3x^2 - 2x + 8
f(x) + g(x) = 7x^2 - 7x + 15. Don't go any further.
Answer:
The length of FG is 
.
Step-by-step explanation:
Since the altitude of the triangle bisects the third side, triangle FGH is isosceles.
Therefore 
This implies that,
This is a linear equation where we easily solve for 
.
We group like terms to get,
We divide both sides by 2 to obtain,
.
The length of FG is
