<h2>1. Both triangles have the same shape and size</h2><h3>Both triangles have the same angles and if one side is the same size then both of them are EQUAL.</h3><h3 /><h2>2. Line FG has a length of 5 units</h2><h3>Both triangles are equal, therefore line AC is equal to line FG. AC is 5 units long.</h3><h3 /><h2>3. 23 Degrees</h2><h3>106 + 51 = 157</h3><h3>180 - 157 = 23</h3><h3>The other triangle also has the same angles.</h3>
1. 3x=y
3+y=z
2. 1/2y=x
7x=z
The sequence is an arithmetic sequence with
a₁ = -4
d = a₂ - a₁
d = -1 - (-4)
d = -1 + 4
d = 3
an = x
Sn = 437
General formula in arithmetic sequence
Formula to find nth term
an = a₁ + d(n - 1)
Formula to find sum of sequence (sn)
Sn = n/2 (a₁ + an)
We have to make an equation system based on the problem
plug the numbers into the formula
First equation
an = a₁ + d(n - 1)
x = -4 + 3(n - 1)
x = -4 + 3n - 3
x = 3n - 7
Second equation
Sn = n/2 (a₁ + an)
n/2 (a₁ + an) = 437
n/2 (-4 + x) = 437
n(x - 4) = 874
xn - 4n = 874
Solve the equation system by subtitution method
Subtitute x with 3n - 7 in the second equation
xn - 4n = 874
(3n - 7)n - 4n = 874
3n² - 7n - 4n = 874
3n² - 11n - 874 = 0
(3n + 46)(n - 19) = 0
n = -46/3 or n = 19
Because the number of terms shouldn't be negative, -46/3 isn't required, so the value of n is 19.
Solve for x, back to the first equatin
x = 3n - 7
x = 3(19) - 7
x = 57 - 7
x = 50
The solution is 50
D because 144 /45% is 320 EZ hope i helped you drop a brianlest for me to pls
