Answer:
Step-by-step explanation:
3x + x + 60 = 180.
first, we add the x's together.
4x + 60 = 180
then we see if they all have a common multiple. in this case, they do. they are all divisible by 4, so we can use that.
x + 15 = 45
then, just subtract 15 from both sides, that way we get the variable by itself.
x = 30
also, it is a right triangle. the top angle (3x) multiplied by 3 is 90. any triangle that has a 90 degree angle is automatically a right triangle.
Common difference is -2-5 = -7
first term is 5
a_50 = 5 -7(50-1) = -338
2) d = 3 - (-7) = 10
a = -7
a_110 = -7 + 10(110 - 1) = 1083
d = -27 - (-22) = -5
second -7 - 5= -12
third = -12 - 5 = -17
Ah bg de cf
Step-by-step explanation:
i think thats how you do it becuse i did that
Answer:
(3, 50) and (14,303)
Step-by-step explanation:
Given the system of equations;
y=23x–19 ....1
x²–y= – 6x–23 ...2
Substitute 1 into 2;
x²–(23x-19)= – 6x–23
x²–23x+19= – 6x–23 .
x²-23x + 6x + 19 + 23 = 0
x² - 17x + 42 = 0
Factorize;
x² - 14x - 3x + 42 = 0
x(x-14)-3(x-14) = 0
(x-3)(x-14) = 0
x = 3 and 14
If x = 3
y = 23(3) - 19
y = 69-19
y = 50
If x = 14
y = 23(14) - 19
y = 322-19
y = 303
Hence the coordinate solutions are (3, 50) and (14,303)
Step-by-step explanation:
Length of title to board = (1/3) : (1/2) = 2 : 3.
Area of tile to board = (1/3)² : (1:2)² = 4 : 9.
