Answer:
option 2.
m1 = 75 , m2 = 129 , m3 = 100
Step-by-step explanation:
with the rule that the internal angles of a triangle add up to 180 ° we can calculate the missing angles
x + 46 + 29 = 180
x = 180 - 46 -29
x = 105
a flat angle has 180 °
m1 + 105 = 180
m1 = 180 - 105
m1 = 75
46 + 54 + y = 180
y = 180 - 46 -54
y = 80
80 = z + 29
z = 80 - 29
z = 51
as they are two crossed lines the angle is reflected from the opposite side
with that principle and knowing that the angle of a turn is 360 °, if we subtract the 2 known angles and divide it by 2 we will obtain the missing angle (m2)
m2 * 2 = 360 - 51 * 2
m2 = 258/2
m2 = 129
m2 = 29 + m3
129 = 29 + m3
m3 = 129 - 29
m3 = 100
Answer:
103
Step-by-step explanation:
it has to add up to 180 so
180-77=103
12x2-7=6-2x2+2
14x^2-15=0
a=14 , b =0 , c=-15
0^2-4x14x(-15) =
840
Answer:
$293.83
Step-by-step explanation:
She started with $153. The next day she withdrew $15.72 six times, that is $15.72*6 = $94.32
We have to subtract $94.32 from the starting amount, that is $153 - $94.32 = $58.68
After that, she deposited $235.15. We have to add that to the current balance.
Now she has $58.68 + $235.15 = $293.83
Therefore, her account balance after these transactions is $293.83
Answer:
-5
Step-by-step explanation:
Once you get y alone the equation will look like this y=-7/4x-5.
The slope intercept form dictates that y=mx+b, with b being the y-intercept, so -5 is b, therefore the y intercept.