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
1) given x^4 + 95x^2 - 500
2) split in two factors with common factor term x^2: (x^2 + )(x^2 - )
3) find two numbers that add up 95 and their product is - 500:
=> 100*(-5) = - 500 and 100 - 5 = 95
=> (x^2 + 100)(x^2 - 5)
4) factor x^2 - 5 = (x + √5) (x - √5)
5) write the prime factors: (x^2 + 100) (x + √5) (x -√5)
6) find the solutions:
x^2 + 100 = 0 => not possible
x + √5 = 0 => x = - √5
x - √5 = 0 => x = √5
Answer: x = √5 and x = - √5
Answer:
The slope is 2/3
Step-by-step explanation:
-1/2x+3/4y=0
To find the slope, we need to get the equation in the form y= mx+b
Add 1/2x to each side
-1/2x+ 1/2 x+3/4y=0+1/2x
3/4 y = 1/2x
Multiply by 4/3 to isolate y
4/3 * 3/4 y = 4/3 * 1/2 x
y = 2/3 x
The slope is 2/3 and the y intercept is 0
Answer:
x= y+2/3+4
Step-by-step explanation:
Answer:
Step-by-step explanation:
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