Answer:
The answer to your question is below
Step-by-step explanation:
I numbered the squares, see the picture below
Angle 3 and the angle given are vertical angles so they measure the same
angle 3 = 137°
The sum of the angles 1, 2, 3 and 137 equals 360°, so
angle 1 + 137 + angle 3 + 137 = 360
and angle 1 and 3 are vertical angles so angle 1 = angle 3
2angle 1 = 360 - 137 -137
2 angle 1 = 86
angle 1 = 86 /2
angle 1 = 43°
angle 2 = 43°
The angle given and the angle 5 are corresponding angles, they measure the same
angle 5 = 137°
Angle 5 and 6 are vertical angles, they measure the same
angle 6 = 137°
Angle 2 and angle 7 are corresponding angles, they measure the same
angle 7 = 43°
Angle 3 and angle 6 are corresponding angles
angle 6 = 137°
Angle 4 and 7 are vertical angle, so they measure the same
angle 4 = 43°
Answer:
B
Step-by-step explanation:
Trust me
Write it as an equation:
X - 10 = 6x + 3
Now solve for x:
Subtract 3 from both sides:
x-13 = 6x
Subtract 1 x from both sides:
-13 = 5x
Divide both sides by 5:
x = -13/5
Answer:
1.
Step-by-step explanation:
Note that 2^4 - 2^3 = 16 - 8 = 8 = 2^3
In a similar way 2^6 - 2^5 = 64 - 32 = 32 = 2^5.
So 2^99 - 2^98 = 2^98 , 2^98 - 2^97 = 2^97 , 2^97 - 2^96 = 2^96 and so on.
Therefore when we come to the last 2 terms we have 2^1 - 2^0 = 2 - 1
= 1 , so the answer is 1.
The value of b^2-4ac is known as the discriminant of a quadratic function, and can tell you how many roots exist of this function depending on what it is equal to.
Start by moving the -1 to the other side, as we need this function to equal zero.
2x^2 + 3x + 1 = 0
This is now the standard form ax^2 + bx + c = 0. Plug each value that corresponds into the discriminant equation.
b^2-4ac
(3)^2 - 4(2)(1)
9 - 8
1
The value of the discriminant is 1, meaning that two real roots exist for the function described.
