Answer:
X = 75
Step-by-step explanation:
Angle F and angle X are corresponding angles so they are congruent (equal)
Angle F and 105 form a straight line so they are supplementary angles, which means they add to 180
F+ 105 = 180
F = 180-105
F = 75
F = X = 75
It is between 3.1 and 3.17 or 3.2 if you want it by hundredths.
This is because 3.16 is 3.1600000 and many more zeros but 3.16227766 is slightly over that so it would be between 3.1 and 3.17.
Answer: A proportional relationship needs to pass through the origin and have a linear (straight) slope. Let me know if you need more specifics.
1. Slope intercept form. First find two points to get slope: (0,-3) and (-3,-4). Slope is
(-4 - -3)/(-3 - 0)= 1/3
Use one of the points of (x,y) to solve for b
Y=1/3x + b
-3 = 1/3(0) + b
-3 = b so your slope intercept equation is
Y = 1/3x - 3
2. Rate of Change is slope. Your points are (0,10) and (24,6) so slope is (6-10)/(24-0)
= - 1/6 which means that for each 1 unit increase in x, y decreases by 1/6.
3. Standard form is ax + by =c
Notice it is the same line as in the first graph so it's the same equation
y = 1/3x - 3
First, you cannot have fractions, so you have to multiply the equation by 3 to get rid of the 1/3.
3y= x - 9. Now move the x over:
-x + 3y = - 9. Now get rid of the negative value on x by multiplying the entire equation by -1:
x - 3y = 9
Answer:
b
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ← r is the radius
The circle shown is centred at the origin and has a radius of 5, thus
x² + y² = 5² ⇒ x² + y² = 25 → b
