c.
x = 130° (exterior opposite angles)
y + x = 180° (linear pair of angles)
=> y + 130° = 180°
=> y = 180° - 130°
=> y = 50°
d.
z = 100° (corresponding angles)
a = 100° (corresponding angles)
x + 100° = 180° (linear pair of angles)
=> x = 180° - 100°
=> x = 80°
y = x (interior opposite angles)
=> y = 80°
b = y (corresponding angles)
=> b = 80°
g.
a = 112° (vertically opposite angles)
b = a (interior opposite angles)
=> b = 112°
x = 78° (vertically opposite angles)
x + y = 180° (interior angles on the same side of transversal)
=> 78° + y = 180°
=> y = 180° - 78°
=> y = 102°
h.
f = 120° (vertically opposite angles)
e = 105° (vertically opposite angles)
c = 120° (corresponding angles)
d = 105° (corresponding angles)
a + d = 180° (linear pair of angles)
=> a + 105° = 180°
=> a = 180° - 105°
=> a = 75°
b + c = 180° (linear pair of angles)
=> b + 120° = 180°
=> b = 180° - 120°
=> b = 60°
Answer:
3y= -2x-6
Step-by-step explanation:
The two points on the line are (-3,0) and (0,-2)
so you first get the gradient;
gradient= <u>change in y</u>
change in x
= <u>-2-0</u>
0-(-3)
=<u> -2</u>
3
so the answer above is the gradient
then pick one point that you used to get the gradient with, so as for me I'll pick (-3,0) and then a general point which is always (x, y)
since you have the gradient you can easily get the equation by doing this
<u>y-0</u><u>. </u><u> </u> = <u>-2</u>
x-(-3). 3
then crossmultiply to get the equation of the line
3y= -2(x+3)
3y= -2x-6
Answer:
<edf=23(angles standing on common arc fe)
The function g(x) has vertex (0,2) and the function of the graph has vertes (-2,0), so this latter is the function f(x).
Now analyze the statements.
<span>Neither function is an even function ---> FALSE because the fact that the function g(x) has vertex (0,2) means that the symmetry axis of the parabole is the y-axis, so you know that g(x) = g(-x) which is the definition of an even function.
Only the function g(x) is an even function ---> TRUE: I already explained you why you can tell that g(x) is even. Now you just mut observe the graph of f(x) to realize that f(x) is not equal to f(-x) which means that it is not even.
Both functions are even functions ---> FALSE as we stated above f(x0 is not even.
Only the function f(x) is an even function ---> FALSE as we stated above.</span>
A² + B² = C²
7 ² + 24² = 625
625<span> √ = 25.
</span>your answer is 25
