Answer:
=94 cm
Step-by-step explanation:
Using the Triangle angle bisector theorem
We can find the value for YK
TV VY
------- = -----------
TK YK
95.2 34
------- = -----------
168 YK
Using cross products
95.2 * YK = 34* 168
Divide each side by 95.2
YK = 34* 168/95.2
YK =60
We want to find VK
VK = VY+YK
= 34+60
=94 cm
9514 1404 393
Answer:
(-5,1)
Step-by-step explanation:
To eliminate x, multiply the first equation by 3 and add 2 times the second equation.
3(-2x +7y) +2(3x -4y) = 3(17) +2(-19)
-6x +21y +6x -8y = 51 -38
13y = 13
y = 1 . . . . . matches the third answer choice
(x, y) = (-5, 1)
Answer:
g(x) = (-1/25)x + (203/25)
Step-by-step explanation:
The general equation for a line is slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
We know that perpendicular lines have opposite-signed, reciprocal slopes of the original line. Therefore, if the slope of f(x) is m = 25, the slope of g(x) must be m = (-1/25).
To find the y-intercept, we can use the newfound slope and the values from the given point to isolate "b".
g(x) = mx + b <----- General equation
g(x) = (-1/25)x + b <----- Plug (-1/25) in "m"
8 = (-1/25)(3) + b <----- Plug in "x" and "y" from point
8 = (-3/25) + b <----- Multiply (1/25) and 3
200/25 = (-3/25) + b <----- Covert 8 to a fraction
203/25 = b <----- Add (3/25) to both sides
Now that we know both the values of the slope and y-intercept, we can construct the equation of g(x).
g(x) = (-1/25)x + (203/25)
Step-by-step explanation:
A straight line adds up to 180°
m+3m=180°
4m=180°
m=45°
3m=45°
angle CBD=3(45)
=135°
Answer:
one
Step-by-step explanation:
