24. 9×4=36 4×-3=12 so 36+(-12)=24
Answer:
angle YUT = 120
Step-by-step explanation:
in Triangle SUT
angle 70 + angle 50 + angle x = 180
70 + 50 + x = 180
120 + x = 180
x = 180 - 120
x = 60
angle SUT = 60
angle SUT + angle YUT = 180 ( straight line)
60 + x = 180
x = 120
Therefore angle YUT ( exterior angle ) = 120
Answer:
Coordinates of the endpoint g is (10,5)
Step-by-step explanation:
The coordinates of a midpoint can be found using the formula;
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
In this case, we have the mid point but we want to get the end point
Thus;
(6,1) = (x1 + 2)/2 , (y1-3)/2
x1 + 2 = 2(6)
x1 + 2 = 12
x1 = 12-2
x1 = 10
y1 - 3 = 2(1)
y1 -3 = 2
y1 = 2 + 3
y1 = 5
The coordinates of G are (10,5)
AB = x
BC = 3x
AC = 20 inches = AB + BC
Let's plug our values into the equation above.
20 inches = x + 3x
Combine like terms
20 inches = 4x
Divide both sides by 4
5 = x
AB = x = 5 inches
BC = 3x = 3(5) = 15 inches
Step-by-step explanation:
4x +13 +79+79+ 11x-6 = 360
15x +165 = 360
15x = 195
x =13
QRS = 11(13)-6 = 137