Answer:
Step-by-step explanation:
By the Triangle Midsegment Theorem, x is half the length of the base of that (almost) triangle. x is definitely the midsegment because of the markings on the sides of the figure, which means that x is also parallel to the side measuring 48. Therefore, x = 24
Answer:
options 1 & 4
Step-by-step explanation:
The difference of 5 and 3:
5-3
One fourth of this difference:
(1/4) × (5-3)
Hope this helps
Answer:
x=65
Step-by-step explanation:
In a triangle the three inside angles added together always equal 180. So 73+51+21+x=180
51+21+x=107
21+x=86
x=65
Answer:
18
Step-by-step explanation:
Answer:
y= -3x +40
Step-by-step explanation:
Properties of perpendicular bisector:
• perpendicular to the given line
• cuts through the center of the given line
The equation of a line can be written in the form of y=mx +c, where m is the gradient and c is the y -intercept.
Let's find the gradient of the given line first.
Gradient of given line
The product of the gradients of perpendicular lines is -1.
m(⅓)= -1
m= -1(3)
m= -3
Substitute m= -3 into the equation:
y= -3x +c
To find the value of c, substitute a pair of coordinates in which the perpendicular bisector passes through into the equation. Since perpendicular bisectors passes through the center of the segment, we can find the point in which the perpendicular bisector passes through using the mid- point formula.
Midpoint
y= -3x +c
when x= 12, y= 4,
4= -3(12) +c
4= -36 +c
c= 4 +36
c= 40
Thus, the equation of the perpendicular bisector is y= -3x +40.