Answer:
D. 25
Step-by-step explanation:
The left end of the baseline has measure (x-16). In this geometry all of the right triangles are similar, so the short-to-long side ratios are proportional:
(x -16)/12 = 12/16
x -16 = 9 . . . . . . . multiply by 12
x = 25 . . . . . . . . . add 16
The unknown length x is 25.
Answer:
The answer is B
Step-by-step explanation:
I just did the Quick Check, the attachment is the answer, np.
Answer:First, you must find the midpoint of the segment, the formula for which is
(
x
1
+
x
2
2
,
y
1
+
y
2
2
)
. This gives
(
−
5
,
3
)
as the midpoint. This is the point at which the segment will be bisected.
Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula
y
2
−
y
1
x
2
−
x
1
, which gives us a slope of
5
.
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of
5
is
−
1
5
.
We now know that the perpendicular travels through the point
(
−
5
,
3
)
and has a slope of
−
1
5
.
Solve for the unknown
b
in
y
=
m
x
+
b
.
3
=
−
1
5
(
−
5
)
+
b
⇒
3
=
1
+
b
⇒
2
=
b
Therefore, the equation of the perpendicular bisector is
y
=
−
1
5
x
+
2
.
Step-by-step explanation:
Answer:
Treaty of Guadalupe Hidalgo (1848) This treaty, signed on February 2, 1848, ended the war between the United States and Mexico. By its terms, Mexico ceded 55 percent of its territory, including parts of present-day Arizona, California, New Mexico, Texas, Colorado, Nevada, and Utah, to the United States.
Step-by-step explanation:
