Steps in constructing a circumscribed circle on a triangle using a just a compass and a straight edge.
1) construct a perpendicular bisector of one side of ΔRST.
2) construct another perpendicular bisector of another side of ΔRST
3) the point where the two bisectors intersect will be the center of the circle.
4) place the compass on the center point, adjust its length to ensure that any corner of the triangle will be reached and draw the circumscribed circle.
Answer: The answer is C
Step-by-step explanation:
For the coordinate points
(
−
6
,
3
)
and
(
−
6
,
39
)
x
1
=
−
6
x
2
=
−
6
y
1
=
3
y
2
=
39
m
=
39
−
3
−
6
−
(
−
6
)
m
=
36
0
Because the denominator of the slope is 0 this means there is no run and therefore no slope.
Answer:
18.8 feet
Step-by-step explanation:
\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{5.4}
tanM=
adjacent
opposite
=
5.4
x
\tan 74=\frac{x}{5.4}
tan74=
5.4
x
5.4\tan 74=x
5.4tan74=x
Cross multiply.
x=18.832\approx \mathbf{18.8}\text{ feet}
x=18.832≈18.8 feet
Type into calculator and roundto the nearest tenth of a foot.
M
N
O
5.4
18.8
(adjacent to ∠M)
(opp. of ∠M)
(hypotenuse)
74°
Answer:
Part 1) The ratio of the sides is 1.5
Part 2) see the explanation
Step-by-step explanation:
Part 1) we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
If Δdef and Δxyz are similar (given problem)
then
substitute the values
solve for FY
When two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
The scale factor is equal to
Part 2) How you could verify that these two triangles are indeed similar.
Remember that
In similar figures the corresponding angles are congruent
so
If
m∠D≅m∠X
m∠W≅m∠Y
m∠F≅m∠Z
then
Triangles are similar
Answer:
29
Step-by-step explanation:
The length of the median of a trapezoid equals one-half the sum of the lengths of the bases.
