Answer:
x = 25
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
That is ∠ D and ∠ B are corresponding angles and congruent, thus
4x - 20 = 2x + 30 ( subtract 2x from both sides )
2x - 20 = 30 ( add 20 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
The slope of your line is the x-coefficient: 5.
The slope of a perpendicular line is the negative reciprocal of that: -1/5.
Answer:
The second band
Step-by-step explanation:
50+20=70
20+25=45
Answer:
Step-by-step explanation:
Rule for the rotation of a point 180° about the origin is,
(x, y) → (-x, -y)
Therefore, images of the points after the rotation of 180° will be,
A(2, 6) → A'(-2, -6)
B(6, 7) → B'(-6, -7)
C(5, 3) → C'(-5, -3)
D(1, 2) → D'(-1, -2)
Now we can plot these points on the graph as attached.
5000(1+.085/4)^n=1000
to find n use log:
1.02125^n
N X log1.02125
when computed=32.9
round to 33 quarters compounded
33/4
equals to 8 years 3 months
