Answer:
147.5 km and 64.4 km
Step-by-step explanation:
a=120 km
b=70 km
β=28 degrees (
∘)
b^2=(a^2)+(c^2)−2ac*cosβ
70^2
=(120^2
)+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )
(c^2
) −211.907c+9500=0
note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use
p=1;q=−211.907;r=9500
D=(q^2
) −4pr=(211.907^2
)−4⋅1⋅9500=6904.75561996
D>0
=
(−q±
)/2p=(211.91±
)/2
=105.95371114±41.5474295834
(
−147.501140726)(
−64.4062815596)=0
=147.501140726
=64.4062815596
Answer:
AAS
Step-by-step explanation:
Since AB and DE are congruent and angle ABC is congruent to angle EDC, all you need now is an angle
Angle ACB is congruent to angle DCE because of vertical angles
Therefore, AAS would work
Answer:
False
Step-by-step explanation:
Find the area of the parallelogram with vertices: (2,2,0),(5,3,0),(4,7,0),and(7,8,0).
PtichkaEL [24]
Answer:
13 square units
Step-by-step explanation:
Let the vertices of parallelogram are
A(2,2,0),B(5,3,0),C(4,7,0) and D(7,8,0)
Side AB=
Side AD=D-A=
We know that
Area of parallelogram=Magnitude of product of adjacent sides




Where x=Component along x-axis
y=Component along y- axis
z=Component along z-axis
Square units
Hence, the area of parallelogram=13 square units