Rectangle JKLM is similar to rectangle WXYZ .
2 answers:
Answer:
The scale factor is equal to
Step-by-step explanation:
we know that
If rectangle JKLM is similar to rectangle WXYZ
then
the ratio of their corresponding sides is equal and is called the scale factor
so
In this problem
In this problem we have
Substitute
-----> is true
The rectangles are similar
The scale factor is equal to
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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:
R = (- 3.5, - 7 )
Step-by-step explanation:
Using the Section formula
=
=
=
= - 3.5
=
=
=
= - 7
Thus coordinates of R = (- 3.5, - 7 )