Which of the following proportions can be used to find the value of n?
2 answers:
Answer:
B)
Step-by-step explanation:
The side "ML" is similar to the side "IH", as shown by their position and the small line going through them. If we create a ratio of these sides since they are similar, we get 15/5.
The format of this ratio is (side on big trapezoid)/(side on small trapezoid).
Now, we substitute "GH" in the correct spot now that we have established the format for our ratios.
since "GH" is on the small trapezoid, we get a ratio of
(side on big trapezoid)/11.
So if we set both of our ratios equal to one another now, this is what we get:
which matches choice B.
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The expression that represents the value of z is
Complex numbers are numbers that have real and imaginary parts
A complex number (n) is represented as:
From the above expression, we have:
- a represents the real part
- bi represents the imaginary part
Given that:
Rewrite the above expression as:
Take the cube roots of both sides
The letters are not given.
Hence, the expression that represents the value of z is
Read more about complex numbers at:
Answer:
AG = 4
AH = 21
EC = 12
CH = 5
HE = 7
Step-by-step explanation:
<u><em>The complete question is</em></u>
The diameters of circles A, C and E are 32 cm, 24 cm and 14 cm respectively.
Which of the following statements are true? Select all that apply.
•AG = 4
•GC = 10
•AH = 21
•EC = 12
•EH = 5
•CH = 5
•HE = 7
The picture of the question in the attached figure
<u><em>Verify each statement</em></u>
1) AG = 4
we know that
----> radius of circle A
----> radius of circle C
substitute
therefore
The statement is true
2) GC = 10
we know that
----> radius of circle C
therefore
The statement is false
3) AH = 21
we know that
we have
----> radius of circle A
----> radius of circle C
----> radius of circle E
so
therefore
The statement is true
4) EC = 12
we know that
----> radius of circle C
therefore
The statement is true
5) EH = 5
we know that
----> radius of circle E
therefore
The statement is false
6) CH = 5
we know that
----> radius of circle C
----> radius of circle E
so
therefore
The statement is true
7) HE = 7
we know that
----> radius of circle E
therefore
The statement is true
