Answer:
The measure of the angle JKG is:
m∠JKG = 56°
Step-by-step explanation:
<u>Given</u>
m∠JKG = 76-2x
m∠FHK = 6x-4
J is a midpoint of the segment FG and K is a midpoint of the segment GH.
<u>To determine</u>
m∠JKG = ?
Given that J is a midpoint of the segment FG and K is a midpoint of the segment GH. Thus, making two similar triangles, ΔJGK and ΔFGH
We know that two triangles are similar if the only difference is size. So, the angles remain the same.
so m∠JKG and m∠FHK are equal.
i.e.
m∠JKG = m∠FHK
substitute m∠JKG = 76-2x and m∠FHK = 6x-4
76-2x = 6x-4
6x+2x = 76 + 4
8x = 80
divide both sides by 8
8x/8 = 80/8
x = 10
Therefore, the value of x = 10
As
m∠JKG = 76-2x
substitute x = 10
m∠JKG = 76 - 2(10)
= 76 - 20
= 56°
Therefore, measure of the angle JKG is:
m∠JKG = 56°
The answer is x squared -3x+2
Answer:
A reasonable way to use them is to code the five most-common strings in the ... bytes, compared to a bitmap size of only 6 × 8 bits = 6 bytes. ... Columns 2, 4, 5, and 7 yield the six runs 0,5,1,1,1,eol each. ... 2.3: Replacing 10 by 3 we get x = k log2 3 ≈ 1.58k. ... Table Ans.3: Probabilities and Entropies of Two Symbols.
Step-by-step explanation:
?
Answer:
4,500 items are made every 4 hours.
5,625 items are made every 5 hours.
Step-by-step explanation:
when you multiply 1125 by for it will equal 4500 and when you multiply 1125 by 5 it will equal 5625
The amount earned by Tom is the product of the <em>rate per</em> <em>hour and the number of hours</em> worked which is $90.
- The amount earned per hour = $15
- The number of hours worked = 6 hours
<u>The amount earned at the normal earning rate can be calculated thus</u> :
- <em>Normal rate per hour × number of hours</em>
Amount earned = $15 × 6 = $90
Therefore, the amount earned by Tom after working for 6 hours at the normal rate is $90.
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