9514 1404 393
Answer:
2. chord theorem; t = 10.5
3. chord theorem; x = 5
Step-by-step explanation:
For both of these problems, the relevant theorem is the "intersecting chord theorem", also referred to as the "chord theorem." It tells you the product of the lengths of the parts of one chord is equal to the product of the lengths of the parts of the other chord.
2. 20t = 10·21
t = 210/20 . . . . divide by 20
t = 10.5 . . . . . . . simplify
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3. 10(x +4) = 15(x +1)
10x +40 = 15x +15 . . . . . eliminate parentheses
25 = 5x . . . . . . . . . . . . . subtract 10x+15
5 = x . . . . . . . divide by 5
You can use a proportion.
4 hours is to 82 miles as 14 hours is to x miles
4/82 = 14/x
Cross multiply to get
4x = 14 * 82
4x = 1148
x = 287
287 miles
Sides FH and HJ are not congruent
Answer:
h=11
Step-by-step explanation:
divide:
132/12h
11h
Answer:
F and H
Step-by-step explanation:
From the image attached, the location of the points are E = -9, F = -6, G = -2, H = 6, I = 8. The law of additive inverse states that for a number a, its additive inverse is a number that when added to a equals to zero. This number is usually opposite in sign to a and of the same magnitude i.e -a. The law is given as:
a + (-a) = 0
From the points, F is the additive inverse of H, hence:
F + H = 0
6 + (-6) = 6 - 6 = 0
Hence the two points are F ad H
