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
Answer:
c = 73
Step-by-step explanation:
We know an intercepted angle from 2 point in an arc of a circle (at the other circumference' side) is HALF of the angle measure of the arc. And if the intercepted angle is at the CENTER, its measure is SAME as the measure of the intercepted arc.
The angle 53 is given only, so we look from the 2 points in the arc of this angle. We can see that a also originates from this arc, so a is equal to 53.
B also originates from this arc, but at the center, so b = DOUBLE of 53 = 106. b = 106
b and c are supplementary (they fall in a line and thus add up to 180 degrees). So
106 + c = 180
c = 180 - 106 = 74
<em>Looking at the answer choices, c is given as 73, which is wrong! Hence, </em><em>last statement is not true.</em>
Answer:
Step-by-step explanation:
4x/2= -5
4x= -5*2
2x= -5
x= -5/2
Answer: option c
Step-by-step explanation:
To solve this problem you must keep on mind the properties of logarithms:
Therefore, knowing the properties, you can write the expression gven in the problem as shown below:
