Step-by-step explanation:
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Answer:
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Step-by-step explanation:
1. BK is an angle B bisector, then
(definition of angle bisector)
2. BM = MK, then
triangle BMK is isosceles triangle with base BK.
3. Angles adjacent to the base of isosceles triangle are congruent, then
Note that angle MBK is the same as angle CBK.
4. By substitution property,
5. By alternate interior angles theorem,
if , then
For all the non-negative numbers, the absolute value is always equal to the actual number.
If "x" is any non-negative number, then:
|x| = x
For all negative numbers, the absolute value is equal to -1 multiplied to that number.
If x is any negative number, then:
|x| = -x
So, if after subtracting 2 the number is not anymore equal to it absolute value, this means when 2 is subtracted the number changes from positive to negative.
Only one such number exists that changes from positive to negative on subtraction of 2 and that number if 1.
Absolute value of 1 is 1.
When 2 is subtracted from 1, the result is -1. The absolute value of -1 is also 1. So the absolute value is no longer equal to the original value.
The possible number that satisfies the given condition is 1.
If it moves 423 feet in 7 minutes, you divide 423 by 7 to see how much it moves per minute, which is Around 60.4 feet per minute
3 burritos and 4 tacos cost 11.33 3b + 4t = 11.33
<span>9 burritos and 5 tacos cost 23.56 9b + 5t = 23.56 </span>
<span>To solve: multiply top equation by 3. </span>
<span>3(3b + 4t = 11.33) becomes 9b + 12t = 33.99 </span>
<span>9b + 5t = 23.56 stays as is 9b + 5t = 23.56 </span>
<span>Now subtract the second equation from the first and you will get </span>
<span>7t = 10.43 which you can solve by dividing both sides by 7 to get t = 1.49 so a taco costs $1.49. </span>
<span>Now replace a t in either equation with 1.49 so 3b + 4t = 11.33 becomes 3b +4(1.49) = 11.33 or 3b + 5.96 = 11.33. Now subtract 5.96 from each side leaving 3b = 5.37 and finally divide both sides by 3 to get b = 1.79 so a burrito costs $1.79 </span>
<span>Problem Two: </span>
<span>3 brass and 10 steel costs $48 3b + 10s = 48 </span>
<span>7 brass and 4 steel costs $54 7b + 4s = 54 </span>
<span>To solve: multiply top equation by 2 and the bottom equation by 5 so the number of s's will be equal </span>
<span>2(3b + 10s = 48) becomes 6b + 20s = 96 </span>
<span>5(7b + 4s = 54) becomes 35 b + 20s = 270 </span>
<span>Now subtract the top equation from the bottom equation and you will get 29b = 174. Divide both sides by 29 to get b = 6. </span>
<span>Now replace the b of either original equations with the 6 (say the top equation) to get 3(6) + 10S = 48 or written another way, </span>
<span>10s + 18 = 48. Now subtract 18 from both sides to get 10s = 30 and then divide both sides by 10 to get s = 3. </span>
<span>b=6 and s=3 so each brass part is $6 and each steel part is $3.</span>