9514 1404 393
Answer:
∠1 = 67°; ∠2 = 113°
Step-by-step explanation:
<u>Given</u>:
∠1 = 2x-3
∠2 = 3x +8
∠1 +∠2 = 180
<u>Find</u>:
∠1, ∠2
<u>Solution</u>:
Substituting the first two relations into the third, we have ...
(2x -3) +(3x +8) = 180
5x +5 = 180 . . . eliminate parentheses
x + 1 = 36 . . . . . divide by 5
x = 35
Then the angles are ...
∠1 = 2x-3 = 2(35) -3
∠1 = 67°
∠2 = 3x +8 = 3(35) +8
∠2 = 113°
Answer:
X 
-5
Step-by-step explanation:
Answer:
11 pounds
Step-by-step explanation:
Let x pounds of chocolate costing $16.50 per pound mixed with 13 pound of trail mix costing $2.90 per pound to create a mixture worth $9.13,
Thus, the total quantity of trail mix = ( x + 13 ) pounds,
Also, the cost price of x pounds of chocolate + cost price of 13 pounds of trail mix = cost price of resultant trail mix
∵ total cost = number of pounds × price per pound
⇒ 16.50x + 2.90(13) = 9.13(x+13)
⇒ 16.50x + 37.7 = 9.13x + 118.69
⇒ 16.50x - 9.13x = 118.69 - 37.7
⇒ 7.37x = 80.99
⇒ x = 10.989145 ≈ 11
Hence, 11 pounds of chocolate should be mix.
Answer:
x = 0 and x = -1/2
Yes there is an error in the student's work. The error is that he is considering only single value of x. To correct the error he/she must calculate all the possible values of x. The process is shown in the paper.
Answer:
108 units^2
Step-by-step explanation:
(1+8)/2 = 4.5 and 4.5*24=108
