Answer: x = 5
Step-by-step explanation: This is an isosceles triangle, which means two sides are equal in length and two angles are equal in measurement.
Line BA = Line BC
Similarly, Angle A = Angle C
Angle A plus Angle C equals 146°
Also the sum of the interior angles of a triangle is 180°
Therefore, 146 + (6x + 4) = 180
Subtract 146 from both sides of the equation
6x + 4 = 34
Subtract 4 from both sides of the equation
6x = 30
Divide both sides of the equation by 6
x = 5
(x + 3)/(4 - x) = 13/15
15(x + 3) = 13(4 - x)
15x + 45 = 52 - 13x
15x + 13x = 52 - 45
28x = 7
x = 7/28 = 1/4
Therefore, 1/5 is not a solution
Answer:
First tables blanks are 160, 195, 230, 300
The rate of change would be 35/1 cos the cost is going up by 35 and the months are going up by one
The second tables first row is 1 2 3 4 5, the second row is 5 7 9 11 13
Step-by-step explanation:
–(11/4) = 11 : (–4) = –11/4 = 11/-4
Let quarters = q and
Dimes = d
We have 741 coins total so q + d = 741
Since quarters are 25 cents and Dimes are 10 cents then
25q + 10d = 10725 cents
Now we have 2 equations that we can solve using addition or substitution.
Using addition, first multiply the first equation by -10
-10 (q+d) = 741 (-10)
-10q - 10d = -7410
Now add the equations together
(-10q -10d = -7410)
+ (25q + 10d =10725)
________________
15q = 3315
q = 3315 / 15
q = 221
this is the number of quarters
Now plug this back into the original equation
q + d = 741
221 + d = 741
d = 741 - 221
d = 520
There are 520 dimes
