Answer:
∠V = 33°
∠W = 90°
∠X = 57°
Step-by-step explanation:
In a right triangle, the sum of the acute angles is 90 degrees
(2x+3) + (3x+12) = 90
combine like terms
5x + 15 = 90
5x = 75
x = 15
∠V = 2x+3, x=15
2(15) + 3
30 + 3
33°
∠X = 3x+12, x=15
3(15) + 12
45 + 12
57°
Answer:
Step-by-step explanation:
The starting equation is
12-(3x+13)=0
First add 3x+13 to both sides so that only 12 is on the left
12=3x+13
now subtract 13 from both sides to isolate your variable
-1=3x
Finally divide both sides by 3 to get your final answer
x=-1/3
Answer:
Step-by-step explanation:
Ratio of cakes baked by Calvin and Susie = 3 : 7
Cakes baked by Calvin = 3x
Cakes baked by Susie = 7x
Cakes baked by Calvin = Cakes baked by Susie - 60
3x = 7x - 60
7x - 60 = 3x
7x = 3x + 60
7x - 3x = 60
4x = 60
x = 60/4
x = 15
Cakes baked by Calvin = 3*15 = 45
Cakes baked by Susie = 7 *15 = 105
Total cakes baked = 45 + 105 = 150
They both baked 150 cakes altogether.
Answer:
7 units
Step-by-step explanation:
The formula for a circle is: 
, where (x_1, y_1) is the center of the circle and r is the radius.
Right now, we see that r^2 = 49, so to find r, we square root 49 and get 7.
Thus, the answer is 7 units.
Hope this helps!
Answer:
1 + ln 2 - ln x
Step-by-step explanation:
ln ( 2e /x)
We know that ln ( a/b) = ln ( a) - ln (b)
ln (2e) - ln (x)
We also know that ln ( a*b) = ln a + ln b
ln ( 2) + ln e - ln x
We know that the ln e = 1
ln 2 + 1 - ln x
Changing the order
1 + ln 2 - ln x
