Answer:
27 and 23
Step-by-step explanation:
We can solve this problem as a system of equations. X is the first number and Y is the second number.
The first equation is x+y = 50 and the second equation is x-y=4
Now we solve the system, using elimination method:
x+y=50
x-y=4
2x = 54
x = 54/2
x = 27
And from any of the equations we can find Y
27 + y = 50
y = 50 - 27
y = 23
<h3>Given Equation:</h3>
25 - 5x = 5( -x + 5 )
<h3>Solution:</h3>
25 - 5x = -5x + 25
or, 25 - 25 - 5x + 5x = 0
or, x = 0
<h2>Answer:</h2>
<u>Option B. x = 0</u>
<h3>To Check:</h3>
25 - 5x = 5 ( -x + 5 )
or, 25 - 5(0) = 5 ( 0 + 5 )
or, 25 - 0 = 0 + 25
or, 25 = 25
LHS = RHS
Hence, Verified.
Answer:
61
Step-by-step explanation:
we kno that a triangle is 180 degrees so we just add the first two angles
37 + 82 = 119
then subtract that from 180
180 - 119 = 61
so x = 61 degrees
lmk if this wrong and ill fix it
hope this helps <3
9514 1404 393
Answer:
11 cm by 33 cm
Step-by-step explanation:
You can solve this problem mentally as follows.
Consider the rectangle as 3 squares, side-by-side. Then the area of each of those squares is 363/3 = 121 cm^2. From your knowledge of the squares of numbers, you know that 121 = 11^2. So, the width of the rectangle is 11 cm, and the length is 3 times that, or 33 cm.
_____
Using variables, we can let w represent the width. Then 3w can represent the length, and the area is ...
A = LW
A = (3w)(w) = 3x^2 = 363
w^2 = 363/3 = 121
w = √121 = 11
3w = 3·11 = 33
The width is 11 cm; the length is 33 cm.
Answer:
Step-by-step explanation:
In order to solve this it is always a good idea to start by drawing a diagram of the situation (See attached picture).
From the diagram we can see that we are dealing with similar triangles. We can use similar triangles to build an equation that relates the length of the shadow with the height of the lamp, so we get:
the height of the lamp can be found by subtracting the 
distance the lamp falls in a given time t from the original 30ft the lamp was located at.
So the equation will now lok like this:
So now we can solve the equation for L, we can start by multiplying by the LCD SO WE GET:
next, we can distribute the right side of the equation so we get:
and subtract 6L from both sides so we get:
and factor L, so we get:
and solve for L:
now, we can differentiate this equation by using the chain rule, so we get:
which can be simplified to:
and now we can substitute t for 1s so we get:
