Answer:
x = 6
Step-by-step explanation:
(8/3)x - 16 = 0
Add 16 to both sides
(8/3)x = 16
Multiply both sides by 3/8
x = 16(3/8)
x = 6
Hello! :)
Answer:
--------------------------------------------------------------------------
An angle bisector divides an angle in half, therefore:
m∠VUW ≅ m∠WUT
Set the expressions equal to each other:
4x + 6 = 6x - 10
Subtract 4x from both sides:
6 = 2x - 10
Add 10 to both sides:
16 = 2x
Divide 2 from both sides:
x = 8.
Substitute in the value of "x" into the equation for ∠WUT:
6(8) - 10 = 48 - 10 = 38°.
Answer:
The dimension of the garden is 52.5ft by 43.5ft
Step-by-step explanation:
Given
The shape above
Required
Determine PQ
Determine dimension of the garden
Calculating Length PQ
Represent the length of the inner rectangle as L
Represent the width of the inner rectangle as W
The distance between the inner rectangle and the outer triangle is 4ft
This implies that;
Substitute for
Also;
Substitute for
Calculating The Dimension of The Garden
First, we need to determine the Area of the inner rectangle
Recall that and
So;
For the bigger rectangle
Recall that and
So;
Given that the Area of the walkway is
This implies that
Substitute and
Open All Brackets
Collect Like Terms
Divide both sides by 8
Since the dimensions of the garden is and
<em>Substitute 43.5 for x in both cases</em>
<em>Hence, the dimension of the garden is 52.5ft by 43.5ft</em>
Range is given by:
(maximum value)-(minimum value)
The range of calories from morning snack will be given as follows:
maximum value=225
minimum value=85
range=225-85=160
The range of calories from the evening snack will be:
maximum value=465
minimum value=225
range=450-225=240
The difference in range
240-160=80
Hence the conclusion will be:
The range of calories in George's morning snack is about 80 less
<span>the range of calories in his after noon snack.</span>
Answer:
<h3>
</h3>
Step-by-step explanation:
Here, we have to collect like terms.
_________________________________
▪️What do you mean by like terms ?
⇒Like terms are those which have the same base. While adding or subtracting like terms, we should add or subtract the coefficients of like terms.
_________________________________
Let's add the like terms :
Answer : 4x - 36
Hope I helped!
Best regards!