Answer:
C) Subtraction property of equality.
Step-by-step explanation:
Given that, two lines
and
intersect to make pairs of vertical angles:
and
.
Kindly refer to the attached image for details of the given angles and lines.
Proof that
:

Here, subtraction property of equality is used in the last step shown in the above.
As per the <em>Subtraction property </em>of equality, when some value is subtracted from both the sides of the equality, equality remains the same.
Answer: Yes they are like terms
They both have the same variable so that is why they are like terms.
We can think of 'd' representing something like "dogs" maybe
d = 1 dog
2d = 2 dogs
3d = 3 dogs
4d = 4 dogs
and so on
Adding 2d with 4d gets us 2d+4d = 6d meaning we have 6 dogs overall if we started with 2 and added on 4 more. This is one way to help see why we can combine like terms.
In contrast, something like 2c+4d cannot be combined since having 2 cats and 4 dogs doesn't result in 6 cats or 6 dogs. We just simply leave it as 2c+4d.
Answer:
x = 70
Step-by-step explanation:
Step 1: Simplify both sides of the equations.
Step 2: Subtract 5/7x from both sides.
Step 3: Multiply both sides by 70/(-43).
Step 4: Check if solution is correct.
Therefore, x = 70.
Answer:
48.8
Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are
π= 3.14
r²= 6.76
h=2.3
3.14*6.76*2.3=48.82072
rounded to the nearest tenth=48.8
Hope this helps you!
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Answer:
22in²
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Circumference = 25 (1/7)
As we know,
Circumference of a circle = 2πr
By solving this we get
Radius (r) = 4in
Now. we can calculate the area by using following formula,
Area = πr²
By putting the value, we get
Area = (22/7) × 4²
= 22/7 × 16
= 352÷16
Area = 22in²