Answer:
a) 3.2 pages per minute b) $5.33 per hour
Step-by-step explanation:
a) divide 32 by ten
b) divide 32 by six
We know that since a diameter splits a circle in half, the arcs EF, FG, and GH must add up to 180°, half the measure of a full circle. We can then use the arc addition property to create an equation using the information we know. This equation would be (10x + 8) + 67 + 11x = 180. This can be simplified to x = 5. Therefore, the value of x is 5. Now, we can simply plug in the value of x into the expressions for EF and GH. This means that the measure of EF is 58° and the measure of GH is 55°.
Hope this helps!
Answer:
12
Step-by-step explanation:
A constant in an expression is the number that is not attached to any variable, and this includes the sign that comes with the number.
0.05m +12
In the expression above, m is the variable thus 0.05 is known as the coefficient of m instead of a constant. Coefficients are numbers that are multiplied to variables.
+12, which can simply be written as 12, is not multiplied to any variable and is thus the constant.
The value of the number 12 will not change no matter the value of m. The fact that the value stays the same makes it a constant.
Additional:
To learn more about constant, check out the following!
Answer:
Step-by-step explanation:
Remark
The relationship that solves this is
The outside segment * the whole length of the secant = the outside segment of the other secant * the whole length of the second secant.
Put in symbolic (and hence easier language)
GF * EG = HG * SG
Givens
GF = 4
EG = 2x + 4
GH = 5
SG = x + 5
Equation
4*(2x + 4) = 5*(x + 5) Remove the brackets
8x + 16 = 5x + 25 Subtract 5x from both sides
8x - 5x + 16 = 25 Combine
3x + 16 = 25 Subtract 16 from both sides
3x = 25 - 16
3x = 9 Divide by 3
3x/3 = 9/3
x = 3
EF = 2 * 3
EF = 6
The original equation we have is : <span>−x − 2y = −10
We need to isolate the x, which means that we need to get x alone on one side of the equation preferably in a positive form.
So, going back to the original expression:
</span><span>−x − 2y = −10
To make x positive, we will add x to both sides of the equation, thus, we get:
-2y = -10 + x
The next step is to eliminate the -10 from beside the x. To do this we will add 10 to both sides of the equation. When doing this we get:
x = -2y + 10
Based on this, the correct choice is A : -2y + 10</span>
