Answer:
56x-42x+63
Step-by-step explanation:
9514 1404 393
Answer:
Step-by-step explanation:
The decimal form of a ratio is found by dividing the numerator by the denominator. You will find this reduces to the fraction 21/34, which has a 16-digit repeat when expressed as a decimal.
Using a calculator with suitable precision, you can see all of the repeating digits:
Answer: x = 123
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Here are the basic steps:
Step 1) Find the measure of angle 7 (near the 35 degree angle)
Step 2) Find angle 6 (in the center; bottom angle)
Step 3) Use angle 6 to find the value of x
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Let's go through those steps mentioned
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Step 1) Finding the measure of angle 7
We see that the 35 degree angle and angle 7 combine to form a 90 right angle. So they must add to 90 degrees
(angle 7) + 35 = 90
(angle 7) + 35 - 35 = 90 - 35
angle 7 = 55
So angle 7 is 55 degrees. We'll use it on the next step
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Step 2) Finding the measure of angle 6
We'll use the result from step 1. The triangle with angle 7, angle 6, and the 68 degree angle will be focused on here. Recall that for any triangle, the three angles must add to 180 degrees.
So,
(angle 7) + (angle 6) + 68 = 180
(55) + (angle 6) + 68 = 180
(angle 6) + 55 + 68 = 180
(angle 6) + 123 = 180
(angle 6) + 123 - 123 = 180 - 123
angle 6 = 57
So we now know that angle 6 is 57 degrees
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Step 3) Find x
We now use the fact that angle 6 and angle x are a linear pair. They combine to form a straight line, or straight angle. In other words they add to 180 degrees (they are supplementary angles)
So,
(angle 6) + x = 180
(57) + x = 180
x + 57 = 180
x + 57 - 57 = 180 - 57
x + 57 - 57 = 123
x = 123
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Side note: we can use the exterior angle theorem to skip over step 2. To do this, we add up angle 7 (which was 55 degrees) to 68 to get 123 degrees which is the same answer.
Your answer would be 12.
She can use 12 connecting cubes to make the model in only two ways.
Answer:
Look for the same entry in both (all) tables.
Step-by-step explanation:
We assume here that the system of equations consists of two equations in two variables. If there are more equations in more variables, the general approach is the same.
A "solution" to a system of equations is a set of variable values that satisfies all equations of the system simultaneously. A table for one equation will generally list sets of variable values that satisfy that equation. <em>When the same set of values appears in the table for each of the equations, then that set of values is the solution</em>.
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<u>Example</u>
The attachment shows tables for two equations:
Highlighted are the table entries that are the same for both equations. This is the solution to the system of equations. (x, y) = (3, 6) satisfies both equations:
