9514 1404 393
Answer:
Step-by-step explanation:
When x represents the number, "the sum of 3 and a number" is (x+3). Twice that sum is 2(x+3). "Is 30" means this expression is equal to 30:
2(x +3) = 30 . . . . an equation for the given conditions
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We can solve this equation by dividing by 2:
x + 3 = 15
x = 12 . . . . . . subtract 3
The number is 12.
Answer:
Step-by-step explanation:
We know that the sum of all the angles of a triangle add up to 180 degrees.
So, let's combine like terms:
7x + 3x + x = 11x
5 + 10 = 15
So, 11x + 15 = 180
We can rearrange the equation to look like this:
180 - 15 = 11x
180 - 15 = 165
So, 11x = 165
Then, divide:
165 / 11 = 15
So, x = 15.
Now we can find the measure of all the angles!
3x = 3 x 15 3 x 15 = 45.
7x + 5 = (7 x 15) + 5 7 x 15 = 105 105 + 5 = 110
x + 10 = 15 + 10 15 + 10 = 25
So, the angles are:
45 degrees
110 degrees
And 25 degrees
Answer:
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Step-by-step explanation:
Answer:6cm
Step-by-step explanation:
Answer:
240
Step-by-step explanation: