In triangle MNP if the measure of angle R is five more than twice x, and the measure of angle S is one more than x, and the meas
1 answer:
Answer:
x = 19
Step-by-step explanation:
Let's convert the given statements into algebraic expressions.
R is five more than twice x:
R = 2x + 5
S is one more than x:
S = x + 1
T is sixteen less than seven times x:
T = 7x - 16
Also, we know, the sum of 3 angles in a triangle is ALWAYS EQUAL to 180 degrees. Thus we can write:
R + S + T = 180
Substituting the expressions, we have:
2x + 5 + x + 1 + 7x - 16 = 180
Now we do algebra and simply solve for x. Shown below:
Hence, x = 19
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Answer:
9 cans of white paint
Step-by-step explanation:
To solve this you can set up a ratio.
The ratio right now is 3 : 2, you have 3 cans of white paint for every 2 cans of blue paint. This question is asking how many white paint cans would be needed for 6 cans of blue paint. You can see the relationship between the number of blue paint cans and the new number of blue paint cans, maybe it's multiplying by 4 or 2 for example, and once we find that out we can do the same exact thing to the white cans.
We can see that to get from 2 to 6 you multiply by 3, so now we do that to the other side of the fraction as well, we multiply by 3. 3 multiplied by 3 is 9, so if we were to have 6 cans of blue paint we would need 9 cans of white paint to get that perfect shade of light blue. Anne would need 9 cans of white paint if she had 6 cans of blue paint to make her shade of blue.