Supplementary angles are two angles that add up to 180°.
STEP 1:
find the value of x
x= smaller angle
10x + 48= larger angle
Add the two angles above to equal 180.
x + (10x + 48)= 180
combine like terms
11x + 48= 180
subtract 48 from both sides
11x= 132
divide both sides by 11
x= 12° smaller angle
STEP 2:
find the value of the second angle
=10x + 48
=10(12) + 48
=120 + 48
=168° larger angle
CHECK:
12° + 168°= 180°
180°= 180°
ANSWER: The smaller angle is 12° and the larger angle is 168°.
Hope this helps! :)
If 61 is less than 8 times the number then the number is 8.
Given 61 is 3 less than 8 times the number.
Let the number be 'x'.
The term "polynomial" in mathematics refers to a mathematical statement that consists of two or more algebraic terms that are added, subtracted, or multiplied (no division!). Constants and positive exponents are frequently used, together with at least one variable, in polynomial formulas.
we can write the equation as:
8x ₋₋ 3 = 61
arranging the like terms i.e constants.
8x = 61 ₊ 3
8x = 64
to find the value of x, divide 64 by 8.
x = 64 ÷ 8
x = 8
hence the number we get after solving the equation is 8.
Learn more about Polynomials here:
brainly.com/question/1487158
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<em>- 8n + 9</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>A - B = ( -3n + 2 ) - (5n - 7)</em>
<em>= - 3n + 2 - 5n + 7</em>
<em>= - 8n + 9</em>
<em>Good luck !</em>
