Let s represent the measure of the second angle.
The measure of the first angle is 15° less than the second, so we can represent the first angle by (s-15).
The measure of the third angle is 45° more than half the second, so we can represent the third angle by (45+(s/2)).
The sum of these angles is 180°, so we can represent the sum as
... (s-15) + s + (45+s/2) = 180
Collecting terms, we have
... 2.5s +30 = 180
... 2.5s = 150 . . . . . . subtract 30
... s = 150/2.5 = 60 . . . . divide by the coefficient of s
The first angle is 60-15 = 45.
The second angle is 60.
The third angle is 45+60/2 = 75.
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<u>Check</u>
The sum of the three angles is 45 +60 +75 = 180.
To determine the degree of the product of the given trinomials, you would multiply the term with the highest degree of each trinomial together. Both trinomials are degree 2, and when you multiply x2<span> by </span>x2<span>, you add the exponents to get </span>x4<span>. Thus, the degree of the product is 4. If the product is degree 4, and there is only one variable, the maximum number of terms is 5. There can be an </span>x4<span> term, an </span>x3<span> term, an </span> x2<span> term, an </span>x<span> term, and a constant term. </span>
88%, 44/50 is just 88/100. So 88% out of 100 of the coins are quarters.
Answer:
Two consecutive numbers are numbers that come after each other:x , x + 1 are consecutive numbers.3 \sqrt{3} = 3√3 = 5.19615242271Therefore, from the above calculation, we can see that square root of 3 is a number that is between consecutive numbers 5 and 6
Step-by-step explanation:
Answer:
B) 5000x^2
Step-by-step explanation:
The exponent of x starts at 5 in the first term and decreases by 1 as the term numbers increase by 1. Hence, the 4th term will have 2 as the exponent of x. (It will have 5-2=3 as the exponent of 5.)
Pascal's triangle tells you the coefficients of the 6 terms in the expansion will be 1, 5, 10, 10, 5, 1, so the 4th term has a coefficient of 10.
The 4th term will be ...
10(2x)^2(5)^3 = 10·4·125·x^2 = 5000x^2
