What is the solution to the equation 5 + b = 18? F b= 5 H b= 13 Gb=8 Jb= 23
2 answers:
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Answer:
The explicit formula for the given expression is .
Step-by-step explanation:
The given sequence is
-7, -4, -1, 2, 5
The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.
The first term of the given AP is -7 and the common difference is
The explicit formula for an AP is
Where, a is first term, d is common difference and n is number of terms.
Substitute a=-7 and d=3 in the above equation.
Therefore the explicit formula for the given expression is .
Given:
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.
To find:
The measures of the 2 acute angles of the triangle.
Solution:
Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,
Divide both sides by 3.
The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:
Therefore, the measures of two acute angles are 26° and 64° respectively.