I got you. The answer would be A (Certificate)
Blocks would he need on the 12th step of the pattern is 34.
The correct option is A
<h3>
</h3><h3>What is series?</h3>
A series is the cumulative sum of a given sequence of terms.
Given:
We can write the series as follows:
1,4,7,10,13,.......
First term =1
common difference= 4-1=3
Using Arithmetic series
= a+11d
= 1 +11*3
= 1+33
= 34.
Hence, 34 blocks need on 12th step.
Learn more about arithmetic series here:
brainly.com/question/2171130
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Answer:
The measure of the complement =
= 80°
The measure of the supplement=
= 170°
Step-by-step explanation:
Let
90-x equal the degree measure of its complement
180-x equal the degree measure of its supplement.
We are told in the question that: the supplement of a given angle is 10 degrees more than twice its complement.
Hence, the Equation is;
(180 - x) = 10° + 2(90 - x)
180 - x = 10 + 180 - 2x
Collect like terms
-x + 2x = 10 + 180 - 180
x = 10°
Hence,
The measure of the complement =
90 - x
= 90 - 10
= 80°
The measure of the supplement=
180 - x
= 180 - 10
= 170°
Answer:
Value of x is 88
Step-by-step explanation:
We have,
Percentage of lentils in the soup = 36% = 0.36
Fraction of the lentils which are green = 
Thus, the amount of green beans in the soup are =
=
= 0.36 × 33.3 = 11.99 ≅ 12.
So, the percentage of the green beans = 12%
The percentage of the original beans in the soup = (100-12)% = 88%
Hence, the value of x is 88.