Answer:
C
Step-by-step explanation:
GP = 1/2 , 1/4 , 1/8 , 1/16
1st) the common ratio is (1/4 : 1/2 ) = 1/2, so r =1/2
2nd) the sum of a GP is:
S= a(1-rⁿ)/(1-r)
S=(1/2).[1-(1/2)⁴]/(1-1/2) = 15/16
The values of x and y are 45 and 8.
<h3>What is a Linear Pair of Angles?</h3>
When two lines meet at a single point, a pair of linear angles is created. If the angles follow the point where the two lines cross, they are considered to be linear. A linear pair's angles add up to 180° in every case.
Given:
Measures of two linear pairs of angles which are of equal measures are 2x and 11y + 2.
As the sum of linear pair of angles is 180°, and if they are of equal measures, each angle must be equal to 90°.
To determine the values of x and y we equate the given angles to 90°.
2x = 90°
⇒ x = 45
And 11y+2 = 90°
⇒ 11y = 90-2 = 88
⇒ y = 8
To know more about linear pairs visit:
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Answer:
y= -6
Step-by-step explanation:
4y=2(y−5)−2
4y = 2y -10 -2
4y = 2y -12
2y = -12
y = -6
Answer: 36 square feet
Step-by-step explanation:
