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telo118 [61]
2 years ago
13

Find the missing terms of the following geometric sequence. Assume all terms are positive. ​(​Hint: The geometric mean of the fi

rst and fifth terms is the third​ term.)
1.5,_,_,_,121.5....
Mathematics
1 answer:
alexandr1967 [171]2 years ago
7 0
1.5,4.6,13.5,40.5,121.5
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Find the measure of an angle whose measure is 18 degrees less than one-half of the measure of its complement.Find the measure of
tekilochka [14]
<span>a = (90-a)/2 - 18 

this means that the angle equals half its complement minus 18 degrees. 

this means the same as the angle equals 18 degrees less than half its complement. 

solve for a. 

equation is: 

a = (90-a)/2 - 18 

simplify by removing parentheses to get: 

a = 90/2 - a/2 - 18 

simplify further to get: 

a = 45 - a/2 - 18 

combine like terms to get: 


a = 27 - a/2 

add a/2 to both sides to get: 

a + a/2 = 27 

multiply both sides of the equation by 2 to get: 

2a + a = 54 

combine like terms to get 

3a = 54 

divide both sides of the equation by 3 to get: 

a = 18 

your answer should be that the angle is equal to 18 degrees. 

if the angle is 18 degrees, then its complement is equal to 90 - 18 = 72 degrees. 

half its complement is equal to half of 72 is equal to 36 degrees 

18 degrees less than that is equal to 36 - 18 is equal to 18 degrees. 

Your answer is that the measure of the angle is 18 degrees.</span>
4 0
3 years ago
What is the length of BC? If your answer is not an integer, leave it in simplest radical form?
nexus9112 [7]
ANSWER

|BC|=12\sqrt{2}\: ft

EXPLANATION

The given right triangle is an isosceles triangle because

m \: < \: B = 45 \degree = m \: < \: C
This implies that,

|AB|=12ft=|AC|

From the Pythagoras Theorem,

|BC|^2=|AB|^2+|AC|^2

|BC|^2= {12}^{2} + {12}^{2}

|BC|^2=2 \times {12}^{2}

|BC| = \sqrt{ {12}^{2} \times 2 }

|BC|=12\sqrt{2}\: ft
7 0
3 years ago
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Help?<br><br> 3. Three times a number is two times the difference of that number and one.
erastovalidia [21]

Answer:

3x = 2(-3x + 1)

Step-by-step explanation:

I think that's it I think it could be wrong but I tried

8 0
2 years ago
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What is the answer to 4|x-1|=12
STatiana [176]

Answer:

(4,0) and (- 2,0): Answer

Step-by-step explanation:

Absolute value questions have two essential steps.

1. Solve the equation as it is written.

2. Solve it changing the sign of the right hand side. I will include a graph to confirm my answer

4*abs(x - 1) = 12             Divide by 4

  • abs(x - 1) = 12/4            
  • abs(x - 1) = 3                  Equate this to 3
  • x - 1 = 3                          Add 1 to both sides
  • x - 1 + 1 = 3 + 1               Combine
  • x = 4

4*abs(x - 1) = - 12         Divide by 4

  • abs(x - 1) = - 12/4
  • abs(x - 1) = - 3
  • x - 1 = - 3                       Add 1 to both sides
  • x - 1 + 1 = -3 + 1
  • x = - 2

So this has 2 answers

(4,0) and (- 2,0)

5 0
2 years ago
Write an algebraic expression for the word phrase 8 times the product of Drag the word to the description it matches. Each word
yawa3891 [41]

Answer:

(8 . x)

Step-by-step explanation:

8 times the product of drag

5 0
2 years ago
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