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Molodets [167]
3 years ago
5

How do you this? Whoever shows full work, I’ll mark brainlist

Mathematics
1 answer:
Gennadij [26K]3 years ago
4 0

Answer:

hese angles are supplementary, and x=19 degrees

These two angles are a linear pair, meaning that they are supplementary.

This means that their angles measures must add up to 180 degrees.

65+6x+1=180

6x=114

x=19

Hope this helps!

Step-by-step explanation:

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Determine three numbers a , b , c
natta225 [31]

Since a,b,c are in geometric progression, if r is the common ratio between consecutive terms, then

a=a

b = ar

c=ar^2

Since a,b,c are also in arithmetic progression, if d is the common difference between consecutive terms, then

a = a

b = a + d \implies d = b-a

c = b + d = a + 2d \implies c = a + 2(b-a) = 2b-a

Given that abc=27, we have

abc = a\cdot ar\cdot ar^2 = (ar)^3 = 27 \implies ar = 3 \implies a = \dfrac3r

b = \dfrac3r \cdot r = 3

c = \dfrac3r \cdot r^2 = 3r

It follows that

c = 2b-a \iff 3r = 6 - \dfrac3r

Solve for r.

3r - 6 + \dfrac3r = 0

3r^2 - 6r + 3 = 0

r^2 - 2r + 1 = 0

(r-1)^2 = 0

\implies r=1 \implies a=b=c=3

so the only possible sequence is {3, 3, 3, …}.

7 0
2 years ago
Evaluate √81/√9<br> help lolll
just olya [345]

Answer:

27

Step-by-step explanation:

\sqrt{81}=9\\\sqrt{9}=3\\therefore 9x3=27

4 0
3 years ago
Read 2 more answers
What is the exact circumference of a circle with a diameter of 5 inches
Sergeu [11.5K]
C = 2 × pi × r
C= 2 × pi × 2.5
Your answer is
C = 5 × pi
8 0
3 years ago
You are selling candy and wrapping paper for the band's Christmas fundraiser. The candy sells for 8 dollars per box and the wrap
Ludmilka [50]

Answer:

The number of boxes of candy sold is 4

The number of rolls of wrapping paper sold is 10

Step-by-step explanation:

Let x = number of boxes of candy that was sold.

Let y = number of rolls of wrapping paper was sold.

The candy sells for 8 dollars per box and the wrapping paper sells for 6 dollars per roll. This means that x boxes of candy and y rolls of wrapping paper will be sold for

$(8x + 6y)

If you have sold 14 items, and collected 92 dollars, this means that

x + y = 14

8x + 6y = 92 - - - - - - -1

Substituting x = 14 - y into equation 1, it becomes

8(14-y) + 6y = 92

112 - 8y + 6y = 92

- 8y + 6y = 92 - 112

-2y = -20

y = 20/2 = 10

x = 14 - y

x = 14 - 10

x = 4

The number of boxes of candy sold is 4.

The number of rolls of wrapping paper sold is 10.

7 0
3 years ago
The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the golf balls it manufactures. G
Mashutka [201]

Discrepancy is the difference of a the value from the uniform distribution. The function for the given situation can be given as,

f(x)=|x|-42.67

Hence the option 2 is the correct option.

Given information-

The standard diameter of the golf ball is 42.67 mm.

The discrepancy in the diameter is 0.004 mm.

<h3>What is discrepancy?</h3>

Discrepancy is the difference of a the value from the uniform distribution.

Suppose the discrepancy is x mm.

If the discrepancy in diameter is more than 0. 004 mm, the production is stopped.

As the discrepancy of 0.004 mm or more is stopped the production, we have to subtract the diameter to the discrepancy .

Thus the function for the situation can be given as,

f(x)=-42.67+|x|

Rearrange for the x,

f(x)=|x|-42.67

Thus the function for the given situation can be given as,f(x)=|x|-42.67

Hence the option 2 is the correct option.

Learn more about the discrepancy here;

brainly.com/question/6445203

5 0
3 years ago
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