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inessss [21]
3 years ago
15

Please help and thank you

Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0

Answers: Angle A is 36 degrees, angle C is 54 degrees

=================================================================

Work Shown:

The angles A and C are complementary, meaning they add to 90 degrees.

(Angle A) + (Angle C) = 90

(2x-4) + (2x+14) = 90

(2x+2x)+(-4+14) = 90

4x+10 = 90

4x+10-10 = 90-10 .... subtract 10 from both sides

4x = 80

4x/4 = 80/4 ..... divide both sides by 4

x = 20

If x = 20, then,

angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees

angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees

Note how A+C = 36+54 = 90 which helps confirm our answers.

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A sculptor is selling her work at an exhibit and hopes to earn at least $31,000 in revenue. Small pieces go for $780 and large p
Sauron [17]

The answer should be

780x + 1500y=31000

please correct me if i'm wrong

3 0
3 years ago
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If x+1/x=7,find x^2+1/x^2​
trapecia [35]

Answer:

x²+1/x² = 51

Explanation:

Given x - 1/x = 7 ---(1)

We know the algebraic identity:

a²+b²-2ab = (a-b)²

Or

a²+b² = (a-b)²+2ab

Now,

x²+1/x²

= (x-1/x)²+2*x*(1/x)

= (x-1/x)²+2

:7²+2 [ from (1)] =

= 49+2

= 51

Therefore,

x²+1/x² = 51

3 0
3 years ago
A box of 6 eggs costs £1.80. Work out how much a<br> box of 10 eggs would cost.
telo118 [61]

Answer:

18

Step-by-step explanation:

1.80 x 10 = 18.0

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5 0
3 years ago
Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours
uysha [10]

Answer:

\$(990-t)

Step-by-step explanation:

The correct question is

Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours at her two jobs. Let t be the number of hours Susan worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month

Let

t -----> the number of hours that Susan work as a tutor

y ----> the number of hours that Susan work as a waitress

z ---> the combined total dollar amount she earned this month

we know that

t+y=90

y=90-t-----> equation A

we know that

The combined total dollar amount she earned this month is equal to the number of hours that Susan work as a tutor multiplied by $10 plus the number of hours that Susan work as a waitress multiplied by $11

z=10t+11y ----> equation B

substitute equation A in equation B

z=10t+11(90-t)

z=10t+990-11t

z=990-t

therefore

The expression for the combined total dollar amount is $(990-t)

3 0
3 years ago
In65 - lnX = 39<br> What does X=?
Hunter-Best [27]

Answer:

<h2>The answer is 7.47</h2>

Step-by-step explanation:

In this problem we are going find the natural logarithmic of the numbers involved and solve for x

ln65-Ln x= 39\\

from tables

<h3> ln 65= 4.17</h3>

4.17-ln x= 39\4.17-39= lnx\\-34.83=lnx\\

taking the exponents of both sides we have

e^-^3^4^.^8^3= x\\x= 7.47

3 0
3 years ago
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