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pogonyaev
3 years ago
6

Two supplementary angles differ by 34. find the angles..​

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
3 0

Answer:

107°

73°

Step-by-step explanation:

Let the two supplementary angles be x° and y°.

x + y = 180....(1)

Since, supplementary angles differ by 34.

Therefore,

x - y = 34....(2)

Adding equations (1) & (2)

x + y = 180

x - y = 34

_________

2x = 214

x = 214/2

x = 107°

Plug x = 107 in equation (1)

107 + y = 180

y = 180- 107

y = 73°

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Fairview auto repair originally paid its mechanics $20 per hour. Now that there is a new owner, the mechanics make 5% less. How
sattari [20]

Answer:

The new amount paid to mechanics per after by new owner is $ 19 Answer

Step-by-step explanation:

Given as :

The amount paid to mechanics initially = $ 20 per hour

Now, The new owner paid less at the rate = 5%

Let the amount paid to the mechanics after 5 % less = x per hour

So, According to question

The new amount paid to mechanics per hour = initial amount paid per hour × ( 1 - \frac{rate}{100} )

or, The new amount paid to mechanics per hour =  $ 20 × ( 1 - \frac{5}{100} )

I.e The new amount paid to mechanics per hour =  $ 20 × 0.95

∴ The new amount paid to mechanics per hour =  $ 19

Hence The new amount paid to mechanics per after by new owner is $ 19 Answer

7 0
3 years ago
Which coordinate plane shows the graph of the function y = ?
Brilliant_brown [7]
Y=1/2 x so graph B i think.
5 0
3 years ago
Read 2 more answers
It cost $36.75 for three tickets to visit the science center. It cost $51 for 4 tickets to visit the zoo. Which attraction will
Ber [7]
Find the cost for one ticket for the science center.
36.75 ÷ 3 = 12.25
Multiply the product with 12 to get the cost of 12 tickets.
12.25 × 12 = 147
Find the cost of 1 zoo ticket.
51 ÷ 4 = 12.75
Find the cost of 12 tickets by multiplying the product and 12
12.75 × 12 = $153
12 Science Center Tickets cost $147
12 zoo tickets cost $153

The Zoo costs more than the Science Center.

To find out how much more the Zoo costed, subtract 147 from 153.
153 - 147 = 6
The zoo only costs $6 more for 12 students.
So, you're answers are Zoo and $6
8 0
3 years ago
Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.
vekshin1

Answer:

(a) l = -w + 21

(b) Domain: 0 <em>(See attachment for graph)</em>

(c) f(w) = -w + 21

Step-by-step explanation:

Given

2(l + w) = 42

l = length

w = width

Solving (a): A function; l in terms of w

All we need to do is make l the subject in 2(l + w) = 42

Divide through by 2

l + w = 21

Subtract w from both sides

l + w - w = 21 - w

l  = 21 - w

Reorder

l = -w + 21

Solving (b): The graph

In (a), we have:

l = -w + 21

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be 0

--------------------------------------------------------------------------------------------------

To check this

When w = 1

l = -1 + 21

l = 20

(w,l) = (1,20)

When w = 20

l = -20 + 21

l = 1

(w,l)= (20,1)

--------------------------------------------------------------------------------------------------

<em>See attachment for graph</em>

<em></em>

Solving (c): Write l as a function f(w)

In (a), we have:

l = -w + 21

Writing l as a function, we have:

l = f(w)

Substitute f(w) for l in l = -w + 21

l = -w + 21 becomes

f(w) = -w + 21

5 0
3 years ago
Simplify 4^2 * 4^8= A.)4^16 B.)4^10 C.)16^16 D.)16^10 please help me i need this asap.
SVEN [57.7K]

Answer:

4^{10}

Step-by-step explanation:

Complete the exponents first.

4*4=16

4*4*4*4*4*4*4*4=65536

65536 *16= 1048576

The answer is 4^{10}

You can also find this if you add the exponents.

6 0
3 years ago
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