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Angelina_Jolie [31]
3 years ago
15

Please help I’m super confused!

Mathematics
1 answer:
wolverine [178]3 years ago
7 0

Answer:

The angles are 160 and 20 degrees respectively

Step-by-step explanation:

angles on a line sum to 180 degrees.

This tells us that (5x + 60) + (3x -40) = 180

we can expand brackets to give 8x + 20 = 180

8x = 160

x = 20 degrees

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The cost of having a package delivered has a base fee of $9.70. Every pound over 5 lbs cost an additional $0.46 per pound. Write
sergejj [24]

<u>Answer:</u>

Option(d)

C = 0.46(w - 5) + 9.7

<u>Explanation:</u>

We are given that the delivery cost of any package has a fixed value of 9.7$ and an additional value for every 5 lbs extra weight and the additional value is given to be 0.46.

The equation for total cost C for given total weight w can be written by

sum of fixed value and every 5 extra lbs

which can be represented by the equation

C= 0.46(w-5) + 97.

Hence,  this represents a linear model for the given data.

3 0
2 years ago
Mr. Akika has 33 18 cent and 32 cent stamps all told. The stamps are worth $9.02. How many of each kind of stamp does he have? M
r-ruslan [8.4K]

Answer:

Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.

Step-by-step explanation:

Given that Mr. Akika has 33 18 cent and 32 cent stamps all told, and the stamps are worth $ 9.02, to determine how many of each kind of stamp does he have the following calculation must be performed:

10 x 0.18 + 23 x 0.32 = 9.16

11 x 0.18 + 22 x 0.32 = 9.02

Therefore, Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.

4 0
2 years ago
There is an animal farm where chickens and cows live. All together, there are 84 heads and 210 legs. How many chickens and cows
Ira Lisetskai [31]

1 Chicken have = 2 legs

1 Cow have = 4 legs

No of cows = x

No of chickens = y

Total no of legs = 4x + 2y = 210.............(1)

Total No of heads = x + y = 84................(2)

x = 84 - y....( from (2) )

Substituting the above equation in (1)

4 ( 84 - y) + 2y = 210

336 - 4y + 2y = 210

336 - 2y = 210

-2y = -126

= y = 63

No of cows = 84-63 = 21

∴ <u><em>Total no of cows = 21</em></u>

<u><em>Total no of chickens = 63</em></u>

5 0
2 years ago
X = <br><br> y = <br><br> m ∠ H = <br><br> m ∠ G =
Lorico [155]

Answer:

x=53

y=26

H=106

G=93

Step-by-step explanation:

By the inscribed quadrilateral conjecture:

2x+(x+21)=180\\(3y+9)+(4y-11)=180\\3x+21=180\\3x=159\\x=53\\7y-2=180\\7y=182\\y=26\\H=2(53)=106\\G=(4(26)-11)=104-11=93

Hope this helps!

4 0
3 years ago
The reciprocal of 6 4/5 is
kondor19780726 [428]
It should be 34/5*. If you create an improper fraction out of the original one, then creating the reciprocal will be easier.
3 0
3 years ago
Read 2 more answers
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