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Varvara68 [4.7K]
4 years ago
10

Three complementary angles are in the ratio 1:2:3 what is the measurement of the smallest angle

Mathematics
1 answer:
Llana [10]4 years ago
3 0

Answer: 30

Step-by-step explanation:

Let x stand for the measure of angle 1. Then. 2x for angle 2 and finally 3 x for angle 3.

So, x + 2x + 3x = 180

and 6x = 180

Therefore, x = 30, 2x = 60 and 3x = 90.

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The bus fare in a city is 1.75 . People who use the bus have the option of purchasing a monthly coupon book for . With the coupo
lorasvet [3.4K]

Answer:

26 times

Step-by-step explanation:

Given

Without Coupon

Rate = 1.75 per trip

With Coupon

Coupon = 26

Rate = 0.75 per trip

Required

The number of trips to be taken for both option (i.e. with or without coupon) to be equal

<em>See comment for complete question</em>

Let the number of trips in a month be x.

<u>Without Coupon</u>

Total amount is:

Total = Rate * x

Total = 1.75x

<u>Without Coupon</u>

Total amount is:

Total = Coupon + Rate * x

Total = 26 + 0.75x

To get x, we simply equate both options

1.75x = 26 + 0.75x

Collect like terms

-0.75x + 1.75x = 26

x = 26

5 0
3 years ago
find the width of a rectangular prism if the volume is 546cm, the height is 7cm and the length is 13cm
Burka [1]

Width=6cm

7*13*x=546

91*x=546

Divide both by 91

x=6

7x13x6=546

5 0
3 years ago
HELPPP PLEASE 30 POINTSS!!! HURRYYY
Gemiola [76]

Answer:

(f \ o \ p)(9) = 4471

Step-by-step explanation:

<h3><em><u>We will assume the black dot between f and p (what we want to find) is a "composition of function".</u></em></h3>

So, it will mean, put the function p into the function f and then evaluate that at the value of s = 9.

So, lets find the composition first:

(f \ o \ p)(s) = 7(s^3-10s)-2\\(f \ o \ p)(s) = 7s^3-70s-2

Now, we put "9" into s and find the value:

(f \ o \ p)(s) = 7s^3-70s-2\\(f \ o \ p)(9) = 7(9)^3-70(9)-2\\(f \ o \ p)(9) = 4471

3 0
3 years ago
If ab = 5 centimeters, bc= 200 centimeters, what is the length of line segment ac
cluponka [151]
If you're trying to find the length of line AC, all you have to do is add the length of AB to the length of BC: 
<span>AC=AB+BC </span>
<span>AC=5cm+√200cm </span>
<span>AC~5cm+14.14cm </span>
<span>AC=19.14cm </span>
3 0
4 years ago
What is 70 inches in feet
Arlecino [84]
5 feet and 10 inches
6 0
3 years ago
Read 2 more answers
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