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mel-nik [20]
3 years ago
6

lila draws a 145° angle.Then ahe divides it into three smaller angels.one of the smaller angles measures 65° ,and the other two

are equal in measure. what is the measure of the other two angles?
Mathematics
1 answer:
morpeh [17]3 years ago
3 0
Each angle is 40 degrees because 145 degrees is split into 3 parts and one of them is 65 degrees so you do 145-65=80 the you have two parts left. so you divide 80 by 2 so each degree is 40 degrees
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Two cities are building bicycle paths. Charles City has built 5km of bicycle paths by the end of the first month, and the total
sergey [27]

Answer:

Month 4

Step-by-step explanation:

To solve this problem we must propose an equation that models the number of kilometers of bicycle trails made monthly in Charles City and in Tinsel Town

<em>For Charles City </em>we know that the number of kilometers built in the first month is 5, and it doubles every month. Then we have an exponential equation, in base 2, whose initial value is 5.

This equation has the following form:

y = C_1 (2^{x-1})

Where:

C_1 is the number of kilometers built in month 1

x is the number of months: {1, 2, 3, 4, 5 ... x}

x = 1 represents month 1.

So:

Charles\ City\ (km) = 5(2^{x-1})

<em>For Tinsel Town</em> we know that the number of kilometers built in the first month is 21 and increases at a fixed rate of 5 kilometers per month. This can be modeled by a linear equation.

Tinsel\ Town\ (km) = 21 + 5(x-1)

Where x is the number of months. x: {1, 2, 3, 4, 5 ...}

We want to know at the end of what month the total length of the cycle lanes in Charles City first exceeds the length in Tinsel Town

Then we equal both equations and clear x.

5 (2^{x-1}) = 21 + 5(x-1)\\\\5 (2^{x-1}) - (21 + 5(x-1)) = 0

Clearing x from this equation is very difficult, so to find x, we iterate until we get the value of x that causes the equation to approach 0.

For x = 3

5(2^{3-1}) - (21 +5(3-1)) = 0\\\\20- 31= -11

For x = 4

5(2^{4-1}) - (21 +5(4-1)) = 0\\\\40 - 36 = 4

<em>The value must be between x = 3 and x = 4</em>

For x = 3.8

5 (2^{3.8-1}) - (21 +5(3.8-1)) = 0\\\\34.82 - 35 = 0.18

Then x ≈ 3.8 months.

Finally we have that By the end of the fourth month the total length of the cycle lanes in Charles City exceeds the length in Tinsel Town

6 0
3 years ago
2 Probability of people that like cheese and can’t ride a bike
Anna007 [38]

Answer:

i think its 60%

Step-by-step explanation:

if its wrong im rlly sorry

mark me as brainliest if its right pls

4 0
3 years ago
Two students share 3/4 of a pound of peanuts. How much of a pound does each person get
Verdich [7]
3/2 is the correct answer
6 0
3 years ago
Read 2 more answers
Is the difference of two positive rational number always positive explain
Dominik [7]
No . . . while the difference represents the absolute magnitude between two numbers . . . for example . . .

<em>The difference between 5 and 2 is . . . 3</em>
<em>The difference between 6.4 and 9.5 is . . . 3.1</em>

 . . . there is still the chance that the difference may be zero . . . in which case the difference is neither positive nor negative

. . . so in short . . . the answer is . . . <u><em>NO</em></u>

5 0
3 years ago
I have no idea how to do these.
Alex

Answer:

1.  {-1 , 0, 1 }

Step-by-step explanation:

The range is the set of the second values in the ordered pairs.

8 0
3 years ago
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