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yulyashka [42]
3 years ago
5

Need help asap pls :)

Mathematics
2 answers:
azamat3 years ago
8 0

Answer:

<8, <5, <10 are 65 degrese

Step-by-step explanation:

oki, so, 55+m<2 must be 115 because 115 is a corresponding angel to 55+<2 meaning they are =, so m<2=115-55, m<2=60.

m<3 must then = 65 because line a phase a 180 angle (assuming a and b are parallel)

<3 is also corresponding to angle <10 so by the transitive property m<10=65.

m<8 must then = 65 because the angle of line b in 180, and the transversal cuts 115, 180-115=65.

whoops, then finally 5 is vertical from <2 so it is congruent, so <2 must be 65, so all angles are 65 degrees.

pogonyaev3 years ago
7 0

Answer:

See explanation below.

Step-by-step explanation:

First I'm going to find angle 2. Angle two plus 55 is equal to 115. 180-115=65. 65-55=10 Angle 2 = 10

Next, we can find angle 3. 55+10=65. 180-65=115. Angle 3 = 115

Angle 2 is equal to angle 5, angle 3 is equal to angle 6, and angle 4 is equal to 55.

Angle 5 = 10

Angle 4 = 55

Angle 6 = 115

Now we can find angle 8. 180-115=65. Angle 8 = 65

Angle 11 = 65

Angle 12 = 115

10+115=125 Angle 10 = 125

180-125 = 55 Angle 9 = 55

Angle 14 = 55

Angle 13 = 125

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<u>SOLUTION: </u>

Given that, an air-plane travels 4688 kilometers against the wind in 8 hours

And 5808 kilometers with the wind in the same amount of time.  

We have to find the rate of the plane in still air and the rate of wind

Now, let the speed of wind be a kmph and speed of plane be b kmph.

And we know that, \text { distance }=\text { speed } \times \text { time }

\begin{array}{l}{\text { Then, while travelling with wind } \rightarrow 5808=(a+b) \times 8 \rightarrow a+b=726 \rightarrow a=726-b \rightarrow(1)} \\\\ {\text { While travelling against wind } \rightarrow 4688=(a-b) \times 8 \rightarrow a-b=586 \rightarrow(2)}\end{array}

Substituting (1) in (2) we get,

\Rightarrow 726-b-b = 586\Rightarrow -2b=586-726 \Rightarrow -2b=-140

\Rightarrow b=\frac{140}{2} \Rightarrowb=70\Rightarrow (3)

On substituting (3) in (1) we get,

a=726-70=656\Rightarrow a=656

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