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posledela
3 years ago
10

Find the value for x and y for the triangle. Show work.

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Step-by-step explanation:

done

.......................

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In pentagon $MATHS$, $\angle M \cong \angle T \cong \angle H$ and $\angle A$ is supplementary to $\angle S$. How many degrees ar
gavmur [86]

Answer:

H = 120°

Step-by-step explanation:

The sum of the internal angles of a polygon with n sides is given by the formula:

S = (n-2)*180

So, for a pentagon, we have n = 5, then:

S = (5-2)*180 = 540°

So we have that:

M + A + T + H + S = 540° (eq1)

M = T = H (eq2)

A + S = 180° (eq3)

Using the second and third equation in the first one, we have:

H + H + H + 180 = 540

3H = 360

H = 120°

3 0
4 years ago
A plane travels at a speed of 205mph in still air. Flying with a tailwind, the plane is clocked over a distance of 975 miles. Fl
irakobra [83]

Answer:

T1 = 975 / (205 + V)         flying with wind

T2 = 975 / (205 - V)         flying against wind

T2 = T1 + 2

975 * {1 / (205 - V) - 1 / (205 + V)] = 2

(205 + V + V -205) / (205^2 - V^2) = 2 / 975

V^2 + 975 V - 42025 = 0          rearranging

V = 41.3

Values of flying are  246.3 and 163.7

Check:  

T1 = 975 / 246.3 = 3.96 hrs

T2 = 975 / 163.7 = 5.96 hrs

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3 years ago
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