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sp2606 [1]
3 years ago
8

A certain triangle, one angle measures ten degrees more than the second angle and ten degrees less than the third angle. What is

the measure of the smallest angle?
Mathematics
1 answer:
zheka24 [161]3 years ago
6 0

Answer:

50°

Step-by-step explanation:

Let :

Let the angle = x

Second angle = x + 10

Third angle = x - 10

Sum of angles in a triangle = 180

x + (x + 10) + (x - 10) = 180

x + x + 10 + x - 10 = 180

3x = 180

x = 180 / 3

x = 60

Smallest angle :

x - 10 = 60 - 10 = 50°

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Answer:

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(b) The distance AB is 139.43 m

Step-by-step explanation:

The given parameters are

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cos∠ATC = CT/AT

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Therefore, we have;

cos(40°) = CT/AT.................................(1)

cos(56°) = CT/BT = CT/(AT + 29).....(2)

cos(56°) = CT/(AT + 29)......................(3)

From equation (1)

CT = AT×cos(40°)

From equation (3)

AT×cos(56°) + 29 × cos(56°) = CT

Therefore;

AT×cos(40°) = AT×cos(56°) + 29 × cos(56°)

AT×cos(40°) - AT×cos(56°) =  29 × cos(56°)

AT×(cos(40°) - cos(56°)) =  29 × cos(56°)

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The height of the building = 60.06 m

(b) BT = AT + 29 = 78.4 m + 29 m= 107.4 m

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The distance AB =  139.43 m.

6 0
3 years ago
the vertices of parallelogram abcd are A(4,0,3), B(3,4,-2),C(-2,0,1). find the coodrdinates of fourth vertices
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Given :

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Let, point of intersection of daigonal is O.

Coordinates of O are :

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