Answer:
m=-23/10
Step-by-step explanation:
-2 67/90=-247/90
m-4/9=-247/90
m=-247/90+4/9
m=-247/90+40/90
m=-207/90
m=-23/10
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Step-by-step explanation:
Draw diagonal AC
The triangle ABC has sides 17 and 25
Say AB is 17, BC is 25
Draw altitude on side BC from A , say h
h = 17 sin B
Area = 25*17 sin B = 408
sin B = 24/25
In ∆ ABC
Cos B = +- 7/25
= 625 + 289 — b^2 / 2*25*17
b^2 = 914 — 14*17 = 676
b = 26
h = 17*24/25 = 408/25 = 16.32
Draw the second diagonal BD
In ∆ BCD, draw altitude from D, say DE =h
BD^2 = h^2 + {(25 + sqrt (289 -h^2) }^2
BD^2 = 16.32^2 + (25 + 4.76)^2
= 885.6576 + 266.3424
BD = √ 1152 = 33.94 m
Answer:
Step-by-step explanation:
∠ACB and ∠ECD are vertical angles, so ∠ACB = ∠ECD.
∠D = ∠B
∠A = ∠E
△ABC and △EDC are similar because they have the same angles.