Answer:
Step-by-step explanation:
Sum of angle in a triangle = 180°
<A+<B+<C = 180
Given <B = 50°
Substituting into the formula
<A+50+<C = 180
<A+<C = 180-50
<A+<C = 130°
Since the ∆ABC is an acute triangle, the angles <A and <C must be angles less than 90° since acute angles are angles less than 90°
The possible values of <A and <C that will be acute and give a sum of 130° are;
∠A= 58° and ∠C= 72°
∠A= 80° and ∠C= 50°
∠A= 60° and ∠C= 70°
You can see that all the Angles are less than 90° and their sum is 130°
Answer:
104 cm^3
Step-by-step explanation:
2(1/2(6*4))+2(1/2(4*10)+(4*10)
2(1/2(24)+(2(1/2(40)+(40)
2(12)+2(20)+40
24+40+40
104 CM^3
787-10=777
777/3=259
259 multiples of 3
9514 1404 393
Answer:
Step-by-step explanation:
If we let x and y represent the costs of a lamp and end table, respectively, the two purchases can be written as ...
3x +2y = 520
2x -y = 20
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These equations can be solved many ways. If we use "elimination", we can add twice the second equation to the first to eliminate y:
(3x +2y) +2(2x -y) = (520) +2(20)
7x = 560 . . . . simplify
x = 80 . . . . . . divide by 7
y = 2x -20 = 2(80) -20 = 140
The cost of a lamp is $80; the cost of an end table is $140.
