Let x be the unknown angle.
We know that x+50=120 because the value of an exterior angle of a triangle is equal to the sum of the other 2 interior angles.
x+50 = 120
Subtract both sides by 50
x = 70
The value of the unknown angle is 70 degrees.
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Answer:
B.
• x+2y=-6
• x-2y=-6
Step-by-step explanation:
Try the solution in the equations and choose the set of equations that is true.
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A. -6+0 ≠ 0 . . . not this system
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B. -6 +2·0 = -6 . . . true
-6 -2·0 = -6 . . . true . . . . . this system has solution (-6, 0)
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C. -6 -6·0 ≠ 1 . . . not this system
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D. 4(-6)+3·0 ≠ -18 . . . not this system
Answer:
24 units
Step-by-step explanation:
A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?
triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees
15.5 units
24 units
30 units
37.5 units
From the description:
angle D measures a degrees
opposite to angle D is side EF
side DE (which measures 30 units) is the hypotenuse of the triangle.
We also know that
From definition:
Replacing:
Answer:
n + (n + 6) = 24.
Step-by-step explanation:
Let him have n blue marbles, then he has n + 6 other narbles.
He has a total of 24 marbles, so:
n + (n + 6) = 24.
Answer:
f(1) = 2
f(n) = 2 × f(n - 1) , n ≥ 2
Step-by-step explanation:
the point of coordinates (1 , 2) is on the graph
Then
f(1) = 2
…………………………
We notice that :
f(2) = 4
f(3) = 8
f(4) = 16
16/8 = 8/4 = 4/2 = 2/1 = 2
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This means the common ratio
of the geo sequence = 2
Hence ,
f(n) = 2 × f(n - 1)
