Answer:
m∠ABC = 74
Step-by-step explanation:
The sum of the measures of three angles of any triangle is invariably equal to the straight angle, also expressed as 180 °
So you subtract the given measurements of ∠BAC (76°) and ∠ ACB (19°) from 180. 180-76-19 = 74
The measurement of angle ABC is 74°
Answer:
x=18
Step-by-step explanation:
Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.
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Answer:
x=-2, y=-2. (-2, -2).
Step-by-step explanation:
2x-5y=6
-2x+10y=-16
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5y=-10
y=-10/5=-2
2x-5(-2)=6
2x+10=6
2x=6-10
2x=-4
x=-4/2=-2
the second duckling is wandering by 2.6 units distance than the first duckling .
<u>Step-by-step explanation:</u>
Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:
Let a = (12,5) and b =(13,-8)
The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :
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⇒ 
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Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .
any perpendicular bisector of one of the sides".
We can define a line of reflection as the line in which a shape is reflected, or we can say that it is the mirror in which the shape is reflected. The line of reflection is the perpendicular bisector of any pair of corresponding points. If you want to join sets of corresponding points on the object and image, then
Step-by-step explanation: