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Answer:
∠CAB = 28°
∠DAC = 64°
Step-by-step explanation:
What you do in each case is make use of the relationships you know about angles in a triangle and around parallel lines. You can also use the relationships you know about diagonals in a rectangle, and the triangles they create.
<u>Left</u>
Take advantage of the fact that ∆AEB is isosceles, so the angles at A and B in that triangle are the same. If we call that angle measure x, then we have the sum of angles in that triangle is ...
x + x + ∠AEB = 180°
2x = 180° -124° = 56°
x = 28°
The measure of angle CAB is 28°.
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<u>Right</u>
Sides AD and BC are parallel, so diagonal AC can be considered a transversal. The two angles we're concerned with are alternate interior angles, so are congruent.
∠BCA = ∠DAC = 64°
The measure of angle DAC is 64°.
(Another way to look at this is that triangles BCE and DAE are congruent isosceles triangles, so corresponding angles are congruent.)
Three colors * 8 possible sizes = 24 different shoes
The probability that the shoe is going to be a size 9 black shoe is 1/24.
Answer:
B) Scalene Triangle
Step-by-step explanation:
This must be a scalene triangle because:
If it were a right triangle, there would be a right angle so A is out
If it were an equilateral triangle, all 3 angles would be equal to each other so C is out
If it were an isosceles triangle, 2 angles would be equal to each other so D is out
A scalene triangle consists of angles that add up to 180 degrees, but none of them are equal to each other. Therefore B is right.
Answer: D
Explanation: For this problem you can substitute f(x) and x for 21 and -6 respectively.
Thus, we have 21=-3(-6)+4
