Step-by-step explanation:
Given :
Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles
To find : by which property are angles 4 and 5 congruent
Solution :
We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.
Answer:
30.9°
Step-by-step explanation:
Right Angle Triangle = 90°
59.1 + ? = 90
90 - 59.1 = 30.9
The correct answer is B, sorry if it wasn't correct.
The measure of angle A in the isosceles triangle ABC is equal to 120 degrees.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
In the triangle ABC, AB = BC = 8. Triangle ABC is an isosceles triangle and ∠B = ∠C = 30° (base angles are equal).
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
∠A + 30 + 30 = 180
∠A = 120°
The measure of angle A in the isosceles triangle ABC is equal to 120 degrees.
Find out more on equation at: brainly.com/question/2972832
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Answer:
Step-by-step explanation:
The graph of this function is that of a parabola that opens down (due to the negative coefficient of t^2). The axis of symmetry is
-b -100
x = --------- = ----------- = 50/16 = 25/8.
2a 2(-16)
The y value of the vertex is h(25/8) = -16(25/8)^2 + 100(25/8) + 10, or 166/25.
The largest value this function can take on is 166/25. Thus, the range is
(-infinity, 166/25).
Since the given function is a polynomial, the domain consists of all real numbers.
