The greatest angle in the given triangle is 104 degrees.
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What is a triangle?</h3>
- The polygon with 3 sides, three vertices, and three angles is known as a triangle.
- A triangle's overall number of degrees is always 180 degrees.
Given:
- Let, the second angle has a measurement of x degrees.
- The first angle's measurement is 24 degrees greater than the second angle's measurement.
- As a result, the first angle is (24+x) degrees.
- The third angle is four times as large as the second.
- As a result, the third angle has a measure of 4x.
So,
- (24 + x) + x + 4x = 180
- 6x = 124 - 48
- 6x = 156
- x = 156/6
- x = 26
As a result, the second angle has a measurement of 26 degrees.
The first angle's measurement is now 24 degrees greater than the second angle's measurement.
Now,
As a result, the first angle has a measure of 50 degrees.
The third angle is now four times the size of the second angle.
So,
Therefore, the greatest angle in the given triangle is 104 degrees.
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Answer:
2 roots in every case, not all are real.
Step-by-step explanation:
All of these equations are quadratic equations (degree 2). Every quadratic has two roots. They may be identical (looks like 1 root), and they may be complex (zero real roots), but there are always 2 of them.
a) the y-value of the vertex is negative and the parabola opens downward (leading coefficient -5), so there are no real zeros and both roots are complex.
b) each binomial factor contributes a root. Both roots are real.
c) the discriminant is positive, (3²-4·2·1=1), so both roots are real.
Answer:

Step-by-step explanation:

What are the choices here
Answer:
Yes, they are equivalent, and the second question is B
Step-by-step explanation:
If you add x on both sides of equation A, then it comes up to 5x+2=6, which is equivalent to equation B. For the second question, you are just basically adding a variable to each side, so it is B.