We have been given angle A as 75 degrees and sides a = 2 and b = 3.
Using Sine rule, we can set up:

Upon substituting the given values of angle A, and sides a and b, we get:

Upon solving this equation for B, we get:

Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.
Hence, the triangle is not possible. Therefore, first choice is correct.
Answer:
b = 55
d = 55
Step-by-step explanation:
Part B:
1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.
- This means that b + 25 + 100 = 180
2. (Solving equation above)
Step 1: Simplify both sides of the equation.
Step 2: Subtract 125 from both sides.
Therefore, b = 55.
Part D:
1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.
- This means that 110 = d + 55
2. (Solving)
Step 1: Subtract 55 from both sides.
Therefore, d = 55.
Answer:
77% and as a fraction it would be 77/100
Step-by-step explanation:
0.77 is a decimal that is in the hundredths place so you already know that it'll be 77% right away then for the fraction you would just put it over 100 but since 77 is an uneven number you cannot simplify it otherwise you would.
Answer: Pentagonal Prism
Step-by-step explanation: Pentagonal Prism the last one.
Answer:
1 Regroup terms.
2x²−5=−6x
2 Move all terms to one side.
2x² −5+6x=0
3 Use the Quadratic Formula.
x=
−6+2√19/ 4
−6−2√19 /4
4 Simplify solutions
x=
-3−√19 /2
-3+√19/3
Decimal Form: 0.679449, -3.679449
Step-by-step explanation:
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