You had the right idea using the Pythagorean theorem to solve for b.
Problem is for that triangle to work, the 5 and the 2√2 would have to switch places. The length of a leg cannot be larger than the length of the hypotenuse for it to truly be a right triangle.
Pythagorean theorem only works for the right triangles. Only way to "solve this problem would be to bring in complex numbers.
5² + b² = (2√2)²
25 + b² = 2²(√2)²
25 + b² = 4(2)
25 + b² = 8
b² = 8 - 25
b² = - 17
b = √-17
b= (√17i)
Then the problem with THIS is a measurement/distance cannot be negative... which goes against exactly what that complex number i is.
SOH CAH TOA
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Sin D = 13 sqrt3/26 = 0.76
Sin E = 13/26 = 0.47
Cos D = 13/26 = 0.87
Cos E = 13 sqrt3/26 = 0.64
Answer:
65 degrees
Step-by-step explanation:
<u>Step 1: Find what the measure of JLK is</u>
JLM + JLK = 180
140 + JLK - 140 = 180 - 140
JLK = 40
<u>Step 2: Find what the measure of KJL is</u>
KJL + JLK + JKL = 180
KJL + 40 + 75 = 180
KJL + 115 - 115 = 180 - 115
KJL = 65
Answer: 65 degrees
Answer:
y=2(x+3)-3
y=2(x+3)-3
x=10
y=10
Step-by-step explanation:
Begin by subtracting 2b from both sides. This will give us
-ax > -2b +8
Then we will divide by -a. This division by a negative number changes the direction of the inequality sign. When we divide by -a:
