The answer is 25 degrees.
This is how you solve the equation, first you must know that the straight like ABC=180, DBC is 130, so the remaining amount is 50 degrees, BE is a bisector of ABD which means it splits ABD right down the middle. So ABE+EBD=50 degrees, 25+25=50 since both sides MUST be equal in order for BE to be a bisector of ABD.
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B. 31°, 43°, 106°
since all angles of a triangle add up to 180°, you combine all of the equations to equal 180 and solve for X. the equation you would get it 3x+1+11x-4+5x-7=180. this simplifies to 19x-10=180. then you solve for x, and it is 10. then, you plug 10 into all of the equations separately to find the angles. therefore, the answer is B
Answer:
This question requires a comparison between two different variables 6% and 16% values. If we let x=$ loaned on 6% loans and y=$ loaned on 16% loans, then we can relate two equations.
0.06x + 0.16y = $1500 --> referencing the interest earned from each percentage loaned.
x + y = $16000 --> referencing the total amount of money loaned out.
Rearrange either equation and substitute for a value in the other equation or use elimination to determine each individual variable.
Step-by-step explanation:
#1 - 2/3
#2 - 1 1/3
#3 - 2/3
#4 - 1 1/2
Answer:
The final amount is 550.93.
Step-by-step explanation:
Here, the given amount is 468.
Now 8% of the given amount is 
⇒ 8% of 468 = 37.44
So, the New amount = Initial Amount + 8% increase
= 468. + 37.44 = 505.44
Now 9 % of the new amount 505.44 is
[tex]\frac{9}{100} \times 505.44 = 45.4896/tex]
⇒ 9% of 505.44 = 45.4896
So, the Final amount = New Amount + 9% increase
= 505.44 + 45.4896 = 550.93
Hence, final amount is 550.93.
