Answer:
∠ EBF = 98°
Step-by-step explanation:
(3x - 15) and (2x + 10) are vertically opposite angles and are congruent, then
3x - 15 = 2x + 10 ( subtract 2x from both sides )
x - 15 = 10 ( add 15 to both sides )
x = 25
3x - 15 = 3(25) - 15 = 75 - 15 = 60°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBF is an exterior angle of the triangle , then
∠ EBF = 60° + 38° = 98°
A-b=21
5a-2b=18
We can use substitution here. Take the first equation and solve for A. (Picking this one because it's easy)
a = 21+b
Plugin to the second equation:5(21+b)-2b=18
Simplify: 105 + 5b - 2b = 18
Simplify: 105 + 3b = 18
Subtract both sides: 3b = 18-105
Simplify: 3b = -87
Divide: b = -29
Plug back into the first: a=21+b
a = 21 - 29
a = -8
Option D
Answer:
The Temperature on Thursday morning will be -13° Fahrenheit.
Step-by-step explanation:
Given:
Temperature on Wednesday evening = -5 Fahrenheit
Temperature decreased Throughout the night = 8 degrees
We need to find the Temperature on Thursday morning.
Now we know that;
The temperature decreased means the temperature went more below the current temperature.
So To calculate Temperature on Thursday morning we will Subtract the temperature which got decreased by the temperature noted on Wednesday evening.
framing in equation form we get;
Temperature on Thursday morning = 
Hence The Temperature on Thursday morning will be -13° Fahrenheit.
Answer:
206.25$
Step-by-step explanation:
To find the amount of money he got, you would use this formula: l = prt
interest = principle ( 16500 ) * interest rate ( 1.25% ) * time ( 1 )
that equals 206.25$, and that is what she would earn in 1 year
