Answer:
The correct answer is x = 17.
Step-by-step explanation:
If EF bisects DEG, this means that angles DEF and angles FEG are congruent, and they each make up half of angle DEG.
Therefore, we can set up the equation:
DEF + FEG = DEG
However, since we know that DEF and FEG represent the same value, we can change this equation into the following:
2(DEF) = DEG
Now, we can substitute in the expressions that we are given:
2(3x+1) = 5x + 19
To simplify, we should first use the distributive property on the left side of the equation.
6x + 2 = 5x + 19
Our next step is to subtract 5x from both sides of the equation.
x + 2 = 19
Finally, we can subtract 2 from both sides of the equation to get x by itself on the left side.
x = 17
Therefore, the value of x is 17.
Hope this helps!
Answer:
(5,15)
Step-by-step explanation:
We know that 225 = 15a + 10c, and he purchased a total of 20 tickets, so
a + c = 20, using this, we know that c = 20 - a, we can substitute this for c in 225 = 15a + 10c to get:
225 = 15a + 10(20 - a) =
225 = 15a + 200 - 10a
225 = 5a + 200
25 = 5a
a = 5
Now we substitute 5 for a:
225 = 15a + 10c
225 = 15(5) + 10c
225 = 75 + 10c
150 = 10c
c = 15
so a = 5 and c = 15, the solution is (5,15)
P.S. I'm the guy who did your other question
Answer:
Post the questions and I'll do my best to help
Step-by-step explanation:
The derivative of 
is 
.
In this exercise we must apply the definition of derivative, which is described below:
(1)
If we know that , then the derivative of the expression is:
The derivative of is .
We kindly invite to check this question on derivatives: brainly.com/question/23847661
Lets calculate derivative of
That is:
Comparing that with offered answer we can see that results match.
