Answer:
We get value p=16
Step-by-step explanation:
When triangles are similar, the ratio of corresponding sides is equal.
In the given triangles we have to find value of p
We have the ratio: (Can use ratio of any two sides)

Now, putting values and finding p

So, we get value p=16
Answer:
EFG = 50.6, LMN = 129.4
Step-by-step explanation:
ok so s supplementary angles mean, their angles will always add upto 180. for example if one angle is 100° then the other will be 80°.
to find the angles first we need to solve for x.
we know EFG + LMN = 180 because its supplementary.
that's is (3x+17) + (12x-5) = 180.
we now solve for x;
15x+12 = 180
15x = 168, x= 168/15 = 11.2
now that we know x we can put this value in the corresponding equation of EFG and LMN to find the angles.
EFG = 3x11.2 + 17 = 50.6
LMN = 12x11.2 - 5 = 129.4
We must graph y=x^3-9x^2+11x+21. Please, see the attached file.
Then we see were the graph cuts the x-axis, and these values of x are the real solutions of the given equation:
The real solutions of the given equation are:x = -1, 3, and 7
Answer:
6 months
Step-by-step explanation:
The mileage is the independent variable. You can control it. The gasoline remaining DEPENDS ON the number of miles different. That's why it's called the dependent variable. It's change depends on the change in the independent variable