If you want to remember the trig formulas, I suggest the “SOHCAHTOA” or the “Some old hippie caught another hippie tripping on acid method.” It combines all three principle formulas together. So, SOH means sine equals opposite over hypotenuse, and CAH means cosine equals adjacent over hypotenuse, and TOA means tangent equals opposite over adjacent.
Cosine equals adjacent/hypotenuse.
Because the triangles are congruent,
all their corresponding sides are equal,
so 2x-9=x+5, x=14
first side : x+5=14+5=19
second side: 15
third side: 8
P = 19+8+15= 42 Answer is D
The mode is 15 because 15 appears most often in this data set.
Answer:N=6
Step-by-step explanation:Hope this helps:)
Answer:
C and D are unchanged, but E increases.
Step-by-step explanation:
Given equation of circle
x^2+y^2+Cx+Dy+E=0
But we know that general equation of circle is with center at (h,k)
x^2 + y^2 -2hx -2ky + (h^2 + k^2 – r^2) = 0
Comparing both equations we get,
C = -2hx
D = -2ky
As in the given question we are not changing the coordinates of center so C and D will remain unchanged.
It also gives us
E = (h^2 + k^2 – r^2)
Decreasing r means that a lesser quantity will be subtracted from h^2 + k^2 which will increase the value of E.
