Answer:
Step-by-step explanation:
If R, A, and P all share 108 pounds in the ratio of 2 to 3 to 1, then
2x + 3x + 1x = 108 and
6x = 108 so
x = 18.
R holds the ratio of 2x, so he gets 2(18) which is 36;
A holds the ratio of 3x, so he gets 3(18) which is 54;
P holds the ratio of 1x, so he gets 1(18) which is 18.
36 + 54 + 18 better equal 108...and it does!
Answer:
Hence, m∠R=95°.
Step-by-step explanation:
We are given that ΔABC is similar to the ΔRST i.e. ΔABC~ΔRST.
Aslo m∠A=6x+17, m∠B=3x+9, and m∠C=37
We know that sum of all the angles of a triangle is 180°.
⇒ ∠A+∠B+∠C=180
⇒ 6x+17+3x+9+37=180
⇒ 9x+63=180 (As 6x+3x=9x and 17+9+37=63)
⇒ 9x=180-63
⇒9x=117
⇒ x=13. (on dividing both side by 9)
Hence m∠A=6x+17=6×13+17=95°
m∠B=3x+9=3×13+9=48°
m∠C=37°
Also as ΔABC~ΔRST so this implies m∠R=m∠A=95°
Hence, m∠R=95°.
Answer: -5,-1
Step-by-step explanation:
The slope of the line is given by the derivative
m = dy/dx = 4x^3 + 2e^x
using the point slope form of a straight line
y - y1 = m(x - x1) where m is the above and (x1,y1) is the point of contact of the tangent we have
y - y1 = (4x^3 + 2e^x)(x - x1) which is equation of the tangent
The slope is -2 because perpendicular is the resipricole to 1/2
