When an angle is bisected it means that the bisector splits the angle in exactly half. This means that m<ABD and m<CBD are equal. Knowing this you can make an equation of setting them equal to each other so that you can solve for x:

First combine like terms:


Now isolate x by multiplying -2 to both sides
x = 100
Now to find m<ABC add both m<ABD and m<CBD together while plugging 100 in for x:

50 + 17 + 100 - 33
134
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
∫ₑ°° 1 / (x (ln x)¹⁰) dx
∫₁°° x⁻³ dx
Step-by-step explanation:
A p-series 1 / xᵖ converges if p > 1.
∫ₑ°° 1 / (x (ln x)¹⁰) dx
If u = ln x, then du = 1/x dx.
When x = e, u = 1. When x = ∞, u = ∞.
= ∫₁°° 1 / (u¹⁰) du
p = 10, converges
∫₁₀°° x^(-⅔) dx
= ∫₁₀°° 1 / (x^⅔) dx
p = ⅔, diverges
∫₁°° 2 / x^0.5 dx
= 2 ∫₁°° 1 / x^0.5 dx
p = 0.5, diverges
∫₁°° x⁻³ dx
= ∫₁°° 1 / x³ dx
p = 3, converges
∫₂°° 1/(3x) dx
= ⅓ ∫₂°° 1/x dx
p = 1, diverges
Answer:
A
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
y = 1 is the equation of a horizontal line parallel to the x- axis.
Since it is parallel to the x- axis then its slope is zero.
A line perpendicular to it will therefore be a vertical line parallel to the y- axis.
The slope of the perpendicular line is undefined.
The slope of a parallel line is zero
Jeremy's weekend work would follow the equation of the standard line. The equation of the standard line is y=mx+b. b= 0, The slope of the line is equal to m, where m according to the given problem is equal to 35. Every hour of Jeremy weekend would pay $35.
Jeremy's equation
y= 35x
m=35