Ineed on number 42 specifically. id appreciate it ! : )

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

  33 inches per year

Step-by-step explanation:

In half a year, the sunflower grew 37 -20 1/2 = 16 1/2 inches. Your proportion is ...

  (16 1/2 inches)/(1/2 year) = g/(1 year) . . . . . . . where g is the yearly growth

Multiplying by 1 year and simplifying, you can find g to be

  g = (33/2 inches)/(1/2) = 33 inches

That is, the growth rate is 33 inches per year.

Comment on the solution technique

I personally find a proportion to be unnecessary. When you want to find the rate of x per y, divide the amount of x you are given by the amount of y you are given.

Here, you are given a growth of 16 1/2 inches in 1/2 year, so you simply perform the division (16 1/2 inches)/(1/2 year) = 33 inches/year.