1. in triangle xyz, a is the midpoint of xy, b is the midpoint of yz, and c is the midpoint of xz. also, ay = 7, bz = 8, and xz = 18. what is the perimeter of triangle abc? (show work)

2. what is y? (show work) 2nd picture is the triangle.

Part 1) The perimeter of triangle ABC is 24 units

Part 2)

Step-by-step explanation:

Part 1)

we know that

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

The perimeter of triangle ABC is equal to

Applying the Midpoint Theorem

Find the measure of AB

substitute given value

Find the measure of BC

substitute given value

Find the measure of AC

substitute given value

Find the perimeter  of triangle ABC

Part 2)

step 1

Find the measure of angle z

Remember that the sum of the interior angles in a triangle must be equal to 180 degrees

step 2

Find the measure of angle y

we know that

----> by supplementary angles (form a linear pair)

substitute the value of z

32/80  

91/140

the last one 54 doesn't go into 45. 54/100 ?

step-by-step explanation:

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.