Answer:
-2
Step-by-step explanation:
use the slope formula which is y2-21/x2-x1
these are what i chose my numbers to be
-4=x1
-1= y1
-2= x2
-5= y2
-5-(-1)/-2-(-4) = -2
thats all
Answer:
The height of the flagpole is 46 feet
Step-by-step explanation:
First we find the ratio to connect the variables
Tan(∅) = opposite/adjacent
Plug in the Variables
Tan(39) = x/50
Solve for x
50*tan(39) = x
x = 40.48
Don't forget to include the man's height
40.48 + 6 = 46.48
Answer:
Kite
Step-by-step explanation:
To graph quadrilateral with points:
A(-1,-2)
B(5,1)
C(-3,1)
D(-1,4)
Thus, we graph the the given points and join the corners. The quadrilateral formed has the following features:
Measure of segment AB= Measure of segment BD = 6.708 units
Measure of segment AC= Measure of segment CD = 3.605 units
Thus, adjacent pair of sides of the quadrilateral are congruent.
Major diagonal BC cuts the minor diagonal AD at point E such that:
Measure of segment AE= Measure of segment ED = 3 units
m∠AEB = m∠DEB = 90°
Thus, major diagonal is a perpendicular bisector of the minor diagonal.
The above stated features fulfills the criterion of a kite.
Hence, the given quadrilateral ABCD is a kite.
20-24 ...................
To figure out the cost for 180 packages, you must first calculate how many packages they bought for $72. Since each case holds 12 packages, for $72, the company bought 24 packages (12×2). Then you have to divide 24 into 180 to figure out the cost for those 180 packages and get 7.5. To get the cost of the 180 packages, you must multiply 7.5 (the number of 24 packages that go into 180) by 72 (the cost of one group of 24 packages). You then get 540. The company must pay $540 for the 180 packages.