The complete question in the attached figure
Let
Z---------------- > number of zacks stamps collections <span>for a stamp show
</span>T---------------- > number of teri's stamps collections <span>for a stamp show
</span>P--------------- > number of pacos stamps collections for a stamp show
we know that
Z=(3/10)*30-----------> Z=9
T=(5/6)*18------------ > T=15
P=(3/8)*24------------->P=9
the answer is
number of zacks stamps collections for a stamp show was 9
number of teri's stamps collections for a stamp show was 15
number of pacos stamps collections <span>for a stamp show </span>was 9
In their display were 33 stamps
If you draw out lmno as a parallelogram, then lo is always going to be opposite of nm which means they are equal to each other. nm = ol or x+11=2x+4 or 7 = x, then nm = ol = 18...
Area of triangle = 1/2 x base x height
so old triangle we have 1/2 x b x h = 48
new triangle has base 3 times as long and height is half as long
so we would get:
1/2 x (3B) x (1/2H) = area
rewrite as 1/2 x 3/2 x b x H = area
divide by original are os 1/2 x b x h and you end up with 3/2
so new area = 3/2 x old area
new area = 3/2 * 48 = 72 square inches
Answer:
I was going to give the answer but i keep getting it wrong, I am so sorry for wasting your time. IK i shouldn't be answering if I dont have the answer but i need the points. I feel terrible about this.
Step-by-step explanation:
Answer:
Triangle DEF is a right, scalene triangle. It is not isosceles, obtuse, acute, or equilateral
Step-by-step explanation:
All we know about m and n are that they are not equal to each other and they are positive. This was given in the problem. See image. Once it is graphed you can see on the graph the lengths of DE and EF. Use Pythagorean theorem to calculate DF. see image.
DE is horizontal and EF is vertical, so you can see their slopes or calculate using a formula. Calculate the slope of DF. Slope is y-y on top of a fraction and x-x on the bottom of the fraction.
Lastly, use midpoint formula to find the midpoints. Average the x's and average the y's to find the x- and y-coordinates of the midpoints. See image.
Finally, DEF is a right triangle. The graph as well as the slopes show us that DE and EF form a right angle. So DEF must be a right triangle (and not obtuse nor acute) We were told that m doesNOT equal n, so the triangle cannot have two equal sides, so it cannot be isosceles (2 equal sides) nor equilateral (3 equal sides) It has 3 different lengths of sides; that is called scalene.
