If the equation for volume is V=l*w*h, you can plug in all of the information you know. When you do this, the equation becomes 1440=15*12*h, or 1440=180*h (because 15*12=180). You can divide both sides by 180 to get h. 1440/180=8, do the depth of the pool is 8 ft. You can also check this answer by making sure that 15*12*8 is equal to 1440 (which it is). I hope this helped!
Prove that DJKL~ DJMN using SAS Similarity Theorem. Plot the points J (1,1), K(2,3), L(4,1) and J (1,1), M(3,5), N(7,1). Draw DJ
dolphi86 [110]
Answer and Step-by-step explanation: The triangles are plotted and shown in the attachment.
SAS Similarity Theorem is by definition: if two sides in one triangle are proportional to two sides of another triangle and the angles formed by those sides in each triangle is congruent, the triangles are similar.
For the triangles on the grid, we know that ΔJKL and ΔJMN have a congruent angle in J as shown in the image. To prove they are similar, we find the slope of sides KL and MN:
<u>Slope of KL</u>:
slope = 
slope = 
slope = -1
<u>Slope of MN</u>:
slope = 
slope = 
slope = -1
Since the slopes of KL and MN are the <u>same</u> and the angle is <u>congruent</u>, we can conclude that ΔJKL~ΔJMN.
Answer:
a): 68
b): 32
Step-by-step explanation:
In a triangle, there is a total of 180 degrees
We are given 2 out of the 3 angles, 54 and 58 degrees
180-54-58= 68 degrees
In the other angle, both lines form a 90-degree angle
We are given 58 degrees, so the rest must be 32.
Rectangle ABCD
Line AB = 4 - 1 = 3
Line CD = 4 - 1 = 3
Line AC = 2 - 1 = 1
Line BD = 2 - 1= 1
If line A'B' = 6
the scale factor of the dilation is 2.
Line AB: 3 x 2 = 6 line A'B/
Life Advice:
I, too have experienced a huge fall in my math grades. I'm currently in high school and I have maybe 2 assignments done in my entire school year of math. I have almost no problem with any other subject, I just can't <em>motivate myself to do math</em>. I have a hard time ever even considering catching up, and I personally do not know if I will.
You might have the same problem I do, which is just lack of motivation.
If I were you I would provide some sort of incentive to get yourself to do it more efficiently and better yet, more enjoyably. I also advise listening to music that can get you in a good mood. Both of these things have been a huge help for me to stay motivated in other classes, and they may even help you with math.
I would also recommend getting some kind of a personal tutor. A friend, a worker at school, one of your math teachers. Never feel embarrassed to tell them you're behind. People will almost always be understanding when it comes to helping someone learn something they're behind on.
For an incentive, think about something you might be able to buy with money from a job that you take outside of high school, like a car or a house, or a guitar.
I, personally, am going to get a really beat-up pickup truck if it lasts till the end of my school year.
I hope this helped!
Thanks!
Your friend in life,
~Steve
