Triangles IJK and LMN are similar. Then, the proportion between their similar sides must be equal. That is:
IJ/ML = JK/MN = IK/LN
where:
IJ = x
JK = 54
IK = y
MN = 42
ML = 28
NL = 35
In order to find the value of y, you consider the equation JK/MN = IK/LN, and solve for y, just as follow
JK/MN = IK/LN replace by the values
54/42 = y/35 multiply both sides by 35
(54/42)(35) = y
45 = y
Hence, y = 45
The area of a triangle is 1/2 x base x height
Area = 1/2 x 24 x 28 = 336 square inches.
Because the corners are rounded the are would actually be just under 336 but no radius was given to get the exact area.
Answer:
800
Step-by-step explanation:
Given: The selling price of bed is 2400.
Discount offered is 25%
Lets assume the cost of bed be "x"
Discount offered on the cost price of bed= ![\frac{25}{100} \times x= 0.25x](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B100%7D%20%5Ctimes%20x%3D%200.25x)
∴ Discount offered on the cost price of bed= 0.25x
We know the selling price of bed after discount provided.
Finding the cost price of the bed.
⇒ ![x-0.25x= 2400](https://tex.z-dn.net/?f=x-0.25x%3D%202400)
⇒ ![0.75x= 2400](https://tex.z-dn.net/?f=0.75x%3D%202400)
cross multiplying both side.
∴ ![x= \frac{2400}{0.75} = 3200](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B2400%7D%7B0.75%7D%20%3D%203200)
∴ Cost price of the bed is 3200.
We know selling price of the bed is 2400.
Now, finding the saving.
Saving on the price of bed= Cost price- selling price
Saving= ![3200-2400= 800](https://tex.z-dn.net/?f=3200-2400%3D%20800)
Hence, saving on the purchase of the bed is 800.
Start with the point-slope form:
.
Then you substitue in the slope and coordinates from the point:
![y-5 = 2(x-(-7))](https://tex.z-dn.net/?f=y-5%20%3D%202%28x-%28-7%29%29)
You don't do a lot of clean up to the form, with the exception of turning "minus negative 7" into "plus 7".
![y-5 = 2(x+7)](https://tex.z-dn.net/?f=y-5%20%3D%202%28x%2B7%29)
Thar be yer answer!