Answer:
The area of a rectangle is 520 square inches. The length is 3 more than twice the width. The equation 520 = 2w2 + 3w can be used to find the length and width of the rectangle.
Step-by-step explanation:
1st statement:
l= 2w+3
A= l × w
520= w×(2w+3)
520= 2w²+ 3w
2nd statement:
length of fencing= w+2l
120= w+2l
l= 60-w/2
A= (60-w/2) × w
A= 60w- w²/2
Hence this statement is incorrect
3rd statement:
H= x
B= x-4
P= x-2
Accoriding to pythagoras theorem
H²=P²+B²
x²=(x-4)²+(x-2)²
x²= x²-8x+16 + x²-4x+4
0= x²-12x+20
Hence this statement is incorrect
4th statement:
two consecutive even numbers are given by n and n+2
So this statement is incorrect
Answer:
32 feet
Step-by-step explanation:
Ratio: 8:4
If it is a 16 foot shadow, it would be 32 feet tall because you multiply 4 from 4 and 8
Answer:
You always have to divide the total for 1/5
for instance:
125/5 = 25
25/5 = 5
5/5 = 1
brainliest please ;)
I think it is -3/4 im pretty sure
9514 1404 393
Answer:
- Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EF
- Reflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with E
Step-by-step explanation:
The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.
The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.
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<em>Additional comment</em>
The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.