Answer:
Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proof is below.
Step-by-step explanation:
Given:
In Δ PQT
PQ = 30 ft
QT = 28 ft
TP = 20 ft
In Δ QRS
QR = 15 ft
RS = 14 ft
SQ = 10 ft
To Prove:
Δ PQT ~ Δ QRS
Proof:
First we consider the ratio of the sides
..............( 1 )
..............( 2 )
..............( 3 )
So By equation ( 1 ), ( 2 ) and ( 3 ) we get
Now in Δ PQT and Δ QRS we have
Which are corresponding sides of a similar triangle in proportion.
∴ Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proved
Answer:
B and D
Step-by-step explanation:
To find the percentage, you divide Martin's correct answers by the total number of questions, then multiply the result by 100.
To find the fraction, it's <em>correct answers/total questions</em>.
The width of the rectangle is 6.82 meters, while the length of the rectangle is 8.184 meters.
<h3>What is a rectangle?</h3>
A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.
Let the width of the rectangle be x.
Given that a rectangular room is 1.2 times as long as it is wide. Therefore, the length is 1.2x.
Perimeter = 2(x + 1.2x)
30 meters = 2(2.2x)
30 = 4.4x
x = 6.82
Hence, the width of the rectangle is 6.82 meters, while the length of the rectangle is 8.184 meters.
Learn more about Rectangle:
brainly.com/question/15019502
#SPJ1
Answer:
8x + 12 = 12 + 8x
0 = 0
Step-by-step explanation:
Distribute then simplify
From this picture you can calculate coordinates of triangles' vertices:
.
Since
you can conclude that points A, B, C are rotated by
about the point (-0.5,0) to form points J, G, H, respectively.
Answer: A is correct choice.
