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3 years ago

Is this a parallelogram? If so, please explain why.

Mathematics

2 answers:

MatroZZZ [7]3 years ago

5 0

The answer is a no!!!

max2010maxim [7]3 years ago

4 0

Answer:

the answer is no

Step-by-step explanation:

It only shows that one pair of lines are parallel but not both are. Parallelograms have two pairs of parallel lines.

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Please help?!

Anton [14]

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

$\frac{PQ}{QR}=\frac{30}{15} = \frac{2}{1}$ ..............( 1 )

$\frac{QT}{RS}=\frac{28}{14} = \frac{2}{1}$ ..............( 2 )

$\frac{TP}{SQ}=\frac{20}{10} = \frac{2}{1}$ ..............( 3 )

So By equation ( 1 ), ( 2 ) and ( 3 ) we get

$\frac{PQ}{QR}=\frac{QT}{RS} = \frac{TP}{SQ}$

Now in Δ PQT and Δ QRS we have

$\frac{PQ}{QR}=\frac{QT}{RS} = \frac{TP}{SQ}$

Which are corresponding sides of a similar triangle in proportion.

∴ Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proved

8 0

3 years ago

Find x and y Don’t argue in the comments I actually need help

igor_vitrenko [27]

X=132

To find y
180-132= 48
180-68-48=64
y=64

7 0

3 years ago

Read 2 more answers

Two sides and an angle are given. determine whether the given information results in one triangle, no triangle, three triangles,

Crazy boy [7]

We are given 2 sides 18.7, 16.1 and a NON-included angle.
We have to calculate the altitude of the triangle.
altitude = 18.7 * sine (35)
altitude = 18.7 * 0.57358
altitude = 10.725946 
In this case, side c is greater than the altitude and is less than side a so 2 two triangles will be formed.

Source:
http://www.1728.org/trigssa.htm