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qaws [65]
3 years ago
9

Trapezoid KRBQ∼trapezoid PNCV

Mathematics
2 answers:
Tatiana [17]3 years ago
8 0

Answer:

BQ ---------- CV

∠R ----------- ∠N

KR ----------- PN

∠Q ----------- ∠V

Step-by-step explanation:

The question is

<em>Trapezoid KRBQ ∼ Trapezoid PNCV.</em>

<em>Drag the answers into the boxes to match each part of trapezoid KRBQ with the corresponding part of trapezoid PNCV .</em>

<em />

When we establish a similarity, the order of each letter of the figures have big importance, because this states the right order of the similarity, that is, the right order of each corresponding element.

So, from the given similarity we can deduct the following relations

BQ ---------- CV

∠R ----------- ∠N

KR ----------- PN

∠Q ----------- ∠V

The relations between angles are congruence relations.

The relations between segments or sides are proportional relations, because similarities are about congruent angles and proportional sides.

As you can see, these relations are deducted from the order of the given similarity. Actually, all corresponding elements can be deducted this way, that's why is really important to right the similarity in the right order.

murzikaleks [220]3 years ago
4 0

Answer:

Just took the test :))

Step-by-step explanation:

Look at the image down below!! ヽ(o^▽^o)ノ

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Hey there!

G(x) = 3x + 1

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= (-2)(3) + 1

G(-2)= -5


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You have torn a tendon and are facing surgery to repair it. the surgeon explains the risks to you: the probability of infection
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3 years ago
How many kilometers are in 5 miles
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3 0
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What the correct answer do not want the wrong answer please
Crank

Answer:

388.5yd²

Step-by-step explanation:

We have Triangle TUV

In the question, we are given already

Angle U = 32°

Angle T = 38°

Angle V = ???

Side t = 31yd

Side u = ?

Side v = ?

Area of the triangle= ?

Step 1

We find the third angle = Angle V

Sum of angles in a triangle = 180°

Third angle = Angle V = 180° - (32 + 38)°

= 180° - 70°

Angle V = 110°

Step 2

Find the sides u and v

We find these sides using the sine rule

Sine rule or Rule of Sines =

a/ sin A = b/ Sin B

Hence for triangle TUV

t/ sin T = u/ sin U = v/ sin V

We have the following values

Angle T = 38°

Angle U = 32°

Angle V = 110°

We are given side t = 31y

Finding side u

u/ sin U= t/ sin T

u/sin 32 = 31/sin 38

Cross Multiply

sin 32 × 31 = u × sin 38

u = sin 32 × 31/sin 38

u = 26.68268yd

u = 26.68yd

Finding side x

v / sin V= t/ sin T

v/ sin 110 = 31/sin 38

Cross Multiply

sin 110 × 31 = v × sin 38

v = sin 110 × 31/sin 38

v = 47.31573yd

v = 47.32yd

To find the area of triangle TUV

We use heron formula

= √s(s - t) (s - u) (s - v)

Where S = t + u + v/ 2

s = (31 + 26.68 + 47.32)/2

s = 52.5

Area of the triangle = √52.5× (52.5 - 31) × (52.5 - 26.68 ) × (52.5 - 47.32)

Area of the triangle = √150967.6032

Area of the triangle = 388.5454973359yd²

Approximately to the nearest tenth =388.5yd²

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3 years ago
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