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trasher [3.6K]
4 years ago
6

By which rule are these triangles congruent? A) AAS B) ASA C) SAS D) SSS

Mathematics
2 answers:
exis [7]4 years ago
5 0

Answer:  A) AAS

Step-by-step explanation:

In the given picture we have two triangles ΔVUW and ΔXUY .

WV ≅ YX

∠UYX≅ ∠UYW

Also, it can be seen that ∠XUY and ∠VUW are vertical angles.

[When two lines intersects then they form two pair of angle known as vertical angles ]

Also, Vertical angles are always congruent.

⇒ ∠XUY ≅ ∠VUW

Now , in ΔXUY  and  ΔVUW, we have

WV ≅ YX

∠UYX≅ ∠UYW

∠XUY ≅ ∠VUW

So by AAS theorem , we have

ΔVUW ≅ ΔXUY  

  • AAS theorem says that if two angles and a side of a triangle are congruent to two angles and a side of another triangle then the triangles are said to be congruent.
weqwewe [10]4 years ago
4 0

Answer:

A. AAS

Step-by-step explanation:

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If m∠PQR = 141 ° , find each measure.
netineya [11]

Answer:

m<PQS = 82°

m<RQS = 59°

Step-by-step explanation:

m<PQS = (13x + 4)°

m<RQS = (10x - 1)°

m<PQR = 141°

To find each angle measure, find the value of x.

First, get an equation that defines the relationship between the angle measures as follows:

m<PQS + m<RQS = m<PQR (angle addition postulate)

(13x + 4)° + (10x - 1)° = 141°

Use the equation to solve for x

13x + 4 + 10x - 1 = 141

Combine like terms

13x + 10x + 4 - 1 = 141

23x + 3 = 141

Subtract 3 from each side of the equation

23x + 3 - 3 = 141 - 3

23x = 138

Divide each side by 23

23x/23 = 138/23

x = 6

m<PQS = (13x + 4)°

Plug in the value of x

m<PQS = 13(6) + 4 = 78 + 4

m<PQS = 82°

m<RQS = (10x - 1)°

Plug in the value of x

m<RQS = 10(6) - 1 = 60 - 1

m<RQS = 59°

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(-3, infinity)

Step-by-step explanation:

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I'm pretty sure this is correct.

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A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 190 lb and each bo
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Suppose you paid 411⁄8 for 72 shares of Buzz stock and sold them at 491⁄4. The total brokerage fee was 1⁄8 dollar per share and
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A percentage is a way to describe a part of a whole. The amount of your profit is $29.86. The percent of profit, based on your investment is 58.12%.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The cost of buying 72 shares is $(411/8) = $51.375

The cost of selling 72 shares is $(491/4) = $122.75

The total brokerage fees = $(1/8 × 72) = $9

All other charges amounted = $32.52

The profit is,

Profit = $122.75 - $51.375 - $9 - $32.52

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Hence, the amount of your profit is $29.86.

B.) The percent of profit, is based on your investment.

Since the investment is the cost of purchasing the share, therefore, the percent of profit, based on your investment can be written as,

Profit % = $29.86 /$51.375 × 100% = 58.12%

hence, The percent of profit, based on your investment is 58.12%.

Learn more about Percentages:

brainly.com/question/6972121

#SPJ1

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