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MariettaO [177]
3 years ago
9

Which additional facts prove that RST and WXY are congruent? (Geometry)

Mathematics
1 answer:
alexandr402 [8]3 years ago
6 0

Answer:

Option C

Step-by-step explanation:

In the given triangles ΔRSW and ΔWXY,

m(∠S) = m(∠X) = 60° [Given]

Properties of congruence of two triangles applicable in this question,

SAS or ASA

For the congruence of two triangles by the property SAS,

"Two corresponding sides and the included angle should be congruent"

RS ≅ WX, ST ≅ XY and ∠S ≅ ∠X

Which is not given in any option.

For the congruence of two triangles by the property ASA,

"Two consecutive angles and the side having these angles should be congruent"

∠R ≅ ∠W, ∠S ≅ ∠X and RS ≅ XY

Option C will be the correct option.

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Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of
____ [38]

Answer:

So we have a triangle and a semicircle.

If the triangle is equilateral, this is:

AB = BC = 6cm

Then the area of the triangle is equal to (base*height)/2

in this case:

A = (6*6)/2 = 36/2 = 18cm^2.

And the diameter of the semicircle is equal to 6cm, then the diameter is 3cm

And if the area of a circle is A = pi*r^2

then the area of half a circle is:

A = (pi/2*)3^2 = pi*4.5cm^2

Then, the area of the triangle plus the area of the semicircle is:

Total area = 18cm^2 +  pi*4.5^2

3 0
3 years ago
Bryce needs to feet of ribbon to tie a bow around a birthday present. he has 3 feet of ribbon is that enough
ehidna [41]
I don't know to answer but i am good at geometry
Feel free to ask me
7 0
3 years ago
Beth has already jogged 3 miles. She plans to jog less than 12 miles. Which inequality can be
8090 [49]

Answer:

x + 3 < 12

Hope this helps :)

8 0
3 years ago
Jessica is shopping for a new car. She found a blue car that has a 12-gallon gas tank and can go 384 miles on one tank. She foun
adelina 88 [10]

Answer:

Silver car

Step-by-step explanation:

It seems pretty hard but it's actually REALLY easy. gas mileage means the number of miles you can go on a particular amount of gallons. But the gallons have to be the same for both cars so that it's fair.

so let's go with 10 gallons. pretty broad number right?

so to get 12 gallons(the gallons for the blue car) to 10, We divide it by 12 then multiply it by 10. Try it yourself, (12/12)*10=???

then we do that to 384 (the miles for the blue car)

(384/12)*10=320

so 320 is the mileage for the first car. Repeat the steps for the silver car!

(14/14)*10=10

so then: (504/14)*10= 360.

So which is bigger, 320 or 360?

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5 0
2 years ago
If A(1,2), B(5,-4) and (-3,2) are the vertices of a triangle, which statement holds true?
Zigmanuir [339]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The length of different sides are:

AB = \sqrt{(5-1)^2+(-4-2)^2} = \sqrt{16+36} = \sqrt{52}\rm\ units

BC = \sqrt{(-3-5)^2+(2+4)^2} = \sqrt{64+36} = 10\rm\ units

AC = \sqrt{(2-2)^2+(-3-1)^2} = \sqrt{16} = 4\rm\ units

Since the length of all the sides of the triangle is not equal it is a scalene triangle.

Hence, the correct option is A.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

7 0
1 year ago
Read 2 more answers
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