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3 years ago

If two triangles are congruent, which of the following statements must be true?

Mathematics

2 answers:

PSYCHO15rus [73]3 years ago

7 0

Answer:

The correct options are A, B, C and D.

Step-by-step explanation:

A figure said to be congruent if:

Two figures are said to be congruent if they have same size and same shape.

If two figure are congruent that means the corresponding sides will also be congruent.

If two figure are congruent that means the the corresponding angles will also be congruent.

Now consider the provided option.

By the above definition it is clear that all the options are correct.

Hence, the correct options are A, B, C and D.

kobusy [5.1K]3 years ago

3 0

If the two triangles are congruent,
then all four choices are true.

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3 years ago

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Vinil7 [7]

Answer:

the slope is -4/3

Step-by-step explanation:

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3 years ago

What is the width of the rectangle shown below? <br>4x + 3 <br>A = 8x2 – 10x – 12

ozzi

Answer:

Step-by-step explanation:

Area of a rectangle = Length * Width

Given parameters

Area A = 8x2 – 10x – 12

Length of the rectangle = 4x+3

Required

Width of the rectangle.

Substituting the given parameters into the formula

8x2 – 10x – 12 = (4x+3)*width

width = 8x2 – 10x – 12 /4x+3

Factorizing the numerator

8x² – 10x – 12

= 2(4x²-5x-6)

= 2(4x²-8x+3x-6)

= 2(4x(x-2)+3(x-2))

= 2(4x+3)(x-2)

Width = 2(4x+3)(x-2)/4x+3

Width = 2(x-2)

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8 0

3 years ago

Her senior year of college, Giselle decides to live off campus. In order to cover rent, she wants to get a job as a waitress.

SCORPION-xisa [38]

She would have to work at least 12 hours.

At Chili’s, she would be paid 11.75x + 33 per week, with x being the number of hours she worked.

At the Cheesecake Factory, Giselle would be paid 14.50x per week, with x being how many hours she worked.

We want to know how many hours Gisele would have to work for her pay at the Cheesecake Factory to be more than her pay at Chili’s

The inequality 11.75x + 33 < 14.50x is what has to be set up to solve the problem. At how many hours will the pay on the left be less than the pay on the right?

11.75x + 33 < 14.50x
33 < 2.75x
12 < x

So Giselle has to work greater 12 hours a week for her to make more money at the Cheesecake Factory.

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3 years ago

What is the shape of the cross-section formed when a plane containing line AC and line EH intersects this cube? What is the area

velikii [3]

Answer:

Cross section is a rectangle.

Area of cross section = 16 sqrt(2) = 22.63 sq. units (to 2 decimals)

Step-by-step explanation:

Given a cube.

top face ABCD is parallel and congruent to bottom face EFGH ........(1)

justified by the properties of cubes

Sides AE and CH are perpendicular to faces ABCD and EFGH ..........(2)

justified by the properties of cubes

Diagonals AC and EH are congruent ......................(3)

justified by (1), congruent top and bottom faces

Consider cross-section ACHE

AC is congruent and parallel to EH (1) & (3)

EA & HC are perpendicular to AC (2)

Therefore the quadrilateral ACHE is a rectangle.

Length of diagonal AC = sqrt(4^2+4^2) = 4 sqrt(2) ..........pythagoras theorem

AE = CH = DG = 4 properties of cube, all sides equal

Area of ACHE = 4* 4sqrt(2) = 16 sqrt(2) = 22.63 sq. units

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3 years ago