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3 years ago

Complete the following statement of congruence

Mathematics

2 answers:

myrzilka [38]3 years ago

6 0

Answer:triangle SRT is the correct answer

Step-by-step explanation:

alex41 [277]3 years ago

5 0

Answer:

Option A. Triangle STR

Step-by-step explanation:

we know that

If two triangles are congruent, then the corresponding sides and the corresponding angles are congruent

In this problem

If the two triangles of the figure are congruent

then

the corresponding sides are

MN and RS

NO and ST

MO and RT

and the corresponding angles are

∠N≅∠S

∠O≅∠T

∠M≅∠R

therefore

NOM≅STR

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Ms.Lopez has created a floor plan of a dollhouse. The area of the entire dollhouse is 576 square inches

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Answer:

(a)Area of the bedroom=96 square inches

(b)Area of the living room =144 square inches

(c)Area of the dollhouse that is not of the bedroom or living room =336 square inches.

Step-by-step explanation:

The area of the bedroom is 1/6 the area of the entire dollhouse

The area of the living room is 3/2 times the area of the bedroom.

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Let the area of bedroom=b

Let the area of living room=l

(a) The area of the bedroom is 1/6 the area of the entire dollhouse

$b=\frac{1}{6}X576=96$ square inches

(b)The area, in square inches, of the living room

The area of the living room is 3/2 times the area of the bedroom

l= $\frac{3}{2}X96=144$ square inches

(c)The total area of the house =576 square inches

Area of the bedroom=96 square inches

Area of the living room =144 square inches

Area of the dollhouse that is not of the bedroom or living room

=576-(96+144)=576-240=336 square inches.

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3 years ago

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Gnoma [55]

<h3>Corresponding angles = angle 1 and angle 5</h3>

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Other pairs of corresponding angles could be:

angle 2 and angle 6
angle 3 and angle 7
angle 4 and angle 8

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<h3>Alternate interior angles = angle 3 and angle 5</h3>

They are between the black lines, so they are interior angles. They are on alternate sides of the blue transversal, making them alternate interior angles.

The other pair of alternate interior angles is angle 4 and angle 6.

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<h3>Alternate exterior angles = angle 1 and angle 7</h3>

Similar to alternate interior angles, but now we're outside the black lines. The other pair of alternate exterior angles is angle 2 and angle 8

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<h3>Same-side interior angles = angle 3 and angle 6</h3>

The other pair of same-side interior angles is angle 4 and angle 5. They are interior angles, and they are on the same side of the transversal.

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3 years ago