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victus00 [196]
3 years ago
5

Which postulate or theorem proves that these two triangles are

Mathematics
1 answer:
Len [333]3 years ago
4 0
Q AAS congruence theorem
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1.) List all interior angles (see image)
Alexxandr [17]

Answer:

1. Interior angles:- B and F

                                C and G

2. Corresponding angles:- E and G

                                              F and H

                                              A and C

                                              B and D

3. Equal

4. Angle A = 105

    Angle C = 105

    Angle D = 75

    Angle E = 75

    Angle F = 105

    Angle G = 75

     Angle H = 105

5. Angle D

6. Angle B = 65

Step-by-step explanation:

1. The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.

∴ Pair of interior angles are:- 1)  B and F

                                                  2) C and G

2. Corresponding angles:- the angles which occupy the same relative position at each intersection where a straight line crosses two others.

∴ Pair of corresponding angles:- 1) A and C

                                                        2) B and D

                                                        3) E and G

                                                        4) F and H

3. Angle D and E are equal as they form alternate exterior angles.

4. Angle B = 75 degrees

Angle A = (180-B) = 105 degrees

Angle C = (180-B) = 105 degrees(interior angles)

Angle D = B = 75 degrees(corresponding angles)

Angle E = B = 75 degrees(congruent angles)

Angle F = (180-B) = 105 degrees

Angle G = B = 75 degrees(alternate interior angles)

Angle A = (180-B) = 105 degrees

5. Angle D

6. Angle F = 115 degrees

Angle B = (180-115) = 65 degrees

3 0
3 years ago
The length of rectangle is 5 cm greater than its width. The perimeter is 106cm. Find the dimensions of the rectangle.
antiseptic1488 [7]

Width-24 Length-29

Two sides of the rectangle are 5 cm bigger than the other two. So you would add the two 5 cm together (10cm). If you take the 10 cm off you (106-10) you will get a square. Then all you have to do is divide 96 by 4 (24), and add back on the two 5cm from the beginning to the length (29).

4 0
3 years ago
FIND THE DIFFerence.<br> 78,000 - 9,743 =
vitfil [10]

Answer:

68257

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
56of the 90pets in the pet show are cats 4/5of the cats are calico cats. What fraction of the pets are calico cats?
meriva
To get the answer, we can divide 56 by 5 to find one fifth of the cats. Then, we can multiply this number to get four fifths of the cats. Then, we put this number over 90 since there is 90 pets in the entire show. Then, this answer ends up being about half all of the pets are calicos.
4 0
4 years ago
Read 2 more answers
Find the distance between the points L(7,−1) and M(−2, 4).
kakasveta [241]

Answer:

The exact distance between the two points is 10

Step-by-step explanation:

8 0
4 years ago
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