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Alexxx [7]
3 years ago
11

Consider the diagram below where line segment OR is congruent to line segment RE and line segment AB is parallel to line segment

EM. Suppose the triangle A is congruent to triangle REM. Explain how you can prove this congruent statement using ASA and AAS.
Mathematics
1 answer:
tatyana61 [14]3 years ago
5 0

Answer:Congruence

G-CO.A.1

G-CO.A.2

G-CO.A.3

G-CO.A.4

G-CO.A.5

G-CO.B.6

G-CO.B.7

G-CO.B.8

G-CO.C.9

G-CO.C.10

G-CO.C.11

G-CO.D.12

G-CO.D.13

Similarity, Right Triangles, and Trigonometry

G-SRT.A.1

G-SRT.A.1b

G-SRT.A.2

G-SRT.A.3

G-SRT.B.4

G-SRT.B.5

G-SRT.C.6

G-SRT.C.7

G-SRT.C.8

Circles

G-C.A.1

G-C.A.2

G-C.B.5

Expressing Geometric Properties with

Equations

G-GPE.A.1

G-GPE.B.4

G-GPE.B.5

G-GPE.B.6

G-GPE.B.7

Geometric Measurement and Dimension

G-GMD.A.1

G-GMD.A.3

G-GMD.B.4

Modeling with Geometry

G-MG.A.1

G-MG.A.2

G-MG.A.3

Conditional Proba

Step-by-step explanation: there is the answer

key

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topjm [15]

Answer:

D (12, 21); B (11, 17); C (18,28); D (42); C (8).

Step-by-step explanation:

First:

Let I represent Isabel and M represent Marie.

We know that currently, Isabel is 9 years older than Marie, or:

I=9+M.

In three years, Isabel will be six years less than twice of Marie's age. In other words:

(I+3)= 2(M+3)-6

Now solve. Substitute I.

(9+M+3)=2M+6-6

12+M=2M

M=12; I=21. Marie is 12 while Isabel is 21.

Second:

Let I represent Isabel and M represent Marie.

Isabel is 6 years older than Marie; in other words: I=6+M

In 4 years, Isabel will be 9 years less than twice Marie's age. Or:

(I+4)=2(M+4)-9

Solve. Substitute I.

(6+M+4)=2(M+4)-9

10+M=2M+8-9

10+M=2M-1

11=M; I=17; Marie is 11 while Isabel is 17.

Third:

Let I represent Isabel and M represent Marie.

Isabel is 10 years older than Marie, or: I=10+M

In 2 years, twice Isabel's age is three times Marie's age. Or:

2(I+2)=3(M+2)

Solve. Substitute for I.

2(10+M+2)=3(M+2)

24+2M=3M+6

18=M; I=28. Marie is 18 while Isabel is 28.

Fourth:

Let M represent Mary and A represent Ann.

Mary is 3 time as old as Ann. Or: M=3A

7 years ago Mary was 5 times as old as Ann. In other words:

(M-7)=5(A-7)

Solve for this system. Substitute M.

(3A-7)=5A-35

-2A=-28

A=14; M=42; Mary is 42.

Fifth:

Let T represent Tammy and L represent Laurel.

We know that Tammy is 42 while Laurel is 9. In other words:

T=42 and L=9.

We need to find in how many years will 3 times Laurel's age be 1 more than Tammy's age. In other words, let's let y represent the amount of years. Thus:

3(L+y)=(T+y)+1

We already know L and T:

3(9+y)=(42+y)+1

27+3y=43+y

2y=16

y=8

In 8 years, when Laurel is 17 and Tammy is 50. (3 times 17 is 51, one more than 50).

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