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kakasveta [241]
3 years ago
13

Janet is designing a frame for a client. She wants to prove to her client that m∠AGE ≅ m∠CHE in her sketch. What is the missing

justification in the proof?
Alternate Exterior Angles Theorem
Corresponding Angles Theorem
Reflexive Property
Transitive Property

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0

Answer:

I believe the answer is transative property. I'm currently taking the test so I'm not 100% sure if I'm right yet.

Step-by-step explanation:

In step one, AGE and HGB are verticle angles since they are opposite of each other. then step two is alternate interior angles because they are interior angles opposite of each other, self-explanatory. the reason I choose the transitive property over the corresponding angles theorem is because the transitive property states: among A B and C, if A=B and B=c then A=C and in this case since AGE=HGB andHGB=CHE then AGE=CHE. I hope this helps and if you know the right answer just put it in the comments, if I'm wrong ofc.  

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finlep [7]
81 x 11 = 891
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You and your friend spent a total of $15 for lunch. Your friend's lunch cost $3 more than yours did. How much did you spend for
AnnZ [28]

Answer:

$15

Step-by-step explanation:

Your friend spent on his lunch you simply only spent on yours.

8 0
3 years ago
5. A meteorologist measured the average rainfall received in cities A and
labwork [276]

Answer:

2.75 inches

Step-by-step explanation:

  • City A received x  inches of rain.

City B experienced three times the amount of rainfall than  City A, therefore :

  • City B received 3x inches of rain.

Since both cities received 11 inches of rainfall in total.

We have that:

x+3x=11

4x=11

Divide both sides by 4

x=2.75 Inches

Therefore, we City A received 2.75 inches of rain.

8 0
3 years ago
The width of a rectangle is 1 unit less than the length. The area of the rectangle is 72 units. What is the width, in units, of
denis-greek [22]

Answer:

Length=9 units\\width=8 units

Step-by-step explanation:

Width of the rectangle= W

Length= L

W=(L-1) units

Area= 72 square units

Area of a rectangle= Length*Width

72=L*(L-1)\\\\72=L^2-L\\\\L^2-L-72=0

Solving the quadratic equation using the factorization method:

L^2+8L-9L-72=0

Taking common from the equation:

L(L+8)-9(L+8)=0\\(L+8)(L-9)=0

L+8=0\\L=-8

OR

L-9=0\\L=9

The length cannot be negative, therefore: Length= 9 units

Width=Length-1\\=9-1\\=8 units

Length=9 units\\width=8 units

4 0
3 years ago
Question 2 (5 points)
Anuta_ua [19.1K]

Answer:

The greatest common factor is 8xyz

Step-by-step explanation:

To find the greatest common factor of an expression involving numbers and variables, we find each greatest common factor separately.

Numbers:

48, 24 and 56.

We find the greatest common factor factoring them simultaneously while all can be factored by the same number. The GCF is the multiplication of the factors. So

48 - 24 - 56|2

24 - 12 - 28|2

12 - 6 - 14|2

6 - 3 - 7|

They cant be factored by the same factors anymore, so the numeric GCF is 8.

Variables:

For each variable, the GCF will be the lowest exponent.

Variable x: We have exponents 1, 2 and 2. So the GCF is x^1 = x

Variable y: We have exponents 3, 3 and 1. So the GCF is y^1 = y

Variable z: We have exponents 1, 1 and 1. So the GCF is z^1 = z

The greatest common factor is:

8*x*y*z = 8xyz

4 0
3 years ago
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