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Minchanka [31]
3 years ago
9

What else would need to be congruent to show that ABC = XYZ by SAS?

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0

Answer:

BC=YZ

Step-by-step explanation:

The SAS Congruency states that if two sides and one angle in a triangle are equal then the triangles are said to be congruent.

It is given that,

angle B= angle Y

AB=XY

to prove they are congruent we need to show that BC=YZ

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

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This membership will last 1 year / 12 months
8 0
4 years ago
catering service offers 8 ​appetizers, 11 main​ courses, and 7 desserts. A banquet committee is to select 7 ​appetizers, 8 main​
guapka [62]

Answer:  The required number of ways is 46200.

Step-by-step explanation:  Given that a catering service offers 8 ​appetizers, 11 main​ courses, and 7 desserts.

A banquet committee is to select 7 ​appetizers, 8 main​ courses, and 4 desserts.

We are to find the number of ways in which this can be done.

We know that

From n different things, we can choose r things at a time in ^nC_r ways.

So,

the number of ways in which 7 appetizers can be chosen from 8 appetizers is

n_1=^8C_7=\dfrac{8!}{7!(8-7)!}=\dfrac{8\times7!}{7!\times1}=8,

the number of ways in which 8 main courses can be chosen from 11 main courses is

n_2=^{11}C_8=\dfrac{11!}{8!(11-8)!}=\dfrac{11\times10\times9\times8!}{8!\times3\times2\times1}=165

and the number of ways in which 4 desserts can be chosen from 7 desserts is

n_3=^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!\times3\times2\times1}=35.

Therefore, the number of ways in which the banquet committee is to select 7 ​appetizers, 8 main​ courses, and 4 desserts is given by

n=n_1\times n_2\times n_3=8\times165\times35=46200.

Thus, the required number of ways is 46200.

7 0
4 years ago
Josiah needs 2 1/2 cups of oil to make a a batch of 15 fried chickens. How many fried chickens can be made using 3 gallons of oi
Valentin [98]

Answer: 288 chickens

Step-by-step explanation: Please see attachment for explanation.

5 0
3 years ago
Read 2 more answers
I need help with them two
Naily [24]
A) multiply both sides by 21 so x=7
B) multiply both sides by x, then both sides by 84, then divide both sides by 150 so x=14
8 0
3 years ago
Read 2 more answers
H(x) = 1/3x - 1 if h (15)
dalvyx [7]

Answer:

(

h

∘

f

∘

g

)

(

x

)

is known as a composite function. Here's how composite functions work:

let's say that  

x

=

1

. Your function  

g

(

x

)

=

1

3

(

x

)

now produces a  

y

output of  

1

3

, since  

g

(

1

)

=

1

3

(

1

)

. Within a composite function, the y-value of one function becomes the x-value of the next, like so:

g

(

1

)

=

1

3

⇒

f

(

1

3

)

=

17

3

⇒

h

(

17

3

)

=

17

Therefore,

(

h

∘

f

∘

g

)

(

1

)

=

17

Based on this, to find the function for  

(

h

∘

f

∘

g

)

(

x

)

(combined from right to left, by the way), simply replace  

x

in  

f

(

x

)

with the function  

g

(

x

)

, and replace  

x

in  

h

(

x

)

with the function of  

(

f

∘

g

)

(

x

)

, to get  

(

h

∘

f

∘

g

)

(

x

)

.

This, simplified, is equal to  

2

x

+

15

, and therefore  

(

h

∘

f

∘

g

)

(

1

)

=

2

(

1

)

+

15

=

17

Hope that helps!

5 0
3 years ago
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