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kobusy [5.1K]
2 years ago
5

Determine if the following triangles are congruent by SSS or SAS.

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
6 0

Answer:

They are congruent by SAS (Side Angle SIde) test or congruence criterion

Since,

In triangle ABD and triangle BCD

AB = BC (Given)

BD = DB(Common Side)

Angle ABD = Angle CBD

Therefore triangle ABD and triangle BCD by SAS (Side Angle SIde) test or congruence criterion

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Which ordered pair is a solution of the equation?
DedPeter [7]

9514 1404 393

Answer:

  B. only (-2, 9)

Step-by-step explanation:

A graph of the equation makes it easy to see that (-2, 9) is a solution and (2, -9) is not.

You can try these values of x in the equation to see what the corresponding y-values are.

  y = -2{-2, 2} +5 = {4, -4} +5 = {9, 1}

Points on the line are (-2, 9) and (2, 1).

(2, -9) is not a solution.

5 0
2 years ago
a customer is owed $30.00. how many different combinations of bills,using only five, ten, and twenty dollars bills are possible
Burka [1]

Answer:    

1.  6 fives.

2.  1 ten and 4 fives.

3.  2 tens and 2 fives.

4.  3 tens.

5.  1 twenty and 2 fives.

6.  1 twenty and 1 ten.

Step-by-step explanation:

Given : A customer is owed $30.00.

To find : How many different combinations of bills,using only five, ten, and twenty dollars bills are possible to give his or her change?

Solution :

We have to split $30 in terms of only five, ten, and twenty dollars.

1) In terms of only five we required 6 fives as

6\times 5=30

So, 6 fives.

2) In terms of only ten and five,

a) We required 1 ten and 4 fives as

1\times 10+4\times 5=10+20=30

So, 1 ten and 4 fives.

b) We required 2 tens and 2 fives as

2\times 10+2\times 5=20+10=30

So, 2 tens and 2 fives

3) In terms of only tens we require 3 tens as

3\times 10=30

So, 3 tens.

4)  In terms of only twenty and five, we required 1 twenty and 2 fives as

1\times 20+2\times 5=20+10=30

So, 1 twenty and 2 fives.

5)  In terms of only twenty and ten, we required 1 twenty and 1 ten as

1\times 20+1\times 10=20+10=30

So, 1 twenty and 1 ten.

Therefore, There are 6 different combinations.

7 0
3 years ago
Question:find the angle measure of the missing angle <br><br>if you can pls explain ​
tiny-mole [99]

Answer:

85°

Step-by-step explanation:

So in geometry, the formula to find the <u>sum of all interior angles</u> is denoted as follows:

<em>n</em> = number of sides in the polygon

( <em>n</em> - 2 ) × 180° = sum of the interior angles

Using that formula, a triangle has 3 sides, so

<em>n</em> = 3 , therefore:

= ( 3 - 2 ) × 180°

= 1 × 180°

= 180°

Since the total sum of the interior angles of a triangle all have to add up to 180°, you can create the following equation and solve:

34° + 61° + <em>x</em> = 180°

Solve for x.

8 0
2 years ago
Which of the following relations is a function?
ella [17]
From my work I believe it should be the third one. 
4 0
3 years ago
Find an expression which represents the difference when (-5x-y) is subtracted from (9x+2y) in simplest terms.
AnnyKZ [126]

Answer:

4x+y add like terms ... -5+9=4 and  -y(or -1)+2y=y

4 0
2 years ago
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