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Anton [14]
2 years ago
10

Which criteria for triangle congruence can be used to prove the pair of triangles below are congruent?

Mathematics
2 answers:
Firlakuza [10]2 years ago
8 0

Answer: The correct option is fourth, i.e., SSS.

Explanation:

First write the name of vertices as shown below,

From the figure we can say that in triangle DAB and triangle BCD,

AB=CD

DA=BC

In both triangle the sides BD is common, so,

BD=BD

Since three sides of triangles DAB and triangle BCD are same so by the SSS property of congruent triangle we can conclude that the triangle DAB and triangle BCD are congruent.

Therefore the fourth option is correct.

kakasveta [241]2 years ago
4 0

Answer:

SSS

Step-by-step explanation:

We are given that two triangles.

We have to find the criteria can be used to prove the pair of triangles are congruent.

In given pair of triangles,

Two sides of one triangle are equal to corresponding two sides of other triangle.

One side is common in both triangles.

When three sides of one triangle are equal to three sides of other triangle then the triangles are congruent by SSS postulate.

Hence, the pair of triangles are congruent by SSS postulate.

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A store sells rope by the meter. The equation p=0.8L represents the price p(in dollars) of a piece of nylon rope that is L meter
Margaret [11]

Answer:

1. $0.80 or 80 cents

2. 1.25 meters

Step-by-step explanation:

The equation p=0.8L represents the price p (in dollars) of a piece of nylon rope that is L meters long.

1. To find how much the nylon costs per meter, take L = 1 (this means you are calculating the price of a piece of nylon rope that is 1 meter long):

L=1,\\ \\p=\$0.8\cdot 1=\$0.80

2. To find how long a piece of nylon rope that costs $1.00 is, substitute into the equation p = 1:

p=1,\\ \\1=0.8L\\ \\L=\dfrac{1}{0.8}=\dfrac{10}{8}=\dfrac{5}{4}=1.25\ meters

5 0
3 years ago
Katrina goes to Road Runner after school and purchases a soda for 1.50, chips for 3.50 and a candy bat for 0.50 An additional 8%
Nutka1998 [239]

<u>Answer:</u>

Sale tax paid by Katrina is 0.44 units of currency and total amount paid is 5.94 unit of currency.

<u> Solution:</u>

Given that Katrina goes to road runner after school and purchase following three products

A soda for 1.50  

Chips for 3.50

Candy for 0.50

Also she pays 8% sales tax.

Need to determine amount paid in sales tax and total amount paid by Katrina.

lets first calculate amount she paid without taxes.  

Total paid amount without taxes = 1.50 + 3.50 + 0.50 = 5.50

As she paid 8% sale tax , that is 8 % of 5.50

so sale tax paid = \frac{8}{100} \times 5.50 = 0.44

<em>Total amount paid = Total amount paid without taxes + tax paid </em>

= 5.50 + 0.44 = 5.94

Hence sale tax paid by Katrina is 0.44 units of currency and total amount paid is 5.94 unit of currency.  

7 0
3 years ago
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Mariana [72]

Answer:

11 2/3

Step-by-step explanation:

2 1/3 * 5

Change the mixed number to an improper fraction

2 /13 = ( 3*2+1)/3  = 7/3

7/3 * 5/1

35/3

Now change it back to a mixed number

3 goes back into 35 11 times with 2 left over

11 2/3

8 0
2 years ago
Read 2 more answers
-3x+10=21 solve for x
Fed [463]

Answer:

Step-by-step explanation:

-3x+10=21

-3x=21-10

-3x=11

x=11/-3

x=- 11/3

8 0
3 years ago
12.5% is what in fraction form?
Serggg [28]
1/8 is the answer because when you turn 12.5% into a decimal it is .125 and .125 x 8= 1. Hope this helps you out.
8 0
3 years ago
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