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aalyn [17]
3 years ago
7

Consider the two triangles shown. Which of the triangle congruence theorems could be used to prove the triangles congruent witho

ut establishing any additional information?
A. ASA
B. SAS
C. AAS

Mathematics
1 answer:
Georgia [21]3 years ago
7 0

Answer: AAS


Step-by-step explanation:

In the given triangles, there are two angles such as 84^{\circ} and  39^{\circ} and one non included side as 16 cm of both triangles are equal or congruent.

Thus, by AAS postulate of congruence both the triangles are congruent without establishing any additional information.


  • <em>The AAS postulate says that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.</em>

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-12-x&gt;-12+4x<br> put the steps too pls thanks
andrey2020 [161]

Answer:

x < 0

Step-by-step explanation:

Firstly put the values with variable x to one side,

; -12 - x > -12 + 4x

; -12 + 12 > 4x + x

; 0 > 5x

then divide both sides by 5,

; (0 ÷ 5) > (5x ÷ 5)

; 0 > x

; Hence the solution to the inequality above,

; x < 0...always remember to reverse the sign when you change the side to which you put the variable of x,

Therefore...( x < 0 )

3 0
3 years ago
A 5-pound bag at Bargain Mart costs $6.45. A 2-pound bag at Food Saver costs $2.50. A 7-pound bag at Grocery Surplus costs $9.45
levacccp [35]

Answer: Food Saver

Step-by-step explanation:

A 5-pound bag at Bargain Mart costs $6.45. The coat per pound will be:

= $6.45 / 5

= $1.29

A 2-pound bag at Food Saver costs $2.50. The cost per pound will be:

= $2.50 / 2

= $1.25

A 7-pound bag at Grocery Surplus costs $9.45. The cost per pound will be:

= $9.45 / 7

= $1.35

A 10-pound bag at Economart costs $12.89. ​The cost ​per pound will be:

= $12.89 / 10

= $1.289

Therefore, the shop which sells flour for the lowest unit price is Food Saver.

5 0
2 years ago
The temperature T of a refrigerator is at least 35°F and at most 41°F. Write a compound
s344n2d4d5 [400]

The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35  ≤  T ≤  41

A compound inequality has two inequality statements joined together

The the temperature of the inequality is represented by T

The temperature T of a refrigerator is at least 35°F and at most 41°F

This means that the temperature falls between 35°F and 41°F

Since the temperature, T, is at most 41°F

This can be mathematically interpreted as

T  ≤  41

The temperature, T, is at least 35°F

35  ≤  T

Combining the two inequality statements 35  ≤  T and T  ≤  41, the compound statement formed is:

35  ≤  T ≤  41

The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35  ≤  T ≤  41

Learn more here: brainly.com/question/11316045

8 0
2 years ago
How can I divide decimals
shusha [124]
You can write the problem with a division box, move the divisor decimal point the amount of spaces that it would take to make the number whole. Move the decimal if the dividend the same amount of spaces as the divisor. Move the decimal point directly up above the division bar, divide, check your work
4 0
3 years ago
Read 2 more answers
Find the equation for the line of best fit using the two points that are close to the line of best fit (2,70) and (4.5, 90)
kari74 [83]

Given:

Two points that are close to the line of best fit are (2,70) and (4.5, 90).

To find:

Th equation of best fit line using the given two points.

Solution:

We know that, if a line passes through the two points, then the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

Two points (2,70) and (4.5, 90) are close to the best fit line.

Consider the two points (2,70) and (4.5, 90). So, the equation of line is

y-70=\dfrac{90-70}{4.5-2}(x-2)

y-70=\dfrac{20}{2.5}(x-2)

y-70=8(x-2)

y-70=8x-16

Adding 70 on both sides, we get

y=8x-16+70

y=8x+54

Therefore, the equation of best fit line is y=8x+54.

3 0
3 years ago
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