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Step2247 [10]
3 years ago
12

Identify the postulate or theorem that proves the triangles congruent. A. SAS B. SSS C. SSA D. The triangles cannot be proven co

ngruent.
Mathematics
1 answer:
Masja [62]3 years ago
4 0

Answer:

C) SSA is NOT  a congruent postulate to prove any two triangles congruent to each other.

Step-by-step explanation:

Two Triangles are said to congruent if three sides of one triangle is equal to the 3 corresponding sides of other triangle and 3 angles on one triangle is equal to other 3 corresponding angles.

Two triangles can be proved congruent to each other by

A. SSS (SIDE SIDE SIDE) Postulate

Here, the threes sides of one triangle is equal to the 3 corresponding sides of the other triangle.

B. SAS (SIDE ANGLE SIDE) Postulate

Here, the two sides and any one angle  of one triangle is equal to the two corresponding sides and one  angle of the other triangle.

C. ASA ( ANGLE SIDE ANGLE) Postulate

Here, the two angles and the included angle  of one triangle is equal to the two corresponding sides and included angle of the other triangle.

Hence, from the above option SSA is NOT  A congruent postulate to prove any two triangles congruent to each other.

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What is the area of rhombus ABCD? Enter your answer in the box. Do not round at any steps.
Mrac [35]

Answer:

Area of the rhombus ABCD = 16 square units

Step-by-step explanation:

Area of a rhombus = \frac{1}{2}(\text{Diagonal 1})(\text{Diagonal 2})

From the graph attached,

Diagonal 1 = Distance between the points A and C

Diagonal 2 = Distance between the points B and D

Length of a segment between (x₁, y₁) and (x₂, y₂) = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }

Diagonal 1 (AC) = \sqrt{(4-0)^2+(-1+1)^2} = 4 units

Diagonal 2(BD) = \sqrt{(2-2)^2+(3+5)^2} = 8 units

Now area of the rhombus ABCD = \frac{1}{2}(\text{AC})(\text{BD})

                                                       = \frac{1}{2}\times 4\times 8

                                                       = 16 units²

Therefore, area of the given rhombus is 16 units².

5 0
3 years ago
What's the verbal expression for 100-5n
Yuri [45]
Five times a number less than one hundred.
6 0
3 years ago
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Roger can shovel his family's driveway in 1 hour. His older sister, Alexis, can shovel the driveway in 1/2 hour. If they work to
sukhopar [10]

Answer:

40 min

Step-by-step explanation:

his sister can do it twice as fast so the boy does 1 and the sister does 2. he will do 1/3 of the work and it will take 1/3 of the time

8 0
2 years ago
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Someone please help me on number 30. Thank you
timurjin [86]

8.9-3.3j=-2.2j+2.3
add 3.3j to both sides
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subtract 2.3 from both sides
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7 0
3 years ago
Identify which of the twelve basic functions listed below fit the description given. The three functions that are bounded above.
Irina18 [472]

Answer:The Sine function:  

f

(

x

)

=

sin

(

x

)

The Cosine function:  

f

(

x

)

=

cos

(

x

)

and

The Logistic function:  

f

(

x

)

=

1

1

−

e

−

x

are the only function of the "Basic Twelve Functions" which are bounded above.

Step-by-step explanation:

8 0
3 years ago
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