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sergeinik [125]
3 years ago
6

Which postulate or theorem proves that these two triangles are congruent?

Mathematics
2 answers:
Sedbober [7]3 years ago
8 0

Answer:

ASA Congrence Postulate

Step-by-step explanation:

Let us consider the Triangle FGJ and triangle GJH

1) angle GFJ =angle GHJ (given in the figure )

2) GJ=GJ (common side for both the triangles)

3)angle FGJ =angle GJH (alternate interior angles )

So, from  the points (1),(2) and (3) we can say that both the triangle are congruent by ASA congruency .

Alla [95]3 years ago
4 0

AAS congruence theorem.


We know that <H is congruent to <F and <GJH is congruent to <JGF.

We also know that JG is congruent to JG, which gives us a side and two angles, so AAS would prove them congruent.

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You can install ( Foto math) app then you can find it. Small help

7 0
2 years ago
1. The sum of Teresa's and Cathy's weight is
sergeinik [125]

Answer:

d

Step-by-step explanation:

E is ththe answer

the first equation should be T + C = 118 and the second equation should be C + 26 = T

none of these equations are correct

4 0
2 years ago
-4+5|4x-4|=21 solve for x
grin007 [14]

Answer:

Step-by-step explanation:

hello :

-4+5|4x-4|=21

add 4 : 5|4x-4| = 25

divid by 5 :  |4x-4| = 5  means : 4x-4 = 5   or 4x-4 = -  5  

4x=9 or 4x =-1

x= 9/4 or x = - 1/4

5 0
2 years ago
What is the value of K?
Ksju [112]
Answer: The value of k for which one root of the quadratic equation kx2 - 14x + 8 = 0 is six times the other is k = 3.
Let's look into the solution step by step.

Explanation:

Given: A quadratic equation, kx2 - 14x + 8 = 0

Let the two zeros of the equation be α and β.

According to the given question, if one of the roots is α the other root will be 6α.

Thus, β = 6α

Hence, the two zeros are α and 6α.

We know that for a given quadratic equation ax2 + bx + c = 0

The sum of the zeros is expressed as,

α + β = - b / a

The product of the zeros is expressed as,

αβ = c / a

For the given quadratic equation kx2 - 14x + 8 = 0,

a = k, b = -14, c = 8

The sum of the zeros is:

α + 6α = 14 / k [Since the two zeros are α and 6α]

⇒ 7α = 14 / k

⇒ α = 2 / k --------------- (1)

The product of the zeros is:

⇒ α × 6α = 8 / k [Since the two zeros are α and 6α]

⇒ 6α 2 = 8 / k

⇒ 6 (2 / k)2 = 8 / k [From (1)]

⇒ 6 × (4 / k) = 8

⇒ k = 24 / 8

⇒ k = 3
6 0
2 years ago
Adrian is putting streamers across the ceiling of his dining room to decorate for his nephew’s birthday party. The ceiling is re
ale4655 [162]

Answer: hello there here is your answer:

17.5 feet

Step-by-step explanation:

Area of rectangle = Length x Width  

Length = Area/Width = 122.5 / 7 = 17.5 feet

hope this helps

have a god day bye

7 0
2 years ago
Read 2 more answers
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