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kirill115 [55]
3 years ago
5

Which triangles must be congruent?

Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Answer:

Δ ABC ≅ Δ FDE ≅ Δ GIH

Step-by-step explanation:

Between Δ ABC and Δ FDE, given that  

(i) AB = DF  

(ii) BC = HI and DE = HI, hence, BC = DE

(iii) ∠ B = ∠ D

Hence, by Side-Angle -Side i.e. SAS criteria Δ ABC ≅ Δ FDE

Again, between Δ ABC and Δ GIH, given that  

(i) AB = GI

(ii) BC = HI and  

(iii) ∠ B = ∠ I.

Hence, by Side-Angle-Side i.e. SAS criteria Δ ABC ≅ Δ GIH.

Therefore, Δ ABC ≅ Δ FDE ≅ Δ GIH (Answer)

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3 0
3 years ago
Read 2 more answers
would someone be able to explain to me how to solve these problems? I don't need the solutions, I just need an explanation. I ne
Leni [432]
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a^2 - b^2 = (a + b)(a - b)
x^2 - 49 = 0 
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so either x + 7 = 0 or x - 7 = 0
giving x = -7  and 7.
Number 7 reduces to 3x^2 =12, x^2  = 4 so x = +/- 2
Number 8  take out GCf (d) to give 
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2x^2 - 5x + 2
multiply first coefficient by the constant at the end 
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8 0
3 years ago
Student Council sponsors weekly dances at their school on Friday nights. The admission price for each person is $4 for Student C
Morgarella [4.7K]

Answer:

$110

Step-by-step explanation:

So first you have to do 15*4. We get the 4 from the admission fees and the 15 from the number of dances they attend. From this answer we can see the total of money they will be paying for admission for the 15 dances.

15*4=$60

However, our answer isn't just $50 as we are also told membership costs $50. So no we add $50 to $60, which gives us an answer of $110, which is the amount the member will pay if they attend 15 dances during the school year.

8 0
2 years ago
Pls help 0.5a = 2a + 3
spayn [35]

Answer:

-2

Step-by-step explanation:

0.5a=2a+3

a=-2

PLEASE MARK BRAINLIEST

5 0
2 years ago
If the measure 3= (2y+20) degrees, and the measure of 5= (210-4y) degrees, what is the measure of 4?
Sidana [21]

Answer:

110°

Step-by-step explanation:

y = 25

Angle 5 equals Angle 4 because of the Alternate Angles Postulate.

Angle 4 equals 110°

6 0
2 years ago
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