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deff fn [24]
1 year ago
12

What congruence rule does the triangle follow? Please write the congruence statement triangle EFH is congruent to ________?

Mathematics
1 answer:
Yuliya22 [10]1 year ago
5 0

We can see here two triangles, and we can notice the following:

1. Since H is the midpoint of the segment EG, we can say that EH and HG are congruent segments.

2. Since these two triangles, namely, EFH and GFH share the same segment (HF), this side is also congruent to these two triangles.

3. Since EH is congruent to HG, and FH is congruent to itself, then EF is congruent to GF.

4. Angle E is congruent to angle G.

Therefore, we can say that:

Since we have that:

a. EF is congruent to GF

b. EH is congruent to GH

c. Angle E is congruent to angle G

We can conclude that the congruence rule, in this case, is SAS (Side-Angle-Side), because<em> if two sides and the included angle are congruent to the corresponding parts of the other triangle, the triangles are congruent.</em>

<em>We also see that the three sides are congruent (and in this case, we can also conclude that the triangles are congruent by the rule SSS (side-side-side).</em>

Likewise, we can also conclude that the triangle EFH is congruent to triangle GFH.

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The hypotenuse of a right triangle is 13.0, and one leg is 9.0 units shorter than the other. Find the dimensions of the figure (
Darina [25.2K]
Let, one leg be x units. 
since the other leg is 9.0 units shorter than the other, 
the measure of the other leg =x-9 
hypotenuse =13.0 units 
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.  
x^2 +(x-9)^2 =13^2 
x^2 + x^2 -18x +81 = 169 
2x^2-18x-88=0 
Divide the whole equation by 2 
x^2 - 9x -44 =0  
Let's use the quadratic formula to find the roots. 
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a  
a=1 b=-9 c=-44 
x= [9±sqrt(81+176)]/2
 =[9±sqrt(257)]/2
 =[9±16.03]/2
 =25.03/2 or -7.03/2
 length of a triangle cannot be negative,
 Therefore, x=25.03/2 =12.52 
 one leg =12.5 units
 other leg =12.52-9 =3.5 units
4 0
3 years ago
I AM BEGGING, PLEASE HELP ME. CAN SOMEONE PLEASE HELP ME!
Temka [501]

Answer:

37.5

Step-by-step explanation:

180-75 = 105

180 is the sum of all the angle in a triangle

180-105 = 75

75/2 = x becuz the triangle is icoceles

=37/5

Hope this helps :) Giving me brainiest would help a lot :))

8 0
2 years ago
14.1-191<br> Is this the answer?
enyata [817]
I don’t know if this is what you’re asking but 14.1-191 = -176.9
4 0
2 years ago
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mr_godi [17]
The third one :) I hope I did it right
3 0
3 years ago
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Tracy recieves payments of $X at the end of each year for n years. The present value of her annuity is 493. Gary receives paymen
vladimir1956 [14]

Answer:

v = 1/(1+i)

PV(T) = x(v + v^2 + ... + v^n) = x(1 - v^n)/i = 493

PV(G) = 3x[v + v^2 + ... + v^(2n)] = 3x[1 - v^(2n)]/i = 2748

PV(G)/PV(T) = 2748/493

{3x[1 - v^(2n)]/i}/{x(1 - v^n)/i} = 2748/493

3[1-v^(2n)]/(1-v^n) = 2748/493

Since v^(2n) = (v^n)^2 then 1 - v^(2n) = (1 - v^n)(1 + v^n)

3(1 + v^n) = 2748/493

1 + v^n = 2748/1479

v^n = 1269/1479 ~ 0.858

Step-by-step explanation:

6 0
3 years ago
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