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Pavlova-9 [17]
2 years ago
11

If RT is greater than BA, which statement is true? By the converse of the hinge theorem, mC = mS. By the hinge theorem,TS > A

C. By the converse of the hinge theorem, mS > mC. By the hinge theorem, BA = RT.

Mathematics
2 answers:
Yuliya22 [10]2 years ago
8 0
I found the corresponding image of this problem.

Hinge theorem states "If 2 triangles have 2 sets of congruent sides, the larger included angle will have a longer side"

Converse Hinge theorem states, "<span>If the two sides of one triangle are congruent to two sides of another triangle, and the third side of the first triangle is greater than the third side of the second triangle, then the included angle of the first triangle is larger than the included angle of the second triangle."</span>

<span>By the converse of the hinge theorem, mC = mS. FALSE. EITHER ANGLE IS LARGER THAN THE OTHER

By the hinge theorem,TS > AC.  FALSE. CONGRUENT SIDES BASED ON THE GIVEN IMAGE.

By the converse of the hinge theorem, mS > mC. TRUE. 

By the hinge theorem, BA = RT. FALSE. 3RD SIDE OF EITHER TRIANGLE WILL BE LONGER THAN THE OTHER.


</span>

ioda2 years ago
4 0

Answer:

C

Step-by-step explanation:

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4x+y+2z = 10.90 ......... 2

If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70, this is expressed as:

5x+2y+x = 13.70 .......... 3

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5x+2y+z = 13.70 .......... 3

Reduce the number of equations

multiply equation 1 by 2 and subtract from equation 2

equation 1 * 2 will give:

4x+6y+8z = 30.6 ........... 4

eqn (4)-eqn(2)

6y-y + 8z-2z = 30.6-10.90

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Also multiply equation 2 by 5 and eqn 5 by 4 and subtract from each other.

eqn(2)* 5 will give:

20x+5y+10z = 54.5 .......... *

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20x+8y+4z = 54.8.......**

Subtsrct ** from *

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Equate 5 and 6 and solve:

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y = 2.06

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<em>Therefore 1 apple costs $1.22, 1 strawberry costs $2.06 and 1 orange costs $1.67</em>

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