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2 years ago

The triangles shown below must be congruent.

Mathematics

2 answers:

IRISSAK [1]2 years ago

6 0

Answer: True

Step-by-step explanation:

In the given picture we can see that two angles ( $60^{\circ}\ and\ 61^{\circ}$ ) and one side (12) in both the given triangles are equal.

Therefore, by AAS congruence theorem, both triangles are congruent.

Hence, "the triangles shown must be congruent" is a true statement.

The AAS theorem (angle-angle-side) says that if two angles and any side of one triangle are equal to two angles and any side of other triangle, then the triangles are said to be congruent.

vova2212 [387]2 years ago

3 0

I think it is true, not sure though.

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hodyreva [135]

Answer:

$m$

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

step 1

Find the measure of arc EF

$m$

we have

$m$

substitute

$45\°=\frac{1}{2}(arc\ EF)$

$arc\ EF=90\°$

step 2

Find the measure of arc EH

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we have

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substitute

$49\°=\frac{1}{2}(arc\ EH)$

$arc\ EH=98\°$

step 3

Find the measure of arc FGH

$arc\ FGH=360\°-(arc\ EH+arc\ EF)$

substitute the values

$arc\ FGH=360\°-(98\°+90\°)$

$arc\ FGH=172\°$

step 4

Find the measure of angle FEH

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we have

$arc\ FGH=172\°$

substitute

$m$

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2 years ago

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kari74 [83]

Answer:

$5(d - 4)$

Step-by-step explanation:

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Total amount paid altogether by the five friends = $5d + 5(2.5d) + 5(d - 4)$

From this breakdown above, the total amount paid by the 5 friends for their meal tickets = $5(d - 4)$

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melamori03 [73]

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