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Bond [772]
3 years ago
13

Mikhail draws triangles ABC and FED, as shown below, and claims that the two triangles are similar but not congruent.

Mathematics
1 answer:
stiv31 [10]3 years ago
4 0

Answer:

First definitions:

Two triangles are congruent if the corresponding sides are all the same length (one triangle can be a rotation, translation or reflection of the other)

Two triangles are similar if the corresponding interior angles are equal and the corresponding sides are proportional. (so one triangle can be a rotation, translation, reflection or contraction/dilation of the other)

You can notice that two congruent triangles are similar, but two similar triangles are not necessarily congruent.

Then two methods to show that the triangles are similar but not congruent are:

1) show that a sequence of rotations, reflections, translations, and dilations carries triangle ABC onto triangle FED

If we have a dilation, then the sidelengths of the corresponding sides can not be equal, wich implies that the triangles are not congruent.

2) show that 2C 2D and that all corresponding sides are proportional

If the sides are proportional, then it is similar, but not congruent.

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Dad is getting food ready for my birthday party! Including me, there will be 14 people at the party. Dad is baking cupcakes for
AlexFokin [52]

Answer:

5 batches

Step-by-step explanation:

fist to find how many cupcakes you need multiply the amount of people times amount of cupcakes per person

(if rule is 5 per person)

14x5=70

then you want to find how many batches to make

70/16=4.375

but you and make 0.375 batches so just make 1 more batch

so you should tell your dad to bake 5 batches

8 0
3 years ago
Find a cubic function with the given zeros. Square root of seven. , - Square root of seven. , -4
yan [13]

Answer:

y= x^{3} +4x^{2}-7x-28

Step-by-step explanation:

We have to find a cubic function of x whose zeros are at x = √7, x = -√7 and at x = -4.

Therefore, the factors of the function will be (x - √7), (x + √7), and (x + 4)

Hence, the equation will be y = (x - √7) (x + √7) (x + 4)

⇒ y = (x^{2} -7)(x +4)

⇒ y= x^{3} +4x^{2}-7x-28 (Answer)

8 0
3 years ago
Find the coefficient of x² in the expansion of (x - 2/x)⁶
Snowcat [4.5K]

Answer:

I think answer for ur question is 60

8 0
3 years ago
CAN SOMEONE HELP ME OUT ASAP!!! PLEASE
Maurinko [17]

Answer:

-6.5)7 1/4)6.57)-5 58/100)9 1/3

Step-by-step explanation:

I have no explanation

5 0
3 years ago
What valur of x makes the equation below true? 9^5 * 9^7=9^x
klasskru [66]

Answer:

x=12

Step-by-step explanation:

(9^5)(9^7)=9^x

282429536481=9^x

<em>Step 1: Flip the equation.</em>

9^x=282429536481

<em>Step 2: Solve Exponent.</em>

9^x=282429536481

log(9^x)=log(282429536481)(Take log of both sides)

x*(log(9))=log(282429536481)

x=log(282429536481)/log(9)

x=12

8 0
2 years ago
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