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4 years ago

Consider the diagram below. which of the following statements are correct? select all that apply

Mathematics

2 answers:

Lelechka [254]4 years ago

8 0

Answer:

• ΔCFB ~ ΔEDB by the AA similarity

• mCE = 46°

Step-by-step explanation:

No lengths are marked equal on the diagram, so we cannot assume any of the chords is the same length as any other. Then there is no evidence that the conditions for SAS congruence are met for the given triangles. Likewise, there is no evidence that arcs DE and CF are the same length, which they would have to be to have measure 108°.

The angles with vertices C and E subtend the same arc, so have equal measures. Likewise for the angles with vertices D and F. The angles CBF and EBD are vertical angles, so also congruent. Hence the two triangles are AA similar.

The angle labeled 72° is half the sum of the measures of arcs CE and DF, so we have ...

(CE + 98°)/2 = 72°

CE = 144° -98° = 46° . . . . . multiply by 2 and subtract 98°

natali 33 [55]4 years ago

6 0

Answer:

Answer:

• ΔCFB ~ ΔEDB by the AA similarity

• mCE = 46°

Step-by-step explanation:

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1.Encuentra de dos formas diferentes el área de las figuras mostradas en cada literal:

MA_775_DIABLO [31]

Answer:

Cuadrilátero A: $A = y^{2}+4\cdot y +4$

Cuadrilátero B: $A = a^{2}+6\cdot a + 9$

Step-by-step explanation:

Existen dos formas distintas de determinar las áreas de cada cuadrilátero:

(i) <em>Obtener el área de cada cuadrado y sumar los resultados.</em>

(ii) <em>Calcular los lados del cuadrilátero grande y determinar el área. </em>

Cuadrilátero A

Método (i)

$A = y^{2}+2\cdot y +4+2\cdot y$

$A = y^{2}+4\cdot y +4$

Método (ii)

$A = (y+2)\cdot (y+2)$

$A = y^{2}+4\cdot y + 4$

Cuadrilátero B

Método (i)

$A = a^{2}+3\cdot a +9 + 3\cdot a$

$A = a^{2}+6\cdot a +9$

Método (ii)

$A = (a+3)\cdot (a+3)$

$A = a^{2}+6\cdot a + 9$

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3 years ago

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Musya8 [376]

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

The volume of a cylinder can is 1.54 litre and area of base is 77cm^2 Find its height

goblinko [34]

Answer:

The height is 20 cm.

Step-by-step explanation:

First, we have to know that the volume formula is V = πr²h and the base area of cylinder is a circle. So we can let πr² be 77 cm² . Then we have to substitute the following values into the formula :