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3 years ago

PLEASE HELP WILL MARK BRAINLIST

Mathematics

1 answer:

Gelneren [198K]3 years ago

3 0

Answer:

Step-by-step explanation: i took it

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Jennie makes quilts. She can make 7 quilts with 21 yards of material. How many yards of material would be required to make 12 qu

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$\frac{7}{21} = \frac{12}{yards} \\ \\ 7*yards=21*12 \\ \\ 7yards=252 \\ \\ yards=36$

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Prove that the triangle EDF is isosceles. Give reasons for your answer.

Gekata [30.6K]

Answer:

$\triangle EDF$ is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are given the following things:

$\angle EDF = y$

$\text{External }\angle DFG = 90 +\dfrac{y}{2}$

Let us try to find out $\angle E$ and $\angle DFE$ . After that we will compare them.

Finding  $\angle DFE$ :

Side EG is a straight line so $\angle GFE = 180$

$\angle GFE$ is sum of internal $\angle DFE$ and external $\angle DFG$

$\angle GFE = 180 = \angle DFE + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)$

Finding  $\angle E$ :

Property of external angle: External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external $\angle DFG$ = $\angle E + \angle EDF$

$\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2} -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)$

Comparing equations (1) and (2):

It can be clearly seen that:

$\angle DFE = \angle E =90-\dfrac{y}{2}$

The two angles of $\triangle EDF$ are equal hence $\triangle EDF$ is isosceles.

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3 years ago

Oliver buys 4 pineapples. Each pineapple is

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Answer:

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Step-by-step explanation:

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Marty drew a model of the school library, the total area of the floor is 132 square centimeters, What is the area of the shaded

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Step-by-step explanation:

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Which expression is equivalent to (4 + 6i)2?

larisa86 [58]

$\bf \textit{recall that }i^2=-1\\\\
-------------------------------\\\\
(4+6i)^2\implies (4+6i)(4+6i)\implies 16+24i+24i+36i^2
\\\\\\
16+48i+36(-1)\implies 16+48i-36\implies -20+48i$

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