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2 years ago

What percent of people surveyed from San Francisco wear Adidas shoes? Round to the nearest percent when necessary.

Mathematics

1 answer:

Mama L [17]2 years ago

6 0

Answer:

Step-by-step explanation:

Add 165 and 80 to get 245. 80 times 3 = 240.

So 80 is around 1/3 of 240. In other words it is around 33%

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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.

8 0

2 years ago

Im stuck please help solve these equasions much appreciated

borishaifa [10]

Answer:

Volume :

=1/3 a^2h

=1/3•1.5^2•50

= 104.16666666667 centimeters^3

Hope this helps you out and is what you were looking for! ☺

7 0

3 years ago

Answers:

ryzh [129]

Answers:

☆☆☆☆☆☆☆☆aTriangle ZYX
bTriangle YZX
cTriangle XZY
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2 years ago

Find f(-3) if f(x)=x^2+2x-1

valkas [14]

Here is the answer with my work !!

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1 year ago

A new type of pump can drain a certain pool in 3 hours. An older pump can drain the pool in 9 hours. How long will it take both

ale4655 [162]

Answer: Together the pool can be drained in 2 hours and 18 minutes.

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2 years ago

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