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3 years ago

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Q1: In the isosceles triangle below the legs are twice the

1 answer:

Amanda [17]3 years ago

5 0

Answer:

The base of the triangle has a size of 20 cm, while each side has a size of 40 cm.

Step-by-step explanation:

An isosceles triangle is one that has two sides with an identical value, and one side with a different value from the previous ones. Thus, in the case the base will have a different value from the sides. In this regard, the perimeter (the sum of the sides) of the triangle is 100 cm, and the longest sides are twice the size of the base. Therefore, to determine the value of each side of the triangle, the following calculation must be performed:

X + 2X + 2X = 100

5X = 100

X = 100/5

X = 20

Thus, the base of the triangle has a size of 20 cm, while each side has a size of 40 cm.

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2. In the circle shown, secants PE and PF have been drawn such that mCE  82 , mDF  98 and the ratio 3. In circle O, tangent

Andrew [12]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The arc PR is $\theta _{PR} = 84$

Step-by-step explanation:

A descriptive diagram of the diagram given in the question is shown on the first uploaded image

In the circle tangent $\= {M \= Q}$ , secant $PE$ and chord $PF$ are drawn

given that $\theta _ {MPQ} = 102^o$ , $\theta _{M} = 60^o$

The objective is to determine PR

From the diagram we see that MQ is a straight which implies that the the angle

$\theta_{NPM} = 180 -102$

$\theta_{NPM} = 78^o$

Now looking at triangle NMP we see that

$\theta _{MNP} = 180 -[ \theta_{NMP} + \theta _{NPM}]$

$\theta _{MNP} = 180 - [60 + 78 ]$

$\theta _{MNP} = 42 ^o$

Now the measure of an inscribed angle is half the measure of its arc intercepted, this statement is the inscribed angle theorem

So with the knowledge

Then

$\theta_{RNP} = \frac{1}{2} \theta_{PR}$

Looking at the diagram we see that

$\theta _{MNP} = \theta_{RNP} = 42 ^o$

$42 = \frac{1}{2} \theta _{PR}$

$\theta _{PR} = 2 * 42$

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3 years ago

Rocío trabaja en una peluquería, le pagan $50 por corte realizado, adicionalmente recibe $25 al día. Si el día miércoles recibió

skad [1K]

Usando conceptos de funciones lineales, se encuentra que hizo 5 cortes.

----------------

Una funcion lineale tiene el seguiente formato:

$y(x) = ax + b$

En que:

a eres lá inclinacion, o sea, lo que es pago por cada corte.
b eres el intercepto, o sea, lo pagamiento fixo por día.

----------------

Pagan $50 por corte realizado, o sea, $a = 50$ .
$25 fixo al día, o sea, $b = 25$

Entonces, la funcion de su recibimiento y, como funcion de su numero de cortes x, es da por:

$y(x) = 25 + 50x$

----------------

Recibió $275, o sea, $y(x) = 275$

Entonces, el numero de cortes es:

$y(x) = 25 + 50x$

$25 + 50x = 275$

$50x = 250$

$x = \frac{250}{50}$

$x = 5$

Realizó 5 cortes.

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