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bagirrra123 [75]
3 years ago
8

Test

Mathematics
1 answer:
patriot [66]3 years ago
5 0

Answer:

DF = 4

Step-by-step explanation:

See attachment for proper question

From the attachment, triangle DEF is an image of ABC

By comparing the position of the angles, the following sides are similar

AB to DE

AC to DF

BC to EF

By dividing the similar sides, we calculate the scale of dilation.

Scale = \frac{DE}{AB}

Scale = \frac{8}{4}

Scale = 2

To calculate DF, we make use of sides AC and DF as comparison:

Scale = \frac{DF}{AC}

Substitute 2 for Scale and 2 for AC

2= \frac{DF}{2}

Make DF the subject

DF = 2 * 2

DF = 4

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A, (-3,0)

Step-by-step explanation:

Just plug that one in and it works out.

5*-3+2*0= -15

2*-3-2*0= -6

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3 years ago
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konstantin123 [22]
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Hardest math question ever
ohaa [14]
<h2>Part a)</h2>

You can name planes by one letter or using three points belonging to it that are <u>not</u> on the same line.

Another name for plane X could be:

  • Plane ABF, Plane BCF or Plane ACF. You may also get different names by reordering the three letters.

<h2>Part b)</h2>

Coplanar means 'on the same plane'.

The points on the same plane as point A are:

  • B, C and F.

<h2>Part c)</h2>

Collinear means 'on the same line'.

Other points on the same line as point C are:

  • A or B.

<h2>Part d)</h2>

The line that intersects ED is:

  • AC, it can be also named AB or BC.

5 0
1 year ago
Which equation can be used to find the perimeter of a regular octagon with sides of length 12?
USPshnik [31]
Octagans have 8 sides.
Perimeter is thought of as the length a piece of string would be if it was layed around the edges of the shape.
There are 8 sides, each 12units in length.
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7 0
3 years ago
Select all possible values for x in the equation x^3=375?
Helga [31]
<h2>Hello!</h2>

The answers are:

The possible values for x in the equation, are:

First option, 5\sqrt[3]{3}

Second option,  \sqrt[3]{375}

<h2>Why?</h2>

To solve the problem, we need to remember the following properties of the exponents and roots:

a\sqrt[n]{b}=\sqrt[n]{a^{n}*b} \\\\\sqrt[n]{a^{m} }=a^{\frac{m}{n}}\\\\(a^{b})^{c}=a^{b*c}

Then, we are given the expression:

x^{3}=375

So, finding "x", we have:

x^{3}=375\\\\(x^{3})^{\frac{1}{3} } =(375)^{\frac{1}{3}}\\\\x=\sqrt[3]{375}=\sqrt[3]{125*3}=\sqrt[3]{125}*\sqrt[3]{3}=5\sqrt[3]{3}

Hence, the possible values for x in the equation, are:

First option, 5\sqrt[3]{3}

Second option,  \sqrt[3]{375}

Have a nice day!

7 0
3 years ago
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