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2 years ago

Line segment EF is shown on a coordinate grid:

Mathematics

2 answers:

Fittoniya [83]2 years ago

7 0

The correct answer would be B E'F' and EF are equal in length.

3241004551 [841]2 years ago

4 0

Answer: B. E'F' and EF are equal in length.

Step-by-step explanation:

A rotation is a kind of rigid transformation which produces the image of same shape and size after rotating it by some degrees .

The rotation has two main properties:-

1. Rotations preserve size ( includes sides and angles).

2. Lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal length.

Given : The line segment is rotated 180 degrees counterclockwise about the origin to form E'F'.

Then, E'F' and EF are equal in length. ( by property 1.)

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2 years ago

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One angle of the following triangle measures 2x. How many degrees does that angle

ella [17]

Given info:- In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.

Explanation:-

Let the angles be 2x, x+15 and 2x+10 respectively.

∵ Sum of the three angles of a triangle is 180°

∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]

→2x + x+15 + 2x+10 = 180°

→ 2x + x + 2x + 15 + 10 = 180°

→ 3x + 2x + 15 + 10 = 180°

→ 5x + 15 + 10 = 180°

→ 5x + 25 = 180°

→ 5x = 180°-25

→ 5x = 155°

→ x = 155°÷5 = 155/5 = 31.

Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.

∴ ∠A = 2x = 2(31) = 62°

∠B = x+15 = 31 + 15 = 46°

∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.

3 0

2 years ago

What is the multiple zero and multiplicity of f(x) = x3 + 10x2 + 25x?

elena-s [515]

Answer:

The multiple zero is $x=-5$ .

The multiplicity is 2

Step-by-step explanation:

The given function is

$f(x)=x^3+10x^2+25x$

To find the zero of this function, we equate it to zero.

$\Rightarrow x^3+10x^2+25x=0$

We factor to obtain;

$x(x^2+10x+25)=0$

Observe that; the expression within the parenthesis is a perfect square.

This implies that;

$x(x+5)^2=0$

This implies that;

Either $x=0$ or $(x+5)^2=0$

$(x+5)^2=0$ has a multiple zero which is

$x=-5$ and its multplicity is 2.

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3 years ago

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suter [353]

Answer: 15 yards

Step-by-step explanation:

From the question, we are given the information that Lucia has 18 pieces of ribbon that she uses to decorate presents and that the length of one ribbon is 5/6 of a yard.

Therefore, the number of yards of ribbon that Lucia has will be gotten by multiplying 5/6 by the total pieces of ribbon. This will be:

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