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Nadya [2.5K]
2 years ago
6

I WILL GIVE BRAINIEST IF ANSWERED WITH CLEAR EXPLANATION AND ANSWERS.

Mathematics
1 answer:
Montano1993 [528]2 years ago
8 0

Answer:

285 ft²

Step-by-step explanation:

Hello There!

The figure shown is a composite figure so in order to find the total area we are going to need to split the irregular figure into two regular figures:

A parallelogram with the following dimensions

base = 15

height = 7

and a trapezoid with the following dimensions

base 1 = 11

base 2 = 13 (found by subtracting the height of the parallelogram ( 7 ) from the total height of the composite figure ( 20 ) 20 - 7 = 13 so the length of base 2 is 13 ft)

height = 15

Now that we have identified each dimensions of the two regular figures we need to find the area of each individual figure

For the parallelogram

The area of a parallelogram can simply be found by multiplying the height and the base

So A = 15 * 7

15 * 7 = 105 so the area of the parallelogram is 105 square feet

For the Trapezoid

The area of a trapezoid can be found by using this formula

A=\frac{a+b}{2} h where a and b = bases and h = height

So using the information that we had found about the trapezoids dimensions we plug in the values

A=\frac{11+13}{2} 15\\11+13=24\\\frac{24}{2} =12\\12*15=180

So the area of the trapezoid is 180 square feet

Finally we add the areas of the two regular figures

180 + 105 = 285

so we can conclude that the area of the composite figure is 285 ft²

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nalin [4]

Answer:

The range is all the y values.

Therefore, the range is : {-4,-2,2}.....I realize choice c has all the y values listed, however, if u have repeating y values, u only have to list it once.

Step-by-step explanation:

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3 years ago
Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
Anettt [7]

The reflection transformation in the question is a rigid transformation,

therefore, the image and the preimage are congruent.

The statements that are true are;

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Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

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Therefore;

AB = RS

BC = ST

AC = RT

Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

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m∠ABC = m∠RST by the definition of congruency

∠BCA ≅ ∠STR

m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

  • <u>AB = RS</u>; Image formed by rigid transformation
  • <u>∠ABC ~ ∠RST</u>; Definition of similarity
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  • <u>m∠BAC = m∠SRT</u>; by the definition of congruency

Learn more here:

brainly.com/question/11787764

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If a line has a slope of 4 and contains the point (-2, 5), what is its equation in point-slope form?
Sveta_85 [38]

Answer:

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Step-by-step explanation:

In this question, we want to write the equation of the line using the point slope form.

Mathematically, the point slope form can be represented as;

(y-y1) = m(x - x1)

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Plugging these values into the equation, we have;

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6 + 9x.....a common factor in both terms is 3

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15 yd<br> 19 yd<br> Area = <br> Parallelogram
jenyasd209 [6]

15*19=285

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5 0
3 years ago
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