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valina [46]
3 years ago
8

How do I solve this?

Mathematics
2 answers:
seraphim [82]3 years ago
4 0

Answer:

See below.

Step-by-step explanation:

Use the converse of the Triangle Proportionality Theorem.

If a segment divides two sides of a triangle into proportional lengths, then the segment is parallel to the third side of the triangle.

Here we have triangle CED.

Segment AB divides sides EC and ED.

Side EC is divided into segments EA and AC.

Side ED is divided into segments EB and BD.

Now we check the ratios of the lengths of the segments.

Is EA/AC = EB/BD?

EA/AC = 3.75/5 = 0.75

EB/BD = 4.5/6 = 0.75

Since the ratios are equal, the segment, AB, is parallel to the third side of the triangle, CD.

Mashcka [7]3 years ago
3 0
AB and CD are parallel because when 2 lines in a plane are parallel it means they do not intersect
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nikklg [1K]

multiply the ones in bracket by the L

T = 7× L + L × RS

T = 7L + LRS

making S the subject by transferring 7L to the left hand side of the equation.

thus

T - 7L = LRS

dividing through by LR

\frac{T}{LR}  -  \frac{7L}{LR}  = S

S=  \frac{T}{LR}  -  \frac{7}{R}

7 0
3 years ago
Let f(x)=x^2+2 and g(x)=2x,find (fog)( x)
Artist 52 [7]

Answer:

<h2>(fog)( x) = 4x² + 2</h2>

Step-by-step explanation:

f(x) = x² + 2

g(x) = 2x

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We have

(fog)( x) = ( 2x)² + 2

We have the final answer as

<h3>(fog)( x) = 4x² + 2</h3>

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3 years ago
leigh has a piece of rope that is 6 2/3 feet long. how do you write 6 2/3 as a fraction greater than 1?
AnnZ [28]

Answer:

\frac{20}{3}\ ft

Step-by-step explanation:

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8 0
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PLEASE HELP <br> 10TH GRADE GEOMETRY
FromTheMoon [43]

Answer:

perimeter = 4 \sqrt{26}

Step-by-step explanation:

Using the distance formula

AB = \sqrt{(-4 - 1)^{2} + (3 - 4)^{2} }

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     = \sqrt{25 + 1}

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The perimeter of a square is 4 times the length of one side.

So,  perimeter = 4 \sqrt{26}

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3 years ago
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Given points (-2,3 and (9,3) which expression can be used to find the distance between the two points
Karolina [17]

Answer:

d = 11

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
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<u>Algebra II</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

Point (-2, 3)

Point (9, 3)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.

  1. Substitute [DF]:                    d = \sqrt{(9+2)^2+(3-3)^2}
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  3. Simplify:                                d = \sqrt{(11)^2}
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