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2 years ago

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What is the answer please

e="\sqrt{4}\div 2\sqrt{3}" alt="\sqrt{4}\div 2\sqrt{3}" align="absmiddle" class="latex-formula">

1 answer:

DiKsa [7]2 years ago

8 0

Answer:

Step-by-step explanation:

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Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c

natali 33 [55]

Answer: By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

In which A≡(6,8), B≡(2,2) and C≡(8,4)

And, D and E are the mid points of the line segments AB and BC respectively.

Prove: DE║AC and DE = AC/2

Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

Therefore, By mid point theorem,

coordinate of D are $(\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)$

Coordinate of E are $(\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)$

By the distance formula,

$DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}$

$AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}$

By the slope formula,

Slope of AC = $\frac{4-8}{8-6} = \frac{-4}{2} = -2$

Slope of DE = $\frac{3-5}{5-4} = \frac{-2}{1} = -2$

Statement Reason

1. The coordinate of D are (4,5) and 1. By the midpoint formula

the coordinate of E are (5,3)

2. The length of DE = √5 2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the 3. By the slope formula

slope of AC = -2

4. DE║AC 4. Slopes of parallel lines are equal

7 0

3 years ago

Read 2 more answers

Can someone help me out ? Don't just guess the answer :(

Monica [59]

1) 2m+6 / m² + 7m - 12 + (m+2)/(m+4)

= 2(m+3) / (m+4)(m+3) + (m+2)/(m+4)

= 2/(m+4) + (m+2)/(m+4)

= 2+m+2 / (m+4)

= m+4 / m+4

= 1 [ Option A ]

Answer 2) 3/ (x+4) + 7/ (x-3)

= 3(x-3) + 7(x+4)/ (x² +x - 12)

= 3x-9 + 7x + 28 / (x² +x - 12)

= 10x + 19 / (x² +x - 12) [ Option A ]

Hope this helps!

5 0

3 years ago

Read 2 more answers

PLS HELP ME WITH THESE QUESTIONS!

kirill [66]

Answer:

(4, 1/4)

Step-by-step explanation:

Factoring the numerator and the denominator, we have:

6 0

2 years ago

Kayden brought 9 packs of paper for $27 how much will you pay for 11 packs of paper

zhuklara [117]

Answer: $33

Step-by-step explanation: Divide 27/9 which is $3

-so you pay $3 for each pack

-then to find how much you need to pay for 11 packs you just multiply 11*3=33

5 0

3 years ago

A PQR = A STU. Find the lengths of the sides PQ, TU, and SU.

Mariana [72]

measure using the object

3 0

3 years ago