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3 years ago

HELP I NEED THE ANSWERS

Mathematics

1 answer:

love history [14]3 years ago

4 0

Answer:

I attached a picture below of what the lines of symmetry are.

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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

What is the length of the figure?

nadezda [96]

There are two ways to do this. One is by adding up the squares, which takes a while. The other way is if you notice that the length along the bottom is the same as that long the top, and the same is true for the sides. While it does not appear this way at first, imagine that that was the floor plan of a house. If you looked at it from the side, you wouldn't see the dent in the corner, only one side. Since the length of the top is 13 units, from -7 to 6, and the side is also 13 units, from -6 to 7, the answer is $13*2 + 13* 2 = 26 + 26 = 52$

52 units long.

4 0

3 years ago

A recipe calls for 2 1/2cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe, how much flour should

ANTONII [103]

Answer:

l''kkk 1/2 cups

Step-by-step explanation:

8 0

3 years ago

Maggie wants to buy 4 roses , 6 carnations, and 9 tulips . She estimates that she will spend about $14 on these flowers. Do you

Andrew [12]

Well, 4 + 6 + 9 = 19, so $14 is a reasonable answer. If we have $19 assuming that each flower costs $1, then if the estimate is $14, that means that each flower is less than $1, which makes sense. Assuming that all of the flowers cost the same, then each flower would be about 74 cents. This would make sense considering that you are buying tulips, roses, and carnations. I really hope this helps; if not, good luck on your homework.

4 0

4 years ago

Convert <br><br>a. 10 kg into tonne<br>b. 9.8 kg into gram<br>

Karo-lina-s [1.5K]

For it’s A= 0.01
And for B it’s B= 9800

6 0

3 years ago