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3 years ago

What are the coordinates of the endpoints of the midsegment for DEF that is parallel to DE

Mathematics

1 answer:

Nutka1998 [239]3 years ago

6 0

Answer:

$\left(\dfrac{x_D+x_F}{2},\dfrac{y_D+y_F}{2}\right),$ $\left(\dfrac{x_E+x_F}{2},\dfrac{y_E+y_F}{2}\right).$

Step-by-step explanation:

Let points D, E and F have coordinates $(x_D,y_D),\ (x_E,y_E)$ and $(x_F,y_F).$

1. Midpoint M of segment DF has coordinates

$\left(\dfrac{x_D+x_F}{2},\dfrac{y_D+y_F}{2}\right).$

2. Midpoint N of segment EF has coordinates

$\left(\dfrac{x_E+x_F}{2},\dfrac{y_E+y_F}{2}\right).$

3. By the triangle midline theorem, midline MN is parallel to the side DE of the triangle DEF, then points M and N are endpoints of the midsegment for DEF that is parallel to DE.

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Convert 0.15 g/mL to the unit g/L.

maxonik [38]

To convert milliliters to liter, multiply a converson factor of $\frac{1000ml}{L}$ which means that for every 1 Liter, there is exactly 1000 mL. Converting 0.15 g/mL, multiply the conversion factor to cancel out the unit of milliliters, as shown in the solution below:

$0.15 \frac{g}{mL} ( \frac{1000 mL}{L} ) = 150 g/L$

The answer is 150 g/L

4 0

3 years ago

Arnold skydives out of an airplane with a parachute. After he opened his parachute Arnold descended at 70feet per second. An obs

vivado [14]

Answer:

Arnold descended a distance of 5,250 ft after his parachute opened

Step-by-step explanation:

Here in this question, we want to know the distance Arnold descended after his parachute opened.

Mathematically, we know that distance = speed * time

In this case;

The speed is the rate at which he descended = 70 ft per second

Now the time is 1 minute and 15 seconds; since 1 minute is 60 seconds, then 1 minute and 15 seconds is 60 + 15 = 75 seconds

So what we are saying is he descended at a rate of 70 ft per second for 75 seconds

Thus, his distance of descent will be 70 ft per second * 75 seconds = 5,250 ft

4 0

3 years ago

Read 2 more answers

Simplify completely quantity 8 x minus 56 over quantity x squared minus 49 divided by quantity x minus 6 over quantity x squared

34kurt

Hello

So the question ask to simplify the said equation. In getting its answer base on that equation you must first factor out each of them then find out the common of them to cancel them out that could lead you to your answer. In my calculation, the answer is D. 8 open parentheses x plus 4 close parentheses over quantity x minus 6. I hope this would help you

Have a nice day

6 0

3 years ago

What is the true solution In 20+In 5=2 In x?

S_A_V [24]

Answer:

x = 10

Step-by-step explanation:

Using the rules of logarithms

• log x + log y ⇔ log(xy)

• log $x^{n}$ ⇔ n log x

• log x = log y ⇒ x = y

Given

ln20 + ln5 = 2 lnx , then

ln(20 × 5) = ln $x^{2}$

ln 100 = ln $x^{2}$ , hence

x² = 100 ( take the square root of both sides )

x = 10

7 0

3 years ago

At a local clothing store, Morgan finds they are having a storewide 40% off sale. She also has a $15 coupon which applies to her

LuckyWell [14K]

Morgan should first take the 40% off then apply the $15 coupon

Lets say her total was $150.

If you take the 40% off first, you get $90

150 * .6 = 90 (since you are taking off 40% you are still paying the rest of the 60% so you can just save extra steps by multiplying by .6 and not .4)

Now you subtract 15 from that value.

90 - 15 = 75 If Morgan takes the 40% off first and then applies the $15 dollar coupon, she has to pay $75.

If she applies the $15 coupon first, her total before the 40% is $135

150 - 15 = 135

The total will come out to be $81

$135 * .6 = 81

If Morgan takes the discount first before applying the coupon she has to pay less and saves the most money.

5 0

3 years ago