All categories

3 years ago

P is the midpoint of DE¯¯¯¯¯DE¯ , DP=3x+2DP=3x+2, and DE=10x−12DE=10x−12. What is the length of DP¯¯¯¯¯DP¯ ?

2 answers:

5 0

3x+2 mulitiply by 2. you will get 6x+4 now put 10x-12 like so 6x+4=10x-12. then use like terms and subtract 6x from 10x. you will get 4x-12=4. then add 12 to cancel out then divide 16 by 4 and then x=4 then plug in 4 to replace x in 3x+2.
The answer is 14

Ne4ueva [31]3 years ago

3 0

Answer:

14 units

Step-by-step explanation:

done the topic

You might be interested in

InWrite the equation of the line that passes through (7, - 4) and (- 1, 2) slope- intercept form.

blondinia [14]

Answer:

General Equation of a Line

$General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\ equation \\ is \\ y=\frac{-8x}{6} + 52$

Step-by-step explanation:

Find the slope first and then place the values on the general formula. The final step is to solve for y

5 0

3 years ago

Find the equation of the line which is parallel to y = 4x + 3 and goes through the point (4, 5)

skad [1K]

Answer:

y = 4x - 11

Step-by-step explanation:

The given line has a slope m = 4.

We know parallel lines have equal slopes.

Use point - slope equation and substitute the coordinates of the given point to get:

y - 5 = 4(x - 4)
y - 5 = 4x - 16
y = 4x - 16 + 5
y = 4x - 11

7 0

2 years ago

Lola's age is 14 more than 6 times Juan's age. The sum of their ages is 35. How old is each?

earnstyle [38]

35 - 14 = 21

3 * 6 = 18

3.5 * 6 = 21

Thus Juan is around the age of 3.5 and Lola is 31.5 I believe

Im not quite sure however I think this is the answer, I hope it helps ^-^

4 0

3 years ago

50 points! Someone actually help instead of putting random answers! Random answers will be reported

In-s [12.5K]

If you only want to see the way i do it to get the answer without seeing my explanation ignore sentences with symbol '#'

<h2>Answer</h2>

•Pic on the left

x = 8.36

y = 140.18°

• Pic on the right

x = 110°

• This one for the pic on the left

#Since the total degree of a triangle is 180° and one of the side known 90° (L) so the rest must be 90° (180° - 90° = 90°)

#known that the other side of triangle degree is (5x - 2)° and 6x° so... u can find the x! :D

90 = (5x - 2) + 6x

90 = 11x - 2

90 + 2 = 11x

92 = 11x

x = 92 : 11

x = 8.36 (2 decimal places)

#Now you know the x, you can now find the degree

#degree of (5x - 2)

5x - 2 =

5(8.36) - 2 =

41.81 - 2 = 39.81

#Since the y° is in the other side of the line of degre 39.81°, you can find it by minus it with 180° (straight line with no degree is 180°)

180° - 39.81° = 140.18

•This one for the pic on the right

#Lol this one is easy. I already told you before that the straight line degree is 180° and you can find one of the side if you know one of the degree side, so you can find it.

# Also as i said before, total triangle degree is 360°

#Find the degree of the other side of x° (only can find the degree of other side x because its inside the triangle)

Degree = 180° - 80° - 30° = 70°

#Now you can get x

x = 180° - 70° = 110°

<h2>For moderators that see this</h2>

#Moderators please don't be mean, dont delete my answers just for approval from your senior or just to get the biggest moderation daily rank. This answer is long, how can you just instanly delete it? :(

7 0

3 years ago

Read 2 more answers

A right rectangular prism has a volume of 144 cubic meters. The prism is 8 meters long and 3 meters high. What is the width of t

Cerrena [4.2K]

Answer:

The possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

where

B is the area of the rectangular base

h is the height of the prism

In this problem we have

substitute and solve for B

-----> area of the rectangular base

therefore

The possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers