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Evgen [1.6K]
3 years ago
8

What is the correct answer for this equation. x-23=5(2x+3)-2

Mathematics
1 answer:
natali 33 [55]3 years ago
5 0

So you're find x right so x = -4

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What is the value of x and the length of segment DE?
aniked [119]

Answer:

x = 6.6; DE = 16.6  

Step-by-step explanation:

Assume the diagram is like the figure below.

1. Calculate the value of x

In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the triangle into two similar triangles.

Thus, ∆CDF ~ ∆FDE, and

\begin{array}{rcl}\dfrac{CD}{DF} &=& \dfrac{FD}{DE}\\\\\dfrac{5}{9} &=& \dfrac{9}{2x + 3}\\\\5(2x + 3) & = &81\\10x + 15 & = & 81\\10x & = & 66\\x & = & \mathbf{6.6}\\\end{array}

2. Calculate the length of DE

DE = 2x + 3 = 2(6.6) + 3 = 13.2 + 3 = 16.2

4 0
4 years ago
Find the area of the figure. Round your answer to the nearest tenth.
Ulleksa [173]

Answer:

Area of the parallelogram= 10\sqrt{3} m^2

Step-by-step explanation:

Area of a parallelogram = Length * Perpendicular height

To find the perpendicular height of the parallelogram:

Using given angle 60° in the triangle.

sin(60)=\frac{Perpendicular}{Hypotenuse}

\frac{\sqrt{3} }{2}=\frac{Perpendicular}{4}  \\\\Perpendicular=\frac{4\sqrt{3} }{2} \\\\Perpendicular=2\sqrt{3} m

Area of the Parallelogram:

                                           =5*2\sqrt{3}\\\\ =10\sqrt{3}

Area of the parallelogram= 10\sqrt{3} m^2

7 0
4 years ago
Using the linear equation, y = mx +b and solve for B<br> (7,1)(-12,-6)
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

first we need to find the slope bu using the slope formula and ur two sets of points

slope = (y2 - y1) / (x2 - x1)

(7,1)...x1 = 7 and y1 = 1

(-12,-6)....x2 = -12 and y2 = -6

now we sub

slope = (-6 - 1) / (-12 - 7) = -7/-19 = 7/19

now...in y = mx + b form, the slope will be in them position

y = mx + b

slope(m) = 7/19

use either of ur points.....(7,1)...x = 7 and y = 1

now we sub and find b, the y int

1 = 7/19(7) + b

1 = 49/19 + b

1 - 49/19 = b

19/19 - 49/19 = b

- 30/19 = b <======= ur y int

so ur equation is : y = 7/19x - 30/19

8 0
4 years ago
Bus 26 takes 2 3/4 hours to complete its bus route. How many times can Bus 26 complete its route in 16 hours?
mrs_skeptik [129]

Answer:

i dont understand the question

Step-by-step explanation:

8 0
3 years ago
Which statement describes the right of citizens to due process of law?
miskamm [114]

Answer:

Step-by-step explanation:

Using this data, create a dot plot where each dot represents a weekend.

7 0
3 years ago
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