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zloy xaker [14]
2 years ago
13

Please help!!! Find the distance CD rounded to the nearest tenth.

Mathematics
1 answer:
Kamila [148]2 years ago
6 0

Answer:

D=5

Step-by-step explanation:

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Points A, B, C, and D are collinear and positioned in that order. Find the length indicated 7) Find BC if BC = 2x + 4, AD = 28,
belka [17]

Answer:

  7)  BC = 10

  8)  BD = 20

Step-by-step explanation:

7) The segment addition theorem tells you ...

  AB +BC +CD = AD

  (3x+2) +(2x+4) +(3x-2) = 28

  8x +4 = 28 . . . . collect terms

  8x = 24 . . . . . . . subtract 4

  x = 3 . . . . . . . . . divide by 8

  BC = 2x+4 = 2(3) +4

  BC = 10

__

8) AB +BD = AC +CD

  (2x -14) +(-7 +3x) = (2x -3) +(9)

  5x -21 = 2x +6

  3x = 27

  x = 9

  BD = -7 +3x = -7 +3(9)

  BD = 20

7 0
3 years ago
The model below represents the equation 3x+2=2x-5,
Leno4ka [110]

Step-by-step explanation:

Hey there!

The equation is;

3x + 2 = 2x - 5

Shifting "2x" to left side and "2" to right side.

3x - 2x =  - 5 - 2

Simplify them to get answer.

x =  - 7

Therefore the value of x is -7.

<u>Check</u><u>;</u>

3 × -7 + 2 = 2 × -7 -5

-19 = -19 ( True ).

So, your answer is option B.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>

7 0
3 years ago
In the rectangle below, E1=2x -2, FH=3x+6, and m 4IHG =35°.Find Gl and m LIEH
Tpy6a [65]

Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

\begin{gathered} FH=2EI, \\ GI=EI. \end{gathered}

Substituting the given expression for each segment in the first equation, we get:

3x+6=2(2x-2).

Solving the above equation for x, we get:

\begin{gathered} 3x+6=4x-4, \\ 3x+6+4=4x, \\ 3x+10=4x, \\ 4x-3x=10, \\ x=10. \end{gathered}

Substituting x=10 in the equation for segment EI, we get:

EI=2*10-2=20-2=18.

Therefore:

GI=18.

Now, to determine the measure of angle IEH, we notice that:

\Delta HFG\cong\Delta GEH,

therefore,

\measuredangle GHF\cong\measuredangle HGE.

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

m\measuredangle IEH=90^{\circ}-35^{\circ}=55^{\circ}.

<h2>Answer: </h2>\begin{gathered} m\operatorname{\measuredangle}IEH=55^{\operatorname{\circ}}, \\ GI=18. \\  \end{gathered}

4 0
1 year ago
WHAT IS THE ANSWER PLEASE
viva [34]

Answer:

.top the at is 71 ebecaus  because one third the IsIs

Step-by-step explanation:

6 0
2 years ago
Hey guys! Can you simplify this? Be sure to show your work so i know you aren't guessing! Also remember when you answer a questi
Svetlanka [38]

Answer:

x≤−11

Step-by-step explanation:

−99≥18x−9x

−99≥9x

−

​9

​

​99

​​ ≥x

−11≥x

x≤−11

5 0
2 years ago
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