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Stella [2.4K]
3 years ago
7

What is the value of x?

Mathematics
1 answer:
kozerog [31]3 years ago
4 0

Answer:

x = 35

Step-by-step explanation:

Since they are vertical angles, the angles are congruent and therefore you can set them equal to each other.

4x + 20 = 3x + 55

Have x on one side of the equation by subtracting 3x from both sides.

x + 20 = 55

Subtract 20 from both sides of the equation.

x = 35

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Please find the exact length of the midsegment of trapezoid JKLM with vertices J(6, 10), K(10, 6), L(8, 2), and M(2, 2). Thank y
I am Lyosha [343]

Answer:

the exact length of the midsegment of trapezoid JKLM  = \mathbf{ = 3 \sqrt{5} } i.e 6.708 units on the graph

Step-by-step explanation:

From the diagram attached below; we can see a graphical representation showing the mid-segment of the trapezoid JKLM. The mid-segment is located at the line parallel to the sides of the trapezoid. However; these mid-segments are X and Y found on the line JK and LM respectively from the graph.

Using the expression for midpoints between two points to determine the exact length of the mid-segment ; we have:

\mathbf{ YX = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }

\mathbf{ YX = \sqrt{(8-5)^2+(8-2)^2} }

\mathbf{ YX = \sqrt{(3)^2+(6)^2} }

\mathbf{ YX = \sqrt{9+36} }

\mathbf{ YX = \sqrt{45} }

\mathbf{ YX = \sqrt{9*5} }

\mathbf{ YX = 3 \sqrt{5} }

Thus; the exact length of the midsegment of trapezoid JKLM  = \mathbf{ = 3 \sqrt{5} } i.e 6.708 units on the graph

8 0
3 years ago
Could I get some help here <br> I literally have the iq of a 2nd grader
ahrayia [7]

Answer:

x = 16

Step-by-step explanation:

Supplementary angles = 180

K + L = 180

137 + 3x - 5 = 180

132 + 3x = 180

3x = 180 - 132

3x = 48

x = 48/3

x = 16

8 0
3 years ago
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 18 feet mor
Aleksandr [31]

Answer:

42 ft, 60 ft, 84 ft

Step-by-step explanation:

let x be the shortest side , then the other 2 sides are 2x and x + 18, so

x + 2x + x + 18 = 186 , that is

4x + 18 = 186 ( subtract 18 from both sides )

4x = 168 ( divide both sides by 4 )

x = 42

Then lengths of sides are

x = 42 ft

2x = 2 × 42 = 84 ft

x + 18 = 42 + 18 = 60 ft

8 0
3 years ago
הS15וה סחרחוווטוורקון
navik [9.2K]

Answer:

what i only speak english

Step-by-step explanation:

8 0
3 years ago
PLS ILL GIVE BRAINLY
Serggg [28]

Answer:

Step-by-step explanation:

Isabell, can you see that the sides are 2x6 each?   each half of the triangle will make a total rectangle of 2x6 or 12 square meters

there are 4 of those so 48 sq meters plus the base of 4x4 or 16 sq meters

48+16 = 64 square meters total

5 0
3 years ago
Read 2 more answers
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