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sukhopar [10]
3 years ago
14

What is the value of k?

Mathematics
1 answer:
LuckyWell [14K]3 years ago
6 0

Answer:

k = 10

Step-by-step explanation:

There are 180 degrees in a straight line, so ZYX must be 85 degrees. There are also 180 degrees in a triangle, so YZX + ZXY = 115.


4k + 5 + 6k + 10 = 115

10k + 15 = 115

10k = 100

k = 10

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I don’t know how to set it up nor do it please help me
marusya05 [52]

Answer:

The value of x is 3

Step-by-step explanation:

∵ Quadrilateral ABCD is congruent to quadrilateral JKLM

∴ AB = JK and BC = KL

∴ CD = LM and AD = JM

∵ BC = 8x + 7

∵ KL = 31

∵ BC = KL

→ Equate their right sides

∴ 8x + 7 = 31

→ Subtract 7 from both sides

∵ 8x + 7 - 7 = 31 - 7

∴ 8x = 24

→ Divide both sides by 8 to find x

∴ \frac{8x}{8} = \frac{24}{8}

∴ x = 3

∴ The value of x is 3

8 0
2 years ago
6) the circular base of a hemisphere of radius 2 rests on the base of a square pyramid of height 6. the hemisphere is tangent to
Rasek [7]

The length of the square base is thus 2 x 3\sqrt{2}/2 = 3\sqrt{2} = A

<h3>What is hemisphere?</h3>

Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.

EXPLANATION; Let ABCDE be the pyramid with ABCD as the square base. Let O and M be the center of square ABCD and the midpoint of side AB respectively. Lastly, let the hemisphere be tangent to the triangular face ABE at P.

Notice that triangle EOM has a right angle at O. Since the hemisphere is tangent to the triangular face ABE at P, angle EPO is also 90 degree. Hence, triangle EOM is similar to triangle EPO.

OM/2 = 6/EP

OM = 6/EP x 2

OM = 6\sqrt{6^2 - 2^2} x 2 = 3\sqrt{2}/2}

The length of the square base is thus 2 x 3\sqrt{2}/2 = 3\sqrt{2} = A

To know more about Hemisphere, visit;

brainly.com/question/13625065?referrer=searchResults

#SPJ4

6 0
1 year ago
A water pail in your backyard has a small hole in it. You notice that it has drained a total of 0.5 liter in 4 days. What is the
deff fn [24]

Answer:

0.125 liters per day

Step-by-step explanation:

0.5/4=.125

3 0
3 years ago
Use the Distributive Property to multiply. 5(b + 8) A. 5b + 40 B. 5b + 8 C. 5b + 13 D. 8b + 40
lyudmila [28]
Answer is A multiply 5xb and 5x8
7 0
2 years ago
Read 2 more answers
What is the value of x 21, 18, 10 or 29?
Hitman42 [59]
18. Set the the two equations equal and solve.
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