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Free_Kalibri [48]
2 years ago
8

Can someone help and explain and do the solution pls :(

Mathematics
1 answer:
brilliants [131]2 years ago
6 0

Consider ∆JWZ and ∆JKZ

WZ~KJ (given)

<u>/</u><u> </u><u>WZJ</u>~<u>/</u><u> </u>KJZ (given)

JZ~JZ (common)

Therefore,

∆JWZ~∆JKZ by SAS congruence rule.

JW~ZK by CPCT.

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Proving the Converse of the Parallelogram Side Theorem
Brrunno [24]

Answer:

do it yourself

Step-by-step explanation:

6 0
2 years ago
The picture below shows a pole and its shadow:
Angelina_Jolie [31]

The answer is 112 centimeters.

As this problem represents a right triangle, here we need to apply the Pythagorean Theorem.

  • h = √113² - 15²
  • h = √12769 - 225
  • h = √12544
  • h = 112 centimeters

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

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6 0
1 year ago
Which system of inequalities has a line as a solution?
erastova [34]

linear inequality

The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system

7 0
2 years ago
A yardstick casts a shadow of 24 in. At the same time a telephone pole casts a shadow of 20 ft 8 in. What is the height of the t
finlep [7]

Answer:

372 inches

Step-by-step explanation:

(1 yd = 36 in., and 1 ft = 12 in.)

1 yard stick = 24 in

This means , height of 36 inches casts a shadow of 24 Inches

At the same time a telephone pole casts a shadow of 20 ft 8 in

1 ft = 12 in

Hence,

Convey 20ft to inches

1 ft = 12 in

20 ft = 20 × 12 inches

= 240 inches

Total shadow of the telephone pole = 240in + 8 in = 248 = 248 inches

Hence,

Height/Length of shadow = Height/Length of shadow

36/24= x /248

Cross Multiply

24 × x = 36× 248

x = 36 × 248/24

x = 372 inches

The height of the telephone pole, to the nearest inch is 372 inches

5 0
3 years ago
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