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lesantik [10]
2 years ago
14

For triangles Y Z X and C D B, sides Y Z, Z X, C D, and B D are 2.5 centimeters. Sides B C and Y X are 3.8 centimeters. Angles B

, C, Y, X are 36 degrees. Angles Z and D are 108 degrees.
Which of the following congruency statements is correct?
ΔYZX ≅ ΔBCD
ΔYZX ≅ ΔDCB
ΔZXY ≅ ΔDCB
ΔYXZ ≅ ΔCDB
Mathematics
2 answers:
Kryger [21]2 years ago
7 0

Answer:

ΔZXY ≅ ΔDCB

Step-by-step explanation:

zmey [24]2 years ago
3 0

Answer:

the answer is C

Step-by-step explanation:

edge 2021

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Find the regular price. Round to the nearest cent . Sales price is 56.78 percent discount is 40%
LenaWriter [7]

100\%-40\%=60\%\\60\% = \frac{60}{100}=\frac{6}{10}=\frac{3}{5}\\\\

Numerator is 3 and denominator is 5. So, we divide the sales price by 3 and we multiply by 5 to get the whole fraction, or 100%.

\frac{56.78*5}{3} \\\frac{283.9}{3} \\94.6333333333333...

Your regular price sounds recurring, so you might have made a mistake copying.

The answer for what you've got is 94.633333...

5 0
2 years ago
What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for x.)
marshall27 [118]

The volume of the composite figure is the third option 385.17 cubic centimeters.

Step-by-step explanation:

Step 1:

The composite figure consists of a cone and a half-sphere on top.

We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius is 4 cm and the height is 15 cm.

The volume of the cone :

V = \frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.1415)(4^{2} )(15) = 251.32 cubic cm.

Step 3:

The area of a half-sphere is half of a full sphere.

The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 4 cm. We take π as 3.1415.

The volume of a full sphere \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.1415) (4^{3}) = 268.07 cubic cm.

The volume of the half-sphere =\frac{1}{2} (268.07) = 134.037 cubic cm.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume 251.32+134.037 = 385.357 cub cm. This is closest to the third option 385.17 cubic centimeters.

5 0
3 years ago
What are three ordered pairs that have a proportional relationship
MaRussiya [10]
1-3
2-6
3-9 This is an example of porportional.

1-4
2-3
3-9 There is no pattern so thin is Non-Porportional.
7 0
3 years ago
Jason and Martin want to share 3 cookies equally. How much cookie will Jason and Martin each receive? Write an equation and expr
Verdich [7]

Answer: each will get 3/2

Step-by-step explanation:

They will each get a whole cookie with one left over that they can break in half.

6 0
2 years ago
3 An open cone has a vertical angle measuring 40°
belka [17]

Answer:

13.41 cm

Step-by-step explanation:

The radius, height, and HALF of vertical angle makes a triangle.

Where

Radius will be the base of the triangle

Height will be the "height" of the triangle

Top angle will be HALF of vertical angle (40/2 = 20)

From the 20 degree angle, the side "opposite" would be the radius, which is 30. The side "adjacent" would be the height, let it be h.

<em>Which trig ratio relates opposite and adjacent? Yes, that is TAN. Thus we can write:</em>

Tan(20) = opposite/adjacent

Tan(20) = 30/h

h = 30/Tan(20)

h = 13.41

So

The height of the cone would be around 13.41 cm

3 0
3 years ago
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