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sasho [114]
3 years ago
8

I need help on how to do this, picture attached. Thank you.

Mathematics
1 answer:
Lapatulllka [165]3 years ago
8 0
<h3>Answer:</h3>

ΔFDE ~ ΔFSR by the SSS similarity theorem

<h3>Step-by-step explanation:</h3>

Corresponding sides have the same ratios:

... FD/FS = 88/32 = 11/4

... DE/SR = 121/44 = 11/4

... EF/RF = 143/52 = 11/4

So, the triangles are similar by the SSS similarity theorem.

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Toby wants to find the volume of a solid toy soldier.
mr Goodwill [35]

Answer:

Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?

A. 125 B. 156 C. 192 D. 208 E.317

The volume of the toy is 125 cubic cm ,option A is the closest answer.

Step-by-step explanation:

Given:

A rectangular container .

Length of the container =8 cm

Width of the container = 6 cm  

Height of the container when water is filled = (h_1) = 4 cm

Height of the container when the toy is submerged = (h_2) =6.6 cm

Volume of the toy =  Volume of the container with the toy - Volume of the container (with water)

Volume of the toy = (l\times b\times h_2) - (l\times b\times h_1)

                              = (l\times b\times)(h_2-h1)

                              = (6\times 8)(6.6-4)

                              = 48\times 2.6

                              = 124.8 cubic centimeters.

So,the closest value to the volume of the toy is 125 cubic centimeters.

6 0
3 years ago
X + 2y = 7<br> 3x - 2y = -3
VladimirAG [237]
Use Subtraction

1. Subtract
x+2y=7
3x-2y=-3
-------------
4x+0y=4 SIMPLIFY 4x=4

2. DIVIDE

4x=4
x=1

Substitute that into either of the original equations to get x=1, y=3





4 0
3 years ago
A line passes through the point (-3,-3) and had a slope of 1/2, what equation is the line?
azamat

Answer:

y + 3 = 1/2(x + 3)

Step-by-step explanation:

Point Slope Form: y - y1(y coordinate) = m(slope)(x - x1(x coordinate))

4 0
2 years ago
3
Y_Kistochka [10]

Answer:

D) y = -1/2x + 4

Step-by-step explanation:

Points on the graph: (0, 4) and (8, 0)

Slope:

m=(y2-y1)/(x2-x1)

m=(0 - 4)/(8-0)

m= -4/8

m = -1/2

Slope-intercept:

y - y1 = m(x - x1)

y - 4 = -1/2(x - 0)

y - 4 = -1/2x

y = -1/2x + 4

8 0
3 years ago
Kenya exchanges $150 for British pounds(£). Suppose the conversion rate is £1 = $1.60. How many pounds should she receive?
Misha Larkins [42]
If $1.60 is 1 pound, divide the $ amount by 1.60 to find the number of pounds. 150/1.6 = 93.75
6 0
3 years ago
Read 2 more answers
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