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vlabodo [156]
3 years ago
15

The front of Rosie's house is similar in shape to the front of Sparky's doghouse. The base of the doghouse is 6 feet and the hei

ght is 5 feet. If the height of Rosie's house is 27.5 feet, what is the length of its base? If necessary, round your answer to the nearest tenth.
1. 22.9 ft pick and awnser!! :)

2. 28.5 ft

3. 33 ft

4. 30 ft
Mathematics
1 answer:
Shtirlitz [24]3 years ago
4 0

Answer:

33feet

Step-by-step explanation:

If the base of the doghouse is 6 feet and the height is 5 feet, we can write;

6 feet base = 5 feet height

To get the length of the base if the height is 27.5feet

x feet base = 27.5 feet high

Divide both expressions

6/x = 5/27.5

5x = 6 * 27.5

5x = 165

x = 165/5

x = 33ft

Hence the length of its base will be 33feet

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3 years ago
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I am trying to understand how to solve for X, then solve the equation
Alina [70]

Answer:

x = 16

m<Y = 34°

Step-by-step explanation:

∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:

<X = <Z

(6x - 23)° = (4x + 9)

Solve for x

6x - 23 = 4x + 9

Collect like terms

6x - 4x = 23 + 9

2x = 32

Divide both sides by 2

x = 16

m<Y = 180° - (m<X + m<Z) (sum of ∆)

m<Y = 180 - ((6x - 23) + (4x + 9))

Plug in the value of x

m<Y = 180 - ((6(16) - 23) + (4(16) + 9))

m<Y = 180 - (73 + 73)

m<Y = 34°

5 0
3 years ago
If A is the midpoint of line segment LH and B is the midpoint of line segment LJ, then what is AH? 20,9,11,33?
Effectus [21]

Answer:

Answer is 33. Got it right in my quiz

Step-by-step explanation:

5 0
3 years ago
Expand the following using the Binomial Theorem and Pascal’s triangle (2x − 3y)^4
krok68 [10]

Answer:

Step-by-step explanation:

Binomial Expansion:

(2x-3y)^4 \\\\= 4C_0(2x)^4 (-3y)^0 + 4C_1(2x)^3 (-3y)^1 + 4C_2(2x)^2(-3y)^2 \\\\+ 4C_3(2x)^1 (-3y)^3 + 4C_4(2x)^0 (-3y)^4\\\\=16x^4 + 4(8x^3)(-3y) + 6(4x^2)(9y^2) + 4(2x)(-27y^3) + 81y^4\\\\=16x^4 - 96x^3y + 216x^2y^2-216xy^3 +81y^4

Pascal's Triangle:

  Zero row                        1

 First row                  1                 1

 Second row          1           2             1

 Third  row         1         3              3          1

 Fourth row    1       4            6           4          1

8 0
3 years ago
what is the vertical change shown on the graph? give the answer as a decimal rounded to the nearest tenth, if necessary
Savatey [412]

Answer:

where is the graph ?

pls tell

8 0
3 years ago
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