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tatyana61 [14]
3 years ago
14

A 84-inch board is cut into two pieces. One piece is two times the length of the other. Find the

Mathematics
1 answer:
Contact [7]3 years ago
5 0

Answer:

the short piece is 28 and the long piece is 56

Step-by-step explanation:

you can label the short piece x and the long piece as 2x

84= short (x)+ long (2x)

84=x+2x

84=3x

x=28

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Please help PLEASE HELP
alexdok [17]

Answer:

15. 17.5 ft

16. XZY ~ RPQ only

Step-by-step explanation:

15. The figure shows you the height of the object is 5/6 the length of its shadow. Then the height of the tree will be (5/6)·21 ft = 17 1/2 ft.

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16. Triangles are similar when they have all the same angles. In the given triangles, you have ...

angle X = angle R = 32° . . . . (no corresponding angle in the third triangle)

angle Z = angle P = 64°

angle Y = angle Q = 84°

The triangle vertices need to be named in the order in which they correspond, so we can say, for example, ...

triangle XZY ~ triangle RPQ

5 0
4 years ago
Dilate the given points distance from the origin (x,y) (0.8x, 0.8y) . The point (-10,-20) becomes & point (15,25) become
dalvyx [7]

Answer: The point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).

Step-by-step explanation:

When a point (x,y) is dilated by a scale factor k from the origin, then the new points become

(kx,ky).

The given rule of dilation : (x,y) →(0.8x, 0.8y)

The first point is (-10,-20), so its image will be

(-10,-20)\to (0.8\times-10,0.8\times-20)=(-8,-16)

So, the point (-10,-20)  becomes (-8,-16).

The second point is (15,25), so its image will be

(15,25)\to (0.8\times15,0.8\times25)=(12,20)

So, the point (15,25) becomes (12,20).

Hence, the point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).

8 0
3 years ago
Write an equation of the line with the given characteristics (show all work)
Sedbober [7]

Answer:

1. y = - 4 x + 5

2.  x = -8

Step-by-step explanation:

1.  (-1,9) (1,1)

y = mx + b

m = (y-y') / (x-x') = (1-9) / (1-(-1)) = -8 / 2 = - 4

b = y - mx = 9 - (-4) x (-1) = 5

equation: y = - 4 x + 5

check: (1,1)   y=1 = (-4) x 1 + 5 = 1

2. Vertical line through (-8,6) is a line perpendicular to x axis

    x = -8

4 0
3 years ago
Integers -4-(-7)<br><br> How would I do this
alukav5142 [94]

Answer:

3

Step-by-step explanation:

-4-(-7)=

-4+(7)=

3

3 0
2 years ago
If exactly 194 people sign up for a charter flight, Leisure World Travel Agency charges $312/person. However, if more than 194 p
maw [93]

Title:

<h2>The revenue will be maximum for 253 passengers.</h2>

Step-by-step explanation:

Let, the number of passenger is x, which is more than 194.

In this case, the travel agency will charge [312 - (x - 194)] per passenger.

The total revenue will be x[312 - (x - 194)] = 506x - x^{2}.

As x is the variable here, we can represent the revenue function by R(x). Hence, R(x) = 506x - x^{2}.

The revenue will be maximum when \frac{d (506x - x^{2} )}{dx} = 0\\2x = 506\\x = 253.

6 0
3 years ago
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