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masya89 [10]
3 years ago
13

5. Sara has a photo that is 5 inches by 7 inches. When she adds a frame

Mathematics
1 answer:
stiv31 [10]3 years ago
5 0

Answer:

  1 inch

Step-by-step explanation:

Factors of 63 are 7 and 9, each of which is 2 more than the dimensions of the photo. Sarah's frame is 1 inch wide.

_____

A 1-inch wide frame adds 2 inches to length and width.

_____

<em>Solution using an equation</em>

If you let w represent the width of the frame, the area of the framed photo is ...

  (5+2w)(7+2w) = 63

  4w^2 +24w -28 = 0 . . . . write in standard form

  w^2 +6w -7 = 0 . . . . . . . . divide by 4

  (w -1)(w +7) = 0 . . . . . . . . factor

The positive solution to this equation is w=1.

The width of the frame is 1 inch.

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Describe the sequence of basic rigid motions that shoews S1 = S2
telo118 [61]

Answer:

S1 is congruent to S2

Step-by-step explanation:

4 0
3 years ago
A 15 ft. telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42° angle
Lorico [155]

Answer:

Correct choice is A

Step-by-step explanation:

Consider right triangle ABC formed by the telephone pole (side AB) and ground (side BC). In this triangle AC is the length of the wire, BC is the distance from the base of the pole to the spot where the wire touches the ground and AB=15 ft, ∠ACB=42°.

Then

  • \sin 42^{\circ}=\dfrac{AB}{AC}\Rightarrow AC=\dfrac{AB}{\sin 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 22.4\ ft.
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8 0
3 years ago
6(2x+4)=4(3x+6) solve and show work
Afina-wow [57]

Answer:

0=0

Step-by-step explanation:

6(2x+4)=4(3x+6)

Step 1: Simplify both sides of the equation.

6(2x+4)=4(3x+6)

(6)(2x)+(6)(4)=(4)(3x)+(4)(6)(Distribute)

12x+24=12x+24

Step 2: Subtract 12x from both sides.

12x+24−12x=12x+24−12x

24=24

Step 3: Subtract 24 from both sides.

24−24=24−24

0=0

5 0
3 years ago
All of the following are equivalent, except.
yulyashka [42]

Answer: B.

Step-by-step explanation: This is because you can't possibly have an exponent, there are no two of the same value being multiplied together.

5 0
2 years ago
Find the solution of x and y
Hunter-Best [27]

Answer:

x = 1.25, y = 1.75

Step-by-step explanation:

The smaller and larger triangles are similar triangles. (the 2 triangles have the same angles).

We know that the smaller triangle has length 8 for it's bottom side when the larger triangle has length 10. This means the scale factor between the 2 is 10 / 8 which is 1.25. Therefore by multiplying the side lengths of the smaller triangle by 1.25 we get the side lengths of the larger triangle.

5 * 1.25 = 6.25

7 * 1.25 = 8.75

However we don't want the whole side lengths we want x and y, We need to subtract 5 and 7 respectively from the lengths of the larger triangles.

Therefore the lengths must be: 6.25 - 5 = 1.25

and 8.75 - 7 = 1.75

Therefore x and y equal 1.25 and 1.75

5 0
3 years ago
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