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ioda
3 years ago
9

The perimeter of a rectangular field is 342 m. If the width of the field is 76 m, what is it’s length?

Mathematics
1 answer:
Klio2033 [76]3 years ago
6 0

Answer:

The length is 95 m

Step-by-step explanation:

P = 2(l+w) where l is the length and w is the width

342 = 2(l+76)

Divide each side by 2

342/2 = 2/2(l+76)

171= l+76

Subtract 76 from each side

171- 76 = l+76-76

95 = l

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Lucy plans to spend between $50 and $60, inclusive, on packages of beads and packages of charms. If she buys 5 packages of beads
worty [1.4K]

She can buy maximum of 5 packages while staying within her budget.

Minimum spending limit = $50.

Maximum spending limit = $60.

Cost of one package of beads = $4.95.

Number of packages of beads bought = 5.

Cost of one package of charms = $6.55.

Let the number of packages of beads bought be x.

4.956 \times 5 + x \times 6.55 \geq 50

24.78+6.55x\geq 50

6.55x\geq 25.22

x\geq 3.85

4.956 \times 5 + x \times 6.55 \leq 60

24.78+6.55x\leq 60

6.55x\leq 35.22

x\leq 5.38

So, she can buy maximum of 5 packages while staying within her budget.

Learn more about solving inequalities here:

brainly.com/question/12189350?referrer=searchResults

7 0
2 years ago
For the given line segment, write the equation of the perpendicular bisector.
Jlenok [28]

Answer:

D) y = -4/5x – 47/10

Step-by-step explanation:

Step 1. Find the <em>midpoint of the segmen</em>t.

The two end points are (-6, -4) and (-2, 1).

The midpoint is at the average of the coordinates.

(xₚ, yₚ) = ((x₁ + x₂)/2, (y₁ + y₂)/2)

(xₚ, yₚ) = ((-6 - 2)/2, (-4 + 1)/2)

(xₚ, yₚ) = (-8/2, -3/2)

(xₚ, yₚ) = (-4, -3/2)

===============

Step 2. Find the <em>slope (m₁) of the segment</em>

m₁ = (y₂ - y₁)/(x₂ - x₁)

m₁ = (1 - (-4))/(-2 - (-6))

m₁ = (1 + 4)/(-2 + 6)

m₁ = 5/4

===============

Step 3. Find the <em>slope (m₂) of the perpendicular bisector </em>

m₂ = -1/m₁

m₂ = -4/5

====================

Step 4. Find the <em>intercept of the perpendicular bisector</em>

y = mx + b

y = -(4/5)x + b

The line passes through (-4, -3/2).

-3/2 = -(4/5)(-4) + b

-3/2 = 16/5 + b      Multiply each side by 10

 -15 = 32 + 10 b    Subtract 32 from each side

 -47 = 10b             Divide each side by 10

    b = -47/10

===============

Step 5. Write the <em>equation for the perpendicular bisector</em>

y = -4/5x – 47/10

The graph shows the midpoint of your segment at (-4, -3/2) and the perpendicular bisector passing through the midpoint and (0, -47/10).

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4 years ago
FREE 11 POINTS<br>i will mark brainsit if i see crown ​
Fofino [41]

Answer:

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3 years ago
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4 years ago
Which construction of parallel lines is justified by the theorem "when two lines are intersected by a transversal and the corres
Ugo [173]

Answer:

c

Step-by-step explanation:

I think you missed attaching the photo, please see my attachment.

And the correct answer is C,

When you look at where the arc meets the parallel lines, if you create a seam between two points, you get a straight line parallel to the horizontal lines  so it makes the corresponding angles are congruent.

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3 years ago
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