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Nitella [24]
3 years ago
13

Jessica locates her garden using a coordinate grid with yards as the units. The two points

Mathematics
1 answer:
Oliga [24]3 years ago
8 0

Answer:

These two corners are \sqrt{13} units apart.

Step-by-step explanation:

Distance between two points:

Suppose we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Approximately how far apart are the two corners?

We have to find the distance between the points (-5,-2) and (-8-3). So

D = \sqrt{(5-(-8))^2+(-2-(-3))^2} = \sqrt{13}

These two corners are \sqrt{13} units apart.

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Answer:

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Step-by-step explanation: here's the graph

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2 years ago
Save Work out the size of angle AED.<br> b) Work out x
Mamont248 [21]

Answer:

x = 10°

Step-by-step explanation:

a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"

   Therefore, in cyclic quadrilateral ABDE,

   m∠ABD + m∠AED = 180°

   110° + m∠AED = 180°

   m∠AED = 180° - 110°

                 = 70°

b). AD = ED [Given]

   m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]

   m∠EAD = m∠AED = 70°

   By triangle sum theorem in ΔABD,

   m∠BAD + m∠ABD + m∠ADB = 180°

   m∠BAD + 110° + 40° = 180°

   m∠BAD = 180 - 150

                 = 30°

    m∠AEB = m∠AED + m∠DAB [By angles addition postulate]

    m∠AEB = 70° + 30°          

                  = 100°

    By triangle sum theorem in the large triangle,

    x° + m∠AEB + m∠EAB = 180°

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8 0
2 years ago
Simplify each expression
Veseljchak [2.6K]
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3 years ago
Determine the value of x?
Alexxx [7]

hope it will help you..........

6 0
2 years ago
Laura’s fish tank has 17 liters of water in it. She plans to add 5 liter per minute until the tank has more than 72 liters. What
Hoochie [10]
T= number of minutes

Multiply 5 liters by number of minutes (t), then add the 17 liters already in the tank. This totals 72 liters or more.

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subtract 17 from both sides

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divide both sides by 5

t ≥ 11 minutes


ANSWER: Laura could add water for 11 minutes to be sure the tank has 72 liters or more.

Hope this helps! :)
3 0
3 years ago
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