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kakasveta [241]
2 years ago
12

Help!? Helping my son with geometry ... I have no clue what I’m doing here

Mathematics
1 answer:
Tatiana [17]2 years ago
4 0

<u>We are Given:</u>

∠1 = 65°

<h3><u>Finding the measure of all other angles with proof:</u></h3>

<u>∠2:</u>

∠1 + ∠2 = 180°           <em>(angle 1 and 2 form a Linear Pair)</em>

65 + ∠2 = 180            <em>(Angle 1 = 65°)</em>

∠2 = 180 - 65

∠2 = 115°

<u>∠3:</u>

∠1  = ∠3            <em>(Angle 1 and 3 are vertically opposite)</em>

65 = ∠3             <em>(Angle 1 = 65°)</em>

<em>∠3 = 65°</em>

<em />

<u><em>∠4:</em></u>

∠4 = ∠2                  <em>(Vertically opposite angles)</em>

∠4 = 115°                <em>(∠2 = 115°)</em>

<u><em /></u>

<u>∠5:</u>

∠5 = ∠1          <em>(Corresponding angles)</em>

∠5 = 65°        <em>(∠1 = 65°)</em>

<u><em /></u>

<u>∠6:</u>

∠6 = ∠2      <em>(Corresponding angles)</em>

∠6 = 115°    <em>(∠2 = 115°)</em>

<em />

<u>∠7:</u>

∠7 = ∠3        <em>(Corresponding Angles)</em>

∠7 = 65°       <em>(∠3 = 65°)</em>

<em />

<u>∠8:</u>

∠8 = ∠4        <em>(Corresponding angles)</em>

∠8 = 115°      <em>(∠4 = 115°)</em>

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0.54723 divided by 2<br> Pls show steps
Nina [5.8K]

Answer:

0.54723 divided by 2 = 0.273615

Step-by-step explanation:

0.54723/2 = 0.273615

There is not much to show regarding steps, but this might help:

Dividing something by 2 means spliting the original value in half. This means that the product of the number of the original value that was divided by two is half of the orginial value. This means that <u>0.273615 + 0.273615 = 0.54723(the original value)</u> because two halves make a whole.

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2 years ago
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The Willis Tower is 1450 feet tall. Jeff
IgorLugansk [536]

Answer:

  something smaller than 1/483.33, possibly 1/500

Step-by-step explanation:

For the model to fit into the car, the scale must be less than ...

  (3 ft)/(1450 ft) = 1/483.33

It might be convenient for Jeff to use a scale factor of 1 : 500. This would result in a model ...

  (1450 ft)/500 · (12 in/ft) = 34.8 in

leaving about 1.2 inches of clearance in his mother's car.

4 0
3 years ago
write the x and y coordinate (in the second and third column, respectively) of dilation of quadrilateral ABCD with vertices A(1,
gayaneshka [121]

Answer:

The coordinates of the dillated vertices are A'(x,y) = (2,2), B'(x,y) = (4,4), C'(x,y) = (8,2) and D'(x,y) = (4,-2).

Step-by-step explanation:

From Linear Algebra, we define dilation by the following equation:

P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)] (1)

Where:

O(x,y) - Center of dilation, dimensionless.

P(x,y) - Original point, dimensionless.

k - Scale factor, dimensionless.

P'(x,y) - Dilated point, dimensionless.

If we know that O(x,y) = (0, 0), k = 2, A(x,y) = (1,1), B(x,y) = (2,2), C(x,y) = (4,1) and D(x,y) = (2,-1), then the dilated points are, respectively:

Point A

A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)] (2)

A'(x,y) = (0,0) + 2\cdot [(1,1)-(0,0)]

A'(x,y) = (2,2)

Point B

B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)] (3)

B'(x,y) = (0,0) + 2\cdot [(2,2)-(0,0)]

B'(x,y) = (4,4)

Point C

C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)]

C'(x,y) = (0,0) + 2\cdot [(4,1)-(0,0)]

C'(x,y) = (8,2)

Point D

D'(x,y) = O(x,y) + k\cdot [D(x,y)-O(x,y)]

D'(x,y) = (0,0) + 2\cdot [(2,-1)-(0,0)]

D'(x,y) = (4,-2)

The coordinates of the dillated vertices are A'(x,y) = (2,2), B'(x,y) = (4,4), C'(x,y) = (8,2) and D'(x,y) = (4,-2).

4 0
2 years ago
Please help me . please and thank you !!. ​
Vesna [10]

18) Value of b is : b\geq  8

Option A is correct.

19) Option C is correct.

Step-by-step explanation:

18) We need to find the value of b.

The given equation is:

12b-46\geq 50

Solving to find the value of b:

12b-46\geq 50\\12b\geq 50+46\\12b\geq 96\\b\geq \frac{96}{12}\\b\geq  8

So value of b is : b\geq  8

Option A is correct.

19) We need to find the correct graph of the equation:

4y-2

Solving:

4y-2

The values of y will be less than three. As y < 3 so, the circle on y is not filled.

So. Option C is correct.

Keywords: Solving Inequalities

Learn more about Solving Inequalities at:

  • brainly.com/question/1465430
  • brainly.com/question/1626676
  • brainly.com/question/2840217

#learnwithBrainly

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the value = 1000 × (1.1)⁴
the value = 1000 × 1.4641
the value = 1464.1
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3 years ago
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