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inna [77]
4 years ago
6

Use the diagram to identify the special angle pairs. ADC and BDC are . A pair of complementary angles is angles .

Mathematics
2 answers:
Kaylis [27]4 years ago
8 0

Answer:

Supplementary

ACD & BCD

Step-by-step explanation:

Grace [21]4 years ago
7 0

Answer:

  • \angle ADC$ and \angle BDC$ are supplementary.
  • A pair of complementary angles is angles ACD and DCB.

Step-by-step explanation:

<u>Definitions</u>

  • Two or more angles are supplementary if they add up to 180 degrees.
  • Two or more angles are complementary if they add up to 90 degrees.

In the diagram which is attached below:

Angles ADC are BDC are on a straight line, and they add up to 180 degrees.

Therefore:

\angle ADC$ and \angle BDC$ are supplementary.

Furthermore,

\angle ACB$ is a right angle.\\\angle ACB=\angle ACD+\angle DCB\\$Therefore, \angle ACD$ and \angle DCB$ are complementary.

A pair of complementary angles is angles ACD and DCB.

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The equilibrium referred to here is the dynamic equilibrium. It means that there is a change happening, but the opposite change are equal so they cancel out. So, we can determine the equilibrium price at the point where the demand and supply curve intersect. That would be at the quantity of 60 units. Therefore, the equilibrium price is $10.
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4 years ago
What is the first step in solving this quadratic equation? x^2+5x=6
evablogger [386]

Answer:

c) subtract 6 from both sides to get it equal to 0

Step-by-step explanation:

6 0
3 years ago
Hey plz help and show work
blsea [12.9K]
The dog house consists of two geometric objects, triangular prism and rectangular prism.

First, find the surface area of triangular prism
The triangular prism consists of
base of triangle (b) = 3 ft
height of triangle (h) = 2.5 ft
height of prism or length of rectangle (l) = 4 ft
side of triangle or width of rectangle (w) = 2.5 ft

Now, calculate the area
area of tp = area of two triangle + area of 2 rectangle
area of tp = (2 × 1/2 × b × h) + (2 × l × w)
area of tp = (2 × 1/2 × 3 × 2) + (2 × 4 × 2.5)
area of tp = 6 + 20
area of tp = 26 ft²

Second, find the surface area of rectangular prism
The rectangular prisms consists of
length (l) = 3 ft
width (w) = 4 ft
height (h) = 2 ft

Now, calculate the area
area of rp = area of back and front rectangle + area of left and right rectangle
area of rp = (2 × l × h) + (2 × w × h)
area of rp = (2 × 3 × 2) + (2 × 4 × 2)
area of rp = 12 + 16
area of rp = 28 ft²

Third, add both of the area
area = area of tp + area of rp
area = 26 + 28
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The area of the dog house is 54 ft
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6 0
3 years ago
The bottom end of a ramp at a warehouse is 10 feet from the base of the main dock and is 11 feet long.
Otrada [13]

Answer:

The dock is 4.58 ft high

Step-by-step explanation:

we know that

Applying the Pythagoras theorem

Let

x------> the height of the dock

11^2=x^2+10^2

Solve for x

x^2=11^2-10^2

x^2=121-100

x^2=21

x=\sqrt{21} ft

x=4.58 ft

5 0
2 years ago
Which of the k-values satisfy the following inequality?
Arte-miy333 [17]
6>2k+4
2>2k
1>k

k has to be less than 1

Answer: a) k=0

Hope this helps:)
7 0
3 years ago
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