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Ilia_Sergeevich [38]
3 years ago
12

Which angle is complementary to DFE? Pls answer

Mathematics
2 answers:
Sindrei [870]3 years ago
8 0

Answer:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. If two angles are complementary then they will add up to be 90, or inversely, if two angles add up to be 90, then they are complementary. If you know one acute angle, you can calculate its complementary angle by subtracting 90 and the angle. When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

The complement of −135° is the angle that when added to −135° forms a right angle (90° ).

Step-by-step explanation:

zaharov [31]3 years ago
6 0

Answer:

<DFA

Step-by-step explanation:

When combined (<DFA and <DFE), they'll form 90 degrees which will make them complementary

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Answer:

The car will travel 29 1/3 miles in 44 minutes, 40 miles in an hour.

Step-by-step explanation:

First, find how far the car can travel in one minute.

(1 1/2)/(2 1/4)=(2/3)

Then multiply the amount of time in minutes.

(2/3)*44= 29 1/3

(2/3)*60=40

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An Olympic-sized swimming pool can hold approximately 6.60 x 105 gallons of water. Calculate the volume of the water in cubic me
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The volume of the pool is 1.74*10^8 cubic meters

To solve this problem, we convert the volume of the water from gallons to m^3.

<h3 /><h3>Conversion of Unit</h3>

This is done to convert one unit of a substance to another unit of that particular substance. In this question, we are converting from gallon - meter cube

Data;

  • v = 6.60*10^5
  • 1 gallon = 264.17m^3

let's solve for v

1gallon  = 264.17m^3\\&#10;6.60*10^5 gallon = x

cross multiply both sides and solve for the volume in cubic meters

x = 6.60*10^5 * 264.17\\&#10;x = 174352200\\&#10;x = 174.352*10^6m^3 = 1.74*10^8m^3

The volume of the pool is 1.74*10^8 cubic meters

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A rectangular dog pen is constructed using a barn wall as one side and 63 m of fencing for the other three sides what is the max
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A carpenter purchased 50 ft of redwood and 70 ft of pine for a total cost of $280. A second purchase, at the same prices, includ
iris [78.8K]

The cost per foot of redwood and of pine is $3.5 and $1.5 respectively.

<h3>How to solve simultaneous equation?</h3>

let

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  • cost of pine = y

50x + 70y = 280

100x + 60y = 440

Multiply (1) by 2

100x + 140y = 560

100x + 60y = 440

subtract to eliminate x

80y = 120

y = 120/80

y = $1.5

substitute y = 1.5 into (1)

50x + 70y = 280

50x + 70(1.5) = 280

50x + 105 = 280

50x = 280 - 105

50x = 175

x = 175 / 50

x = $3.5

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Write a recursive rule an explicit rule for each arithmertic sequence. 67 ,37 ,7, -23, -53
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The recursive formula of the sequence is aₙ = aₙ₋₁ - 30

<h3>How to determine the recursive formula of the sequence?</h3>

From the question, we have the following sequence that can be used in our computation:

67 ,37 ,7, -23, -53

In the above sequence, we can see that the 30 is subtracted from the previous term to get the current term

Using the above as a guide,

So, we have the following representation

aₙ = aₙ₋₁ - 30

The above represents the recursive rule

Hence, the recursive rule of the function is aₙ = aₙ₋₁ - 30

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