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Ratling [72]
2 years ago
6

According to the figure given here,

Mathematics
2 answers:
AfilCa [17]2 years ago
4 0

Answer:

(i) 90°

(ii) CÔD

(iii) AÔD = 110°

(iv) 180°

(v) AÔD

(vi) AÔB

Step-by-step explanation:

Two angles are said to be complementary if they add up to 90°.

Complementary angles can either be adjacent or non-adjacent.

Two Angles are said to be supplementary if they add up to 180°.

Complementary angles can either be adjacent or non-adjacent.

(i) BÔC + CÔD = 25 + 65 = 90°

(ii) BÔC = 25°

Therefore the complementary angle measures 90 - 25 = 65°

So the complement of BÔC is CÔD

(iii) AÔD = 20 + 25 + 65 = 110°

(iv) AÔD + DÔE = 110 + 70 = 180°

(v) DÔE = 70°

Therefore the supplementary angle measures 180 - 70 = 110°

So the supplement of DÔE is AÔD

(vi) DÔE = 70°

Therefore the complementary angle measures 90 - 70 = 20°

So the complement of DÔE is AÔB

Readme [11.4K]2 years ago
4 0

#1

  • <BOC+<COD=25+65=90

#2

Let the complement be x

  • x=90-25=75

#3

  • <AOD=20+25+65=110

#4

  • <AoD+<DOE=110+70=180°

#5

  • x=90-70=20
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Math help please thanks due soon
dezoksy [38]

Problem 11

Answer: Angle C and angle F

Explanation: Angle C and the 80 degree angle are vertical angles. Vertical angles are always congruent. Angle F is equal to angle C because they are alternate interior angles.

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

Problem 12

Answer: 100 degrees

Explanation: Solve the equation E+F = 180, where F = 80 found earlier above. You should get E = 100.

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

Problem 13

Answer: 80 degrees

Explanation: This was mentioned earlier in problem 11.

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Problem 14

Answers: complement = 50, supplement = 140

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7 0
3 years ago
Please help ASAP!!! Thank you so much!!! Just want confirm my answer it is y=150x-50. A concession stand at a football game took
jekas [21]

Answer: You have the correct answer. It is y = 150x-50

Nice work on getting the correct answer. For anyone curious, the explanation is below.

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

x = number of hours the stand is open

y = amount earned

(1,100) is from the fact the stand is open 1 hour and earns $100

(3,400) is due to the stand earning $400 after 3 hours.

Slope Formula

m = (y2 - y1)/(x2 - x1)

m = (400-100)/(3-1)

m = 300/2

m = 150 is the slope, and it is the amount earned per hour. It is the rate of change.

Use m = 150 and (x,y) = (1,100) to find the value of b as shown below

y = mx+b

100 = 150(1) + b

100 = 150 + b

100-150 = b

-50 = b

b = -50 is the y intercept and it is the starting amount they earn. The negative earning indicates that they spent $50 to set up the stand, which is the cost of buying the food, equipment, etc.

So we have m = 150 as the slope and b =  -50 as the y intercept.

Therefore, y = mx+b turns into y = 150x-50.

-------

As a check, plugging in x = 1 should lead to y = 100

y = 150x-50

y = 150(1)-50

y = 150-50

y = 100 and indeed it does

The same should be the case with (3,400). Plug in x = 3 and we should get y = 400

y = 150x-50

y = 150(3)-50

y = 450-50

y = 400, we have confirmed the answer by showing that the line y = 150x-50 goes through the two points (1,100) and (3,400).

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Answer:

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