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lukranit [14]
2 years ago
15

in the figure above, bc and ad are parallel, ab and ec are parallel, cd=ce, and the measure of angle abc is 115 degrees. what is

the measure of angle bcd
Mathematics
1 answer:
bonufazy [111]2 years ago
7 0

Answer:

"in the figure above" ?

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Hi can anyone help me with this ..​
aleksley [76]

Answer:

n = π/6, π/4, 3π/4, 5π/6

Step-by-step explanation:

sin(3n) − sin n = cos(2n)

Use double and triple angle formulas:

(3 sin n − 4 sin³ n) − sin n = 1 − 2 sin² n

2 sin n − 4 sin³ n = 1 − 2 sin² n

4 sin³ n − 2 sin² n − 2 sin n + 1 = 0

Factor by grouping:

2 sin² n (2 sin n − 1) − (2 sin n − 1) = 0

(2 sin² n − 1) (2 sin n − 1) = 0

Solve:

2 sin² n − 1 = 0

2 sin² n = 1

sin² n = 1/2

sin n = √2/2

n = π/4, 3π/4

2 sin n − 1 = 0

2 sin n = 1

sin n = 1/2

n = π/6, 5π/6

4 0
2 years ago
6(-2-3x)+8=68 Find x
yawa3891 [41]
6(-2-3x)+8=68 \\ 6(-2-3x)=60 \\ -12-18x=60 \\ -18x=72 \\ 18x=-72 \\ x= \frac{-72}{18} \\ \\  \boxed{x=-4}
3 0
3 years ago
Read 2 more answers
How did the temperature change if: at first it decreased by 60% and then increased by 80%. PLEASE NEED HELP!
Sergio039 [100]

The temperature decreased by 28%

Step-by-step explanation:

How did the temperature change if :

  • At first it decreased by 60%
  • Then increased by 80%

Assume that the temperature before decreasing is 100%

∵ The temperature before decreasing = 100%

∵ It decreased by 60%

→  Before decreasing  :  decreasing  :    after decreasing

→  100%                         :  60%              :    100% - 60% = 40%

∴ The temperature after decreasing = 40%

Assume that the temperature after decreasing is 100%

∵ The temperature after decreasing = 100%

∵ It increased by 80%

By using the ratio method

→  After decreasing  :  increasing  :    after increasing

→  100%                      :  80%             :   100% + 80% = 180%

→  40%                        :                       :   x%

By using cross multiplication

∴ 100% × x% = 40% × 180%

- Divide both sides by 100%

∴ x% = \frac{(40)(180)}{100}

∴ x% = 72%

∵ At first the temperature = 100%

∵ At last the temperature = 72%

∵ The first the temperature > the last the temperature

∴ The decreasing in temperature = 100% - 72% = 28%

The temperature decreased by 28%

Learn more:

You can learn more about ratio in brainly.com/question/2707032

#LearnwithBrainly

5 0
3 years ago
A square sandbox has an area of 75 square feet. Estimate the length of one of the sides of the
horsena [70]

Answer:

8.7

Step-by-step explanation:

Since a square has equal side lengths, the formula for area is s^2, where s stands for side. Since we are given the area, s^2=75 square feet. Take the square root of both sides to get s is equivalent to the square root of 75 square feet. When this becomes a decimal, it is 8.66 feet. Since we are supposed to round to the nearest tenths, it rounds up to 8.7 feet per side length

8 0
3 years ago
Can somebody please answer all of these questions and only if u know how to do this!!! Thanks
aliina [53]

Hi again I helped you on your last question, I love helping people. Anyway here's the answer!

16. 0.188 rounded nearest hundredth = 0.19

17.  0.455 rounded nearest hundredth = 0.46

18. 0.538 rounded nearest hundredth = 0.54

19. 0.417 rounded nearest hundredth = 0.42

20. 2.833 rounded nearest hundredth = 2.83

21. 3.667 rounded nearest hundredth = 3.67

4 0
2 years ago
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