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ludmilkaskok [199]
3 years ago
11

Triangle ABC maps to triangle XYZ by a rotation of 90∘ counterclockwise about the origin followed by a reflection across the lin

e y=x. In triangle ABC, m∠A=45∘, m∠B=55∘, and m∠C=80∘.
What is the measure of ∠Y?
Enter your answer as the correct value, like this: 42
Mathematics
2 answers:
VikaD [51]3 years ago
5 0

Answer:123

Step-by-step explanation:

Add

eduard3 years ago
3 0

Answer:

55

Step-by-step explanation:

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Can someone show me how to factor this please?
Alex_Xolod [135]

Answer:

\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}

Step-by-step explanation:

We want to solve the equation:

2\sin ^2 \theta + 3\sin \theta + 1 = 0

In the interval [0, 2π).

Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:

\displaystyle 2u^2 + 3u + 1 = 0

Factor:

\displaystyle (2u+1)(u+1) = 0

By the Zero Product Property:

\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0

Solve for each case:

\displaystyle u = -\frac{1}{2} \text{ or } u = -1

Back-substitute:

\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1

Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:

\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}

8 0
3 years ago
The sum of n A.M.'s between two numbers is 20. If the last mean is double of the first and one number is three times the other,
tester [92]

Answer:  

120

Step-by-step explanation: because you add 20 twice and thts 40 and 40 times 3 is 120

4 0
4 years ago
What is x*x-2x if x = -3
sveticcg [70]

Put the value of x = -3 to the expression x · x - 2x:

<h3>(-3)(-3) - 2(-3) = 9 + 6 = 15</h3>
5 0
3 years ago
A skateboarder went a kilometer in 3 minutes with the wind, and returned in four minutes against the wind.
inn [45]

Step-by-step answer:

Answer to problems of this kind is the reciprocal of the harmonic mean of the time required.

We need to find the average of the speeds, not the average of the time.

The respective speeds are 1/3 and 1/4.

The average of the speeds is therefore (1/3+1/4)/2 = 7/24  (harmonic mean of the time taken).

The time required is therefore the reciprocal of the unit speed,

T = 1/(7/24) = 24/7 = 3 3/7 minutes, or approximately 3.43 minutes.

8 0
3 years ago
Can I get some help :/ ?
serious [3.7K]
1.750
3.516540
4.354.2
5.3560
6.4.73
7.1277.2
8.4544
9.813000
10.0.02532
11.3160000
12.0.00335
13.26310
14. 918.7
15. 9320
16.8.42
17.45160000
18.0.005435
19.2450
20.656.9

Hope this helps!
4 0
3 years ago
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