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Liono4ka [1.6K]
3 years ago
13

In this diagram, m DCB = ???​

Mathematics
1 answer:
Elza [17]3 years ago
7 0

Answer:

  56°

Step-by-step explanation:

The two marked angles are supplementary, so total 180°.

  (2x +8) +(x -2) = 180

  3x +6 = 180 . . . . . . . . . . collect terms

  x + 2 = 60 . . . . . . . . . . . divide by 3

  x = 58 . . . . . . . . . . . . . . subtract 2

∠DCB = x-2 = 58 -2

∠DCB = 56

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√−100 = ___ +_____i<br> ...
Natalija [7]

Answer:

Step-by-step explanation:

Rewrite this as

\sqrt{(-1)(100)}

Knowing that i-squared = -1:

\sqrt{(i^2)(100)}

Both i-squared and 100 are perfect squares, so this simplifies to

±10i

7 0
3 years ago
What is the value of - 2/5 ÷ 3/4​
wlad13 [49]

Answer:-8/15

Step-by-step explanation:

5 0
2 years ago
Six years less than Tracy's age write it as a algebratic expression
docker41 [41]
 the answer would for the equation would beT-6 or 6-T
3 0
2 years ago
Read 2 more answers
Luiza wants to go on a popular talent TV show. In order to be accepted, her audition must get at least 60%
Elena-2011 [213]

We cannot reject the null hypothesis as the p value is less than 0.01.

<h3>How to illustrate the hypothesis?</h3>

From the information given, Luiza wants to go on a popular talent TV show and in order to be accepted, her audition must get at least 60% positive votes from the people in the crowd.

The observed outcome also has a probability less than 1% under the tested hypothesis. Based on the information, the test statistic will be - 1.58.

After this, this will be checked under the standard normal distribution table where the p value will be 0.0571.

Based on this information, we cannot reject the null hypothesis as the p value is less than 0.01.

In conclusion, the correct option is that we cannot reject the hypothesis.

Learn more about hypothesis on:

brainly.com/question/25263462

#SPJ1

3 0
1 year ago
Which function is represented in this graph?
UNO [17]

Answer:

y = tan (1/2 x - π/2) ⇒ the answer is (b)

Step-by-step explanation:

* Lets talk about the tangent function

- The tangent has a period of π, with each period separated by

 a vertical asymptote. The concept of "amplitude" doesn't

  really exist because -∞ < y < ∞

- You can transform the graph for tangent

∵ y = A tan B(x + C) + D

* Where:

# A, changes amplitude. (A always = 1)

# B determines the period.

# C determines how the graph is shifted from left to right.

  (horizontally)

# D determines how the graph is shifted up or down.(vertically)

∵ The basic function is y = tanФ has an amplitude of 1.

   It has a period of π. It has no phase or vertical shifts,

   because it is centered on the origin.

* Look to the problem

- From the graph:

- The period is 2π

∵ Period = π/B

∴ 2π = π/B ⇒ ÷ π

∴ 2 = 1/B

∴ B = 1/2

- the starting point of the function is at π instead of zero

∴ It moves π units to the right

∴ C = -π

∴ y = tan 1/2(x - π)

∴ y = tan (1/2 x - π/2)

* The function is ⇒ y = tan (1/2 x - π/2)

* The blue represents y = tanx

  The red represents y = tan (1/2 x - π/2)

6 0
3 years ago
Read 2 more answers
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