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lana66690 [7]
3 years ago
14

Please help !! Solve: 4^3x = 4^2

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0

Answer: x=1/4

Step-by-step explanation:

<u>Simplify both sides of the equation.</u>

<u></u>64x=16<u></u>

<u></u>

<u>Simplify both sides of the equation</u>

<u></u>64x/64=16/64<u></u>

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How do I construct bisectors, angles, &amp; segments?
Doss [256]

Answer:

Step-by-step explanation:

These come directly from my textbook, so I'm not sure if your teacher will accept this kind of work.

1. Angle construction:

Given an angle. construct an angle congruent to the given angle.

Given: Angle ABC

Construct: An angle congruent to angle ABC

Procedure:

1. Draw a ray. Label it ray RY.

2. Using B as center and any radius, draw an arc that intersects ray BA and ray BC. Label the points of intersection D and E, respectively.

3. Using R as center and the same radius as in Step 2, draw an arc intersecting ray RY. Label the arc XS, with S being the point where the arc intersects ray RY.

4. Using S as center and a radius equal to DE, draw an arc that intersects arc XS at a point Q.

5. Draw ray RQ.

Justification (for congruence): If you draw line segment DE and line segment QS, triangle DBE is congruent to triangle QRS (SSS postulate) Then angle QRS is congruent to angle ABC.

You can probably also Google videos if it's hard to imagine this. Sorry, construction is super hard to describe.

4 0
3 years ago
Simplify (sinx + cosx) ^2/ sin2x
Aleksandr [31]

\csc 2x+1

Step-by-step explanation:

  • \frac{(\sin x+\cos x)^2}{\sin2x}

  • We expand (\sin x+\cos x)^2 using algebraic identity (a+b)^2=a^2+b^2+2ab

  • =\frac{\sin^2x+\cos^2x+2\sin x.\cos x}{\sin2x}

  • = \frac{1+\sin2x}{\sin2x}

  • =\frac{1}{\sin2x}+\frac{\sin2x}{\sin2x}

  • =\csc 2x+1
8 0
2 years ago
Based on the diagram...what is the value of x??
shusha [124]
Answer: 22.5

Explain:
First, I divided 15 by 4 since there are 4 bars
That got me 3.75
Then, I multiple 15 by 3.75
To get the answer 22.5
4 0
3 years ago
B) A men earns Rs.50000 in a month. He spends 30% of his income on foood
mafiozo [28]

Answer:

\huge\mathfrak\pink{ here's your solution } \\  \\ im \: soo \: happy \:

7 0
3 years ago
Katherine has a $10 gift certificate
LUCKY_DIMON [66]

Answer:

Katherine will pay $55.24.

Step-by-step explanation:

32.78 + 27.24 + 5.22

= 65.24

65.24 - 10

= 55.24

Katherine will pay $55.24.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

4 0
3 years ago
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