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Scilla [17]
3 years ago
13

Given that

a"> = 7, find the value of 4^x^-^1.
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
7 0

Answer:

\dfrac{49}{4} = 12.25

Step-by-step explanation:

4^{x-1} =

= (2^2)^{x - 1}

= 2^{2(x - 1)}

= 2^{2x - 2}

= 2^{x + x - 2}

= 2^x \times 2^x \times 2^{-2}

= 7 \times 7 \times \dfrac{1}{2^2}

= \dfrac{49}{4} = 12.25

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X = measure of angle 1
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z = measure of angle 3
w = measure of angle 4

Focus on the bottom triangle. The three angles add to 180 degrees
(angle 2) + (angle 3) + 116 = 180
y+z+116 = 180
y+z= 180-116
y+z= 64

Since we have the bottom triangle as isosceles, this means that y = z, so
y+z = 64
y+y = 64
2y = 64
y = 64/2
y = 32
making z = 32 as well

Similarly, angle 1 and angle 4 are 32 degrees because the 116 angle is opposite the top left-most angle, and congruent to this angle. In other words, the bottom triangle is a mirror image of the top triangle.

The figure is a rhombus because all four sides are the same length (as shown by the tickmarks)

-----------------------------------------------------------

Answer: 
This figure is a rhombus
All four angles (angle 1 through angle 4) are the same measure. They are each 32 degrees

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Answer:

slope = 4

Step-by-step explanation:

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4

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