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Llana [10]
3 years ago
12

(15) Geometry Help plz

Mathematics
1 answer:
MakcuM [25]3 years ago
6 0
X = measure of angle 1
y = measure of angle 2
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:

y=-10x+89

Step-by-step explanation:

Remember that the derivative tells us the slope of the tangent line at a given point.

So, we want to find the equation of the tangent line to f(x) at x=8.

We are given that f'(8) is -10.

In other words, the slope of the tangent line to f(x) at x=8 is -10.

We also know that f(8)=9. In other words, we have the point (8,9).

So, we can use the point-slope form to figure out the equation:

y-y_1=m(x-x_1)

Substitute -10 for m and let (8,9) be (x₁, y₁). So:

y-9=-10(x-8)

Distribute the -10:

y-9=-10x+80

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3 years ago
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Ax+By=C


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