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Liula [17]
2 years ago
13

18

Mathematics
1 answer:
jonny [76]2 years ago
6 0

Answer:

280°

Step-by-step explanation:

There are 360° in a circle. you are given an arc that is 80°.

To find the arc JKI, subtract 80 from 360.

360 - 80 = 280°

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In ΔDEF, the measure of ∠F=90°, DE = 70 feet, and EF = 57 feet. Find the measure of ∠D to the nearest tenth of a degree.
kondor19780726 [428]

Answer:

  54.5°

Step-by-step explanation:

You know that in a right triangle, the sine of an angle is given by ...

  Sin = Opposite/Hypotenuse

  sin(D) = EF/ED = 57/70

The inverse sine function is used to find the angle:

  ∠D = arcsin(57/70)

  ∠D ≈ 54.5°

5 0
2 years ago
-3x(x+8)+x+2(9-x-x^2) please show solving steps
Flauer [41]

Answer:

-5x^2 - 25x + 18

Step-by-step explanation:

-3x ( x + 8 ) + x + 2 ( 9 - x - x^2 )  ( original equation )

-3x^2 - 24x + x + 18 - 2x - 2x^2   ( distribute )

-3x^2 - 2x^2 - 24x + x - 2x + 18   ( order them based on the variables . )

( -3x^2 - 2x^2 ) (- 24x + x - 2x ) ( + 18 )    ( just separated them not a part of solving !! )

-5x^2 - 25x + 18    ( solved , and the answer :) )

Hope its helps !!!

4 0
3 years ago
Divide: (5 + 4i) / (-3 – 2i)
Phantasy [73]

Answer:

<h2>-23/13 - 2/13i</h2>

Step-by-step explanation:

\frac{5+4i}{-3-2i}\\\\\mathrm{Apply\:complex\:arithmetic\:rule}:\\\\\quad \frac{a+bi}{c+di}\:=\:\frac{\left(c-di\right)\left(a+bi\right)}{\left(c-di\right)\left(c+di\right)}\:=\:\frac{\left(ac+bd\right)+\left(bc-ad\right)i}{c^2+d^2}\\\\a=5,\:b=4,\:c=-3,\:d=-2\\\\=\frac{\left(5\left(-3\right)+4\left(-2\right)\right)+\left(4\left(-3\right)-5\left(-2\right)\right)i}{\left(-3\right)^2+\left(-2\right)^2}\\\\Refine\\=\frac{-23-2i}{13}\\\\

\mathrm{Rewrite\:}\frac{-23-2i}{13}\mathrm{\:in\:standard\:complex\:form:\:}-\frac{23}{13}-\frac{2}{13}i\\

8 0
3 years ago
Which angles are adjacent to each other?
SashulF [63]

Answer:

Step-by-step explanation:

adjacent angles have a common vertex and a common ray

∠BEC and ∠AEB (common vertex E common ray EB)

5 0
3 years ago
Round to the thousandths place after
inessss [21]
The thousandths place is as follows
90\% = 0.900
7 0
3 years ago
Read 2 more answers
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