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VashaNatasha [74]
3 years ago
14

Please help solve for angles Q X and Z

Mathematics
1 answer:
Iteru [2.4K]3 years ago
6 0

Answer:

125

Step-by-step explanation:

Sum of Exterior Angles must add to 360 so

60 + 70 + 40 + 65 + x = 360

235 + x = 360

x = 125

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3cis(5pi/4) in polar form
madreJ [45]
Rectangular form:
z = -2.1213203-2.1213203i

Angle notation (phasor):
z = 3 ∠ -135°

Polar form:
z = 3 × (cos (-135°) + i sin (-135°))

Exponential form:
z = 3 × ei (-0.75) = 3 × ei (-3π/4)

Polar coordinates:
r = |z| = 3 ... magnitude (modulus, absolute value)
θ = arg z = -2.3561945 rad = -135° = -0.75π = -3π/4 rad ... angle (argument or phase)

Cartesian coordinates:
Cartesian form of imaginary number: z = -2.1213203-2.1213203i
Real part: x = Re z = -2.121
Imaginary part: y = Im z = -2.12132034
8 0
2 years ago
Sum of all digits in integers from one and a billion.
Daniel [21]

Answer:

The is coming this:-

500,000,500,000

Did you get this in vedantu

8 0
2 years ago
The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:
Stels [109]

Answer:

SAS postulate

Step-by-step explanation:

In the figure attached, quadrilateral ABCD is shown.

The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

AB is congruent to DC, and DB is the side common to triangles ABD and BCD. The included angle between sides AB and DB is angle ABD which is congruent with angle BDC, the angle included between sides DB and DC.

7 0
3 years ago
a towns population has been decreasing at a constant rate. In 2007 the population was 5100. by 2011 the population had dropped t
Gelneren [198K]
75, because 300 (5100-4800) divided by 4 ( 2007-2011) is 75. The towns population decreased at a constant rate of 75.
6 0
3 years ago
How many different 5-person subcommittees can be formed from a club having 12 members
Wittaler [7]
Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:

12x11x10x9x8 different combinations.

Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.

(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.

Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)

C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792
3 0
2 years ago
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