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tresset_1 [31]
3 years ago
11

Can someone please help me answer this?

Mathematics
1 answer:
TEA [102]3 years ago
4 0
If the two angles are congruent then d=b , e=a , and f=c. That means that EF=AC so the equation is x-5=15. so x=20. Hope this helps!!!
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The Atlanta Journal Constitution conducted a survey of 900 registered voters to determine which voting method they prefer. The A
photoshop1234 [79]

Answer:

a) (0.576, 0.624)

Step-by-step explanation:

Given that the sample proportion (p) = 60% = 0.6, sample size (n) = 900, confidence (C) = 85%

α = 1 - C = 1 - 0.85 = 0.15

α/2 = 0.075

The z score of α/2 (0.075) corresponds with the z score of 0.425 (0.5 - 0.075) which is equals to 1.44, hence z_\frac{\alpha }{2} =1.44

The margin of error (E) is:

E=z_\frac{\alpha }{2} *\sqrt{\frac{p(1-p)}{n} } =1.44*\sqrt{\frac{0.6(1-0.6)}{900} } = 0.024

The confidence interval = p ± E = 0.6 ± 0.024 = (0.576, 0.624)

7 0
3 years ago
If z = a - bi, which of the following must be true of the imaginary part of the complex conjugate of z?
raketka [301]
If z = a-bi,   the complex  conjugate of z  is  a + bi. 

So the imaginary part is  "b" 

"b" is opposite of -b,  so  correct answer is  c)
4 0
4 years ago
Every year on November 1, the Stablo family plants a tree. This tradition has happened for generations and the first tree the fam
LenKa [72]

Answer:

Apple- 14 Maple- 154

Step-by-step explanation

Since 11 x n - n is equal to a number that ends in 10, 20 etc. and the number has to be a multiple of 11 for the maple tree, and the difference has to stay the same throughout two all we need to find is 15 x n = a number that is divisable by 10. 15 x 10 = 150 so that's the age of the trees this year, and the difference between the trees is 140 so it corresponds with our rule. and the multiple of 11 that the difference is 140 is 11 x 14 = 154 and 154 - 11 = 140. Therefore the apple tree is 14 years old and the maple tree is 154 years old.

8 0
3 years ago
Match the quadrilateral with the best and most complete description.
vladimir2022 [97]

Answer:

See  explanation below.

The selection of drop down arrows from top to bottom should be:

5; 4; 1; 2; 3

Step-by-step explanation:

Quadrilateral with exactly ONE set of parallel sides: Trapezoid  (option 5)

Parallelogram with 4 congruent (equal) sides and 4 right angles: square (option 4)

Quadrilateral with 2 pairs of parallel sides (notice no reference to angles between sides and constrain about similarity in side length - so this os the most general description): parallelogram (option 1)

Parallelogram with 4 right angles (notice no constrain about the length of the sides): rectangle (option 2)

Parallelogram with 4 congruent sides (notice there is no constrain about the angles between the sides): rhombus (option 3)

3 0
4 years ago
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
jarptica [38.1K]

Answer:

xx=\sqrt{19^2-10^2}=\sqrt{361-100}  =\sqrt{261} \approx16.15549\\\approx16.16

Step-by-step explanation:

x=\sqrt{19^2-10^2}=\sqrt{361-100}  =\sqrt{261} \approx16.15549\\\approx16.16

4 0
3 years ago
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