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2 years ago

Given triangle, ABC is congruent to triangle EDC find A

Mathematics

1 answer:

arlik [135]2 years ago

7 0

Answer:

m<A = 30 degrees.

Step-by-step explanation:

m < C in triangle ABC = m < C in EDC so

x + 13 + 42 + x + 13 = 180

2x = 180 - 13 - 13 - 42

2x = 112

x = 56.

So m < C = 56+13 = 69.

m < B = m < D = 81

M < A = 180 - 69 - 81

= 180 - 150 = 30.

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Calculate the area of the above irregular object

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Answer:

The area of the irregular object is 9 units.

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2 years ago

Alice and Amy decide to meet at a party. From a corner of the party hall, Amy spots Alice at the corner of the hall diagonally o

EleoNora [17]

Given that the hall is rectangular in shape, then the shortest path that Amy must travel to reach Alice would be through the hall's diagonal. Applying the Pythagorean theorem, with the length and width as the legs and the diagonal as the hypotenuse of the right triangle. Thus, diagonal = √ ( 100² + 60²) = √13 600 ≈ 116.62 ft The shortest distance, rounded off to the nearest foot, is 117 ft<span>. </span>

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3 years ago

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Find the annual interest rate I=$16 P=$200 T=2 years

nika2105 [10]

<span>0.0392 or 3.92%</span>
The exponential growth formula can find the interest rate.
$y=a(1+r)^{x}$
y - tolat value (P +I) (216)
a - principal (200)
r- rate (unkown)
x - time in years (2 yrs)
Substitute known values
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take the square root of both sides
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3 years ago

I need a answer asap Please!!

Ganezh [65]

Answer:

The ordered pairs (3 , 6) , (5 , 10) show a proportional relationship ⇒ last answer

Step-by-step explanation:

* Lets explain how to sole the problem

- Proportional relationship describes a simple relation between

two variables

- In direct proportion if one variable increases, then the other variable

increases and if one variable decreases, then the other variable

decreases

- In inverse proportion if one variable increases, then the other variable

decreases and if one variable decreases, then the other variable

increases

- The ratio between the two variables is always constant

- Ex: If x and y are in direct proportion, then x = ky, where k

is constant

If x and y in inverse proportion, then x = k/y, where k is constant

* Lets solve the problem

# Last table

∵ x = 3 and y = 6

∴ x/y = 3/6 = 1/2

∵ x = 5 and y = 10

∴ x/y = 5/10 = 1/2

∵ 1/2 is constant

∵ x/y = constant

∴ x and y are proportion

* The ordered pairs (3 , 6) , (5 , 10) show a proportional relationship

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3 years ago

In a population, 11% of people are left handed. In a simple random sample of 160 people selected from this population, the propo

castortr0y [4]

Answer:

The claimed proportion (population) is

$p=0.11$

The sample proportion (p-hat) is

$\hat{p}=0.10$

Step-by-step explanation:

In the population, we have the parameter p that is 11%.

$p=0.11$

Then, a sample of n=160 is taken and the proportion of the sample is 0.10.

$\hat{p}=0.10$

The sample proportion p-hat can differ from the population's proportion. There is a sampling distribution that gives the possible values of the sample proportion taken out of this population and its associated probabilities.

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3 years ago