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4 years ago

Image attached. Geometry: finding angles

Mathematics

1 answer:

miv72 [106K]4 years ago

4 0

Answer:

28 degrees

Step-by-step explanation:

Because a triangle equals 180, you can subtract 90 and 34 from triangle ABE to leave you with 56 degrees for angle B.

Since CBA is a straigth line with 180 degrees, you can subtract 56 to end up with 124 degrees for angle CBE.

Since line BD bisects angle EBC (splits in half), you can divide the 124 degrees into 62 degrees.

Now that we know angle CBE equals 62 degrees, we can add the 90 degrees and subtract them from the 180 degrees of the triangle.

62+90=152

180-152=28

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Please find the general limit of the following function:

valentinak56 [21]

Answer:

The general limit exists at <em>x</em> = 9 and is equal to 300.

Step-by-step explanation:

We want to find the general limit of the function:

$\displaystyle \lim_{x \to 9}(x^2+2^7+(9.1\times 10))$

By definition, a general limit exists at a point if the two one-sided limits exist and are equivalent to each other.

So, let's find each one-sided limit: the left-hand side and the right-hand side.

The left-hand limit is given by:

<h3> $\displaystyle \lim_{x \to 9^-}(x^2+2^7+(9.1 \times 10))$ </h3>

Since the given function is a polynomial, we can use direct substitution. This yields:

$=(9)^2+2^7+(9.1\times 10)$

Evaluate:

$300$

Therefore:

$\displaystyle \lim_{x \to 9^-}(x^2+2^7+(9.1 \times 10))=300$

The right-hand limit is given by:

$\displaystyle \lim_{x \to 9^+}(x^2+2^7+(9.1\times 10))$

Again, since the function is a polynomial, we can use direct substitution. This yields:

$=(9)^2+2^7+(9.1\times 10)$

Evaluate:

$=300$

Therefore:

$\displaystyle \lim_{x \to 9^+}(x^2+2^7+(9.1\times 10))=300$

Thus, we can see that:

$\displaystyle \lim_{x \to 9^-}(x^2+2^7+(9.1\times 10))=\displaystyle \lim_{x \to 9^+}(x^2+2^7+(9.1\times 10))=300$

Since the two-sided limits exist and are equivalent, the general limit of the function does exist at <em>x</em> = 9 and is equal to 300.

8 0

3 years ago

Read 2 more answers

Which of the following is not necessarily true for independent events A and B? P (A intersection B )equals P (A )P (B )P (A vert

Sauron [17]

Answer:

P(A U B)=P(A)+P(B)

Step-by-step explanation:

Reading the options that we have for the answer, one of them (the first one) is the definition of being independent. A and B are independent if and only if P(A ∩ B)=P(A)*P(B).

So the first one IS necessary true for independent events and with this equation, option two and three are necessary true for independent events:

For definition of P(A | B)

P(A | B)= P(A ∩ B) / P(B)

And we replace P(A ∩ B) using the first option that we know it´s true:

P(A | B)= P(A)*P(B) / P(B)= P(A)

So P(A | B)=P(A) it´s true for A and B independent.

The same process goes to show P(B | A)=P(B)

Because of this, the only one of the options that could not be true for independent events is P(A ∪ B)=P(A) + P(B), and this happens because P(A ∩ B)=P(A)*P(B) applies but it could be different from 0 considering P(A ∪ B)=P(A) + P(B) - P(A ∩ B). We conclude this property (P(A ∪ B)=P(A) + P(B)) is not necessary true for A and B independent.

6 0

3 years ago

0.33 (decimal) as a fraction in lowest term

kompoz [17]

Answer:

1/3

Step-by-step explanation:

0.33* 3 is 99.9, which is as close to one hundred as possible

7 0

4 years ago

Read 2 more answers

For brainiest:)):):):):):)

Elenna [48]

Answer:

1.) a

2.) ?

Step-by-step explanation:

5 0

3 years ago

Write an equation in slope-intercept form and then in standard form for each line described. y-intercept -2; x-intercept 5

Xelga [282]

Hello
the line passes by A ( 0 ; -2) and B (5 ; 0) equation : y = ax+b
a is a slop : a = (yb - ya)/(xb -xa)
a = (0+2)/(5-0)
a =2/5
y = (2/5)x+b
if x=5 and y= 0
0 = (2/5)(5)+b
b= - 2
the equation is : y = (2/5)x-2

5 0

3 years ago