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4 years ago

Consider the diagram. The congruence theorem that can be used to prove △BAE ≅ △CAD is SSS. ASA. SAS. HL.

Mathematics

2 answers:

vesna_86 [32]4 years ago

6 0

I think the answer is d

Tema [17]4 years ago

3 0

Answer:

The answer is HL which is option D.

Step-by-step explanation:

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the population of alaska is approximately 6.5 * 10^(5) people the populatio of illinois's is about 1.3 * 10^(7)people. how many

Wewaii [24]

Answer:

20 times greater

Step-by-step explanation:

Given the following

Population of alaska = 6.5 * 10^(5) people

Population of illinois's = 1.3 * 10^(7)people.

To know the number of times population of Illinois in the population of Alaska, we will take their population ratio;

Ratio = Population of illinois's /Population of alaska

Ratio = 1.3 * 10^(7)/6.5 * 10^(5)

Ratio = 0.2 * 10^7-5

Ratio = 0.2 * 10^2

Ratio = 20

Hence the population of Illinois is 20 times greater than population of alaska

8 0

3 years ago

Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?

densk [106]

Answer:

$A.\ y = x^2 - 6x + 13$ is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

$y = a(x-h)^2+k$

where $(h,k)$ is the vertex of the parabola and

$(x,y)$ are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of $x^{2}$ is positive.

Let $a = +1$

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

$\therefore$ $h = 3$

Putting value of a and h in the equation:

$y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k$

Formula used: $(a-b)^2=a^{2} +b^{2} -2\times a \times b$

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing $y = x^2 - 6x + 13$ and $y = x^2-6x+9+k$

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is $A.\ y = x^2 - 6x + 13$

3 0

3 years ago

Read 2 more answers

What is the y intercept of the line

bija089 [108]

Answer:

The y-intercept of this line is 1.

Step-by-step explanation:

We are looking for the y-value when x=0. And that value is 1

5 0

3 years ago

Read 2 more answers

SOMEONE HELP ME PLS<br><br> Solve for x.

faltersainse [42]

Answer:

X equals 6°.

Step-by-step explanation:

There is a geometry rule that states the outer angle of a triangle's interior angle is equivalent to the sum of the remaining two interior angles of the triangle. Following this rule, you can get that (6x + 8) + (5x + 8) = 82° ⇒ 11x + 16 = 82° ⇒ 11x = 66° ⇒ x = 6°.

6 0

3 years ago

Suppose that prices of recently sold homes in one neighborhood have a mean of $265,000 with a standard deviation of $9300. Using

Hatshy [7]

Answer:

Range = (237100, 292900)

Step-by-step explanation:

Using Chebyshevs Inequality:

$P(|X - \mu | \le k \sigma )\ge 1 -\dfrac{1}{k^2}= 0.889$