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vichka [17]
3 years ago
5

Explain how you know that the sum of 12.6,3.1, and 5.4 is greater than 20

Mathematics
1 answer:
ozzi3 years ago
5 0
By just looking at ur whole numbers...12 + 3 + 5 = 20...and thats not even counting ur decimals..so by adding ur decimals, u know that it will be over 20.
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Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length o
kumpel [21]

Answer:

Three-fourths

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

∠QSR≅∠XZY ---> given problem

∠QRS≅∠XYZ ---> given problem

so

△QRS ~ △XYZ ----> by AA Similarity theorem

Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

That means

\frac{QS}{XZ}=\frac{QR}{XY}=\frac{RS}{YZ}

∠Q≅∠X

∠R≅∠Y

∠S≅∠Z

<em>In the right triangle XYZ</em>

Find the tangent of angle X

tan(X)=\frac{YZ}{XZ} ---> opposite side angle X divided by adjacent side angle X

substitute the given values

tan(X)=\frac{9}{12}

Simplify

tan(X)=\frac{3}{4}

Remember that

∠Q≅∠X

so

tan(Q)=tan(X)

therefore

tan(Q)=\frac{3}{4} ---->Three-fourths

7 0
3 years ago
Read 2 more answers
The average amount of time to finish this quiz is 26 minutes with a standard deviation of 1.2 minutes. What is the probability t
boyakko [2]

Answer:

What is the probability that you will finish this quiz in 23.84 minutes or less?

0.03593

Write your answer as a percentage with 2 decimals

= 3.59%

Step-by-step explanation:

The z score formula is given as:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 26 minutes

Standard deviation = 1.2 minutes.

The probability that you will finish this quiz in 23.84 minutes or less(≤) is calculated as:

z = (x-μ)/σ

z = 23.84 - 26/1.2

z = -1.8

Probability value from Z-Table:

P(x ≤ 23.84) = 0.03593

Converting to percentage

0.03593 × 100

= 3.593

Approximately to 2 decimal places = 3.59%

7 0
3 years ago
Polygon ABCD is translated to create polygon A′B′C′D′. Point A is located at (1, 5), and point A′ is located at (-2, 3). Which e
kumpel [21]

Answer:

(x',y')-->(x-3,y-2)

Step-by-step explanation:

Notice that we can get from the x-coordinate of A, 1, to the x-coordinte of A', -2, by subtracting 3 from the x-coordinate of A. More formaly:

1+a=-2

a=-2-1

a=-3

Similarly, we can get from the y-coordinate of A, 5, to the y-coordinate of A', 3, by subtracting 2 from the y-coordinte of A. More formaly:

5+b=3

b=3-5

b=-2

Now we now that to get to A' from A, we need to subtract 3 to the x-coordinate of A and subtract 2 to the y-coordinate. Knowing this, we can create the expression to translate any point of the polygon ABCD to create the polygon A'B'C'D':

(x',y')-->(x-3,y-2)

3 0
3 years ago
Which graph represents a function?<br> Graph A <br> Graph B<br> Graph C<br> Graph D
Fiesta28 [93]
Graph A represents a function
3 0
3 years ago
Read 2 more answers
Which equation represents the relationship shown in the graph below?
fomenos
I believe the answer is B
:)
3 0
4 years ago
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