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liberstina [14]
3 years ago
9

Consider ΔABC ~ ΔXYZ. What is the value of tan(A)? What is the value of tan(X)? What is true about the two tangent ratios?

Mathematics
2 answers:
Vinvika [58]3 years ago
8 0

Answer:

1. 3/4

2. 3/4

3. tan(X) = tan (A)

Step-by-step explanation:

irina [24]3 years ago
7 0

Answer:

1. 3/4

2. 3/4

3. tan(X) = tan (A)

Step-by-step explanation:


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4x + 6 = 9 is the equation
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You have read 4 of the books shown. Which choice shows 2 ways of writing the fraction of these books that you read?
Olegator [25]
  • Total books read: 4
  • Total books in list: 12

So it can be shown as:

\sf \dfrac{read \ books}{total \ books \ in \ list}

\hookrightarrow \sf \dfrac{4}{12}

on simplifying

\hookrightarrow \sf \dfrac{1}{3}

So, option 1 is correct.

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Find the area of the regular trapezoid. The figure is not drawn to scale. The top side is 4, the bottom side is 7, and both side
svp [43]
A regular trapezoid is shown in the picture attached.

We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5

Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:

AH = (AB - DC) ÷ 2
      = (7 - 5) ÷ 2
      = 2 ÷ 2
      = 1

Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²) 
      = √(5² - 1²)
      = √(25 - 1)
      = √24
      = 2√6

Last, we have all the information needed in order to calculate the area by the formula:

A =  \frac{(AB + CD)DH}{2}

A = (7 + 5) × 2√6 ÷ 2
   = 12√6

The area of the regular trapezoid is 12√6 square units.

7 0
3 years ago
Which of the following inequalities represents all values of x for which the quotient below is defined? sqrt 21(x-1) divided by
Triss [41]

Answer:

the answer to your question is D

4 0
3 years ago
A piece of a chain's length and weight are in proportion. If 320 cm of chain weighs 8 kg, then
Dafna11 [192]

Answer:

B. 80 cm of chain weighs 2 kg.

Step-by-step explanation:

In order to choose the correct answer, we need to define the comparative relation between the length and weight of the chain. We will do this by performing the simple operation of division.

It is easier to divide the larger number by the smaller and that is what we will show here (although <em>you can do as you wish and still get the same result</em> - it's math!):

320 ÷ 8 = 40

The result we got is 40. This means that <u>the length of the chain is equal to the value of forty of its weights!</u> And this will be the operation we will perform in order to determine the right answer:

A) Does 2 (kg) multiplied by 40 equal 40 (cm)? No, therefore, it is incorrect.

B) Does 2 (kg) multiplied by 40 equal 80 (cm)? <u>Yes, this answer is correct!</u>

Just in case, we will perform this action with the rest of the possible choices:

C) 4 kg × 40 = 160 and NOT 80 cm.

D) 2 kg × 40 = 80 and NOT 160 cm.

5 0
3 years ago
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