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MariettaO [177]
2 years ago
12

A Similar Triangles Lesson Quiz

Mathematics
1 answer:
Naddik [55]2 years ago
3 0

Answer:  D. 72°

Step-by-step explanation:

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Which number line shows the solution set for |p-3|=9?
Mademuasel [1]

Answer:

Option b

p = -6 or p = 12

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function f(x) = |x|  x> 0 for all real numbers.

Then the equation:

|p-3| = 9 has two cases

(p-3) = 9    if h > 3  (i)

-(p-3) = 9    if h < 3 (ii)

We solve the case (i)

p = 9 + 3\\p = 12

We solve the case (ii)

-p +3 = 9\\p = 3-9\\p = -6

Then the solution is:

p = -6 or p = 12

3 0
3 years ago
The height of tower a is 802 feet more than tower
igomit [66]

The height of tower A is 1016 feet and tower B is 212 feet.

<u><em>Explanation</em></u>

Suppose , the height of tower B is h feet.

As the height of tower A is 802 feet more than tower  B , so the height of tower B will be : (h+802) feet

Given that, the two towers have a combined height of 1226 feet.

So, the equation will be...

h+(h+802)=1226\\ \\ 2h=1226-802\\ \\ 2h=424\\ \\ h= \frac{424}{2}=212

Thus, the height of tower B is 212 feet and height of tower A is (212+802) feet = 1016 feet.


5 0
3 years ago
Which of the following is equivalent to the expression below?
AfilCa [17]

Step-by-step explanation:

7x + 8 + 15 - 7x

Solving like terms

23

Option C is the correct answer

5 0
3 years ago
Read 2 more answers
An equation is shown below:
Aloiza [94]
8(2x - 14) + 13 = 4x - 27
Simplify the parentheses
16x-112+13= 4x-27
Simplify the non-x terms
16x-99=4x-27
Move the terms of x to one side
12x=72
Divide
x=6
4 0
3 years ago
Simplify the expression 8 − 3n when n = 12.
Schach [20]
The answer is 8-36 when n=12
4 0
4 years ago
Read 2 more answers
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