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Vaselesa [24]
4 years ago
5

Find the angle measure given the figure is a rhombus.

Mathematics
1 answer:
Pani-rosa [81]4 years ago
3 0

Answer:

Angle 1 = 156°

Step-by-step explanation:

The angle opposite 12 is also equal to 12 because the rhombus is split into two congruent triangles.

The other part about a rhombus is that the line angles in half meaning that where 12 is cut in half, the full angle is 24.

With this info, we now know that the other two angles that are in the triangle with angle 1 have a sum of 24°  

Subtract: 180 - 24 = 156°

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Given that k(x) = (2x + 4)2
taurus [48]

Answer:

f(x)=4x\\g(x)=x+2

Step-by-step explanation:

Because we have to rewrite this equation in the format f(g(x)), we have to divide, or factor to find basic terms,

Expanding the value of k(x), we have k(x)=4x+8. We see that each term can be divisible by 4, so we can factor out 4 to get

k(x)=4(x+2)

Now, we have two different terms getting multiplied. We can separate the two to get 4 \text{ and} (x+2)

Because we are multiplying 4 by the other term, this is represented by 4x

Now, we can just set f(x) and g(x) to these functions:

f(x)=4x\\g(x)=x+2

Now, just to make sure, we can plug a value into k(x) and the same value into f(g(x)). Plugging in 1, we have (2(1)+4)2 as 2(2+4), which is 2(6) = 12.

Plugging 1 into f(g(x)), we can evaluate g(1) first, to get 1 + 2 = 3. Now, f(3) = 4(3)= 12, which is the same for k(x).

3 0
3 years ago
Angelo can inspect 2 cars in about 25 minutes. If Angelo continues to inspect cars at this rate, which of the following is NOT a
mafiozo [28]

Answer:

A A AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA

Step-by-step explanation:

6 0
3 years ago
Sam started his homework at 5:20. If his homework took him 1 hour and 35 minutes, is it true that he finished his homework at 6:
charle [14.2K]

Answer:

False

Step-by-step explanation:

5:20 + 1:35 is 6:55, not 6:40/

8 0
2 years ago
Read 2 more answers
Which expression gives the x-coordinate of the solution of the system?
Hatshy [7]
1) the x-coordinate of the system can be given as follow:
2x+3y = 5  (i)
3x+5y =7    (ii)
we  multiply (i) by 5 and (ii)  by 3, we have
 10x+15y = 25 (a)
  9x+15y =21   (b)
so (a) - (b) implies  x = 4,

2) We do the same method for
{2x + y = 2
{3x + 4y = -22,

and we found y = -10,
3) for the last one,
{5x + 4y = 2
{-2y = 8 + 4x
this system is equivalent to
{5x + 4y = 2  (i)
{4x + 2y = - 8  (ii)
so, multiply  (i) by 4 and (ii) by 5, and we have
20x + 16y = 8  (a)
20x +  10y = -40  (b)
elimination of x gives  6y = 48 then y= 8, we can find x fastly by replacing y=8 in (i), so 5x +4(8) =2, which implies  x= -6
finally the solution is S= {(-6, 8)}
 
 







7 0
3 years ago
Choose the phrase that best completes the sentence.
Mila [183]

When you take the square root of 11, the result is neither a terminating nor a repeating decimal. Therefore, it is: 2. <u>irrational number</u>.

<h3>The types of numbers.</h3>

In Mathematics, there are six (6) common types of numbers and these include the following:

  • Natural (counting) numbers
  • Whole numbers
  • Rational numbers
  • Irrational numbers
  • Real numbers
  • Integers

<h3>What is an irrational number?</h3>

An irrational number can be defined a type of number which comprises non-terminating or non-repeating decimals such as the square root of 11.

In conclusion, when you take the square root of 11, the result is neither a terminating nor a repeating decimal. Therefore, it is an <u>irrational number</u>.

Read more on irrational number here: brainly.com/question/20400557

#SPJ1

7 0
1 year ago
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