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Lemur [1.5K]
3 years ago
10

What is the solution to the following equation? (4 points)

Mathematics
2 answers:
Kipish [7]3 years ago
5 0
A
6x-14+18=10
6x+4=10
6x=6
X=1
xxMikexx [17]3 years ago
5 0
It’s 1, so a

2(3x-7)+18=10
2(3x-7)=-8
3x-7=-4
3x=3
X=1
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. Are the triangles similar and if so why? What is the value of x? Show your work. Answer:
alexdok [17]

Answer:

  yes; x=7

Step-by-step explanation:

When two corresponding angles are congruent, all angles are congruent, so the triangles are similar. The sides of the triangle on the right are 30/25 = 6/5 times the length of the sides of the left triangle, so side MP will be 6/5 times the length of JL, or (6/5)·20 = 24.

Then the expression for that length lets us find the value of x:

  24 = 4x -4

  6 = x -1 . . . . . divide by 4

  7 = x . . . . . . . add 1

5 0
4 years ago
What is the cube of 6? <br> a. 36 <br> b. 18 <br> c. 216 <br> d. 42
dezoksy [38]
6 × 6 × 6
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5 0
3 years ago
Read 2 more answers
Can I get some help on this one and if you could show its done I would appreciate it. Thank you.
Andreyy89
<h3>Answer: 5.5 which is choice B</h3>

Have a look at the diagram I posted below. I marked on your image to add in another angle. This angle is also 20 degrees because of congruent alternate interior angles (horizontal lines are parallel). This angle I add in is the reference angle of the triangle

opposite the reference angle is the vertical side x

adjacent to the reference angle is the horizontal side 15

We'll use the tangent rule. Make sure your calculator is in degree mode.

tan(angle) = opposite/adjacent

tan(20) = x/15

15*tan(20) = x <<-- multiply both sides by 15

x = 15*tan(20)

x = 5.45955 <<--- use calculator; this is approximate

x = 5.5 <<--- round to one decimal place

5 0
3 years ago
The sum of 4 consecutive even integers is 180. What are the integers?
Anarel [89]

Answer:

42, 44, 46, 48

Step-by-step explanation:

Let x be the first number. Then x + x + 2 + x + 4 + x + 6 = 180.

We can combine like terms, getting 4x + 12 = 180.

Then we get x as 42.

The numbers are 42, 44, 46, 48.

8 0
4 years ago
What number times itself gives 256
GalinKa [24]

Answer:

16

Step-by-step explanation:

16 × 16 = 256

√256 = 16

hope this helps...

8 0
3 years ago
Read 2 more answers
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