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Lena [83]
3 years ago
10

Solve for the value of x.

Mathematics
1 answer:
alexandr402 [8]3 years ago
8 0

Answer:

x = 15

Step-by-step explanation:

Similar triangles and proportional side lengths.

10/4 = x/6

5/2 = x/6

2x = 5 * 6

2x = 30

x = 15

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Find the diagonal of a square whose sides are of the given measure. Given = 6sqrt2
jeyben [28]

Answer:

=12 units

Step-by-step explanation:

When a square is cut along one diagonal, it forms a right angled triangle whose legs are the sides of the square and the hypotenuse is the diagonal of the square.

Therefore, the Pythagoras theorem is used to find the hypotenuse.

a² + b² = c²

(6√2)²+(6√2)²=c²

72+72=c²

c²=144

c=√144

=12

The diagonals of the square measure 12 units each.

 

6 0
3 years ago
Select the correct answer. A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line? y =
aniked [119]

Answer:

The equation of the line is:

  • y\:=\:\frac{3}{2}x\:-12

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given

  • y-intercept b = -12
  • slope m = 3/2

now substituting b = -12 and m = 3/2 in the slope-intercept form of line equation

y = mx+b

y\:=\:\frac{3}{2}x\:+\:\left(-12\right)

y\:=\:\frac{3}{2}x\:-12

Therefore, the equation of the line is:

  • y\:=\:\frac{3}{2}x\:-12
8 0
3 years ago
Gabby is a makeup artist and carries a lot of makeup around with her. she has 20 cosmetics in her bag, including 4 eye shadows.
myrzilka [38]

Answer:

1/5

Step-by-step explanation:

this is because 4/20 simplifies to 1/5

give brainliest please.

hope this helps :)

7 0
2 years ago
$32.00 for 10 cookies<br> Unit rate.
Nadya [2.5K]

Answer:

$32/10 = $3.2/cookie

Step-by-step explanation:

5 0
3 years ago
One gym charges a $50 sign up fee and $65 per month. Another gun charges a $90 sign up fee and $45 per month. Foe what number of
alina1380 [7]
2 months.
the equations are
65m+50 and 45m+90
you set them equal together
65m+50=45m+90 
and you get 2.
8 0
3 years ago
Read 2 more answers
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