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diamong [38]
3 years ago
15

HELPPP PLS The polygons to the right are similar. Find the value of each variable. show work

Mathematics
1 answer:
Trava [24]3 years ago
5 0

Answer:

7/24

Step-by-step explanation:

The simplest form of 14/48 is 7/24  

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 14 and 48 is 2

Divide both the numerator and denominator by the GCD

14 ÷ 2

48 ÷ 2

Reduced fraction:

7

24

Therefore, 14/48 simplified to lowest terms is 7/24.

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two blocks of wood are shaped as right rectangle prisms the smaller block has a length of 9 cm a width of 3 cm and a height of 7
dolphi86 [110]

Answer:

1,512 cm³

Step-by-step explanation:

The general formula for the volume of a prism is:

V= Bh, where B = the area of the base and h = height of the prism

Given the dimensions of the smaller block as 9cm x 3cm x 7cm, then the dimensions of the larger block (double the dimensions of the smaller block) must be 18cm x 6cm x 14cm.  Using these measurements:

V = (18)(6)(14) = 1,512 cm³

3 0
3 years ago
Solve the following 3 × 3 system. Enter the coordinates of the solution below.
defon

9514 1404 393

Answer:

  (x, y, z) = (-1, 0, -3)

Step-by-step explanation:

We notice that the coefficients of z are such that elimination of the z term from the equations is made easy.

Adding equations 1 and 2:

  (2x -3y -2z) +(x +3y +2z) = (4) +(-7)

  3x = -3

  x = -1

Adding equations 2 and 3:

  (x +3y +2z) +(-4x -4y -2z) = (-7) +(10)

  -3x -y = 3

Substituting for x, we get ...

  (-3)(-1) -y = 3

 0 = y . . . . . . . . . . . add y-3 to both sides

Then z can be found from any equation. Substituting for x and y in the second equation gives ...

  -1 +2z = -7

  2z = -6 . . . . . add 1

  z = -3 . . . . . .divide by 2

The solution is (x, y, z) = (-1, 0, -3).

3 0
3 years ago
Agustín fabrica artículos de cuero y los vende con un incremento del 8% de su costo. Si en su última campaña utilizó un cuero de
nadezda [96]

Answer:

El aumento del precio de costo único equivalente es un aumento del 20,96% en el precio de costo

Step-by-step explanation:

Los parámetros dados son;

El porcentaje de aumento en el precio de costo que Augustin vende artículos de cuero = 8%

El aumento adicional de Augustin se aplica cuando usó cuero de mayor calidad = 12%

Sea x el precio de costo

Tenemos, el primer precio de venta = 1.08 × x

El precio de venta del cuero de alta calidad = 12% adicional al precio de venta anterior

∴ El precio de venta del cuero de alta calidad = 1,12 × 1,08 × x = 1,2096 × x

Por lo tanto, el precio de venta del cuero de alta calidad = (1.2096 × 100)% de x = 120.96% de x, lo que da;

El aumento del precio de costo único equivalente = (120,96% - 100%) aumento en x = 20,96%

∴ El aumento del precio de costo único equivalente = 20,96% de aumento en el precio de costo.

6 0
3 years ago
PLS HELP BRAINLIEST FOR CORRECT ANSWER+20 POINTS
svetoff [14.1K]

Answer:

120 blocks total

Step-by-step explanation:

All of the little cubes have side length 2"  Thus, the 11" height of the box cannot be used entirely:  we waste the top 1" because the five layers of little cubes reach only to 10" from the bottom.

Start at the bottom of the box.  The dimensions of the bottom are 12" by 8".  Along the longer side we can lay 6 blocks (which add up to 12" and are 2" wide.  We can add 3 more such rows to fill the available 8" width of the box bottom.  That's 6*4, or 24 blocks.

We can add 4 more 6 block by 4 block layers before we have the maximum 5 layers stacked in the box.

5 layers times 24 blocks per layer comes to 120 blocks total.

7 0
2 years ago
Two lines intersect at a point, forming ​ ∠1 , ∠2 , ∠3 , and​ ​ ∠4 ​ .
Ad libitum [116K]
The answer is:  [B]:  " 60° " .
________________________________________
Because at whatever location,  <span>∠2 and ∠4 are vertical angles;
</span>
and all vertical angles have equal measurements.

Given:   m∠1  is 120°, and ∠1 is supplementary to ∠2 ;

then m∠1 + m∠2 = 180° .

So, m∠2 = (180 - 120)° = 60° .

As aforementioned:

m∠4 = m∠2 = 60° ;  which is:  Answer choice:  [B]:  " 60° " .
___________________________________________________
3 0
3 years ago
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