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Mice21 [21]
3 years ago
5

If the figures below are similar with a scale factor of 6:5, find the value of x.

Mathematics
1 answer:
xxMikexx [17]3 years ago
7 0

Answer:

x = 33.6

Step-by-step explanation:

Formula to be used for the scale factor,

Scale factor = \frac{\text{Dimension of the big triangle}}{\text{Dimension of the small triangle}}

From the figure attached,

Side length of the big triangle = x

Corresponding side length of small triangle = 28

Scale factor = \frac{6}{5}

\frac{6}{5}=\frac{x}{28}

x = \frac{6\times 28}{5}

x = 33.6

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4-2x=11 how do I solve
Bingel [31]

Hey there!☺

Answer:\boxed{x=\frac{-7}{2}}

Explanation:

4-2x=11

In our first step, we will simplify both sides of the equation:

4+-2x=11\\-2x+4=11

Now subtract 4 from both sides:

-2x+4-4=11-4\\-2x=7

In our last step, we will divide both sides by -2:

\frac{-2x}{2}=\frac{7}{-2}\\  x=\frac{-7}{2}

x=-7/2 is your answer.

Hope this helps!☺

3 0
3 years ago
HELP?<br><br> 7-15 please :) show work<br> thank you!
Alexus [3.1K]

Answer:

7. x = 3

Step-by-step explanation:

To find the value of x, use the triangle sum property. Every triangle has interior angles which add to 180 degrees. To solve, add the expressions and numbers together then set equal to 180. Then use inverse operations to solve for x.

7. 20x - 9 + 10x + 9 + 90 = 180             Subtract 90 from both sides.

   20x - 9 + 10x + 9 = 90                       Add -9 + 9 = 0

   20x + 10x = 90                                  Add like terms 20x + 10x = 30x

   30x = 90                                            Divide both sides by 30.

        x = 3

Repeat this process for each problem.

7 0
3 years ago
A car costs 20% less this year than last year. Last year, the car cost 5% less than the year before. The price of the car this y
Tems11 [23]

Answer:

The answer is 11,374

Step-by-step explanation:

First we find 5% of 9,400 is.

9,400 * 5% = 470

Next we add 9,400 with 470 then multiply by 20%

9,400 + 470 = 9,870

9,870 * 20% = 1974

Next we add.

9,870 + 1,974 = 11,374

So, the answer is 11,374

Hope this helps! :)

3 0
3 years ago
¿cuál es el vértice de una parábola que corta los ejes en los puntos (-1,0) , (5,0), (0,-10) ?​
kvasek [131]

Answer:

vertex: (2,-18)

Step-by-step explanation:

y = ax² + bx + c

(-1,0) : a - b + c = 0       ...(1)

(5,0) : 25a +5b +c = 0  ...(2)

(0,-10): 0a + 0b + c = -10        c=-10

(1) x5: 5a - 5b + 5c = 0  ...(3)

(2)+(3): 30a + 6c = 0          30a = -6c = 60        a = 2

(1): 2 - b -10 = 0     b = -8

Equation: y = 2x² - 8x -10 = 2 (x² -4x +4) - 18 = 2(x-2)² -18

equation: y = a(x-h)²+k     (h,k): vertex

vertex: (2,-18)

3 0
3 years ago
How many outcomes are there if you roll two dice with side sides
Valentin [98]
36 different outcomes.

6 x 6 = 36

Each side of dice 1 could have a counter match of 6 possibilities x 6
8 0
3 years ago
Read 2 more answers
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