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3 years ago

What is the value of x?

Mathematics

2 answers:

Mariulka [41]3 years ago

4 0

Answer: x = 7

`Step-by-step explanation:

Because the figure shows two triangles that are similar. we can write and solve an equation of ratios:

9 cm 72 cm

----------- = -----------

3x - 20 56 cm

Cross-multiplying, we get (3x - 20)(72 cm) = (9 cm)(56 cm) = 504 cm²

Dividing both sides by 72 cm, we get:

3x - 20 = (504 cm²) / (72 cm) = 7

Then 3x - 20 = 7, and 3x = 27. Then x must be 9.

Vika [28.1K]3 years ago

4 0

Answer:

I just did the quiz. The answer would be 9. Hope this helps :)

Step-by-step explanation:

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Bridget has a bag of skittles that is 3/4 full. If she eats 2/5 of the remaining skittles, how much of the bag did she eat?

Nutka1998 [239]

Bridget eats $\frac{x}{10}$ of the Skittles

Explanation:

Let the number of skittles = x

If the bag has $\frac{3}{4}x$ of the skittles

Then the skittles remaining = $x - \frac{3}{4}x$

= $\frac{x}{4}$

Amount that Bridget eats = $\frac{2}{5} X \frac{x}{4}$

= $\frac{x}{10}$

Therefore, Bridget eats $\frac{x}{10}$ of the Skittles

3 0

3 years ago

A card is picked at random from the following set: 6, 7, 8, 9. What is P (9)? Write your answer as a percentage.

lozanna [386]

Answer:

25% = (p) 1/4 = picking a number 9.

(p) 1/4 = 0.25 (results getting a number more than 8 or just getting 9

This is add rule from the 4 card set.

1/4 + 0 + 0 + 0 = 1/4

Because each (P) is equal and shows (P); 1/4

there are 1 event so 1/4 + 0= 1/4 = 0.25%

Step-by-step explanation:

0.25 x 100 = 25%

8 0

3 years ago

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Consider the equation 2(x + 2) = 2 + 2x. How many solutions does it have?

bazaltina [42]

Answer: Your answer should be 1.

4 0

3 years ago

Which graph shows the solution to the system of linear inequalities below?

hodyreva [135]

Answer:

Option B

The solution in the attached figure

Step-by-step explanation:

we have

Inequality A

$y > -\frac{1}{3}x+1$

we know that

The solution of the inequality A is the shaded area above the dashed line

The equation of the dashed line is $y=-\frac{1}{3}x+1$

The slope of the dashed line is negative $m=-\frac{1}{3}$

Inequality B

$y > 2x-1$

we know that

The solution of the inequality B is the shaded area above the dashed line

The equation of the dashed line is $y=2x-1$

The slope of the dashed line is positive $m=2$

therefore

The solution in the attached figure

7 0

3 years ago

Read 2 more answers

Solve for Zeros by factoring 5x^2 + 13x - 6

serious [3.7K]

$5x^2+13x-6$

Break the expression into groups:

$=(5x^2-2x)+(15x-6)$

Factor out x from : $5x^2-2x = x(5x-2)$

Factor out 3 from : $15x-6=3(5x-2)$

$=x(5x-2)+3(5x-2)$

Factor out common term $(5x-2)$

$= (5x-2)(x+3)$

hope this helps!

7 0

3 years ago