given the similar triangles below find the missing length

Answer:

b = -9

Step-by-step explanation:

-7b - 4(b + 7) = -3b - 4(b -2)

First we want to distribute the coefficients across the parentheses. To do so, we multiply the coefficient by every term within the parentheses.

-7b - 4(b + 7) = -3b - 4(b - 2)

-4 • b = -4b

-4 • 7 = -28

-4 • b = -4b

-4  • -2 = 8

Simplify the expression with these new values.

-7b - 4b - 28 = -3b - 4b + 8

Now we want to combine the like terms. First combine the variables.

-7b - 4b - 28 = -3b - 4b + 8

-11b - 28 = -7b + 8

Combine further by adding 7b to both sides.

-4b - 28 = 8

Combine the constants by adding 28 to both sides.

-4b = 36

Isolate b by dividing both sides by -4.

b = -9

This is your answer.

Check your answer by plugging b = -9 back into the original equation.

-7b - 4(b + 7) = -3b - 4(b - 2)

-7(-9) - 4(-9 + 7) = -3(-9) - 4((-9) - 2)

63 - 4(-2) = 27 - 4(-11)

63 + 8 = 27 + 44

71 = 71

Your answer is correct.

Hope this helps!

Answer:

-9 is the required answer of b

Step-by-step explanation:

-7b - 4(b + 7) = -3b - 4(b-2)

open bracket

-7b-4b-28=-3b-4b+8

-11b-28=-7b+8

-11b+7b=28+8

-4b=36

b=36/-4=-9

Answer:

5 minutes

Step-by-step explanation:

2 minutes per lap

2 minutes for 2/5 km = 1 minute for 1/5 lap

1 x 5/5 = 5 minutes

Answer:

50:100:150

Step-by-step explanation:

300 / 1+2+3

300/6 = 50

50:50x2:50x3

50:100:150

Answer:

x=60 y=50

Step-by-step explanation:

60+y=110

y=50

Answer:

4

Step-by-step explanation:

Formula to find slope: y - y1 / x - x1

0 - 4 ÷ 1 - 2

-4 ÷ -1

Slope = 4

Answer:

slope = 4

Step-by-step explanation:

y2-y1/x2-x1

0-4/1-2 = 4

Answer:

4

Step-by-step explanation:

Answer:

98 bracelets

Step-by-step explanation:

Number of days, n = 6

Evan:

= 10 + 8(n - 1)

= 10 + 8(6 - 1)

= 10 + 8(5)

= 10 + 40

= 50 bracelets

Dorinda

= 8n

= 8(6)

= 48 bracelets

Total bracelets they will make in all = Evan + Dorinda

= 50 + 48

= 98 bracelets

Answer:

To find the total mass you will add the following masses together:

1/4 + 1/4 + 2/4 + 2/4 + 2/4 + 3/4 + 3/4

For every X you list the number that many times.

The sum is 14/4 or 3 2/4 or

3 1/2.

The answer is choice D.

Read more on Brainly.com - https://brainly.com/question/9499907#readmore

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1 cone

Step-by-step explanation:

2. rectangular prism

Answer:

the first one is a cone

Step-by-step explanation:

the second one is a rectangular prism

Answer:

3x=180-45

3×=135

3x/3x=135/3x

=45x

Answer:

Step-by-step explanation:

1-13

2-8

Answer:

[tex] - (x - 1) {}^{2} + 5[/tex]

Step-by-step explanation:

F(x) is a transformation from h(x).

So our starting equation is

[tex] - (x - 1) {}^{2} - 1[/tex]

F(x) is also facing the same direction h(x) is so we dont have to reflect nothing across the x or y axis.

There isn't a vertical or horizontal stretch, compressions.

There isn't a horizontal shift as the x values stay in the same place.

There is a vertical shift. We can simply move h(x) up 6 units to get to f(x).

So our equation looks like.

[tex] - (x - 1) {}^{2} + 5[/tex]

Answer:

the answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

12.4+372.6=385

Answer:

The two triangles are congruent, or equal to each other.

Step-by-step explanation:

In order to solve this question, you first need to compare the measurements. Since AB and PQ both equal 4 cm, you know that they are congruent. Since BC and QR are also congruent, you know that the last two have to be congruent as well. Therefore, the triangles ABC and PQR are congruent, or equal, to each other.

Answer:

68.048780487805

Step-by-step explanation:

or just 68.04 or just 68

Answer:

226.08 cm^3 since volume

Step-by-step explanation:

Answer:

452.39

Step-by-step explanation:

The formula for volume is V=πr2h so you would add your numbers in and multiply (V=πr2h=π·42·9≈452.38934)

Answer:

$47.86

Step-by-step explanation:

A tax is a compulsory amount levied by the government or an agency of the government on goods and services

Taxes increases the price of goods and services. Thus, the amount paid would increase by the tax rate

Amount that needs to be on the gift card = amount of tax + price of the jacket

Price of the jacket = $45

Amount of tax = percentage tax rate x price of the jacket

0.0635 x $45 = $2.86

$45 + $2.86 = $47.86

Answer:

Amber ran 8,333 kilometers during each hour, and the equation to determine that amount is 25/3 = X.

Step-by-step explanation:

Given that Amber ran a 25 kilometer road race in 3 hours, and she ran at the same speed and covered the same distance each hour, to draw a visual model to find the distance Amber ran each hour the following calculation must be performed:

25/3 = X

8.333 = X

So Amber ran 8,333 kilometers during each hour, and the equation to determine that amount is 25/3 = X.

Answer: g(x)=3f(x)

Step-by-step explanation:

So we know it isnt a translation. Which eliminates the first 2 answer choices. So its between the last 2. If it were 1/3 the grap would have been steeper.

I hope this helps!

Answer:

Following are the equation to this question:

Step-by-step explanation:

[tex]\to \frac{\sqrt{(.24)(.76)}}{60} + \frac{(.24)(.76)}{60}\\\\\to \frac{\sqrt{0.1824}}{60} + \frac{0.1824}{60}\\\\\to \frac{0.42708313}{60} + \frac{0.1824}{60}\\\\\to \frac{0.42708313+0.1824}{60} \\\\\to \frac{0.60948313}{60} \\\\\to 0.0101580522[/tex]

Answer:

136.74

Step-by-step explanation:

6 percent of $129 is $7.74

129 plus 7.74 = 136.74

Answer:

54 - 14 = 30

Step-by-step explanation:

Answer:

48 minutes

Step-by-step explanation:

25=3 400/25=16x3=48

Answer:

48 minutes

Step-by-step explanation:

25 words - 3 minutes

400 words - x minutes

Cross multiply

25x = 400 x 3

25x = 1200

Divide both sides by 25

x = 1200/25

x = 48

Answer:

3997

Step-by-step explanation:

JUST SEARCH IT UP0202000202×0]2]×

Answer:

d = 711 miles

Step-by-step explanation:

The speed s of the car is given by :

[tex]s=3\sqrt{d}[/tex] ...(1)

Where

d is the stopping distance

We need to find the stopping distance of a car travelling at 80 mph.

Rearranging equation (1) for d.

[tex]s^2=9d\\\\d=\dfrac{s^2}{9}\\\\d=\dfrac{80^2}{9}\\\\d=711.1\ miles[/tex]

or

d = 711 miles

So, the required stopping distance is 711 miles.

Step-by-step explanation:

It's a right angled triangle.

Answer:

I GOTCHU THE ANSWER IS -10

Step-by-step explanation:

Answer:

2 x 3(the 3 is above the 2x) + 7 x 2(the 2 is above the 7x) − 18 x

Step-by-step explanation:

can I have brainliest please? :)

Answer: 1225

Step-by-step explanation:

Just plug in 350 for 'm':

3.5m

3.5m (350)

^^^^^^^^^^

times these two together, to get your final answer!

Multiply:

1225

Answer:15$

Step-by-step explanation: