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monitta
3 years ago
12

What is the value of x? Enter your answer in the box.

Mathematics
2 answers:
hichkok12 [17]3 years ago
8 0

Answer:

x = 25

Step-by-step explanation:

<em>Step 1: Identify the similar triangles</em>

Triangle DQC and triangle DBR are similar

<em>Step 2: Identify the parallel lines</em>

QC is parallel to BR

<em>Step 3: Find x</em>

DQ/QB = DC/CR

40/24 = x/15

x = 25

!!

Sever21 [200]3 years ago
8 0

Answer: x=25

Step-by-step explanation:

In order to calculate the value of "x", you can set up de following proportion:

\frac{BQ+QD}{QD}=\frac{RC+CD}{CD}\\\\\frac{24+40}{40}=\frac{15+x}{x}

Now, the final step is to solve for "x" to find its value.

Therefore, its value is the following:

1.6=\frac{15+x}{x}\\\\1.6x=x+15\\\\1.6x-x=15\\\\0.6x=15\\\\x=\frac{15}{0.6}\\\\x=25

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The graph depicts the growth and costs using of line segment use the midpoint formula to approximate the cost during the year 19
marysya [2.9K]

Answer:

The approximate cost during the year 1987 was $7,533

Step-by-step explanation:

The complete question in the attached figure

we have

y -----> is the cost in dollars

x -----> is the year

Looking at the graph we have the points

(1983,5,047) and (1991, 10,019)

To determine the cost in the year 1987, find out the midpoint between the two given points

The formula to calculate the midpoint between two points is equal to

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

substitute the values

M=(\frac{1983+1991}{2},\frac{5,047+10,019}{2})

M=(1987,7,533)

therefore

The approximate cost during the year 1987 was $7,533

7 0
4 years ago
A city has a population of 310,000 people.Suppose that each year the population grows by 6.5% . What will the po
brilliants [131]

Answer:

546,397 people

Step-by-step explanation:

We solve for the above question, using the formula for Exponential growth

The formula is given as

P(t) = Po (1 + r)^t

Po = Initial population = 310,000

r = Exponential growth rate = 6.5% = 0.065

t = Time in years = 9

P(t) = Population size after time t

Hence:

P(t) = 310,000 × (1 + 0.065)⁹

P(t) = 546,396.82088 people

Approximately =546,397 people

The population will be 546,397 people after 9 years.

4 0
3 years ago
Triangle FGH is dilated agout the origin make triangle F'G'H' as shown here. Which rule represents the dilation applied to trian
elena-s [515]

Answer:

Answer is J

Step-by-step explanation:

Count the height of each traingle and divide both of them, it's also going to be greater than 1X since the dialted image is larger than the original

7 0
3 years ago
Set of whole numbers less than 24
Dmitry_Shevchenko [17]

Answer:

2,4,6,8,10,12,14,16,18,20,,22

Step-by-step explanation:

4 0
3 years ago
What’s the correct answer for this question?
g100num [7]

Answer:

A.

Step-by-step explanation:

Volume of cone = 1/3πr²h

= (1/3)(3.14)(1.5)²(5)

= (1/3)(3.14)(2.25)(5)

= (1/3)(35.3)

= 11.78

≈ 11.8 cubic inches

4 0
3 years ago
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