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Juli2301 [7.4K]
3 years ago
7

Find the value of x

Mathematics
1 answer:
sveticcg [70]3 years ago
6 0

Answer:

<h2>          x = 15</h2>

Step-by-step explanation:

RQ < PR < PQ

TV < UV < UT

ΔPQR~ΔUTV   ⇒     \dfrac{RQ}{TV}=\dfrac{PR}{UV}

\dfrac{8}{x-3}=\dfrac{14}{x+6}\\\\8(x+6)=14(x-3)\\\\8x+48=14x-42\\\\48+42=14x-8x\\\\90=6x\\\\x=90:6=15

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During summer, when the snow melts, the water level of the Yukon River increases. If the water level of the river increased by 7
kondaur [170]

Answer:

13 centimeters per day.

Step-by-step explanation:

We have been given that during summer, the water level of the river increased by 78 centimeters in 6 days. We are asked to find the water level increase rate in centimeters per day.

To find the water level increase rate per day, we will divide total increase by total days as:

\text{Water level increase rate per day}=\frac{78\text{ cm}}{6\text{ days}}

\text{Water level increase rate per day}=\frac{13\text{ cm}}{\text{ day}}

Therefore, the water level increase rate is 13 centimeters per day.

5 0
3 years ago
The area of a trapezium is 800 cm2
svlad2 [7]

Answer:

The distance between the parallel sides is 20cm.

Step-by-step explanation:

Area of a trapezoid:

A=\frac{a+b}{2}\times h

where a and b are the 2 bases, and h is the height. The value we're trying to find here is the height.

3 of the 4 variables in this equation are already given:

A = 800

a = 48

b = 32

Just plug those in and solve for h:

\rightarrow 800=\frac{48+32}{2}\times h\\\rightarrow 800=\frac{80}{2}\times h\\\rightarrow 800=40\times h\\\rightarrow 800\div40=h\\\rightarrow h=20

5 0
3 years ago
Read 2 more answers
Help don’t understand
marusya05 [52]

Answer:

f(-14) = -6

f(-4) = 6

f(12) = 6

f(0) = -3

negative

Step-by-step explanation:

f(-14) = -6

This is because when x is -14, y is -6, as seen in the graph

f(-4) = 6

This is because when x is -4, y is 6, as seen in the graph

f(12) = 6

This is because when x is 12, y is 6, as seen in the graph

f(0) = -3

This is because when x is 0, y is -3, as seen in the graph

is f(4) positive or negative?
negative

This is because when x is 4, y is -6, as seen in the graph

6 0
2 years ago
A bouquet of flowers contains a total of 24 red and white roses. The number of red roses is 4 less than three times the number o
geniusboy [140]

Answer:

White roses - 7

Red roses - 17

Step-by-step explanation:

Set up proportional equations

White roses = x

Red roses = 3x - 4

Set equal to 24

x + 3x - 4 = 24

4x - 4 = 24

4x = 28

x = 7

x is white roses, so there are 7

Plug x value into red rose equation

3(7)-4

21-4 = 17 red roses

Check

17+7 = 24

5 0
3 years ago
Solve the equation: 5/6 = 1/3 + D
Sauron [17]
Answer: \frac{1}{2} 
 
Explanation:
\frac{5}{6} =  \frac{1}{3}  + D 
\frac{5}{6}  -  \frac{1}{3} = \frac{1}{3}  -  \frac{1}{3} + D 
\frac{5}{6} -  \frac{1}{3} = D 
\frac{5}{6} - 2(\frac{1}{3}) = D
\frac{5}{6} - \frac{2}{6} = D 
\frac{3}{6} = D = \frac{1}{2}
8 0
4 years ago
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