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2 years ago

The two triangles are similar below. Find the value of x in the following: (NOT DRAWN TO SCALE)

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

7 0

Answer:

x = 2.4

Step-by-step explanation:

Corresponding sides of the similar triangles are proportional:

x/(x+3) = 8/18

18x = 8(x +3) . . . . . multiply by 18(x+3)

10x = 24 . . . . . . . . subtract 8x

x = 2.4 . . . . . . . . . . divide by 10

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ABCD is a trapezium.

lisabon 2012 [21]

The length of BC is 4.674 m

Explanation:

Given:

Angle A = angle B = 90°

AD = 2.1 m

AB = 1.9 m

CD= 3.2 m

An image is inserted for the reference

According to the figure,

a is the base

b is the height

c is the hypotenuse

Using pythagoras theorm:

a² + b² = c²

a² + (1.9)² = (3.2)²

a² + 3.61 = 10.24

a² = 6.63

a = 2.574

BC = 2.1 + 2.574

BC = 4.674m

Therefore, the length of BC is 4.674 m

7 0

2 years ago

Pls help bond maths

zepelin [54]

Answer:

19) 35

20) 38

21) 36

22) 37,800

23) 2,450

24) 47

25) 25,000

26) 820

6 0

2 years ago

Read 2 more answers

A high school spends approximately $9,000 hosting a football games (e.G. The hourly pay for staff, the electricity, water usage,

Yanka [14]

Answer:

$4800

Step-by-step explanation:

The expected net income is the probability when rains multiplied by net income (profit) summed with the probability of not raining with that days net income multiplied.

First, Chance of rain = 12% = 12/100 = 0.12

Profit/Loss = Income - Cost

Income is 5000

Cost = 9000

So,

Loss = 5000 - 9000 = 4000

Or, Net Income (profit) = - 4000

Now, Change of not raining = 100 - 12 = 88% = 88/100 = 0.88

Profit = Income - Cost

Income = 15,000

Cost = 9000

Net Income (profit) = 15000 - 9000 = 6000

So, we can write the expected net income as:

Expected NI = (0.12)(-4000) + (0.88)(6000) = $4800

8 0

2 years ago

Select a setting so that each given point will lie within the viewing window.

NemiM [27]

Answer:

The given points are

$(-13,3)\\(0,0)\\(-2,-7)$

The setting would have a interval or 2 units above and below the minimum and maximum of each coordinate.

The given maxium horizontal coordinate is 0.

The given minimum horizontal coordinate is -13.

The given maximum vertical coordinate is 3.

The given minimum vertical coordinate is -7.

Now, we extend each maximum and minimum value by 2 units to create the setting.

So, the setting is

$x_{min}=-15\\x_{max}=2\\ y_{min}=-9\\y_{max}=5$

With a scale of 2 units.

6 0

2 years ago

Please help, I’ll mark your answer as brainliest!

statuscvo [17]

Answer:

$(x-230)^2+(y-220)^2=6100$

Step-by-step explanation:

The equation for a circle is $(x-h)^2+(y-k)^2=r^2$ , where $(h,k)$ is the vertex of the circle and $r$ is the radius. Immediately, since the center of the circle is given, we know what $h$ and $k$ are. $h$ is 230 and $k$ is 220.

The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the distance formula, which is really just the Pythagorean Theorem rearranged. The formula states that $d=\sqrt{x^2+y^2}$ , where $x$ is the change in the x-coordinates of the two points and $y$ is the change in the y-coordinates of the two points. Plug-in $x$ for 60 and $y$ for 50 to get $d=\sqrt{50^2+60^2}$ . Solve for $d$ , arriving at $\sqrt{6100}$ . Therefore, the radius of the circle is $\sqrt{6100}$ .

Finally, we have all of the components to create the equation of the circle. Plug-in 230 for $h$ , 220 for $k$ , and $\sqrt{6100}$ for $r$ .

The equation of the circle will be $(x-230)^2+(y-220)^2=6100$ .

Hope this helps :)

4 0

1 year ago

The two triangles are similar below. Find the value of x in the following: (NOT DRAWN TO SCALE)​

The two triangles are similar below. Find the value of x in the following: (NOT DRAWN TO SCALE)