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julsineya [31]
3 years ago
15

Some number times 7 is equal to the number increased by 9

Mathematics
1 answer:
Sever21 [200]3 years ago
5 0

Answer:

7x = x + 9.

Step-by-step explanation:

7 × something = something + 9, right?

So, 7x = x + 9.

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The L- shaped A,B,C,D,F is the image of the L shape ABCDEF after reflection which of the following lines? ABCD
mrs_skeptik [129]

Answer:

X

Step-by-step explanation:

4 0
3 years ago
Charlie invests £1200 at 3.5% per annum compound interest.
lbvjy [14]

Answer:

<h2>£1,330.46</h2>

Step-by-step explanation:

Using the compound interest formula A = P(1+\frac{r}{n} )^{nt}

A = amount compounded after n years

P = principal (amount invested)

r = rate (in %)

t = time (in years)

n = time used to compound the money

Given P =  £1200., r = 3.5%, t = 3years, n = 1 year(compounded annually)

A = 1200(1+0.035)^{3}\\ A = 1200(1.035)^{3}\\ A = 1200* 1.108717875\\A = 1,330.46

Value of Charlie's investment after 3 years is £1,330.46

6 0
3 years ago
Distance between parallel lines y=3x+10 and y=3x-20
Alecsey [184]

1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).


2. Use formula d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}} to find the distance from point (x_0,y_0) to the line Ax+By+C=0.


The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:

d=\dfrac{|3\cdot 0-10-20|}{\sqrt{3^2+(-1)^2}}=\dfrac{30}{\sqrt{10}}=3\sqrt{10}.


3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.


Answer: d=3\sqrt{10}.

4 0
3 years ago
In the adjoining figure, the parallel lines are marked by arrow lines. The value of angle 1 is:
dlinn [17]

Answer:

20°

Step-by-step explanation:

40°, 70° and 90° are the measures of the three angles of the quadrilateral.

Measure of fourth angle of the Quadrilateral

= 360° - (40° + 70° + 90°)

= 360° - 200°

= 160°

Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.

Thus,

m\angle 1 = 180\degree- 160\degree

\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}

Alternate method:

m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)]

\implies m\angle 1 = 180\degree- [360\degree-200\degree]

\implies m\angle 1 = 180\degree- 160\degree

\implies m\angle 1 = 20\degree

6 0
2 years ago
Read 2 more answers
Find the real number root of negative 121 square root
alexandr402 [8]
It would actually be 11
6 0
3 years ago
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