Given three points A(-7, 1), B(m, 6) and P(-1, n). If the point P divides AB internally in the ratio of 3: 2, find the values of m and n.​

Answer:

C

Step-by-step explanation:

AA postulate because we are given 2 of the 3 angles of each triangle. They are both the same in each triangle. Also, we can find the 3rd angle in each triangle. Since both triangles have the exact same angles, they are similar.

The given triangles ΔABC and ΔLMN are similar by AA postulate.

A triangle is a three sided polygon that consist of three edges and three vertices .

Here two given triangles are ΔABC and ΔLMN. In these two triangles ∠A=∠L=53° and ∠B=∠M= 72°.

Therefore, the two corresponding angles of triangles ΔABC and ΔLMN are equal . So the third angle of ΔABC is also equal to the corresponding angle of ΔLMN.

Hence two triangles are similar by AA postulate.

Thus two triangles are similar by AA postulate. So option (C) is correct.

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Answer:

-5

Step-by-step explanation:

f(x) = 5 cos ( 3x)

f(60)  means let x = 60

f(60) = 5 cos ( 3*60)

        = 5 cos (180)

        = 5 (-1)

       = -5

Answer: -5

Step-by-step explanation:

5cos 3x60

5cos 60

5 x (-1) = -5

Oh shucks man, I'm sorry bout that

[tex]f(x)=\frac{1}{9}x-2\\ take:\\x=f(x)^{-1}\\\\f(x)=X\\\\X=\frac{1}{9}f(x)^{-1}-2\\\\(X+2)9 =f(x)^{-1} \\\\f(x)^{-1}=9X+18\\[/tex]

Answer:

22

Step-by-step explanation:

ftrrrrgd fff fftttr fddd

Answer:

305°

Step-by-step explanation:

The angle between the north line at L and the line connecting PL is

125° (75° + 50° ) ← alternate angle between parallel lines

Then

bearing of P from L is 180° + 125° = 305°

Answer:

81

Step-by-step explanation:

It depends on how many different grades you have and the values of each one of them.

I don't have those things, so Ill just use average.

You'll have an 81

Answer:

I think it is 2 points for this .

Answer:

10 pounds

Step-by-step explanation:

165 ounces = 10 pounds

Answer:

10 pounds, 5 ounces

Step-by-step explanation:

The phrasing of the question is unclear. 165 ounces is itself a measure of weight, but it can be further broken down into pounds and ounces.

Recall that 1 pound = 16 ounces. Therefore, 165 ounces = 10 pounds with remainder of 5 ounces. Or in simple decimals it is 165 ounces / 16 ounces = 10.3125 pounds.

Answer:

8428

Step-by-step explanation:

According to the Question,

We have a number sequence  13, 18, 23, ...

Substitute the given values into the equation to solve for the sum of the 56 rows of seats.

[tex]S_56= \frac{56}{2}[2(13)+(56-1)(5)]\\S_{56}=28\left[26+275\right]\\S_{56}=28\left[301\right]\\S_{56}=8428[/tex]

Therefore, there are 8428 seats in all.

Answer:

Marked price = Rs 800

Step-by-step explanation:

Let the marked price of the cap be Rs.“x”.

Discount = 20%

VAT = 13%

VAT amount = Rs. 83.20

We know,

      Discount = Marked price – Selling Price

        ⇒ Selling price = Marked price – discount

The price after giving a discount or Selling price:

                                                                          [tex]= x - 20 \% \ of \ x \\\\= x - \frac{20}{100} \times x\\\\=\frac{100x - 20x }{100}\\\\=\frac{80x}{100}\\\\=\frac{8x }{10}\\\\=\frac{4x}{5}[/tex]

VAT amount = VAT% of Selling Price

       [tex]83.20 = 13 \% \ of \ \frac{4x}{5}\\\\83.20 = \frac{13}{100} \times \frac{4x}{5}\\\\13 \times 4x = 83.20 \times 100 \times 5\\\\4x = \frac{8320 \times 5}{13}\\\\4x = 3200\\\\x = 800[/tex]

Thus, the marked price of the cap is Rs. 800.

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { 14 }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{2 + \sqrt{3} }{2 - \sqrt{3} } + \frac{2 - \sqrt{3} }{2 + \sqrt{3} } [/tex]

[tex] \\= \frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } + \frac{2 - \sqrt{3} }{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } [/tex]

[tex] \\= \frac{2 \: (2 + \sqrt{3} )+ \sqrt{3} \: (2 + \sqrt{3} )}{ ({2})^{2} - ({ \sqrt{3} })^{2} } + \frac{2 \: (2 - \sqrt{3} ) - \sqrt{3} \: (2 - \sqrt{3} ) }{ ({2})^{2} - ( { \sqrt{3} })^{2} } [/tex]

[tex]\\ = \frac{4 + 2 \sqrt{3} + 2 \sqrt{3} + 3 }{4 - 3} + \frac{4 - 2 \sqrt{3} - 2 \sqrt{3} + 3}{4 - 3} [/tex]

[tex]\\ = \frac{7 + 4 \sqrt{3} }{1} + \frac{7 - 4 \sqrt{3} }{1} [/tex]

[tex] \\= 7 + 4 \sqrt{3} + (7 - 4 \sqrt{3} )[/tex]

[tex] \\= 7 + 4 \sqrt{3} + 7 -4 \sqrt{3} [/tex]

[tex] \\= 14[/tex]

[tex] (a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}[/tex]

Answer:

JM = 18 units

Step-by-step explanation:

∆MHN and ∆JKH are similar (by A.A.A axiom)

so, their sides are proportional

i.e.

(JM+18)/(20+15) = 18/15

or, JM + 18 = 540/15

or, JM = 36-18

hence, JM = 18

Answer:

Step-by-step explanation:

First find the first radius

c=88cm

=2*22/7*r=88cm

=r=14cm

22/7 (pie as common)(R1^2+R2^2=637cm)

14^2+R2^2=637cm

196+R2^2=637cm

R2^2=637-196=441

R2=√441

R2=21

first radius =14cm

second radius  =21cm

Answer:

[tex]3\frac{3}{4}\: \mathrm{cm^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where [tex]l[/tex] is the length of the prism, [tex]w[/tex] is the width of the prism, and [tex]h[/tex] is the height of the prism.

The box has a height of 3 boxes, a length of 5 boxes, and a width of 2 boxes. Since each box is 1/2 cm long, we can deduce the prism has a:

Therefore, the volume of the prism is

[tex]V=1.5\cdot 2.5\cdot 1,\\V=3.75=\boxed{3\frac{3}{4}\: \mathrm{cm^3}}[/tex]

Answer:

x = 12

Step-by-step explanation:

Angles in a triangle add up to equal 180 degrees

Hence, 10x - 11 + 3x - 2 + 3x + 1 = 180

( note that we just created an equation that we can use to solve for x )

we now solve for x using the equation we created

10x - 11 + 3x - 2 + 3x + 1 = 180

step 1 combine like terms

10 + 3x + 3x = 16x

- 11 - 2 + 1 = -12

we now have 180 = 16x - 12

step 2 add 12 to each side

- 12 + 12 cancels out

180 + 12 = 192

we now have 192 = 16x

step 3 divide each side by 16

16x / 16 = x

192 / 16 = 12

we're left with x = 12

Answer:

x=12

the seniot math wiz already explained it correctly

Answer:

1000 cm

Step-by-step explanation:

Recall that 100 cm = 1 m.

This results in the conversion factor    100cm

                                                              -------------

                                                                   1 m

Then 10 m times the conversion factor shown above yields 1000 cm

Answer:

Step-by-step explanation:

a:0

B:1

C:-1

Answer:

$93.22

Step-by-step explanation:

bill = $79

tip = 18%

tip amount = tip % of bill

=18/100 * $79

=$1422/100

=$14.22

total cost = $79 + $14.22

=$93.22

Answer:

93.22

Step-by-step explanation:

Find the amount of the tip

79*18%

79 * .18

14.22

Add this to the amount of the bill

79+14.22

93.22

Answer:

∠SVU = 49°

Step-by-step explanation:

∠SVU is an inscribed angle and arc SU is the arc it intercepts

If you didn't know an inscribed angle is equal to half the measure of its intercepted arc.

Hence ∠SVU = arc SU / 2

if arc SU = 98

Then ∠SVU = 98/2 = 49

Answer:

[tex]x^4+2x^3+2x^2+2x+1[/tex]

Step-by-step explanation:

Given that,

[tex](x+1)^2 . (x^2+1) = 0[/tex]

We know that, [tex](a+b)^2=a^2+b^2+2ab[/tex]

So,

[tex](x+1)^2=x^2+1+2x[/tex]

So,

[tex](x+1)^2 . (x^2+1) = (x^2+1+2x)(x^2+1)\\\\=x^2\times x^2+x^2+2x^3+x^2+1+2x\\\\=x^4+2x^3+2x^2+2x+1[/tex]

So, the value of the given expression is equal to[tex]x^4+2x^3+2x^2+2x+1[/tex]

Answer:

[tex]{ \boxed{ \bf{formular : } \: { \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}} \\ \sin(60 \degree) = \frac{ \sqrt{3} }{2} \\ { \underline{ \blue{ \tt{ {beckerjnr}}}}}[/tex]

The value of expression sine of 60° is,

⇒ √3 / 2

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle is shown in image.

Now, We know that;

Sin x = Opposite / Hypotenuse

Hence, We get;

⇒ sin 60° = √3 / 2

Thus, The value of expression sine of 60° is,

⇒ √3 / 2

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Answer:

X = 3.6

Step-by-step explanation:

tan x = O/A

tan 20° = x/10

x = tan 20°(10)

x = 3.6

Answer:

x = 3.6 cm

Step-by-step explanation:

Using trigonometric ratios :

        [tex]sin \theta = \frac{ opposite} {hypotenuse} \\\\cos \theta = \frac{adjacent }{hypotenuse}\\\\tan \theta = \frac{opposite}{adjacent}\\\\[/tex]

[tex]where \ \theta = 20, \ opposite = x \ , hypotenuse = y \ , \ adjacent = 10cm[/tex]

[tex]we \ will \ take \ tan \ 20 , \ because\ we \ have \ to \ find \ opposite \ and \ adjacent \ is\ given.\\\\tan 20 = \frac{x}{10}\\\\x = 10 \times tan 20\\\\x = 10 \times 0.36397\\\\x = 3.6397\\\\x = 3.6 \ cm[/tex]

Answer:

10000 times 3 times 0.04 = 1200

Answer:

11268.25

Step-by-step explanation:

[tex]P(1+\frac{i}{n})^{n*t}=10000(1+\frac{.04}{4})^{4*3}=11268.2503[/tex]

Answer:

840 cm

Step-by-step explanation:

Given that in the question we have, : 9, 1 cm × 1 cm squares setting a 3 × 3 grid.

Therefore wire required in 3 x 3 grid is

3(3+1) + 3(3+1)

= 3 × 4 + 3 × 4

= 24 I'm

Similarly, the length of the wire required in 20 by 20 grid will be

=> 20(20+1) + 20(20+1)

=> 20 × 21 + 20 × 21

=> 420 + 420

= 840cm

Answer:

g = 7

Step-by-step explanation:

3g - 4 = 17

+ 4 + 4

3g = 21

÷3 ÷3

g = 7

Answer:

g=7

Step-by-step explanation:

First add 17+4=21 to find out how much 3g needs to equal. 3g needs to get to 21. Next, do 21/3=7. g=7

Hope this helps!

Answer:

See below.

Step-by-step explanation:

You can graph by finding ordered pairs for each function.

is there a picture of a graph or chart or something?