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Answer:

[tex]\fbox{Perimeter of ∆ABC = 54 units}[/tex]

Step-by-step explanation:

Given:

➳ AC || RP

➳ AC = 18 units

➳ AR = 14 units

➳ RB = 7 units

➳ CP = 10 units

To find:

perimeter of triangle ABC =?

Solution:

in ∆ABC and ∆RBP

since we know AC || RP,

then ∠ACP = ∠RPB

and ∠CAB = ∠PRB (Property of parallel lines)

and ∠B is a common angle in both traingles,

hence ∆ABC ~ ∆RBP from AAA property!

now,

using the properties of similar triangle,

[tex] \frac{AR }{RB} = \frac{CP}{PB} \\ \\ \frac{14}{7} = \frac{10}{PB} \\ \\ X = \frac{10}{2} \\ \\ \fbox{PB = 5} \\ \\ \\ [/tex]

To find perimeter of ∆ABC, add all the components.

Perimeter of ∆ABC = AR + RB + BP +PC + CA

Perimeter of ∆ABC= 14 + 7 +5 +10 + 18 units

[tex]\fbox{Perimeter of ∆ABC = 54 units}[/tex]

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

In the given figure, PR is parallel to CA, therefore two angles of Triangle ABC is equal to two corresponding angles of Triangle RBP.

that is

[tex]\qquad \sf  \dashrightarrow \:\angle BCA = \angle BPR[/tex]

[tex]\qquad \sf  \dashrightarrow \:\angle BAC= \angle BRP [/tex]

[ They form pairs of corresponding angles ]

So, we can infer that :

[tex]\qquad \sf  \dashrightarrow \:\triangle BAC \sim \triangle BRP [/tex]

The Triangles are similar, by AA criteria ~

let's assume measure of BP = x

Now, let's use its result :

[tex] \qquad \sf  \dashrightarrow \:\dfrac{BA}{BR}= \dfrac{BC}{BP}[/tex]

[tex] \qquad \sf  \dashrightarrow \:\dfrac{14 + 7}{7}= \dfrac{x + 10 }{x}[/tex]

[tex] \qquad \sf  \dashrightarrow \:\dfrac{21}{7}= \dfrac{x + 10 }{x}[/tex]

[tex] \qquad \sf  \dashrightarrow \:3= \dfrac{x + 10 }{x}[/tex]

[tex] \qquad \sf  \dashrightarrow \:3x={x + 10 }{}[/tex]

[tex] \qquad \sf  \dashrightarrow \:3x - {x = 10 }{}[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 5 \: \: units[/tex]

So, the required Sides of Triangle ABC are :

Therefore, Perimeter = AB + BC + AC :

[tex]\qquad \sf  \dashrightarrow \:21 + 18 + 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:54 \: \: units[/tex]

[tex]v = (5 \times 3 \times 6.5) + (2 \times 4 \times 6.5)[/tex]

[tex]v = 15 \times 6.5 + 8 \times 6.5[/tex]

[tex]v = 97.5 + 52[/tex]

[tex]v = 149.5 \: \: \: {cm}^{3} [/tex]

Answer:

20%=8

10%=?

by cross multiplications,

10×8=80

80÷20=4

Hence the answer is 4.

Answer:
4

Step-by-step explanation:

think about it we have 8 and 20 %, multiply 8 by 5 since theres 20 % and its 20 % of 100. 100 / 20 = 5 * 8 = 40 but since we have 20 and 10 % getting compared we obv know that it would be half what the answer for 20 % of would be so 4 :D

The values of a and b in the sytem of equation are 12 and 9 respectively.

b = 3 / 4 a

a + b = 21

Therefore, let's substitute b in equation(ii)

a + b = 21

a + 3 / 4 a = 21

4a + 3a / 4 = 21

7a / 4 = 21

cross multiply

7a = 21 × 4

7a = 84

divide both sides by 7

a = 84 / 7

a = 12

b = 3 / 4 a

b = 3 / 4 × 12

b = 36 / 4

b = 9

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Answer:

greater probably i am guessing its just a guess it also could be lower i dont know the question isnt clear

Using linear function concepts, it is found that the correct statements are given by:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem, the number of college seniors who graduated with a bachelor's degree in psychology, in t years after 2000, is modeled by:

P(t) = 2,376t + 73,219.

For biology, the amount is given by:

B(t) = 2,414t + 56,545.

Then, the true statements are given by:

More can be learned about linear function concepts at https://brainly.com/question/24808124

Answer:

[tex] {6}^{3 } [/tex]

Step-by-step explanation:

[tex] {6}^{5 - 2 } \\ {6}^{3} [/tex]

Answer:

B and D I think

Step-by-step explanation:

Answer:

x = 1/3

Step-by-step explanation:

[tex] = > log_{(3x + 4)}125 = 3[/tex]

[tex] = > {(3x + 4)}^{3} = 125 \: ( \because \: log_{a}b = x = > {a}^{x} = b)[/tex]

[tex] = > 3x + 4 = \sqrt[3]{125} = 5[/tex]

[tex] = > 3x = 5 - 4 = 1[/tex]

[tex] \therefore \: \: x = \frac{1}{3} [/tex]

Hope you've understood the solution.

Answer:

  c.  $77.00

Step-by-step explanation:

The CPI is 100 times the ratio of prices relative to those in some reference period. Here, we assume the reference year is 1983, so a CPI of 186 means the current prices are 1.86 times those in 1983.

  1.86 × $41.40 = $77.00

The helment price will be $77.00 when the CPI is 186.

Answer:

C. $77.00

Step-by-step explanation:

Edge23

Answer: The answer is 15.

Step-by-step explanation:  I used the pythagorean theorem, which is squaring the "legs" of the right angle, which is 9m and 12m, then adding the answer and using the square root of the sum.

Answer:

C):10.99

Step-by-step explanation:

The diameter is 3.5...

3.5 x 3.14 = 10.99

The cirucmference of the stump given its diameter is closest to 10.99 ft.

The circumference of the stump is the distance round the stump. The stump is in the shape of a circle. Thus, the formula for the circumference of a circle would be used to determine the circumference of the stump.

Circumference of a circle = πD

Where:

3.14 x 3.5 = 10.99ft

Please find attached an image of the stump. To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152

Answer:

x=34

Step-by-step explanation:

This is a 180-degree angle. This means, that when added, both sides must equal 180.

180-151=29

Since there is a "-5" on the side of x, we must add five to find x.

29+5=34

x=34

Answer:

Step-by-step explanation:

The slope-intercept formula can be used to find the equation of the line.

Slope-intercept formula:

[tex]\Longrightarrow:\sf{y=mx+b}}[/tex]

y=-3x+14

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

C. $250

Step-by-step explanation:

-To find the unit rate you need to divide the Amount Earned by Time worked

-When you do this you get 6.25

-Then you multiply 6.25 by 40

-That equals 250 and therefore the answer is C

Answer:

D 26000

Step-by-step explanation:

100 x 100 = 10000

120 x 150 = 18000/2 = 9000

150 x 300 = 45000

10000 + 9000 = 19000

45000 - 19000 = 26000

Answer:

A=128

Step-by-step explanation:

A=(25-9)^2/3√3+5

A=(16)^2/3√8

A=256/2

A=128

Answer:

  no solution

Step-by-step explanation:

You want the solution to -3|x| = 9.

The equation shows the product of a negative number (-3) and a positive number |x| is positive (9).

This is a violation of the rules of arithmetic. The product of a positive and a negative is always negative.

There is no solution to this equation.

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Answer:

third side = 6

using pythagoras theorem:

a² + b² = c²

Answer:

The length of the third side is 6 units

Step-by-step explanation:

We know that this is an right angled triangle , so

by using Pythagoras theorem we can find out the third side of the triangle ..

=> P² + B² = H²

=> 5² + (√11)² = H²

=> 25 + 11 = H²

=> 36 = H²

=> √36 = H

=> 6 = H

Answer: The change in the x-coordinates of any two points on a line in the XY plane is the:RUN

Step-by-step explanation:

The value of x in the equation [tex]64^{3x} = 512^{2x}[/tex] is infinite

The equation is given as:

[tex]64^{3x} = 512^{2x}[/tex]

Rewrite [tex]64^{3x}[/tex] and [tex]512^{2x}[/tex] in base 2

[tex]2^{6*3x} = 2^{9*2x}[/tex]

Evaluate 6 * 3x and 9 * 2x

[tex]2^{18x} = 2^{18x}[/tex]

By comparing the exponents, we have:

18x = 18x

Divide both sides by 18x

1 = 1

Hence, the value of x in the equation is infinite

Read more about equation solutions at:

https://brainly.com/question/7784687

#SPJ4

Answer:

D) No Solution

Step-by-step explanation:

The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the kite. Hence:

At an angle of 56°, the height is:

sin(56) = h/15

h = 12.44 m

At an angle of 60°, the height is:

sin(60) = h/15

h = 13 m

The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.

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Answer:

If commission is 31/2 percent check first image else go through second picture

Answer:

if you are trying to find the length of the other three sides then

40 = 3x + 7

Step-by-step explanation:

Answer:

Is A

Step-b-step explanation:

40.5

Answer:

6 pi inches

Step-by-step explanation:

Entire minute is one entire circle

  circumference = pi * d = pi * 2r = pi * 2 * 6 = 12 pi inches

from 6 to 12 position is half of a cirlce , so 6 pi inches

Answer:

6 pi inches

Step-by-step explanation:
IT MIGHT BE WRONG IF IT IS LET ME KNOW

have a nice day/night

-<-   :)

Answer:

The slope is -8 and the y intercept is -6

Step-by-step explanation:

The first numbers are the slopes and the one after that is the y intercept. ALWAYS