Given the proportion (a/b) = (c/d), solve for c.

Answer:

[tex]\angle PRQ = 80[/tex]

Step-by-step explanation:

Given

[tex]\angle SPR = 145^o[/tex]

[tex]\angle POT = 115^o[/tex]

See attachment

Required

Find [tex]\angle PRO[/tex]

First, calculate [tex]\angle RPO[/tex]

[tex]\angle RPO + \angle SPR = 180[/tex] --- angle on a straight line

So, we have:

[tex]\angle RPO + 145 = 180[/tex]

Collect like terms

[tex]\angle RPO = 180 - 145[/tex]

[tex]\angle RPO = 35[/tex]

Next, calculate PQR

[tex]\angle POR + \angle POT = 180[/tex]

So, we have:

[tex]\angle POR + 115 = 180[/tex]

Collect like terms

[tex]\angle POR = 180-115[/tex]

[tex]\angle POR = 65[/tex]

So, PRO is calculated as:

[tex]\angle PRO + \angle POR + \angle RPO = 180[/tex] --- angles in a triangle

So, we have:

[tex]\angle PRO + 65 + 35= 180[/tex]

[tex]\angle PRO + 100= 180[/tex]

Collect like terms

[tex]\angle PRO = 180-100[/tex]

[tex]\angle PRO = 80[/tex]

Answer:

i dont understan your language plz speak in englosh

Step-by-step explanation:

The iso parts of isometric means same, and It is similar becuase rigid trtransformation and the metric parts means measure. Basically isometric means same measure. Rigid transformation preserve "same measures" like angles and side lengths.

Answer:

3 ft

Step-by-step explanation:

4 + 6x = 7 + 5x

6x - 5x = 7 - 4

x = 3

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x = -5[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\3(x+1)=12+4(x-1)\\----------\\\rightarrow 3x + 3 = 12 + 4x - 4\\\\\rightarrow 3x + 3 = 12 -4+4x\\\\\rightarrow 3x + 3 = 8 + 4x\\\\\rightarrow 3x + 3 = 4x + 8\\\\\rightarrow3x + 3 -3 = 4x + 8 - 3\\\\\rightarrow 3x = 4x + 5\\\\\rightarrow 3x - 4x = 4x - 4x + 5\\\\\rightarrow -x = 5\\\\\rightarrow \frac{-x=5}{-1}\\\\\rightarrow \boxed{x = -5}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

3(x+1)=12+4(x-1)

3(x+1)=8+4x

3x+3=8+4x

3x+3−4x=8

-x+3=8

-x=8-3

-x=5

-x(-1)=5(-1)

-x(-1)=-5

x=-5

Answer:

La diferencia del tiempo total de carrera entre el jugador 1 y 2 es 0.0[tex]\overline 3[/tex] minutos

Step-by-step explanation:

Primera vuelta;

El tiempo de vuelta del jugador 1 = 2,32 minutos

El tiempo de vuelta del jugador 2 = 18 segundos más que el del jugador 1

Por lo tanto, el tiempo de vuelta del jugador 2 = (2,32 + 18/60) minutos = 2,62 minutos

Segunda vuelta

El tiempo de vuelta del jugador 1 = 2,52 minutos

El tiempo de vuelta del jugador 2 = 20 segundos menos que el del jugador 1

Por lo tanto, el tiempo de vuelta del jugador 2 = (2.52 - 20/60) minutos = 2.18[tex]\overline 6[/tex] minutos

Tercera vuelta

El tiempo de vuelta del jugador 1 = 2,18 minutos

El tiempo de vuelta del jugador 2 = 2,18 minutos

El tiempo de vuelta total del jugador 1 = (2,32 + 2,52 + 2,18) minutos = 7,02 minutos

El tiempo de vuelta total del jugador 2 = (2,62 + 164/75 + 2,18) minutos = 524/75 minutos = 6.98[tex]\overline 6[/tex] minutos

La diferencia del tiempo total de carrera = (7.02 - 524/75) minutos = (1/30) minutos = 0.0[tex]\overline 3[/tex] minutos

Answer:

1/5

Step-by-step explanation:

8/40->4/20->2-10->1/5

Hope this helps!

Answer:

1\5

Step-by-step explanation:

8/40 = 4/20 = 2/10 = 1/5

Answer:

y=-(x+3)(x+1)(x-2)=-x^3-2x^2+5x+6

Step-by-step explanation:

If the zeros are:

x1=-3

x2=-1

x3=2

then the function is:

y = a (x-x1) (x-x2) (x-x3) = a (x+3) (x+1) (x-2)

y = a (x^3+2x^2-5x-6)

To find the value for "a" we use the information that, if x=1, then y=8:

y = a (1+2-5-6) = a (-8) = 8 therefore a=-1

So:

y=-(x+3)(x+1)(x-2)=-x^3-2x^2+5x+6

Answer:

Density formula (p=m÷v). ---[ p= Density, m= Mass, v= volume]

so, 880g/80cm³

=11gcm³

Answer:

Step-by-step explanation:

1

There are 71 people who are female OR study French OR both.

To find the number of people who are female OR study French OR both, we need to add the numbers in the Female row (excluding the "Total" column) and the numbers in the French column (excluding the "Total" row), and then subtract the number of people who study both French and are female, as they were counted twice.

Number of people who are female = 43

Number of people who study French = 28

Number of people who study both French and are female = 16

Total = Number of people who are female + Number of people who study French - Number of people who study both French and are female

Total = 43 + 28 - 16

Total = 71

So, there are 71 people who are female OR study French OR both.

To know more about people   here

https://brainly.com/question/13604758

#SPJ2

Answer:

length = 1696 m

breadth = 571 m

Step-by-step explanation:

perimeter = 4534 m

let breadth be b

so length = b + 1125 m

so

perimeter of rectangular garden = 2(l+b)

4534 m = 2(b+1125m+b) {substituting the value}

or, 4534 m = 2(2b+1125m)

or, 4534 m = 4b + 2250 m

or, 4534 m - 2250m = 4b

or, 2284m = 4b

or, b = 2284m/4

so, b  = 571m

so, l = b + 1125 m

= 571 m + 1125m

= 1696 m

Answer:

15d² + 7d - 4

Step-by-step explanation:

Distribute

(5d + 4)(3d -1)

5d (3d - 1) + 4(3d - 1)

Distribute

15d² - 5d + 4(3d- 1)

Distribute

15d² - 5d + 12d- 4

Simplify

15d² + 7d - 4

Answer:

Option D

Step-by-step explanation:

From the table attached,

Ordered pairs to be plotted → (1, 472.08), (2, 454.26), (3, 444.95), (4, 439.49), (5, 436.55)

By using linear regression calculator,

Equation of the regression line → y = -8.583x + 475.215

Option D will be the answer.

Answer:

[tex]\left(x^4+3x^3-2x^2+5\right)+\left(2x^4-5x^3+4x-15\right)[/tex]

[tex]=[/tex] [tex]x^4+3x^3-2x^2+5+2x^4-5x^3+4x-15[/tex]

[tex]=x^4+2x^4+3x^3-5x^3-2x^2+4x+5-15[/tex]

[tex]=x^4+2x^4-2x^3-2x^2+4x+5-15[/tex]

[tex]=3x^4-2x^3-2x^2+4x+5-15[/tex]

[tex]=3x^4-2x^3-2x^2+4x-10[/tex]

[tex]OAmalOHopeO[/tex]

Answer:

D is the answer

Step-by-step explanation:

39 is 3 times greater than 13 and 27 is 3 times greater than 9

Answer:

d < 100

Step-by-step explanation:

the distance is less than (<) 100 ft

d < 100

The sentence translates to the inequality  d < 100

There's not much else to say about this problem. We just simply replace the "less than" wording with its corresponding symbol. We can think of the inequality sign as an alligator mouth that always wants to eat the larger value (so the open ended side is facing toward the larger value).

Answer:

P + Q = 1

Step-by-step explanation:

Given: [tex]\frac{1+\sqrt{3} }{1-\sqrt{3} }[/tex]  = P - [tex]\sqrt{Q}[/tex]

This is a question on surd, so we need to rationalize the denominator to have;

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

   = [tex]\frac{4+ 2\sqrt{3} }{1-3}[/tex]

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

   = -2 - [tex]\sqrt{3}[/tex]

Thus,

-2 - [tex]\sqrt{3}[/tex] = P - [tex]\sqrt{Q}[/tex]

⇒ P = -2 and Q = 3

Therefore, the value of P + Q = -2 + 3

                                                 = 1

Thus,

P + Q = 1

Answer:

Hey can you ask this question in English so I can no answer this question in English and then you can convert that my answer in your language as you're I'm Indian so I don't know this language

Step-by-step explanation:

Please don't you think that I'm doing this for points I think I should know this question so can you please answer this you're this and English

Answer: Y= 2x

Step-by-step explanation:

Answer:

y=2x-4

Step-by-step explanation:

firstly find the gradient

m=y2-y1/x2-x1

16-4/6-0

12/6

m=2

then use the equation to find the answer

y-y1=m(x-x1)

y-4=2(x-0)

y-4=2x-0

y=2x-4

Answer:

Both the statements can be true

Step-by-step explanation:

this means x---> z

Answer:

A prism is a polyhedron with two parallel, congruent faces called bases that are polygons

Answer:

See below.

Step-by-step explanation:

Rectangle Volume = Length x Width x Height

Rectangle Volume = 15 x 6 x 8

Rectangle Volume = 720 in^2

Cube volume = s^3

Cube volume = 9^3

Cube volume = 729

Cylinder Volume = [tex]\pi[/tex]r^2h

Cylinder Volume = [tex]\pi[/tex]4^214

Cylinder Volume = [tex]\pi[/tex]1614

Cylinder Volume = [tex]224\pi[/tex]

Answer

720, 729, 703

Step-by-step explanation:

your welcome

Answer:

let b union b be

B={2,4,6,8} and B= {1,2,3,4,5}

then B union B = {1,2,3,4,5,6,8}

Step-by-step explanation:

Venn diagram of b union b is in the attachment

Hope it is helpful to you

Answer:

90

Step-by-step explanation:

Answer:

[tex] \cos(60) = \frac{9}{a} \\ \frac{1}{2} = \frac{9}{a} \\ a = 18 \\ \\ \\ \tan(60) = \frac{b}{9} \\ \sqrt{3} = \frac{b}{9} \\ b = 9 \sqrt{3} [/tex]

I hope I helped you ^_^

Answer:

C

Step-by-step explanation:

distance between two points formula:

[tex]d = \sqrt{( x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]

where the x and y values are derived from the known points

we are given the points (2, 4) and (8, -8)

given these two points let's define each variable

x1 = 2

x2 = 8

y1 = 4

y2 = -8

we now substitute in these values into the formula

[tex]d = \sqrt{(8 - 2) ^{2} + ( - 8 - 4)^{2} } [/tex]

now we evaluate the expression using PEMDAS

first we do the subtraction inside of the parenthesis

8 - 2 = 6

-8 - 4 = -12

d = sqrt(6)^2 + (-12)^2

next we do the exponents

6^2 = 36

-12^2 = 144

d = sqrt( 144 + 36 )

next do the addition inside of the parenthesis

144 + 36 = 180

d = sqrt ( 180 )

finally we do the square root of 180

sqrt ( 180 ) = 13 ( rounded to the nearest whole )

d = 13

Answer:

C or 14.8

Step-by-step explanation:

You just find the mean.

Arrange the numbers, add them then divide by the amount of numbers.

Hope it helps c:

Answer:

$1,890

Step-by-step explanation:

To find the amount, we use the compound interest formula here

we have this as;

A = P(1 + r/n)^nt

Where ;

P is the amount invested which is $1,800

r is the interest rate which is 3.3% annually (3.3/100 = 0.033)

n is the number of times yearly interest is compounded which is 1 time yearly

t is the number of years which is 1.5 years

substituting these values, we have

A = 1800( 1 + 0.033)^(1 * 1.5)

A = 1,890

Answer:

y = -4x + 2

Step-by-step explanation:

The formula for slope is: y = mx + b

Where m is slope and b is when the line intersects the y-axis.

Plug in:

y = -4x + 2

The two is the point in the line, and -4 is the slope.

Hope this helps.