Line RS bisects segment PQ at R. If RQ = x + 9 and RP = 2x, find PQ.

Answer:

12+x

Step-by-step explanation:

=-6+1/4x+3(1/4x+6)

=-6+x/4+3(x/4+6)

=-6+x/4+3×(x+24/4)

=-6+x/4+3x+72/4

=-24+x+3x+72/4

=48+4x/4

=4(12+x) /4

=12+x.

hence, answer is 12+x..

Answer:

1x + 12

Step-by-step explanation:

-6 + 1/4x + 3(1/4x + 6)

-6 + 1/4x + 3/4x + 18

-6 + 1x + 18

1x + 12

straight angles ( 1 , 2 , 3 , 4 ) parallel to straight angles Angles ( 5 , 6 , 7 , 8 )

m<8 = m< 6 = 23° [ Opposite angles]

m< 4 = m< 2 = 23°

m<8 + m< 5 = 180°

23° + m< 5 = 180°

m<5 = 180 - 23 = 157

m< 5 = m< 7 = 157° [ Opposite angles]

m< 1 = m< 3 = 157° [ Opposite angles]

straight angles ( 1 , 2 , 3 , 4 ) parallel to straight angles Angles ( 5 , 6 , 7 , 8 )

I hope I helped you^_^

Answer:

185.22 km

Step-by-step explanation:

Assuming that you forgot the percentage sign In the question. Ann drove 185.22 km on Saturday.

Answer:

y = -1/2x + 6

Step-by-step explanation:

The slope of a parallel line will remain the same. The only thing that is different is the y-intercept but we can solve that using the point given, the slope, and the slope intercept form equation [ y = mx + b ].

0 = -1/2(12) + b

0 = -6 + b

6 = b

Now input the data we were given and solved for back into the formula.

y = -1/2x + 6

Best of Luck!

Answer:

2

Step-by-step explanation:

first multiply everything by 6 to get rid of the fractions

then we get 5m-4 -6 = 24m -9m -30

simplify the equation 5m-10=15m-30

subtract 5m from both sides and add 30 to both sides 10m=20

divide by 10, m=2

Answer:

60% or 3/5

Step-by-step explanation:

Add up how many students take the bus: 50, and how many walk:10

Put that number over 100 and simplify: 60/100=6/10=3/5

Answer:

Step-by-step explanation:

4+x-3*z(7+3+6)

4+x-3*z*16

4+x-3*16z

4+x-48z

x-48z+4

Answer:

[tex]x = 1[/tex]

Step-by-step explanation:

[tex]7(x+2)+34=55[/tex]

[tex]7(x+2)+34=55[/tex]

[tex](7)(x)+(7)(2)+34=55[/tex]

[tex]7x+14+34=55[/tex]

[tex]7x+48=55[/tex]

[tex]7x = 55 - 48[/tex]

[tex]7x=7[/tex]

[tex]x = 1[/tex]

Answer:x=1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factorize both numbers:

Common factors are:

So HCF is:

[tex]\Large \red \mid \: \underline {\rm {{{\color{blue}{Explanation...}}}}} \: \red \mid[/tex]

As per Euclid Division Algorithm.

[tex] \longrightarrow \: \Large\underbrace {\rm {{{\color{red}{ \: a \: = \: bq \: + \: r \: }}}}} [/tex]

[tex]\large\bf{\purple{ \hookrightarrow \: }} \tt \: \: 900 \: = \: 270 \: \times \: 3 \: + \: 90[/tex]

[tex]\large\bf{\orange{ \implies \: }} \: \:r \: \neq \: 0[/tex]

Again Applying Euclid Division Algorithm

[tex]\large\bf{\purple{ \hookrightarrow \: }} \tt \: 270 \: = \: 90 \: \times \: 3 \: + \: 0[/tex]

[tex]\large\bf{\orange{ \implies \: }} \: \:r \: = \: 0[/tex]

As the reminder is 0 , 90 will be the greatest common divisor for the two given numbers.

[tex]{\boxed{ \Large{ \blue{ \bf{ \underline{ HCF \: = \: 90}}}}}}[/tex]

Hi! I'm happy to help!

This expression is an exponent, or repeated multiplication. 3^3 is three multiplied by itself (3), 3 times, or 3×3×3

So, our non-exponent expression will be 3×3×3.

I hope this was helpful, keep learning! :D

komhnyrtgfdedavfbfsfb

Answer:

13x + 10

Step-by-step explanation:

Rafael's hot-water tank holds:

[tex]17x + 11[/tex]

Gallons of hot water.

Rafael used:

[tex]4x + 1[/tex]

Gallons of hot water.

And we want to determine which binomial represent the amount of hot water remaining in the tank.

The amount remaining R in the tank will be the amount taken by Rafael subtracted from the total amount. Hence:

[tex]\displaystyle R = (17x+11) - (4x + 1)[/tex]

Simplify. Distribute:

[tex]\displaystyle R = (17x + 11) + (-4x - 1)[/tex]

Rearrange:

[tex]R = (17x - 4x) + (11 - 1)[/tex]

Combine like terms:

[tex]R = 13x + 10[/tex]

In conclusion, 13x + 10 gallons remain in the tank.

Answer:

10.71

Step-by-step explanation:

0.15*71.40

Answer:

182

Step-by-step explanation:

First, we can say that ∠ACB and ∠BCF are opposite angles because they are not next to each other and are formed by intersecting lines. Therefore, ∠ACB = ∠BCF

Next, angles correspond with the side opposite of it. This means that, for example, ∠ACB corresponds with line AB and ∠BCF corresponds with line BF. Because ∠ACB and ∠BCF are equal and the triangles are similar, we can say that their corresponding sides have a ratio with each other. Similarly, ∠CAB corresponds to CB, ∠ABC corresponds to AC, ∠CWV corresponds to CV, and ∠CVW corresponds to CB.

Because the triangle CVW is isosceles, we can say that the angles whose corresponding sides are equal are equal as well, so ∠CAB = ∠ABC and ∠CVW = ∠CVW. Next, because ∠ACB and ∠BCF are equal and correspond to each other, and the other two angles in each triangle are equal to each other, we can say that the other two angles must be equal. Another way of putting this is like this:

Say that x = ∠CAB. Then,

∠CAB + ∠ABC + ∠ACB = 180

x + x + ∠ACB = 180

2x + ∠ACB = 180

subtract ∠ACB from both sides

180 - ∠ACB = 2x

Similarly, if y = ∠CWV,

180 - ∠WCV = 2y. Therefore, 2y=2x and y=x, so ∠CAB = ∠ABC = ∠CWV = ∠CVW.

Given this, we can say that sides CV and CW correspond with BC and AC. This means that the ratio between, for example, CV and BC is equal to the ratio between CW and AC. Therefore,

CV/BC = CW/AC

84/182 = 84/?

Filling in the blank, 84/182 is equal to 84/182, so ? = 182

Answer:

formula= l³

Step-by-step explanation:

length of the cube =10mm

volume = l³

= 10³

=10×10×10

ans =1000mm

Answer:

I believe it is 2 days

Step-by-step explanation:

3/10 can be simplified into 1.5/5 and just go up by the 1.5/10 of a pound she needs each day. if she did it for 3 days she would need 4.5/5 so she has enough for 2 days

Answer:x+20

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

n+2 represemts the number of sides in the polygon for the nth member of the sequence

Answer:

The answer is in the image above

Answer:

Step-by-step explanation:

The antiderivative for b is definitely incorrect, as stated in the comments section.

[tex]\int\limits {\frac{1}{2x^2}+\sqrt{x} } \, dx \\\frac{1}{2} \int\limits{\frac{1}{x^2} } \, dx+\int\limits {x^{\frac{1}{2}} } \, dx[/tex]  That's a bit more simplified. One more important simplification and then we can integrate one term at a time:

[tex]\frac{1}{2}\int\limits{x^{-2}} \, dx +\int\limits{x^{\frac{1}{2} } \, dx[/tex]  and here we go:

[tex]\frac{1}{2}(\frac{x^{-2+1}}{-2+1})+(\frac{x^{\frac{1}{2}+\frac{2}{2}} }{\frac{1}{2}+\frac{2}{2} })+C[/tex] and

[tex]\frac{1}{2}(\frac{x^{-1}}{-1})+(\frac{x^{\frac{3}{2}} }{\frac{3}{2} })+C[/tex] and finally,

[tex]-\frac{1}{2x}+\frac{2}{3}x^{\frac{3}{2}}+C[/tex]

Answer:

8!

Step-by-step explanation:

Basically, you would use the phythagorean theorem to find the answer plugging in the values that you already have to find the missing side (a^2 + b^2 = c^2)

since you have the length of the hypothenuse (c in the equation) and one of the legs of the triangle (a or b, it doesn't matter, but for the sake of the equation we'll plug in 6 for a), we can insert these numbers to find b!

Plugging it into the equation:

A^2 + b^2 = c^2

(6)^2 + b^2 = (10)^2

36 + b^2 = 100

subtract both sides to get b^2 = 64

then square root both sides b = 8

Answer: 7/64 inch is bigger by 1/64 inch difference

Step-by-step explanation:

STEP ONE: Convert the denominators into Least Common Multiple (LCM)

LCM of 32 and 64:

First 3 multiples of 32: 32, 64, 96

First 3 multiples of 64: 64, 128, 192

Since 64 overlaps in both terms, 64 is the LCM of 32 and 64.

STEP TWO: Convert the fractions

3/32 = (3 × 2) / (32 × 2) = 6/64

7/64 = 7/64

STEP THREE: Compare the numerator to define the size of fractions

6 < 7, therefore, 6/64 < 7/64

7/64 - 6/64 = 1/64 inch

Hope this helps!! :)

Please let me know if you have any questions

Answer:

It is 9000 cents or $90 total for 5 hours

Step-by-step explanation:

Answer:

a = Maize takes up 17.5 Hectares, Beans takes up 16 Hectares, and  Potatoes takes up 12 hectares

b = Beans takes up 17.8 hectares, and Potatoes takes up 10.2 Hectares

Step-by-step explanation:

A: 50/100 = .5

.5 is = to 1% of the farm

Maize = .5*35

Maize = 17.5 Hectares

Beans = .5*32

Beans = 16 Hectares

Potatoes = .5*24

Potatoes = 12 hectares

B: Beans: 16*1.1125 = 17.8 hectares

Potatoes: 12*.85 = 10.2 Hectares

Answer:

137027.1 Rupees

Step-by-step explanation:

(125200+5302) * 0.05 = 6525.1

130502+6525.1 =  137027.1

Answer:

Step-by-step explanation:

23550=15000(1+.0475t)

t=12

Answer:

b - a

Step-by-step explanation:

Given M and N are midpoints, let's find the coordinates of the midpoints first. Then we can use that information to find the length

The midpoint formula is

( (x1 + x2)/2, (y1 + y2) / 2 )

So M = ( (2a + 2c)/2, (0 + 2d)/2 ) = (a + c, d)

And N = ( (2c + 2b)/2, (2d + 0)/2 ) = (c + b, d)

Because the y-coordinates are the same (d), the distance from M to N is,

final x-coordinate minus initial x-coordinate

x-coordinate of N minus x-coordinate of M

(c + b) - (a + c)

Distribute the negative and remove the parentheses

c + b - a - c

Group the cs together

c - c + b - a

Cancel out the cs

b - a

Answer:

[tex] - 9 \sqrt{48} - 8 \sqrt{12} \\ = - 9 \times 4 \sqrt{3} - 8 \times 2 \sqrt{3} \\ = - 36 \sqrt{3} - 16 \sqrt{3} \\ = \sqrt{3} ( - 36 - 16) \\ = \sqrt{3} \times - 52 \\ = - 52 \sqrt{3} \\ thank \: you[/tex]