Answer:
PQ measures 36 units.
Step-by-step explanation:
Line RS bisects segment PQ at R. By the definition of a bisector:
[tex]\displaystyle PR = RQ[/tex]
Hence:
We are given that RQ = x + 9 and RP = 2x, and we want to determine PQ.
Solve for x. Substitute:
[tex]\displaystyle (2x) = (x+9)[/tex]
Hence:
[tex]\displaystyle x = 9[/tex]
PQ is given by:
[tex]\displaystyle PQ = PR + RQ[/tex]
Since PR = RQ:
[tex]\displaystyle PQ =2PR[/tex]
Substitute and evaluate:
[tex]\displaystyle \begin{aligned} PQ &= 2PR \\ &= 2(2x) \\ &= 4x \\ &= 4(9) \\ &= 36 \end{aligned}[/tex]
Hence, PQ measures 36 units.
a survey of 100 high school students provided this frequency table on how students get to school. find the probability that a random selected student either takes the bus or walks. need help ASAP. picture is included.
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
if m<8= 23° find each measure.
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 )
So;m< 1 = 157m< 2 = 23m< 3 = 157m<4 = 23m< 5 = 157m< 6 = 23m< 7 = 157m< 8 = 23I hope I helped you^_^
7(x+2)+34=55 (Find X in the following question)
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 = \frac{7}{7} [/tex][tex]x = 1[/tex]
Hope it is helpful.....Answer:x=1
Step-by-step explanation:
In the figure, M and N are midpoints of RT and ST. What is the length of MN
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
The original price of a toy was $42. If the price is reduced by 20%, what is the new price of the toy?
NEED HELP PLEASE !!!
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
Imran can row at 3 m/s against the current and at 6 m/s with the current. Find the speed of the current.
komhnyrtgfdedavfbfsfb
Anyango divided her 50 hectares farm as follows.maize took 35% of the farm beans 32%;potatoes 24% and millet took the remaining part.
a). What is the area covered by each crop in hectares?
b) Anyango increased the plot for beans by 11 and quater % and reduced the plot for potatoes by 15%in the following year.
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
HELP ASAP!!!!!!!!!
Ollie is investing $15000 in an account that earns 4.75 simple interest. About how many years will it take to have a balance of $23550 his account?
Answer:
Step-by-step explanation:
23550=15000(1+.0475t)
t=12
i need help ;^; pleeeeease
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]
A cube shaped box has a side of length 10mm.What is the volume of the box?
Answer:
formula= l³
Step-by-step explanation:
length of the cube =10mm
volume = l³
= 10³
=10×10×10
ans =1000mm
Write a multiplication expression without exponents that is equivalent to 3^3.
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
HELP PLZ!Substitute the given values into the formula, and solve for the unknown variable.
A=bh; A = 60, h = 10 what is B
Find the slope and y intercept (please show work)
Find the missing length. The triangles are similar.
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
Cant figure this one out help please!
Answer:x+20
Step-by-step explanation:
If a man earns 90cents every 3 minutes and he works for a day shift of 5hours how much will he earn in that time?
my answer is 9000cents per 5 hours which is also $90 per 5 hours
Answer:
It is 9000 cents or $90 total for 5 hours
Step-by-step explanation:
Integration as the Inverse of Differentiation, Integration of ax" and Integration of the Functions of the Sum or Difference of Algebraic Terms
For each of the following, find f(x).
(a) f'(x) = x³ + 4x -1 1
(b) f'(x) = 1/2x² + root x
(c) f'(x) = 3x - 4 / 2x³
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]
(5m-4)/6 -1 = 4m - (3m+10)/2
pls answer fasttt
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
-6 + 1/4x + 3(1/4x + 6)
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
What is the answer? Given right triangle MNO below. how many units long is NO?
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
write an equation in slope-intercept form for the line described. passes through (12,0) and is parallel to y=-1/2x-3
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!
[tex]Find \: H.C.F \: of \: \\ 900 \: , 270 \\ using \: e.d.l \: \\ ( \: Euclid's \: division \: lemma \: )[/tex]
H.C.F of 900 & 270
Answer:
90Step-by-step explanation:
Factorize both numbers:
900 = 2*2*3*3*5*5270 = 2*3*3*3*5Common factors are:
2*3*3*5So HCF is:
HCF(900, 270) = 2*3*3*5 = 90[tex]\Large \red \mid \: \underline {\rm {{{\color{blue}{Explanation...}}}}} \: \red \mid[/tex]
We know that ,As per Euclid Division Algorithm.
[tex] \longrightarrow \: \Large\underbrace {\rm {{{\color{red}{ \: a \: = \: bq \: + \: r \: }}}}} [/tex]
a denotes dividendb denotes divisorq denotes quotientr denotes remainder◆━━━━━▣✦▣━━━━━◆Using Euclid Division Algorithm[tex]\large\bf{\purple{ \hookrightarrow \: }} \tt \: \: 900 \: = \: 270 \: \times \: 3 \: + \: 90[/tex]
Here ,[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]
Here ,[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.
So,[tex]{\boxed{ \Large{ \blue{ \bf{ \underline{ HCF \: = \: 90}}}}}}[/tex]
◆━━━━━▣✦▣━━━━━◆1. The hot-water tank in Rafael's house holds 17x + 11 gallons of hot water. Rafael used 4x + 1 gallons of hot water washing the dishes. Which of the following
binomials represents the number of gallons of hot water remaining in the tank?
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.
Garcy has 4/5 pound of bird seed she needs 3/10 pound to feed the birds daily which rectangle models below shows how many days worth
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
Mr Guru bought a second hand bike for rupees 125200 he Spent rupees 5302 repair it at what price should he sell it to gain 5% on his total investment
Answer:
137027.1 Rupees
Step-by-step explanation:
(125200+5302) * 0.05 = 6525.1
130502+6525.1 = 137027.1
Which expression represents the number of sides in the polygon for the nth member of the sequence?
A) n+2
B) 2n + 1
C) 4n-3
D) 3n+2
Answer:
The answer is n+2.Step-by-step explanation:
I hope U like my answer and my answer helped U....Answer:
n+2 represemts the number of sides in the polygon for the nth member of the sequence
Ann drove 378 kilometers this weekend. She drove 49 of the distance on Saturday. How many kilometers did she drive on Saturday?
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.
what is 15% of 71.40$
Answer:
10.71
Step-by-step explanation:
0.15*71.40
Solve for x and z (and find the total or a fraction or root of the equation)
4+x-3z*(7+3+6)=?
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