Given: RT || SP, RQ ≅ QP, RP bisects ST at Q
Prove: ΔRQT ≅ ΔPQS
Triangles R Q T and P Q S are connected at point Q. Lines R T and S P are parallel. The lengths of lines R Q and Q P are congruent.
Tamir is working to prove the triangles congruent using SAS. After stating the given information, he states that TQ ≅ QS by the definition of segment bisector. Now he wants to state that ∠RQT ≅ ∠PQS. Which reason should he use?
alternate interior angles theorem
corresponding angles theorem
linear pair postulate
vertical angles theorem
Answer: vertical angles theorem
Step-by-step explanation:
Equivalent fractions for 6/11 and 5/12 using the common denominator
well, the cheap answer is, simply multiply the top and bottom of one fraction by the other fractions denominator, Check the picture below.
Scott sells beaded necklaces. Each large necklace sells for $6.20 and each small necklace sells for $4.70. How much will he earn from selling 1 large necklace and 3 small necklaces?
Answer:
$20.13
Step-by-step explanation:
$4.70x3=$14.10+$6.20 = $20.13
Sam is doing a project about pets. what is an example of a statistcal question he could write about the topic
An example of a statistcal question that Sam could write about is the weight of the members of a sample of 100 dogs.
What is statistical question?Statistical question can be regarded as the question that needed alot of data processing before one can answer it.
When choosing a Statistical question, one should know that it will involve collection of data for processing such as classification of the pet base on their weights.
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Four students each contribute $12 to buy a pizza, salad, and large soda. How much would each student pay if two more students also contributed?
E. $6.50
F. $6
G. $7
H. $8
Answer:
8$
Step-by-step explanation:
4 students contribute 12$ Each.
So, total amount becomes 12 x 4 = 48$
If two more students contribute it makes a total of 6 students.
so we now divide the 48$ by 6
48/6=8$
Kaye will compute for the area of a circle using the formula A=π×r2.If given is the diameter of a circle , what should be computed first?
Answer:
Find the radius.
Step-by-step explanation:
The task is to solve for area of a circle, and you are given the diameter.
The formula for area is :
Area of a circle = π × (radius)²
In this formula, there is only one input value, and that is the radius.
To find the radius, you must know the relation :
Radius x 2 = Diameter
Hence, the radius must be computed first and foremost.
can someone do this for me please?! Just the answer pls
Step-by-step explanation:
1: MD = 17.621
VD = 27.41
2:
60 degrees
3: sinC
Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s gross profit margin. a. 42.5% b. 55.7% c. 76.3% d. 179.5%
Answer:
actually its A... i know cause i got it WRONG
Step-by-step explanation:
The gross profit margin for Korey’s Comics given the net sales, gross profit and net income is 76.3%.
What is the gross profit margin?Gross profit margin is a profitability ratio. It is used to measure the financial health of a company and used to determine the efficiency with which the firm generates profits.
Gross profit margin = gross profit / net sales
3320 /3320 = 76.3%
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Please help giving 80 points
Graph the function on the coordinate plain
A)what are the x intercepts
B)what is the y intercepts
C)what is the maximum and minimum value
Answer:
X Intercepts: (2, 0), (-6, 0),
Y Intercepts: (0, – 12)
minimum: (-2,-16)
Step-by-step explanation:
A) what are the x intercepts
X- axis interception points of x²+ 4x– 12:
(2,0), (-6,0)
B)what is the y intercepts
Y-axis interception point of x² + 4X – 12:
(0, – 12)
X Intercepts: (2, 0), (-6, 0), Y Intercepts: (0, – 12)
C)what is the maximum and minimum value
Parabola equation in polynomial form
The parabola params are:
a=1, b=4,c= -12
xv= -b/2a
xv= -4/2.1
simplify
xv=-2
Plug in xv = -2 to find the yv value
yv= -16
Therefore the parabola vertex is (-2, – 16)
If a<0. then the vertex is a maximum value
If a>0. then the vertex is a minimum value
a=1
minimum=(-2,-16)
Pleaseee helppp???????
Answer:
240
Step-by-step explanation:
see photo for solution
Graph the equation
x - y= -4
Answer:
y=x+4
Step-by-step explanation:
y intercept should be at positive 4 and a straight line going in the positive direction
Find the probability of each event.
A fair coin is flipped ten times. What is
the probability of the coin landing tails up
at least nine times?
Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
The coin is fair, hence p = 0.5.The coin is tossed 10 times, hence n = 10.The probability that is lands tails up at least nine times is given by:
[tex]P(X \geq 9) = P(X = 9) + P(X = 10)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098[/tex]
[tex]P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001[/tex]
Hence:
[tex]P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108[/tex]
0.0108 = 1.08% probability of the coin landing tails up at least nine times.
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For the the axis of symmetrythe vertex and the yintercept y = x ^ 2 + 16x + 24
Answer: D (bottom option)
Axis of Symmetry: x = -8
Vertex: (-8, -40)
Y-Intercept: 24
Step-by-step explanation:
Start by putting the equation into vertex form, which you can do by completing the square. This means the equation will in the form [tex]y=a(x-h)^2+k[/tex].
Once you've done that, you'll get [tex]y=(x+8)^2-40[/tex]. This means that h = -8 and k = -40, so the vertex is (-8, -40) because vertex form is (h, k).
The axis of symmetry is x = -8, because the axis of symmetry is x = h.
PLS ANSWER FAST TYYYYYSMMM!!!
Answer:
option 3, [tex]972\pi in^{3}[/tex]
Step-by-step explanation:
The formula to find the volume of a sphere is [tex]\frac{4}{3} \pi r^{3}[/tex]
where r os the radius
given: diameter = 18in
radius = diameter / 2
radius = 18 / 2
r = 9in
Plug in radius:
[tex]\frac{4}{3} \pi (9)^{3}\\\\\frac{4\pi (9)^{3}}{3} \\\\Factor (9)^{3}: (3)^{6}\\\\\frac{(3)^{6} * 4\pi }{3} \\\\[/tex]
cancel common factor: 3
[tex]3^{5} * 4\pi \\3^{5} = 243\\243 * 4\pi\\972\pi[/tex]
Let me know if you have any questions !
11. Using the triangle below, set up and solve
an equation in order to find the value of x.
Answer:
x = 27.4
Step-by-step explanation:
[tex]\sf \angle Q+ \angle R+ \angle S=180^{o} [/tex]
[tex]\sf 34.6 + 118 + x = 180[/tex]
Add 34.6 and 118 = 152.6
[tex]\sf 152.6+x=180[/tex]
Subtract 152.6 from both sides.
[tex]\sf x=180 - 152.6[/tex]
Subtract 152.6 from 180 = 27.4.
Therefore, the missing angle "x" is 27.4.
ladder reaches a window 18 ft high,
and makes a 64 angle with the
ground. How long is the ladder?
Round your ancun
Using trigonometric ratio, the length of the ladder that reached the window is 20.03 feet
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let l represent the length of the ladder, using trigonometric ratio:
sin(64) = 18/l
l = 20.03 feet
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PLEASE HURRY, 100 POINTS!!
Another common bet in roulette is on the number being even or odd (not including 0 or 00). If the wheel is spun once, what is the probability of the outcome being an odd number?
Answer:
9/19 or 47.4% (nearest tenth)
Step-by-step explanation:
A roulette wheel is numbered 1 to 36 with 0 and 00.
Therefore, there is a total of 38 evenly-spaced pockets.
The number of odd numbers from 1 to 36 is 18
(1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35)
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \textsf{Probability of odd number}= \sf \dfrac{18}{38}=\dfrac{9}{19}=47.4\%[/tex]
Roulette wheel contains 1 to 36 numbers excluding 0 and 00
Total nos =38Total odd nos
{1,3,5,7,9,11,13,15,17,19,21,23,25,29,31,33,35}
Total=18Probability
18/389/19Given the data below which set of numbers contains the lower quartile median and upper quartile help fast please !!
Answer:
{27.5, 29, 34}.
Step-by-step explanation:
In order they are
24 27 28 28 29 31 32 36 38
The Median = middle value = 29.
Lower quartile = mean of 27 and 28 = 27.5.
Upper quartile = mean of 32 and 36 = 34.
Answer:
{27.5, 29, 34}
Step-by-step explanation:
Arrange in increasing order :
24, 27, 28, 28, 29, 31, 32, 36, 38Lower Quartile :
24 + 27 + 28 + 28 / 4107/426.75 ≈ 27.5 (closest based on options)Median :
5th term29Upper Quartile :
31 + 32 + 36 + 38 / 4137/434.25 ≈ 34My friend recently proved 0=1 and i know something is wrong but i dont know what
√a × √b = √ab
only if at atleast one among a,b is positive
here both a,b is non negative so not possible
Step-by-step explanation:
Remember when expanding radicals,
[tex] \sqrt{ab} = \sqrt{a} \times \sqrt{b} [/tex]
When expanding radicals into two radicals, we don't let our radicand have two negative answers.
[tex]i = \sqrt{ - 1} [/tex]
[tex] {i}^{2} = - 1[/tex]
We don't do this
[tex] (\sqrt{ - 1} ) {}^{2} = \sqrt{ - 1 \times - 1} [/tex]
[tex] - 1 = \sqrt{1} [/tex]
[tex] - 1 = 1[/tex]
A cone with a radius 3 feet is shown. Its approximate volume is 140 cubic feet.
Answer:
the answer to this question should be 14.85
Can you guys help me find x and y
x -2y =-3
8x -6y =16
-2y -2y = 20
x - 7y = 14
Step-by-step explanation:
x - 2y = -3,____1 , 8x - 6y = 16____ 2
x - 2y = -3
x = 2y -3 ____ equation 3
eqn 3 in 2
2=> 8x - 6y = 16
8(2y-3) - 6y = 16
16y - 24 - 6y = 16
10y = 16 + 24
10y = 40
y = 40 / 10
y = 4
y=4 in eqn 3
3=> x = 2y - 3
x = 2(4) - 3
x = 8 - 3
x = 5
x = 5 , y = 4
-2y-2y = 20 , x - 7y = 14___ 1
-2y-2y = 20
-4y = 20
y = 20/ -4
y = -5
y = -5 in eqn 1
1=> x - 7y = 14
x - 7(-5) = 14
x - (-35) = 14
x + 35 = 14
x = 14 - 35
x = -21
x = -21 , y = -5
help!
Giving brainiest
Answer:
1) 9y^10
2) 560u^16 v^15
Step-by-step explanation:
What weight would give a newborn a z-score of −0.75? grams
Using the normal distribution, it is found that a weight of 3125 grams would given a newborn a z-score of −0.75.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Researching the problem on the internet, it is found that the mean and the standard deviation for the weight of newborns is given as follows:
[tex]\mu = 3500, \sigma = 500[/tex]
Hence, the weight associated with Z = -0.75 is given by X:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.75 = \frac{X - 3500}{500}[/tex]
X - 3500 = -0.75(500)
X = 3125.
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The triangle below is equilateral. Find the length of side X in simplest radical form with a rational denominator.
Answer:
kinda hard
Step-by-step explanation:
h² = c² + c²
([tex]\sqrt{11}[/tex])² = ([tex]\sqrt{11}[/tex]/2)² + x²
x² = ([tex]\sqrt{11}[/tex])² - ([tex]\sqrt{11}[/tex]/2)²
answer: x = [tex]\sqrt{11}[/tex] - [tex]\sqrt{11}[/tex]/2
A rectangular prism with a length of 4 meters, width of 0.5 meters, and height of 4 meters. 2 triangular prisms are cut out of the cube. The triangular prisms have triangular sides with a base of 2 meters and height of 1 meters. The prism has a height of 0.5 meters.
Using the dimensions in the diagram, calculate how much cement is needed to build the monument.
4 m3
7 m3
8 m3
16 m3
i need the answer as fast as possible like i need it today and if right many marked branliest
Answer:
7 m3
Step-by-step explanation:
Correct
The cement that is needed to build the monument will be 7 m³. Thus, the correct option is B.
What is the volume?The volume of the rectangular prism is calculated as,
V = LWH
V = 4 m x 0.5 m x 4 m
V = 8 m³
The volume of the triangular prism is calculated as,
V = (BHL) / 2
V = (2 m x 1 m x 0.5 m) / 2
V = 0.5 m³
Since there are two triangular prisms, the total volume of both triangular prisms is:
⇒ 2 x 0.5 m³
= 1 m³
The total amount of cement is calculated as,
⇒ (Volume of rectangular prism - Total volume of both triangular prisms)
⇒ (8m³ - 1m³)
⇒ 7 m³
Thus, the correct option is B.
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Figure 1 is similar to figure 2. What is the height of figure 1?
4x 2x
x+1 x
A.1 Units
B.2 Units
C.8 Units
D.4 Units
The calculated value of the height of figure 1 is (d) 4 units
How to calculate the height of figure 1?from the question, we have the following parameters that can be used in our computation:
The figures
The figure 1 is similar to figure 2
So, we have
4x/(x + 1) = 2x/x
When evaluated, we have
4x = 2x + 2
So, we have
2x = 2
Evaluate
x = 1
This means that
Height = 4 * 1
Evaluate
Height = 4
Hence, the height of figure 1 is 4 units
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find the value of x.
Answer:
74 I believe
180 - 32 = 148
148/2 = 74
Hope this helps!
Answer:
[tex]x + x + 32 = 180(sum \: of \: inside \: the \: triangle \: is180) \\ 2x = 180 - 32 \\ x = \frac{148}{2} \\ x = 74[/tex]
What is the median of the data set represented by the plot?
Answer:
5
Step-by-step explanation:
It's in the middle of all the numbers
If you do need a more in-depth explanation just comment under here and I'd be happy to show you how I did it :)
(100 points)Match each graph on the left with the functions on the right
Answer:
See below ~
Step-by-step explanation:
Graph 1 : y = -3x + 3
Graph 2 : y = 6x + 6
Graph 3 : y = 6x + 9
Graph 4 : y = -7x + 1
Recall slope intercept form of a line
y=mx+bwhere b is y intercept
Whatever m be b is constant for line .
So we can find the equations through y intercepts
#1
y intercept near 5 but beneath 5The most probable according to our options is 3
So equation is
y=-3x+3#2
Y intercept just over 5 .It must be 6
y=6x+6#3
y intercept around 10
.Most probable according to options is 9
y=6x+9#4
Just above the origin the y intercept is present.
y=-7x+1The square below represents one whole.
What percent is represented by the shaded area?
Answer:
0.85.Step-by-step explanation:
We know that:
this grid is 1 whole.We don't know:
how much is shaded in.Let's count up by tenths:
0.10.20.30.40.50.60.70.8It suddenly stops at 0.8.
Let's count up by hundredths:
0.810.820.830.840.85It stops at 0.85.
0.85 is your answer.