The figure shows triangle PQR and line segment AB, which is parallel to QR:
Triangle PQR has a point A on side PQ and point B on side PR. The line AB is parallel to the line QR.
Part A: Is triangle PQR similar to triangle PAB? Explain using what you know about triangle similarity. (5 points)
Part B: Which line segment on triangle PAB corresponds to line segment QR? Explain your answer. (3 points)
Part C: Which angle on triangle PAB corresponds to angle Q? Explain your answer. (2 points)
Answers
Answer:
Hello...
Step-by-step explanation:
A)It is similar but not congruent.
B)segment AB.
C)angle A.
HOPE IT HELPS YOU DEAR.....
The answers to all parts are given below.
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a triangle PQR and line segment AB, which is parallel to QR.
[A] -
ΔPQR is similar to ΔPAB as -
∠P = ∠P (Common)
∠PAB = ∠PQR (Corresponding angles)
∠PBA = ∠PRQ (Corresponding angles)
Using AAA similarity rule, ΔPQR is similar to ΔPAB.
[B] -
Line segment AB corresponds to line segment QR
[C] -
∠A in ΔPAB corresponds to ∠Q.
Therefore, the answers to all parts are given above.
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Related Questions
I NEED HELP ASAP THIS IS MISSING PLESSE HELP ME RN YOU WILL GET BRAINLIEST
Answers
\({\qquad \qquad \huge \rm \underline { \underline{ Répondre}}}\)
Standard equation of an ellipse is :
\(\qquad \rm\dashrightarrow \: \dfrac{ {(x - h)}^{2} }{ {a}^{2} } + \dfrac{ {(y - k)}^{2} }{ {b}^{2} } = 1\)
If b is smaller than a, then it will be a horizontal ellipse, and if b is greater than a, it will be a vertical ellipse. and shifting depends upon coordinates of its centre.
Now, our given equation is :
\(\qquad \rm\dashrightarrow \: \dfrac{ {x}^{2} }{ 15 } + \dfrac{ {y }^{2} }{ {10} } = 1\)
\(\qquad \rm\dashrightarrow \: \dfrac{ {x}^{2} }{ {(\sqrt{15})}^{2} } + \dfrac{ {y}^{2} }{ {(\sqrt{10}) {}^{2} } } = 1\)
[ here, b = root 10 and a = root 15, hence a is greater than b here, which means : its a horizontal ellipse.
And since it is a horizontal ellipse with center at origin, it's major axis will lie on x - axis.
Assume that f(x) is everywhere continuous and it is given to you that lim x→6 = f(x)+9/x−6 =−12 It follows that y= is the equation of the tangent line to y=f(x) at the point
Answers
The original function f(x) is -7x + 52, and the value a at which the tangent line touches the curve is x = 6.
The definition of the derivative of a function f(x) at a point a is given by:
f'(a) = lim(h→0) [f(a + h) - f(a)] / h
By comparing this definition with the given limit expression, we can see that a + h corresponds to x, and a corresponds to 6. So we can rewrite the limit expression as follows:
lim(x→6) [(f(x) + 10) / (x - 6)] = -7
lim(h→0) [f(6 + h) - f(6)] / h = -7
Now we have a limit expression that matches the definition of the derivative. By comparing the numerator in this limit expression with the definition, we can deduce that f(6) = 10 since f(6) is the y-value when x = 6.
Next, let's simplify the limit expression further:
lim(h→0) [f(6 + h) - f(6)] / h = -7
This expression represents the derivative f'(a) evaluated at a = 6. To determine the function f(x), we need to integrate the derivative expression with respect to x:
f(x) = ∫ [-7] dx
Integrating the constant -7 yields:
f(x) = -7x + C
Here, C is the constant of integration, which we'll determine shortly. Now, let's find the value of a, which represents the point at which the tangent line touches the curve.
Since f(6) = 10, we can substitute this value into the equation:
10 = -7(6) + C
10 = -42 + C
C = 52
Therefore, the function f(x) is given by:
f(x) = -7x + 52
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Complete Question:
Assume that f(x) is everywhere continuous and it is given to you that lim x→6 (f(x)+10) / x−6 =−7 It follows that y= is the equation of the tangent line to y=f(x) at the point The limit below represents a derivative f'(a). Find f(x) and a.
1. A rectangular lot measures 12 m long and 10 m wide.
Answers
The parameter is 44m
You didn’t specify which you needed. Hope this helps!
Add 7m/16+(-m/16) . Reduce, if possible.
Plzz answer quickly
Answers
Answer:
6m/16 = 3m/8
Step-by-step explanation:
since the fractions have the same denominator, just take out the operation on the numerators of the 2 fractions. So, 7m +(-m).
7m +(-M) is the same as 7m - m, so that is 6,
when you put it back together, you get 6m/16, simplify it to 3m/8
two common tolerance zones of a perpendicularity tolerance are two parallel planes or a cylinder. question 4 options: true false
Answers
The given statement "two common tolerance zones of a perpendicularity tolerance are two parallel planes or a cylinder" is true because Perpendicularity tolerance is a geometric tolerance that is used to control the orientation of a feature relative to a datum.
It ensures that a feature is perpendicular to a specified datum plane or axis within a certain tolerance zone. There are two types of tolerance zones for perpendicularity: a pair of parallel planes and a cylinder. The parallel plane tolerance zone consists of two parallel planes that are perpendicular to the datum plane or axis.
The feature must lie between these two planes within the specified tolerance limit. The cylinder tolerance zone, on the other hand, consists of a cylinder that is coaxial with the datum axis. The feature must lie within the cylinder and be perpendicular to the axis within the specified tolerance limit.
Perpendicularity tolerance is essential in ensuring the proper fit and function of parts in a machine or assembly. Without it, parts may not fit together properly, causing problems such as misalignment, binding, or excessive wear.
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Find the slope and the y-intercept of the graph of y=−7x+12.
Answers
m = slope, b = y intercept
Answer: slope: -7
Y intercept: 12
Hi!
\(\spadesuit\) We're given an equation in slope-intercept form.
The formula for slope-intercept is:\(\clubsuit~~~\large\boldsymbol{y=mx+b} ~~~\clubsuit\)
where:
\(\clubsuit ~\boldsymbol{m - > slope}\)
\(\clubsuit~~\boldsymbol{b- > y-intercept}\)
Therefore,
\(\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Answers:}\begin{cases}\bold{Slope:-7}\\\bold{y-intercept:12}\end{cases}}}}\)
Cheers!!I hope that helped, have a wonderful day. :)
Can (3,0) (0,-2) (6,2) and (-3,-4) be generated as a linear function yes or no?
Answers
Richard and teo have a combine age of 38 Richard is 11 years okder than twice teo age how old are Richard and teo?
Answers
Answer: Richard is 29 and Teo is 9.
Step-by-step explanation: Use Substitution
amanda wants to send her dresses to the laundry downstairs, and she wants to keep her cleaning within a budget of . the laundry charges for washing one dress and for ironing one. write an inequality to describe the possible number of dresses that amanda can send to be washed and send to be ironed. if amanda has dresses to be washed, what is the maximum number of dresses that she can send to be ironed? dresses (amanda can send to be ironed).
Answers
The maximum number of dresses that Amanda can send to be ironed is 8.
What is defined an inequality?An inequality compares two values to determine whether one is less than, greater than, or merely not equal to the other.a ≤ b shows that a is less than or equal to ba ≥ b shows that a is greater than or equal to b.For the given question;
Total budget of Amanda = $100.
Price of washing = $8 per dress.
Price of ironing = $5 per dress.
Total number of dress to be washed = 7.
Let x be the number of dress to be send for ironing.
The inequality becomes.
5x + 7×8 ≤ 100
5x + 56 ≤ 100; is the required inequality.
For finding the x, equate the value.
5x + 56 ≤ 100
5x ≤ 44
x ≤ 8.8
But x must be less, then.
x = 8 dress.
Thus, the maximum number of dresses that Amanda can send to be ironed is 8.
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The complete question is-
Amanda wants to send her dresses to the laundry downstairs, and she wants to keep her cleaning within a budget of $100 . the laundry charges $8 for washing one dress and for ironing one $5. write an inequality to describe the possible number of dresses that amanda can send to be washed and send to be ironed. if amanda has 7 dresses to be washed, what is the maximum number of dresses that she can send to be ironed? dresses (amanda can send to be ironed).
An example of a qualitative variable is Multiple Choice number of children in a family. weight of a person. color of ink in a pen. miles between oil changes.
Answers
Due to its subject-specific classification, ink color in pens is a qualitative variable.
What is a Qualitative variable?The factors that cannot be measured with a numerical value are known as qualitative variables. In order to define anything, these quantities are not quantified or tallied; instead, data is categorized.There is no numerical way to express it.Quantitative variableThe other choices are erroneous because the variables that are numerically specified in the other choices—an individual's weight, the number of children, and the number of miles—are these.Therefore, all of those are quantitative variables.Consequently, option (C) is the appropriate choice.
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A. 9x+8
B. 18x
C. 18x+16
D. 9x
Answers
Answer:
A. THERERREREEHUGGG HHHU
Step-by-step explanation:
Length = 5x +4
Breadth = 4x-4
Perimeter = 2(L+B)
Perimeter :
\(2(5x + 4 + (4x - 4)) \\ 2(5x + 4 + 4x - 4) \\ 2(5x + 4x + 4 - 4) \\ 2(9x) = 2 \times 9x\)
\( = 18x\)
I need help on the last part " -6y+3n-17y+2n
It must have algebra blocks and "KEEP CHANGE FLIP"
Please help I will give out brainiest but I need answers ASAP!
Answers
Answer:
i don't know if this is right but i think it may be 5n-23y or -23y+5n
Step-by-step explanation:
(Bearing)
A boy walk 70 m South and 150 m wet
a) How far i he from the tarting point?
b) On what bearing hould he walk to get back to hi tarting point
Answers
(a) The boy is 165.5m far from the starting point.
(b) To return to the starting place, the boy should stroll at a 45° bearing.
Given data;
A boy will walk 70m south and 150m west.
By assuming a triangle and applying right angled triangle formula,
We get;
(a) Distance from the starting point,
H² = 70² + 150²
H² = 4900 + 22500
H² = 27400
H = √27400
H = 165.5
The boy is 165.5m far from the starting point.
(b) On what bearing should he walk to get back to starting point,
The boy should walk at a bearing of 45° to get back to the starting point.
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Leo Gandolfi takes out a short-term loan of $1,800 at 12 percent
for 6 months. The monthly payment is $310.50. The balance of the loan after 4 payments is
$612.34. How much does he save by paying off the loan when the next payment is due?
A $6.12
R2 $18.00
C
2,353
SCIO
Answers
In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Jan 293 18 311 1,507 16.25%
Feb 296 15 311 1,212 32.67%
Mar 298 12 311 913 49.25%
Apr 301 9 311 612 66.00%
May 304 6 311 308 82.92%
Jun 308 3 311 0 100.00%
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on average the chance that it will rain each day in portland, oregon is 36% in the winter. what is the probablitiy of it raining 5 days out of the week
Answers
The probability of it raining 5 days out of the week, given an average chance of rain of 36% each day, is approximately 0.036 or 3.6%.
To find the probability of it raining 5 days out of the week when the chance of rain each day is 36%, we can use the binomial probability formula.
The binomial probability formula is given by:
P(X = k) = (nCk) * p^k * (1-p)^(n-k)
Where:
P(X = k) is the probability of getting exactly k successes
n is the number of trials
k is the number of desired successes
p is the probability of success in a single trial
(1-p) is the probability of failure in a single trial
In this case, we have:
n = 5 (number of days in the week)
k = 5 (desired number of rainy days)
p = 0.36 (probability of rain each day)
Using the formula, we can calculate the probability:
P(X = 5) = (5C5) * (0.36)^5 * (1-0.36)^(5-5)
Simplifying the equation:
P(X = 5) = 1 * 0.36^5 * 0.64^0
P(X = 5) ≈ 0.036
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please help me please
Answers
Answer:
its -2
Step-by-step explanation:
like my answer and gimme brainliest please
Let G be a simple directed graph with non-negative arc weights. We define capacity of a path p in G as the minimum arc weight along it: cap(p)=min e∈p
w(e). And we define volume of a pair of vertices (u,v) as the maximum capacity among paths from u to v : vol(u,v)=max p is a path from u to v
cap(p). Given graph G and a vertex s of G, present an efficient Dijkstra-like algorithm to find, for all t∈G.V\{s}, the volume of (s,t).
Answers
To find the volume of all pairs of vertices (s, t) in a directed graph G using an efficient Dijkstra-like algorithm, we can adapt the Dijkstra's algorithm with some modifications.
Here is the algorithm:
Initialize all vertices' volumes as negative infinity, except for the starting vertex s, which has a volume of 0.
vol(v) = -∞ for all v in G.V
vol(s) = 0
Create a priority queue Q to store vertices based on their volumes (minimum volume first). Initially, insert vertex s into Q.
While Q is not empty, do the following:
a. Extract the vertex u with the minimum volume from Q.
b. For each neighbor v of u:
Calculate the capacity of the path from s to v via u: cap(s, v) = min(cap(s, u), w(u, v)), where w(u, v) is the weight of the arc from u to v.
If cap(s, v) > vol(v), update vol(v) with cap(s, v) and insert v into Q if it's not already present.
After the algorithm finishes, the volumes vol(s, t) will represent the maximum capacity of paths from s to t for all vertices t in G.V{s}.
This modified Dijkstra-like algorithm finds the maximum capacity (volume) from s to all other vertices by considering all possible paths and updating the volume as we encounter smaller capacities along the way. By using a priority queue to extract the minimum volume vertex efficiently, the algorithm can run in O((|V| + |E|) log |V|) time complexity, where |V| is the number of vertices and |E| is the number of edges in the graph.
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Cecile picked 219 apple. She divided the apple equally into 3 baskets. How many apple is in each basket
Answers
Answer:
73 apples
Step-by-step explanation:
a caterer is competing for a company's business, the caterer selects a simple random sample of entrees, a simple random sample of sides, and a simple random sample of desserts for a tasting. the sample is a sample.
Answers
The sample is a three-stage cluster sample
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CARD GAME PROBLEM
A card game for 2-6 players has a deck of cards that can always be divided evenly among
all the players. What is the smallest possible number of cards that can be in the deck?
Answers
Answer:
120 cards
Step-by-step explanation:
2,3,4,5, and 6 are all factors of 120
Figure LQPO is a parallelogram.Q65°35°51°0The measure of angle LOQ =oThe measure of angle OPQ =The measure of angle OPL =The measure of angle LQP =The measure of angle LPQ =Blank 1:Blank 2:Blank 3:Blank 4:Blank 5:
Answers
SOLUTION
The angles at points L and O make up a straight line.
These angles are
\(65^o,35^o,51^o\text{ and angle LOQ}\)Angles on a straight line = 180 degrees. So
\(\begin{gathered} 65+35+51+angleLOQ=180^o \\ 151+\text{ angle LOQ = 180} \\ \text{LOQ = 180 - 151 = 29}^o \end{gathered}\)Therefore, angle LOQ = 29 degrees
Angle OPQ at point P is opposite to the angle at point L.
The angle at point L = 65 + 35 = 100 degree
Opposite angle of a parallelogram are equal.
Therefore, angle OPQ = 100 degrees
Angle OPL is alternate to angle PLQ. And angle PLQ = 65 degrees
Alternate angles are always equal.
Therefore, angle OPL = 65 degrees
Before we find LQP, let's find LOP.
Recall that LOQ = 29 degrees. So, LOP = 29 + 51 = 80 degrees
LQP is opposite to LOP. Since opposite angles of a parallelogram are equal,
Therefore, LQP = 80 dgrees.
Angle LPQ is alternate to angle OLP. OLP = 35 degrees
Since alternate angles are equal,
Angle LPQ = 35 degrees
how many weekdays a year
Answers
There are 365 days in a year, but only 52 weeks in a year.
The number of weekdays in a year can be calculated using a simple formula. The formula is (365 - (52 x 2))/7. This means that there are an average of 365/7 = 52.14 weeks per year. Of those weeks, 5 of them contain 7 days each, for a total of 35 days. The remaining 17 days are spread out throughout the year and are known as weekdays. This means that there are a total of 365 - 35 = 330 weekdays in a year. This formula takes into account the two weekends, which are 52 Saturdays and Sundays, in a year and divides the remaining days by 7 to determine the weekdays (Monday-Friday). In a year, there are 261 weekdays. This can be further broken down into 52 weeks with 5 days each. To calculate the number of weekdays in any given year, the same formula can be applied. For instance, a 2021 year would be (365 - (52 x 2))/7 = 261 weekdays. This formula is useful in planning for the number of days available for work or school in a year.
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The wholesale price of a sweater is $ 35 . The retail price of the sweater is 10 % more than the wholesale price. What is the retail price of the sweater?
Answers
Answer:
$38.5Step-by-step explanation:
In this problem we are going to first solve for 10% of $35 an add it to the wholesale price to get the retail price
10% of $35
\(\frac{10}{100}*35= 0.1*35= 3.5\)
The retail price is 3.5+35= $38.5
Answer:
$38.50
Step-by-step explanation:
Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $192 in interest after 3 years. How much money should he deposit? A.
$40
B.
$400
C.
$4,000
D.
$3,072
Answers
The amount that Bert should deposit to earn $192 interest is $4,000 (option C).
How much should he deposit?When an account earns a simple interest, the account increases linearly. It means that the value of the account increases at a constant rate.
The rate of increase is determined by the amount deposited, the interest rate and the number of years the money was deposited for.
Amount to be deposited = simple interest / (years x interest rate)
$192 / (0.016 x 3) $192 / 0.048 = $4,000
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Margaret is planning a wedding reception. She wants to spend less than her budget of $4,991, and Margaret has already spen
$2,016. The meal price per guest is $25. How many guests, x, can Margaret invite to the reception and stay under budget?
Select the number line that includes the largest number of guests Margaret can invite without exceeding her budget.
Answers
Answer:
I'm pretty sure it's C.
Step-by-step explanation:
4,991 - 2,016 is 2975 for the amount of money she has left over after what she spent already. 2975 divided by 25 is 119 for the amount of guests she can serve.
Write an inequality
I can work at most 30 hours per week
Answers
Answer:
\( h \le 30 \)
Step-by-step explanation:
Let h = number of hours of work.
At most 30 hours means 30 hours or less.
\( h \le 30 \)
16 days 5 hours 23 minutes. how many minutes and hours come out in total?
Answers
Answer:
389 hours and 23 minutes
Step-by-step explanation:
16x24=384
384+=5=389
and 23 minutes
hii! please help asap. i’ll give brainliest
Answers
Answer:
B i think
Step-by-step explanation:
What is the slope of the line through(-5, -10) and(-1, 5)?
Answers
Answer:
15/4
Step-by-step explanation:
to find the slope with two coordinates use
y2 - y1 / x2 - x1
first find the difference between the ys
the 2nd y point is 5, and the 1st y point is -10, so subtract them from each other
5 - (-10) = 5 + 10 = 15
then find the difference between the xs
the 2nd x point is -1, and the 1st x point is -5, so subtract them from each other
-1 - (-5) = -1 + 5 = 4
now put the difference in ys over the difference in xs
15 / 4
So thats your slope
What is the height of the cone below?
= 90 cm°
B = 18 cm-
© 5 cm
0 6 cm
• 15 cm
© 30 cm
Answers
Answer:
Nearly the answer is 15 cm
because answer is in decimals