The given quadrilateral PQRS do not have the properties of a parallelogram, but that of a square. Because we are to prove that its consecutive sides are congruent i.e : QP ≅ QR.
The required proofs are stated below:
Statement Reason
1. <SPR ≅ <PRQ Alternate angle property
2. PT ≅ TR Definition of a mid-point
3. <PTS ≅ <QTR ≅ [tex]90^{o}[/tex] Perpendicular bisector property
4. ST ≅ TQ Mid-point of a segment
5. PQ ≅ SR Opposite side congruent property
6. ΔPQs ≅ ΔQRS Side-Angle-side (SAS) property
7. <PQR ≅ <SPQ Right angle property
8. PQ ≅ QR Congruent consecutive side property
Therefore given that PQ ≅ QR, then the given quadrilateral is a square.
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six and seven on this wkst!!!!!
Answer:
6.) x=5/4
7.) x=-6
Also, since your worksheet in paratheses says it would help to graph number 7, I attached a graph for it. :)
Step-by-step explanation:
Just ask!
Hope this helps. :))
Sorry if I'm wrong.
~Happy Holidays!!~ o(* ̄▽ ̄*)ブ
Andrew loses
31 pencils in
October
What is the
lose rate per
day?
Answer:
1
Step-by-step explanation:
there are 31 days in October so if he loses one each day he loses 31
perform the indicated operation 3 1/2 - 1 7/10
Answer: 1 4/5
Step-by-step explanation:
3 5/10 - 1 7/10 = 1 8/10
1 8/10 = 1 4/5
Sarah has 42 quarters and dimes in her piggy bank which totals $8.25. How many quarters and dimes does she have
Please use the graph below and not some other graph. A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
Answer:
see attached
Step-by-step explanation:
The graph starts at 5000 gallons on the vertical axis, and increases at the rate of 1250 gallons per hour, or 5000 gallons per 4 hours until 20,000 gallons is reached after 12 hours.
__
Additional comment
We don't have access to your segment tool, so you will have to copy the graph.
5x – 2y = 30
Complete the missing value in the solution to the equation. (8, ?)
Answer:
5
Step-by-step explanation:
Hope this helps
Answer:
(8,5)
Step-by-step explanation:
x=8
5*8-2y=30
40-2y=30 . subtract 40 from both sides
-2y=-10 . divide both sides by-2
y=5
Please help!! markup and markdown word problems.
1. Kathy buys a bicycle after a 30% markdown. The original price was $490.00. What did she pay?
2. Emily buys a toaster during the sale for 10% off. If Ellen pays &36, what was the original price?
Answer:
1) $343
2) $40
Step-by-step explanation:
1) Kathy paid (100 - 30)% of 490
so we can multiply 490 by 70%
490 x .7 = 343
2) let 'x' = original price
if she's saving 10% (or .10) then she's paying 90% (or .90)
.9x = 36
x = 36/.9
x = 40
Find the residual values, and use the graphing calculator tool to make a residual plot. A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries negative 2. 7, negative 0. 9, 1. 1, 3. 2, 5. 4. The third column is labeled predicted with entries negative 2. 84, negative 0. 81, 1. 22, 3. 25, 5. 28. The fourth column is labeled residual value with all entries blank. Does the residual plot show that the line of best fit is appropriate for the data? No, the points are in a curved pattern. No, the points are evenly distributed about the x-axis. Yes, the points are in a linear pattern. Yes, the points have no pattern.
The residual of a regression is the difference between the actual value and the predicted value
The true statement about the residual plot is (c) Yes, the points are in a linear pattern
The entries are given as:
x Given Predicted Residual
1 -2.7 -2.84
2 -0.9 -0.81
3 1.1 1.22
4 3.2 3.25
5 5.4 5.28
The residual of a line of best fit is calculated using:
[tex]Residual = Actual - Predicted[/tex]
Using the entry headings, the formula would be:
[tex]Residual = Given - Predicted[/tex]
So, the residuals of the 5 entries are:
[tex]Residual_1 = -2.7 - -2.84 =0.14[/tex]
[tex]Residual_2 = -0.9 - -0.81 =-0.09[/tex]
[tex]Residual_3 = 1.1 - 1.22 =-0.12[/tex]
[tex]Residual_4 = 3.2 - 3.25 =-0.05[/tex]
[tex]Residual_4 = 5.4 - 5.28 =0.12[/tex]
So, the entries become:
x Given Predicted Residual
1 -2.7 -2.84 0.14
2 -0.9 -0.81 -0.09
3 1.1 1.22 -0.12
4 3.2 3.25 -0.05
5 5.4 5.28 0.12
See attachment for the residual plot.
From the plot, we can see that the points are in a linear pattern.
Hence, the true statement about the residual plot is (c)
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Help!!
What is the value of -2 xy if x = -1 and y = 6?
-12
12
8
26
Answer:
12
Step-by-step explanation:
-2xy
Let x = -1 and y =6
-2 ( -1) (6)
Multiply
2 (6)
12
what are all the roots of the function f(x)= x^3+3x^2-x-3
Answer:
\mathrm{Domain\:of\:}\:x^3+3x^2-x-3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}
Step-by-step explanation:
119/30
Simplified please help this is urgent
1. Construct the Isosceles triangle from given data below : Altitude = 55mm Perimeter = 135mm
Answer:
base: 22 37/54; sides: 56 17/108
Step-by-step explanation:
If we let x represent half the length of the base, and y represent the length of the side, then we have ...
2x +2y = 135 . . . . . perimeter relation
x^2 +55^2 = y^2 . . . . Pythagorean theorem relation
Solving for y and substituting into the second equation, we have ...
y = 135/2 -x
x^2 + 3025 = (67.5 -x)^2
3025 = -135x +4556.25 . . . . . . expand, subtract x^2
135x = 1531.25 . . . . . . . . . . add 135x -3025
x = 1531.25/135 = 11 37/108
The length of the base is double this value, 22 37/54.
The length of each side is 67.5 -11 37/108 = 56 17/108.
__
Check
The perimeter is the base plus two side lengths:
22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.
What value of t makes the equation true?
tx3 = 12 x 6
Answer: 24
Step-by-step explanation:
tx3 = 12 x 6
3t = 12*6
3t = 72
t = 24
PLS ANSWER URGENT
1. Larry writes a list of numbers that has average 14, median 21 and mode 11
(a) Moe creates a list by adding 12 to each number in Larry’s list. What is the average, median and mode of Moe’s list?
(b) Curly creates a list by multiplying each number in Larry’s list by 2, what are the average, median and mode of Curly’s list?
Answer:
See step-by-step below!
Step-by-step explanation:
a) Moe's list:
Average=26
Median=33
Mode= 23
b) Curly's list
Average= 28
Median= 42
Mode= 22
i need help as u can tell all the erasing
Answer:
x=10
Step-by-step explanation:
We know that the values will be the same because of a geometry rule (i don't remember which one sorry) so we can rewrite the equation as
6x=5x+10 Then, subtract 5x from both sides
x=10
I'm assuming this is what the question is asking
5c−4c+c equavilent like terms
Answer:
yes they are like terms
Step-by-step explanation:
they are like terms as the variables are same 5c-4c+
Hello there!
Solve by Combining Like Terms:[tex]5c-4c+c[/tex][tex]5c-3c[/tex][tex]2c[/tex]Therefore, 2c is the answer.Hope it helps.
Good luck with your studies.
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~A lonely teen who helps people joyfully
Grace
What is the value of y? 2 R C A. 60° B. 120° C. 369 D. Cannot be determined
Answer:
60 degrees
Step-by-step explanation:
edge
En un barrio de 3.120 habitantes, se realizó una encuesta a 620 sobre la preferencia
por comer huevo al desayuno todos los días, contestando que, si le gusta 18 personas,
probablemente en el barrio, ¿cuántas personas prefieren lo mismo?
Es probable que el número de personas a las que si les gusta comer huevo al desayuno todos los días sea 90 personas.
Según principios estadísticos, es posible determinar una tendencia general utilizando una muestra de la población. En otras palabras, es posible tener una idea aproximada de las preferencias de una población si se logran determinar las preferencias de un pequeño grupo de dicha población.
En este caso sabemos que la población total equivale a 3120 habitantes, la muestra equivale a 620 personas y en la muestra 18 personas comen huevo al desayuno todos los días.
Usando una regla de tres podemos determinar la tendencia general:
Si a 18 personas de 620 les gusta comer huevo todos los días al desayuno, a cuántas personas de 3120 les gusta lo mismo.18 = 620x = 3120x = 18 x 3120 / 620x = 56160 / 620x= 90Es decir que aproximadamente 90 personas tienen esta misma preferencia.
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(6p+5)×5-6p) expansion using special algebraic identit
Hehehehehsheh help pls need help asap
Answer:
c
Step-by-step explanation:
hope this helps
Each figure shows a pair of similar triangles, one contained in the other.
For each pair, describe a point and a scale factor to use for a dilation
moving the larger triangle to the smaller one. Use a measurement tool
to find the scale factor.
Dilation involves enlarging or reducing the size of a shape.
The scale factor of dilation is 1/6
From the complete question, the side lengths of corresponding sides of both triangles are:
[tex]AC =18cm[/tex]
[tex]AC' =3cm[/tex]
This means that, the larger triangle is ABC, while the smaller triangle is AB'C'.
So, the scale factor of dilation from the larger triangle to the smaller triangle is:
[tex]k = \frac{AC'}{AC}[/tex]
This gives
[tex]k = \frac{3cm}{18cm}[/tex]
Remove the common units
[tex]k = \frac{3}{18}[/tex]
Reduce fraction
[tex]k = \frac 16[/tex]
Hence, the scale factor of dilation is 1/6
Read more about dilation at:
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The sum of triple a number and twice another number is 4. The first number increased by the second number is 3. Find the two numbers. Show your work.
Round each amount to the nearest hundred to find an estimate of:
9635 – 4891
A. 4400
B. 4500
C. 4600
D. 4700
21.6% of all registered doctors were female, if there were 45,200 females registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number
Answer:
209259
Step-by-step explanation:
45200 / 21.6 = 209259.259259
209259.259259 rounded to nearest whole number = 209259
i really need help with these two questions pleeeaassseeee
Answer:
10 is B
11 is D
Step-by-step explanation:
what is the slope of a line with points (0,3) and (5,18)
Answer:
bye
Step-by-step explanation:
Using the picture below, which angle is alternate exterior to angle 2?
Answer:
alternate exterior means outside of the two parallel lines so your answer is 7 because alternate means other side of transversal
please ignore the work below it!! i am pretty sure it’s wrong!!
3x+4y=12 find x-intercept and y- intercept
Answer:
x-intercept(s): ( 4 , 0 )
y-intercept(s): ( 0 , 3 )
x = 4
y = 3
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): ( 4 , 0 )
y-intercept(s): ( 0 , 3 )
slope = -0.750
PLEASE, LAST POINTS! ( GIVING BRAINLIEST) TO GET BRAINLIEST ANSWER 6 and 8 PLEASE. LAST 10 POINTS!
Answer:
6; 6⁒2
10; 10⁒2
0; 3(0)+3
1; 3(1)+3
2; 3(2)+3
3; 3(3)+3
4; 3(4)+3
Step-by-step explanation:
each line is in order.
Answer:
6. inputs: 2, 6, 10
8. inputs: 0, 1, 2, 3, 4
Step-by-step explanation:
Use your knowledge of arithmetic facts.
6.x = 2, 2÷2 = 1
x = 6, 6÷2 = 3
x = 10, 10÷2 = 5
__
8.x = 0, 3×0 +3 = 3
x = 1, 3×1 +3 = 6
x = 2, 3×2 +3 = 9
x = 3, 3×3 +3 = 12
x = 4, 3×4 +3 = 15