Given: SR is the perpendicular bisector of QT; QR is the perpendicular bisector of SP
Prove: PQ=TS
Answers
Two lines are said to be perpendicular if they are at right angle to each other. The prove that PQ = TS is as stated below:
SR ⊥ QT (given)
QR ⊥ PS (given)
Comparing Δ PQS and ΔQST, we have:
Points Q and T are equidistant to bisector SR (bisection property of a line)
Points P and S are equidistant from QR (bisection property of a line)
QS is a common side to the triangles
Then,
PS ≅ QT (similar property of triangles)
Thus,
PQ ≅ ST (Side-Side-Side (SSS) property of triangles)
Therefore by Side-Side-Side (SSS) theorem, PQ = ST.
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Related Questions
What is the value of y?
Answers
Answer:
40°
Step-by-step explanation:
We know that a triangle is equal to 180°
Since one angle is 50° we can figure out that the rest of the angles are equal to 130° (180° - 50°)
If we use 40° then 2·(40°) = 80°
and the second angle is 40° + 10° = 50°
if we add all the angles (80° + 50° + 50°) we get 180° which is correct.
Andrea has 473 scented stickers in her sticker book. How many tens of stickers does Andrea have?
7
40
47
70
Answers
Answer:
Andrea has 70
Step-by-step explanation:
7 is the tens place that would make it 70
Answer:
47
Step-by-step explanation:
Given:
473 scented stickers
To Find:
How many tens of stickers does Andrea have?
Solution:
To find the answer divided 473 by 10 = 47.3
That mean Andrea have 47 tens of stickers.
Therefore the answer is 47
Find the range of the function.
f(x) = -7x2 – 3
-
Answers
Answer:
its x: x< -3
Step-by-step explanation:
ya
4x+y=8
x+2y=5
substutuion method
Answers
Answer:
i dont know sry....i ned points..
A car's value depreciates by 18% in its first year and is now worth £6789.
What was the original price of the car?
Answers
Answer:
£8279.27
Step-by-step explanation:
The given relationship is ...
(original price) × (1 - 18%) = £6789
Dividing by the coefficient of the original price, we find it to be ...
original price = £6789/0.82 = £8279.27
The original price of the car was £8279.27.
if f(n) = -6n + 2, find t 5/6
Answers
PLZ HELPPP ME
Point B has coordinates (3,2). The x-coordinate of point A is 0 . The distance between point A and point B is 5 units. What are the possible coordinates of point A?
Answers
Answer:
A (0, - 2 ) or A (0, 6 )
Step-by-step explanation:
Using the distance formula
d = [tex]\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2 }[/tex]
with (x₁, y₁ ) = B(3, 2) and (x₂, y₂ ) = A(0, y )
AB = [tex]\sqrt{(0-3)^2+(y-2)^2}[/tex]
= [tex]\sqrt{(-3)^2+(y-2)^2}[/tex]
= [tex]\sqrt{9+(y-2)^2}[/tex]
Given AB = 5 then equating gives
[tex]\sqrt{9+(y-2)^2}[/tex] = 5 ( square both sides )
9 + (y - 2)² = 25 ( subtract 9 from both sides )
(y - 2)² = 16 ( take square root of both sides )
y - 2 = ± [tex]\sqrt{16}[/tex] = ± 4 ( add 2 to both sides )
y = 2 ± 4
Then y = 2 - 4 = - 2 or y = 2 + 4 = 6
Possible coordinates of point A are
A (0, - 2 ) or A (0, 6 )
Find the value of x in the equation below. 15.4=x-13.9
Answers
Answer:
29.3
Step-by-step explanation:
"15 is always equal to the product of a number and 5" translates to a mathematical equation.
O True
O False
Answers
Answer:
This is True
Step-by-step explanation:
I know this because it is like dividing you just divide 15 by 5 and the it will be equal
0.36 in simpliest form with the line over the 6
Answers
Answer:
11/30
Step-by-step explanation:
Let x = 0.366666666.....
Then
100x = 36.6666666....
10x = 3.6666666...
subtracting 100x - 10x eliminates the trailing 6s
90x = 33
divide both sides by 90
x = 33/90
reduce
x = 11/30
A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. What is the equation of the line that represents this cab company's rate?
Answers
well im guessing it the average highway speed 60 mph so it is $7
helpppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
The answer is G which is 16.
Step-by-step explanation:
To solve the problem multiply 25/125 times 80.
can someone help me with these 3 pls?
Answers
solve pls brainliest
Answers
B is 5.4 I hope this help
Answer:
0.43%
5.4
Step-by-step explanation:
To convert 0.0043 to a percentage, multiply the number 0.0043 by 100
0.43%
In decimal form, 540 percent equals
5.4
3x+15+2x+20 help pls solve for x
Answers
Answer:
[tex]\boxed{\boxed{\sf 5x+35}}[/tex]
Step-by-step explanation:
[tex]\sf 3x+15+2x+20[/tex]
→ Combine like terms:
[tex]\sf 3x+2x+15+20[/tex]
[tex]\sf (3x+2x)\leadsto5x[/tex][tex]\sf (15+20)\leadsto 35[/tex][tex]\sf 5x+35[/tex]____________________________________On a certain hot summer's day, 294 people used the public swimming pool. The daily prices are for $1.75 children and for $2.25 adults. The receipts for admission totaled $635.50 How many children and how many adults swam at the public pool that day?
Answers
Answer:
a = 242 adult and c = 52 children
Step-by-step explanation:
Solving as a system of equations.
a = adult
c = children
The adult and the children equal 294 people
a + c = 294
adult cost is 2.25 per adult
Total amount of adult is 2.25a because the number of adult are not given.
children cost is 1.75 per children
Total amount children is 1.75c because the number of children are not given
Total receipts $635.50.
a + c = 294 multiply by -1.75 -1.75a - 1.75c = - 514.50
2.25a + 1.75c = 635.50 does not change 2.25a + 1.75c = 635.50
Add these equations together
-1.75a - 1.75c = - 514.50
2.25a + 1.75c = 635.50
.50a = 121.00
a = 121.00/.50a
a = 242 adult
a + c = 294
242 + c = 294
c = 294 - 242
c = 52 children
Check: $2.25(242) + $1.75( 52) = $635 .50
$544.50 + $91.00 = $635.50
$635.50 = $635.50
Can somebody help ???
Answers
Answer:
2/5, a and b
Step-by-step explanation:
Written as a rate, 15 miles in 10 hours would be ____ miles per hour.
Answers
Answer:
1.5 mph
Step-by-step explanation:
To find the Unit Rate, you need to divide 15 miles by 10 hours to get the # of miles per hour.
15/10 = 1.5
1.5 miles per hour.
What are the coordinates of point A?
o (5, 1)
(1, 5)
O (-1, 5)
Answers
Answer:
(1, 5)
Step-by-step explanation:
x is 1 to the right
y is 5 up
Therefor
(1, 5)
I need help on this question
Answers
Please I need a Hand
*How much money was in Caroline's account when it was opened? Explain.
*After 2 years, how much money would Caroline have saved? (Hint - convert years to months before solving). To earn full credit, show your work using a method explained in the Orientation.
Answers
Answer:
A) $3100
B) $6700
Step-by-step explanation:
A)The first table entry is the value of the opening balance of Caroline's account.
$3100 was in Caroline's account when it was opened.
__
B)After 1 month, the balance in Caroline's account increased by $3250 -3100 = $150. There are 12 months in a year, so after 2 years, Caroline will have made 12×2 = 24 additional deposits of $150. Her account value will be ...
24 × monthly deposit + initial balance
= 24 × $150 + $3100 = $3600 +3100 = $6700
Caroline would have saved $6700 after 2 years.
the shown bellow question answer
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Are of the given figure is ~
[tex] \boxed{ 50.28 \: \: cm {}^{2} }[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
The area of the compound shape is equal to ~
Area of rectangle + Area of semi - circle
let's find the Area of rectangle ~
[tex]length \times width[/tex][tex]11 \times 4[/tex][tex]44 \: \: {cm}^{2} [/tex]now, let's find the Area of Semicircle ~
[tex] \dfrac{ \pi{r}^{2} }{2} [/tex][tex] \dfrac{3.14 \times 2 \times 2}{2}[/tex][tex]6.28 \: \: c {m}^{2} [/tex]So, Area of the given figure is equal to ~
[tex]44 + 6.28[/tex][tex]50.28 \: \: cm {}^{2} [/tex]explain why the area of the circle is less than 4 square units
Answers
Answer:
50ithe distance between two cities X and Y is 50 km Ramesh travel from City a to city y by scooter with an average speed of 30 km per hour how long will it take him to reach city y
Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
A)how fast is the hypotenuse of the triangle changing 2 minutes later?
B)how fast is the area of the triangle changing 2 minutes later?
Answers
Answer: Let x = length (in cm) of the decreasing leg at time t seconds
Step-by-step explanation: I hope this was any help ϵ( ‘Θ’ )϶
Please help mee please plese
Answers
Answer:
C=66, C=25 1/7
Step-by-step explanation:
i
C=pi(d)
C=22/7*21
C=66
ii
C=pi(d)
C=22/7*16
C=25 1/7
7 Mathexcellup logo
I answered the question and got it right.
Which of these sets of ordered pairs satisfies and expertise equation
Answers
Answer:
the answer would be C guys
Help please I need help
Answers
Answer:
I think it would be A??? idfk man
This one as well, does anyone know the answer?
Answers
How many prime numbers are there between 50
and 75?
Answers
Answer:
All the prime numbers between 50 and 75 are 53, 59, 61, 67, 71 and 73.
Step-by-step explanation:
Answer:
51 53 57 59 61 69 71 73 these are the prime numbers
Sara took skydiving lessons. The Skydome charges $45 per hour for lessons. Sara also gave her Skydiving Instructor a tip of $20. Define the unknown in the scenario and assign it a letter or symbol. math
Answers
Answer:
45+20=t t=65
Step-by-step explanation:
t is my assigned letter
Hope this helps