Given: SR is the perpendicular bisector of QT; QR is the perpendicular bisector of SP
Prove: PQ=TS

Given: SR Is The Perpendicular Bisector Of QT; QR Is The Perpendicular Bisector Of SPProve: PQ=TS

Answers

Answer 1

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

Which is bigger 12 cm or 102 mm

Answers

12 CM!!!!!!!!!!!!!!!!!!!!

On comparing the quantities 12 cm or 102 mm, 12 cm (120 mm) is greater than 102 mm.

To compare the sizes of 12 cm and 102 mm, both numbers should have the same unit.

Now, the conversion factor cm and mm is

1 cm = 10 mm

Then, using the conversion factor convert 12 cm to mm

12 cm = 12 x 10 mm

         = 120 mm

Now, compare 120 mm and 102 mm which gives 120 mm is greater.

Thus, 12 cm is greater than 102 mm.

Learn more about Unit Conversion here:

https://brainly.com/question/28600662

#SPJ4

Choose the steeper line,


y=2x+8
or

y=4x+2

Answers

Hello!

y=4x+2 is the steeper line. The bigger the slope, the steeper the line.

Hope it helps!

~Just a cheerful gal

#CarryOnLearning

Answered by

[tex]SilentNature[/tex]

the length of a cuboid is 3 times of it's height and it's breadth is 2 times it's height if the volume of the cuboid is 48000cm cube, calculate it's dimensions​

Answers

Answer:

The length, breadth and height of cuboid are 60 cm, 40 cm and 20 cm.

Step-by-step explanation:

Let,

The height of cuboid be X cm.The length of cuboid is three times of it's height. So, it will be 3x.The breadth of cuboid is two times of it's height. So, it will be 2x.

Now, substuting all the given values in the formula to find the value of x.

[tex]\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}[/tex]

➝ V = Volume ➝ l = length ➝ b = breadth➝ h = height

[tex]\begin{gathered} \qquad\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2x \times x}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2{x}^{2}}}\\\\\qquad\longrightarrow{\sf{48000 = 6{x}^{3}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = \dfrac{48000}{6}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = 8000}}\\\\\qquad\longrightarrow{\sf{x = \sqrt[3]{8000}}}\\\\\qquad\longrightarrow{\sf{x = 20}}\\\\ \qquad{\star{\underline{\boxed{\sf{\purple{x = 20}}}}}} \end{gathered}[/tex]

Hence, the value of x is 20.

Now, we know the value of x. So, calculating the dimensions of cuboid :

Length = 3x

➝ 3 × 20➝ 60 cm

Breadth = 2x

➝ 2 × 20➝ 40 cm

Height = x

➝ 1 × 20➝ 20 cm

[tex]\rule{300}{2.5}[/tex]

ab+4a-3b-12 = (b+4)(_____)

Answers

ab+4a-3b-12 = (b+4)(a-3)

ayuda con esto por favor

Answers

Answers:

[tex] \sqrt[5]{ \frac{3}{8} - \frac{11}{32} } \\ = \sqrt[5]{ \frac{12 - 11}{32} } \\ = \sqrt[5]{ \frac{1}{32} } \\ = \sqrt[5]{ \frac{ {1}^{5} }{ {2}^{5} } } \\ = \sqrt[5]{( \frac{1}{2} {)}^{5} } \\ = \frac{1}{2} [/tex]

[tex] \sqrt[3]{ \frac{1}{4} + \frac{5}{108} } \\ = \sqrt[3]{ \frac{27 + 5}{108} } \\ = \sqrt[3]{ \frac{32}{108} } \\ = \sqrt[3]{ \frac{8}{27} } \\ = \sqrt[3]{ \frac{ {2}^{3} }{ {3}^{3} } } \\ = \sqrt[3]{( \frac{2}{3} {)}^{3} } \\ = \frac{2}{3} [/tex]

[tex](1 - \frac{1}{10} ) ^{3} \\ = ( \frac{10 - 1}{10} ) ^{3} \\ = (\frac{9}{10} {)}^{3} \\ = \frac{ {9}^{3} }{ {10}^{3} } \\ = \frac{729}{1000} [/tex]

Hope it helps.

Do comment if you have any query.

Mahmoud uses 3 cups of apple juice for every 4 cups of cranberry juice
.
to make a fruit drink.
a
How many cups of apple juice does Mahmoud use for 21 cups of the
combined fruit drink?

Answers

Answer:

9 cups of apple juice

Step-by-step explanation:

pls help me with this

Answers

Answer:

6mm

Step-by-step explanation:

Drake is an online sales representitve who makes $37,500 per year plus 6.75 for each fee sales he makes. if drake makes an avarage of 200 sales per month what are his annaual earnings?

Answers

Answer:

no hes not hes a rapper..........Jk the answer is 53700

Step-by-step explanation:

Step-by-step explanation:

1,350 a month

16,200 a year

The inequality −3 < x is equivalent to the inequality x > −3.

Answers

The correct answer is 2086.56

how far does the object go
2 hours at 75km\h

Answers

Answer:

150 miles per hour

Step-by-step explanation:

Objective: finding the distance

Formula: speed × time =  distance

75 × 2 = 150

final answer: 150 mph

14) In triangle ABC angle A measures 68 degrees and angle B measures 72 degrees. If the measure of
angle C is (x+ 10) degrees. What is the value of X?

Answers

Answer:

x= 30°

Step-by-step explanation:

plzz plzz plzz mark as brainliest

Answer:

30°

Step-by-step explanation:

68 + 72 + x + 10 = 180

x + 150 = 180

x + 150 -150 = 180 -150

x = 30

round 4,204 to the nearest hundred​

Answers

Answer:

4200

hope helpful <3 !!!!!!!!!!!!!

What would the slope of a line perpendicular to y=-4x+5 equal?

Answers

Answer:

Using the slope-intercept form, the slope is 4 4 .

Answer: Using the slope-intercept form, the slope is 4 4 .

Explanation: so your answer is 4 4.

Please help asap and please no links or answering just for points!! I’m already stressed :(

Answers

Answer:

let the number be x

wo a/q we have,

4x + 5 = 7

hope this answer helps you dear! take care

help asap please needed

Answers

Answer:

it should be b

Step-by-step explanation:

if wrog please correct me also can u give me brainlist

Answer:

B

Step-by-step explanation:

63 should be your answer

Would appreciate Brainliest

what number is 5 times greater then 6

Answers

Answer:

if you are talking about 5x6 then the answer would be 30 but if not please clarify :)

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

6x5=30 so I believe the answer to your question to be 30

What is slope ? Help me please

Answers

Answer:

Step-by-step explanation:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x). there you go.

Find the perimeter.Simplify your answer.

Answers

Answer:

20c+14

Step-by-step explanation:

To find the perimeter we have to add up all the sides

4c+6c+7+4c+6c+7

Combine light terms

20c+14

Answer:

Well your not given C so we just leave that be and we can just add up all 4 sides since perimeter means outside length total. Now when added up,

6c+7+6c+7+4c+4c= 20c+14

20c+14 is the perimeter

if pepsi Bottles 8-pack or cans 12-pack 3 for $12.88 how much for 1 pack?

explain

Answers

Answer: $4.29?

Step-by-step explanation:

3 pack /3 = $12.88 /3

1 pack = 4 22/75 or approx $4.29

Evaluate the expression for b= 12

Answers

Answer:

-5

Step-by-step explanation:

substitute -b for -12 and add 7

What is the length of segment AB?

A-5
B-6
C-8
D-10

Answers

D-10 I think or it could be b

Choose the steeper line.
y=1/2x-3
or
y=1/4x -8

Answers

Hello!

y=1/2x-3 is steeper than y=1/4x-8.

We calculate the slope using Rise/Run.

The rise is 1, and the run is 2 (how many units we move left of right)

If you graph these lines, you will see that the line y=1/2x-3 is steeper than y=1/4x-8

Hope this helps!

~Just a cheerful gal

Answered by

[tex]SilentNature[/tex]

Question 1 of 10
If f(x) = 4x - 12, what is f(2)?
A. -20
ОО O
B. 8
C. -4
O
D. 4

Answers

Answer:

C -4

Step-by-step explanation:

f(2)= 4(2) - 12

f(2) = -4

simplify the ratio 6 : 10 : 22​

Answers

Answer:

3:5:11

hope this helps u!!

Answer:

3    : 5   :   11​

Step-by-step explanation:

6 : 10 : 22​

Divide each term by 2

6/2 : 10/2 : 22/2

3    : 5   :   11​

What is the value of the expression m^4- 11 when m = 3? Use the number pad to enter your answer in the box.​

Answers

Answer:

70

Step-by-step explanation:

m^4 - 11

when m = 3

3^4 - 11

81 - 11

70

Help me pleaseeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

a).

perimeter=326 m

length l=89 m

width w=?

Perimeter of a rectangle=2(l+b)

2(89+w)=326

89+w=326/2=163

w=163-89=74 m

b).

area=4648 cm^2

width=56 cm

length=4648/56=83 cm

Is this right?

Pic below! :D

Answers

Answer:

I Don't Think So

But ask your parents or your older brother or sisters

That looks right about those questions you were asking me the last part where you got 1.50 is a little confusing could you explain maybe how you got that but the right answer is there

Will give brainly if correct

Answers

Hi,

1 mile ≈ 1,6 kilometers

a.

11,9 miles ≈ 11,9 * 1,6 = 19,04 kilometers

b.

46,2 miles ≈ 46,2 * 1,6 = 73,92 kilometers

c.

121 miles ≈ 121 * 1,6 = 193,6 kilometers.

→ * = multiplication

✅(. ❛ ᴗ ❛.)

chip and dip magazines ratio of men to women subscribers is 5 to 8 if they have 75000 women how many men

Answers

Answer:

46875

Step-by-step explanation:

Men  :Women = 5 : 8

Total parts = 5+8 = 13

Total number be x

[tex]\dfrac{8}{13}*x = 75000\\\\\\x =75000*\dfrac{13}{8}\\\\\\x = 121875[/tex]

Number of men = 121875 - 75000 = 46875

What is a^2 - 5b + the square root of c if
A= -3
B= 6
C= 16

Answers

Answer:

-21

Step-by-step explanation:

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