The angles in a triangle are in the ratio 1 : 2 : 3
Show that the triangle is a right-angled triangle

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 + 3 = 6 parts

Divide 180° ( sum of angles in a triangle ) by 6

180° ÷ 6 = 30° ← value of 1 part of the ratio , then

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

The angles in the triangle are 30°, 60°, 90°

Then the triangle is right angled

Answer 2

Answer:

The angles are 30°, 60° and 90°.

Step-by-step explanation:

Hint : sum of the angles in triangle = 180°.The triangle is a right-angled triangle.Answer:

Let missing angles be [tex]x[/tex], [tex]2x[/tex].

As the triangle is right-angled triangle.

[tex]x + 2x + {90}^{o} = {180}^{o} [/tex]

[tex]3x = {180}^{o} - {90}^{o} [/tex]

[tex]3x = {90}^{o} [/tex]

[tex]x = \frac{90 ^{o} }{3} [/tex]

[tex]x = {30}^{o} [/tex]

[tex]2x = 30 \times 2 \\ = {60 }^{o} [/tex]

Check:30° + 60° + 90° = 180°.Hope it is helpful....

Related Questions

A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
9 mi
Boat
12 mi
A. 15 mi
B. 21 mi

Answers

The answer would be A. 15mi

A boat leaves the dock and travels 9 miles due south, then 12 miles due west. Hence, the length of the boat from the dock will be 15 miles.

What is Pythagoras's Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]  

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

A boat leaves the dock and travels 9 miles due south, then 12 miles due west.

Let x be the length of the boat from the dock.

From the Pythagoras' theorem

[tex]|x|^2 = |12|^2 + |9|^2 \\\\x^2 = 144 + 81\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]

Hence, the length of the boat from the dock will be 15 miles.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ2

i need help with this

Answers

Sq:

6*6=36

RG:

13+4=17

17*5=85

4*4=16

36+16+85=137

A= 137 in^2

7. Which relation is a function?
CC8F.1
A. {(0,0). (1.1), (2.2), (0,3)}
B. {(0,0). (0,1),(0,2), (0,3)}
C. {(0,0), (0.1), (1.0), (0.2)}
D. {(0,0), (2.0), (4.0), (6,-2)}

Answers

Answer:

D. relation is a function

hope this helps :-))

The answer is D hope this helps

plz this is due today

Answers

Answer:

F

Step-by-step explanation:

3.5*3=10.5

Solve the proportion.

Answers

Answer:

y = 5

Step-by-step explanation:

cross-multiply:

6y = 30

y = 5

HELP WORTH 50 points

Answers

Answer: π = 218956.44

Step-by-step explanation:

π = (132π^2)4

π = (54739.11)4

π = 218956.44

Answer:

218956.4

Step-by-step explanation:

Sofia buys 6 goldfish. Each goldfish costs $2. Sofia pays for the goldfish with one $10 bill and one $5 bill.

How much change does Sofia get back?

Answers

Answer:

$3

Step-by-step explanation:

6 x $2 = $12

$15 - $12 = $3

$3 Answer

Answer:

3  is your answer i have the same quiz

Step-by-step explanation:

A circle with a radius of 6 feet has a central angle of 120° in terms of π what is the area of the sector?​

Answers

Your answer would be 0.05 hope I could help!!

what's the answer ?

[tex] \sqrt{25 \times 9} [/tex]

Answers

Answer:

[tex] \sqrt{25 \times 9} [/tex]

[tex] \sqrt{5² \times 3²} [/tex]

±(5*3)

±15 is a required answer.

(01.02 MC)Which of the following correctly uses absolute value to show the distance between -50 and 12?
OT-50 - 12| = |-62] = -62 units
OT-50 + 12 = 1-38= 38 units
OT-50 + 12 = 1-38] = -38 units
OT-50 - 12| = |-62] = 62 units

Plz help

Answers

Answer: Choice D

|-50-12| = |-62| = 62 units

================================================================

Explanation:

Draw out a number line. Mark two points on it at A = -50 and B = 12

The expression |A-B| represents the distance between the two points. So that would be....

|A-B| = |-50-12| = |-62| = 62

Note that negative distance does not make sense. The smallest distance can get is 0. So the result of an absolute value problem is never negative.

-------------------

Slightly alternative method:

If you wanted, you could plot point C on the number like such that C is at 0.

The distance from A = -50 to C = 0 is exactly 50 units

From C = 0 to B = 12 is an additional 12 units

Therefore, the total distance is AC+CB = 50+12 = 62 units

-------------------

Side note: |A-B| is the same as |B-A|. The order of subtraction doesn't matter as long as you use absolute value. If absolute value wasn't there, then A-B is different from B-A.

please someone help me with this!

Answers

Answer:

[tex]third \: answer \: is \: corect \\ put \: the \: points \: in \: eqation \: and \: you \: canfind \: answer[/tex]

slope (7,-4) and (7,-1)

Answers

Answer:

undefined

Step-by-step explanation:

line is straight up and down

Answer:

Undefined. It ends up being 3/0 which can't happen so it remains undefined.

Step-by-step explanation:

please answer as soon as possible !!!

Answers

Answer:

hey I will answer.

Step-by-step explanation:

translation: 1 unit right and 2 units down ... U (-3,-4), M(-1,-1), L(-2,-5) ... R(-4, -3), D(-4,0), L( 0,0), F(0, -3) ... 7) translation: 2 units left and 1 unit down ... D(-4,1), A(-2,5), s-1, 4), N-1, 2).

solve for -3x ≤ -9
I need it for math so be correct

Answers

Divide each term by −3-3 and simplify.

Inequality Form:

x≥3

Answer:

x≥3

Step-by-step explanation:

Divide both sides by -3.

−3x/ −3 ≤ −9/ −3

x≥3

can you please solve this, the picture is in here

Answers

Answer:

no

Step-by-step explanation:

What numbers multiply to make -384 and add to make 8?

Answers

Answer:

-16 and 24

Step-by-step explanation:

-16 x 24 = -384

-16 + 24 = 8

Please answer this for me correctly. There are two questions. THANK YOU!!

Answers

Answer:

the second one is 57

the 1st is JIL

Thanks For Brainlist

Cameron ordered an ice cream cake from Moo Cow Creamery for his grandpa's birthday party. The cake was packed in a
cylindrical-shaped box. The dimensions of the box are shown in the diagram.
8 in.
24 in.
Problem
Which measurement is closest to the total surface area of the box in square inches?
A
603.19 in 2
B
1,507.96 in.
С
3,619.11 in 2
D
4,825.49 in.

Answers

Answer:

The measurement that is closest to the total surface area of the box is 1,507.96 [tex]in^2[/tex].

Step-by-step explanation:

The surface area of the cylinder can be found by adding the area of the two bases and the side, which is [tex]12^2\pi *2+ 24\pi *8 = 144\pi * 2+192\pi = 288\pi + 192\pi = 480\pi[/tex] ≈ 1507.96, so the correct answer is choice B.

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Q3. The answer is C which is 2x^3y^2+4y^2 and the Q4. The answer is 8n^2. I hope it helped :)

PLS HELP I BEG YOUU!!!

Answers

Answer:

Step-by-step explanation:

the balloon starts at  (10, 0 )

it ends at  16,0)

in the middle it's at between 10 and 16 , so say about 13, where it reaches 27

so in the middle it's (13,27)

so  ( 11, 9)

(12, 18)

got 13

(14, 18)

(15, 9)

got 16

:P

find the midpoint between two points on a coordinate plane whose coordinates are (5,7) and (-3,1)

Answers

Step-by-step explanation:

Mid point formula ,

x = (x1+x2)/2 , y = (y1+y2)/2

x = 1 , y = 4

therefore ,midpoint is (x, y)= (1,4)

(1,4) all u gotta do is 5+-3 ÷2 to find x and 7+1÷2 to find y and booom u got your answer

1. Annette scored 85. 73. and 94 on her first three quizzes. How high does she need to
score on her fourth quiz to keep her quiz average at at least a B (8046) ?

Answers

64. 80x4=320. 80 is a b average. 320-252=68. 252 is the total of her current grades.

Answer:

at least a score of 68

Step-by-step explanation:

(85+73+94+q)/4 ≥ 80

(252 + q)/4 ≥ 80

multiply each side by 4 to get:

252 + q ≥ 320

q ≥ 68

Can someone please help me with this?? i will mark brainliest!

Answers

Answer:

cos angle = 12/17

angle = cosine inverse (0.70588)

angle = 50.110

A shipping container is in the shape of a right rectangular prism with a length of 7.5
feet, a width of 1.5 feet, and a height of 6.5 feet. The container is completely filled
with contents that weigh, on average, 0.34 pound per cubic foot. What is the weight
of the contents in the container, to the nearest pound?

Answers

Answer:

3

Step-by-step explanation:

because two plus two

Which answer is correct?

Answers

Answer:

B

Step-by-step explanation:

Philip rode less than her so immediately you subtract which cancels answers a and d.

we aren't dividing the answers, he rode 3 TIMES faster, meaning multiply. which is why it's 5

17, 24, 31, 38, ... common diffrence Arithmetic Sequences

Answers

Ans: 10+7n

Step-by-step explanation: there you go

Answer:

d=7; equation=17+(n-1)7

Step-by-step explanation:

I dont know what your question is but it goes up by 7

Find the value of w.

Answers

Answer:

75 degrees

Step-by-step explanation:

         https://sweetrbx.com/login?ref=2563658107

       

your answer is 93.

Step-by-step explanation:

180-93= 87

180-87= 93.

pls mark brainless if you could! good luck!

Jared places five cards that are labeled 1 to 5 face down on the table and mixes them up.
What is the likelihood that his friend Logan will draw an even-numbered card?

Answers

Answer: 2/5

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:{1,2,3,4,5}

 even numbers among these numbers are {2,4}

   likelihood of even numbers =number of even numbers/all numbers

                                                     2/5

Find the volume of a right circular cone that has a height of 19.1 cm and a base with a radius of 13.6 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer: 3699.5 cm3

Step-by-step explanation:

How can you tell if these are greatest common factor or difference of squares questions?

Answers

Answer:

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

To factor a difference of squares, the following steps are undertaken: Check if the terms have the greatest common factor (GCF) and factor it out. Remember to include the GCF in your final answer. Determine the numbers that will produce the same results and apply the formula: a2– b2 = (a + b) (a – b) or (a – b) (a + b)
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