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

Answers

Answer 1

Answer:

Step-by-step explanation:

Remark

The angles can measure

x + 2x + 3x

The total must be 180 degrees because all triangles have 180 degrees

Equation

x + 2x + 3x = 180          Combine

6x = 180                        Divide by 6

6x/6 = 180/6

x = 30

1x = 30

2x = 60

3x = 3*30 = 90

A right angle triangle has 90 degrees.


Related Questions

Helpppp :( I need help on this

Answers

Answer:

x = -7

Step-by-step explanation:

Replace the x with -7 and add 4 to -7 to get -3. Then multiply by 7 to get -21.

Answer:

X = -7

Step-by-step explanation:

=> 7(x + 4)= -21

multiply all the terms in the bracket by 7

=> 7x + 28 = -21

make x the subject of formula

=> 7x = -21 -28

subtract the value

=> 7x = -49

divide both side by 7

=> x = (-49)/7

divide -49 by 7

=> x = -7

A bookstore had 45 copies of a magazine. Yesterday, it sold 2/3 of them. Today, it sold 2/5of what remained. How many copies does the bookstore have left?

Answers

Answer:

3 copies

Step-by-step explanation:

2/3 * 45 is 30

2/5 * 30 is 12

12+30= 42

45-42=3

I believe this is correct

Answer:

3

Step-by-step explanation:

If 2/3 of 45 were sold then what is left is 1 - 2/3 = 1/3 of 45 or (1/3)*45 = 15 copies.

Then 4/5 of 15 were sold and what is left is 1 - 4/5 = 1/5 of 15 or 3 copies.

Find the Surface Area of the cone.

(Round the answer to nearest tenth.)
( use π = 3.14 )

Thanksss!
~

Answers

Cone surface area:

πr(r + s)

= 3,14 × 3 × (3 + 7)

= 3,14 × 3 × 10

= 9,42 × 10

= 94,2

Nt: I from IDN

A company manufactures a rubber ball shaped like a sphere. The rubber ball has a radius of 4.5 centimeters.

Which measurement is closest to the volume of this rubber ball in cubic centimeters?

Answers

Answer:

The radius of a rubber ball, r = 4.5 cm

We need to find the volume of this rubber ball.

The formula for the volume of a sphere is given by :

V=\dfrac{4}{3}\pi r^3V=34πr3

Put r = 4.5 cm in the above formula

\begin{gathered}V=\dfrac{4}{3}\pi \times (4.5)^3\\\\V=381.70\ cm^3\\\\\text{or}\\\\V=382\ cm^3\end{gathered}V=34π×(4.5)3V=381.70 cm3orV=382 cm3

So, the volume of this sphere ball is 382\ cm^3382 cm3 .

Vanessa deposited money into a bank account that earned 1.25% simple interest each year. After 12 year, she had earned $5.00 in interest on the account. No other money was deposited into or withdrawn from the account.

How much was her initial deposit?

Answers

Answer: 800$ is the answer.

multiply to by both sides, remove 1/2.

Have a blessed day.

An oil is well produced 2356 barrels per day. How many barrels would it produce in april

Answers

Answer:

The oil would produce 70,680 barrels in April.

Step-by-step explanation:

There are 30 days in April.

2356 x 30 = 70,680

What is the area of the frame in square units around the picture?




Enter the expression in the box.

Answers

L*B= 12*6s= 72s
L*B=8*4s=32s
72s-32s=40s

Find the measures of the interior angles of the triangle. Find A, B,C

Answers

Answer:

Step-by-step explanation:

which expression is equivalent to √184 ?

a. 92 b. 2√46 c. 4√23 d. 4√46

Answers

Answer:

[tex]2\sqrt{46}[/tex]

Step-by-step explanation:

The factor of the 184 will be 2 × 2 × 46. Then the expression is equivalent to the expression 2√46, Then the correct option is B.

What is an equivalent?

The equivalent is the expression that are in different forms but are equal to the same value.

The given expression is √184.

Then the factor of the 184 will be

184 = 2 × 2 × 46

Then the square root of 184 will be

√184 = 2√46

More about the equivalent link is given below.

https://brainly.com/question/889935

An angle measures 56° more than the measure of its complementary angle. What is the measure of each angle?

° and °

Answers

Answer:

34 & 34

Step-by-step explanation:

What is the slope (3,6) (2,9)

Answers

Answer:

m = -3

Step-by-step explanation:

The angles below are supplementary. What is the value of x? (5 points)

Answers

Answer:

7x+33°+70°=180°

7x= 180°-103°

7x= 77°

x= 11°

..............

Need help ASAP PLEASE

Answers

Answer:

40 goodie bags

Step-by-step explanation:

We know that there are 1000 grams in a 1 kilogram. So the weight of the box with the party goody bags is 6200 grams. To get the weight of just the goody bags, we subtract the weight of the empty box from the box with the goody bags. We have 6200-200=6000 grams. So the weight of all the goody bags is 6000 grams. Since each goody bag is 150 grams, we divide 6000 by 150. So, 6000/150 = 40. Therefore there are 40 goodie bags.  

Can u please help me?

Answers

Step-by-step explanation:

I solved it by steps...

I hope you understand...

B x h = 0.6 x 3.6 = 2.16 L x w = 1.2 x 3 = 3.6 2.16 + 3.6= 5.76. $5.76 is your answer

Identify Center Of Dilation and Scale Factor
see image

Answers

Answer:

Step-by-step explanation:

A ( 2 , 6 ) ------> A' ( 0 , 2 )

B ( 5 , 3 ) ------> B' ( 1 , 1 )

Equation of the line AA' is y = 2x + 2

Equation of the line BB' is y = ( 1 / 2 ) x + 1 / 2

AA' ∩ BB' = ( - 1 , 0 )  <----- this point is a center of the dilation with the scale 1 / 3

D ( - 4 , - 3 ) -------> D' ( - 2 , - 1 )

C ( 2 , - 3 ) -------> C' ( 0 , - 1 )

Which situation could be represented by - 7?
O A. A jump to 7 inches above the ground
B. A depth of 7 feet below sea level
O c. A gain of 7 pounds
O D. A score increase of 7 points
Someone please help me with this wuestion

Answers

Answer:

B: A depth of 7 feet brlow sea level.

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

Answers

187.15 divided by 19 is 9.85.

9.85 x 40 = 394

Therefore she earns $394 if she worked 40 hours.

Answer: $394

The altitude of an equilateral triangle is 10√3. inches. What is the perimeter of the triangle?

Answers

The perimeter of the triangle = 60

help me pls
if the picture is blurry here is the words.

Find the value of n in the following equation.Fill in the blank with the correct number to complete the solution.

14.) 6×3 = n-4 6×3 = n-4
6×3__=n
18+4= n
__ = n

15.) n-16=36 n-16 = 36
n= 36+__
n= ___



i edited it so the pic wont be blurry

Answers

Answer:

[tex]6 \times 3 + 4 = n \\ 18 + 4 = n \\ 22 = n[/tex]

this is 14)

and 15)

n=36+16

n=52

Jessie saves $7 each Monday.
Find the correct answers to a table showing how much Jessie
saves each Monday
Week #
Amount
Saved
Week 1
Week 2
Week 3
Week 4

O 7. 14. 21.28
O 7. 14. 21. 27
O 7. 17. 27.37
O 1.7. 14.21

Answers

Answer:

7. 14. 21.28

Step-by-step explanation:

Multiply 7 four times


Suppose there is 6% sales tax. How much would you pay for bag of candy with a price tag
of $2.00?

Answers

The answer would be $2.12.

The equation for this problem would look like… 2 x 1.06.

On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.

A delivery driver is driving around town and has noticed that every time he turns, it creates an angle. What are the measures of Angles Y, and Z on the map?

Answers

Answer:

The answer of Y I belive its 75 degrees and Z is 105 degrees

Step-by-step explanation:

Because a triangle equals 180 so 180-75 gives you 105 for Z

im positive this is right im not sure correct me if im wrong

hope this helped

The measures of Angles Y, and Z on the map where, all numbered streets run parallel to each other is 75 and 105 degrees respectively.

What are angles formed by transverse?

Angles formed by the transverse line cut by the transversal-

Corresponding angle- Corresponding angle keeps the same position on two different parallel line when cut by transverse.Alternate interior angle- This angle made inside the parallel lines cut by the transversal.Alternate exterior angle- This angle made outside the parallel lines cut by the transversal.Supplementary angle- Angle which made on the same line. The sum of the supplementary angle is equal to the 180 degrees.

In the given map, all numbered streets run parallel to each other.  Here, both 3rd and 4th streets are intersected by King Avenue.

Here, the delivery driver is driving around town and has noticed that every time he turns, it creates an angle.

The angle y is the angle whose measure is 75 degree are the corresponding angle. Therefore, they must be equal as,

[tex]m\angle y=75^o[/tex]

Hence, the measure of angle y is 75 degrees.

The angle y angle z are the supplementary angle, made on the same line. Therefore,

[tex]m\angle y+m\angle z=180^o\\75+m\angle z=180\\m\angle z=180-75\\m\angle z=105[/tex]

Hence, the measures of Angles Y, and Z on the map where, all numbered streets run parallel to each other are 75 and 105 degrees respectively.

Learn more about angles formed by transverse line here;

https://brainly.com/question/13207832

The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0. 002 mm. Which function could represent this situation? f(x ) = x – |42. 67| f(x ) = |x| – 42. 67 f(x ) = |42. 67 – x| f(x ) = 42. 67 – |x|.

Answers

Using function theory, the function that could represent this situation is

f(x) =  |42. 67 – x| .

It is given that

The standard diameter of the golf ball = is 42.67

Allowable discrepancy = ±0.002

So upper limit of diameter = 42.672

The lower limit of diameter = 42.668

We need a function that can help in finding a discrepancy.

What is a function?

A function is a rule which determines the relation between two variables.

The correct function that could represent this situation will be

f(x ) = |42. 67 – x|

Where x is the diameter of the ball produced.

For example, if a ball of diameter 42.665 is produced

f(x) =  |42. 67 – x|

f(42.665) =  |42. 67 – 42.670| = 0.005 which is more than the permitted tolerance i.e 0.002.

So, one can easily decide whether to stop production or not.

Therefore, the function that could represent this situation is

f(x) =  |42. 67 – x| .

To get more about function visit:

https://brainly.com/question/25638609

help me pleaseeeeeeeeeeee

Answers

Answer:

51

.....

.....

.....

.....

....

 Write down the first three terms of the sequence described.
The first term is 7; the term-to-term rule is 'add 3

Answers

Answer:

7, 10, 13, 16

Step-by-step explanation:

Given,

Frist term=7

term-to-term rule is add 3

Therefore first three terms will be

7, 7+3=10, 10+3= 13, 13+3=16

a
The Stuart family has 5 members. They each
purchase a soda at $2.50 each and a hot dog at
$3.50 each. Use mental math to find the total cos
of the food. Justify your answer by using the
Distributive Property.

Answers

Answer:

5 (2.50 + 3.50)

The total cost is $30

$12.50 on soda and $17.50

The total cost of all the items for 5 members is $6.00 when the cost of soda is $2.50 and the cost of hot dog is $3.50.

Given that:

Cost of soda  =  $2.50

Cost of hot dog = $3.50

The total cost of both the items can be calculated by adding the cost of both the items.

Cost of both items = 2.50 +3.50

                              = $6.00

The cost can also be calculated using distributive property as:

Cost of both items = 2.00+3.00+ 0.50 + 0.50

                                 = $6.00

Thus, the cost of both the items is $6.00.

Learn more about distributive property here :

https://brainly.com/question/12192455

#SPJ4

Find the area of this parallelogram 7cm 5cm 15cm

Answers

Step-by-step explanation:

7cm 5cm 15cm

7cm x 5cm

=35cm

35cm x 15cm

=525cm

Please what do the values given represent
Length , height or what
But the Area of a parallelogram is given as
A= base x perpendicular height

Where the perpendicular height is at 90 degrees with the base

The value of 8x÷2−3x when x=4 is

Answers

Answer:

Value = 4

Step-by-step explanation:

32÷2-12

16-12

4

Multiply (binomails)
I WILL GIVE BRAINLIEST

Answers

Answer:

1) (x+5²)=x²+10x+25

2)(m-4²)=m²-8m+16

3)(3y-2²)=3y-4

4)(½y-50)(⅗y+10)=3/10y²-25-500

5)(n-6)(n-7)=n²-13n+42

6)(3d-2)(3d+2)=9d²-4

7)(a-12)(a+12)=a²-144

8)4(3d+1)(3d-1)=36d²-4

9)(2ab+3c)(2ab-3c)=4(ab²)-9c²

10)(2mn-5²=2mn-25

Step-by-step explanation:

1) (x+5²)=

step 1

expand the square

(x+5²)

(x+5)(x+5)

step 2

distribute

(x+5)(x+5)

x(x+5)+5(x+5)

step 3

distribute

x(x+5)+5(x+5)

x²+5x+5(x+5)

step 4

distribute

x²+5x+5(x+5)

x²+5x+5x+25

steps 5

combine like terms

x²+5x+5x+25

x²+10x25

solution=x²+10x25

Answer:7)(FOIL) a^2-144  

7) (distributive property) 0

Step-by-step explanation:

(using distributive property)

(a-12)(a+12)

Rewrite

a(a+12)-a(a+12)

Multiply

a^2+12a-a^2-12a

Combine like terms

a^2-a^2=0

12a-12a=0

0+0=0

0

(expand using FOIL)

(a-12)(a+12)

Front

a*a=a^2

Outside

a*12=12a

Inside

-12*a=-12a

Last

-12*12=-144

Put together

a^2+12a-12a-144

Combine like terms

a^2-144

Which system of equations could be graphed to solve the equation below? log (2 x 1) = 3 x minus 2 y 1 = 3 x, y 2 = 2 x y 1 = log (2 x 1), y 2 = 3 x minus 2 y 1 = log 2 x 1, y 2 = 3 x minus 2 y 1 = log (2 x 1 2), y 2 = 3 x

Answers

The solutions to the equation log (2 x + 1) = 3x-2 are -0.5 and 0.8.

Equation to be solved is:

log (2 x + 1) = 3x-2

What is the solution to two functions?

The solution to two functions is the corresponding x value where graphs of two functions intersect.

From the attached diagram, we can see that the two graphs intersect at x=-0.5 and x=0.8.

Therefore,the solutions to the equation log (2 x + 1) = 3x-2 are -0.5 and 0.8.

To get more about the solution by graphs visit:

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Answer: it’s B

Step-by-step explanation:

took the test

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