In a triangle, an exterior angle formed by producing a side is half of a right angle. One of the two opposite interior angles is twice the Other; find the sizes of each interior angle of triangle.​

Answers

Answer 1

Step-by-step explanation:

let's explain this a bit.

when the exterior angle is a certain size, then the interior angle is 180 - that exterior angle.

in our case the exterior angle is half of a right angle, so it is 90/2 = 45°.

the corresponding interior angle is 180-45 = 135°.

the sum of all angles inside a triangle is always 180°.

so,

x + 2x + 135 = 180

3x = 45

x = 15°

2x = 30°

so, the 3 interior angles are

135°, 15°, 30°


Related Questions

What is the definition of a chronological structure?
A. Describes events in order they occurred or gives ordered instructions
B. Shows relationship between events, explains how one thing happens as a result of another
C. Describes a topic, idea, person, place or thing
D. Describes a problem as well as its causes and suggests solutions

Answers

Answer:

The arrangements of things following one after another in time

C (-1,-7), A (1,4), T (5, 1). What kind of triangle is CAT? Calculate the area and the perimeter of CAT.

Answers

Answer:

A) Right Angle Triangle

B) 25 units²

C) (15 + 5√5) units

Figure Their Length:

[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Distance between C and A

[tex]\rightarrow \sf CA = \sqrt{(1 - (-1))^2 + (4 - (-7))^2} \ = \ 5\sqrt{5}[/tex]

Distance between C and T

[tex]\rightarrow \sf CT = \sqrt{(-1-5)^2+(-7-1)^2} \ = \ 10[/tex]

Distance between A and T

[tex]\rightarrow \sf AT = \sqrt{(1-5)^2 +(4-1)^2} \ = \ 5[/tex]

Part A:

When drawn on graph, we can identify it is a right angle triangle.

Or use Pythagoras Theorem:

10² + 5² = (5√5)²

125 = 125... Hence it is a right angle triangle confirmed.

Part B:

Area of triangle = ½ × base × height = ½ × 10 × 5 = 25 units²

Part C:

Total Sum or measure of all sides: 5 + 10 + 5√5 = 15 + 5√5 units

Evaluate 3 x 2/7 give your answer as a fraction

Answers

[tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex]

[tex] \huge\frac{6}{7} [/tex]

step by step Explanation :

= 3 × [tex] \huge\frac{2}{7} [/tex]

We have to just multiply 3 with numerator which is 2 and product will be 6 .

= [tex] \huge\frac{6}{7} [/tex]

hope it helps you

Answer:

6/7

Step-by-step explanation:

You multiply 3 by the numerator of the fraction

3 multiplied by 2 is 6

Your answer is 6/7

i need help with this

Answers

Did you just do it already ? Reply so i can give you the answer

Can I get some help with this?

Answers

hey !
The blank is 2-[tex]\fbox{4}[/tex]
The blank is 6-[tex]\fbox{3}[/tex]
The blank is 0-[tex]\fbox{2}[/tex]

PLS HELP ME ASAP !!!

Answers

The probability that she picks a blue marble three times in a row is 1/125.

Given that

Samantha has a bag of 5 different colored marbles.

She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.

We have to determine

What is the probability that she picks a blue marble three times in a row?

According to the question

Samantha has a bag of 5 different colored marbles.

She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.

The probability of picking a bag one time is,

Number of bag pack at a time

Total number of bag

=1/5

The probability of picking a bag second time is,

Number of bag pack at a time Total number of bag

=1/5

The probability of picking a bag third time is,

Number of bag pack at a time

Total number of bag

=1/5

031%

Therefore,

The probability that she picks a blue marble three times in a row is,

= 1/5 X 1/5 X 1/5

1 /125

Hence, the probability that she picks a blue marble three times in a row is 1/125.

To know more about Probability click the link given below.

https://brainly.com/question/11441437

Step-by-step explanation:

hope this helps

Which of the following sets does not contain any irrational numbers?
PICTURE OF SETS SHOWN BELOW.

Thank you so much

Answers

Its pretty much a.

I’ve had this in my earlier years of schooling.

Translate the problem into a mathematical sentence, using c as your variable
name. Do not use spaces in your answer.
Tom bought 13 CDs in December. Of those, 5 were jazz, the rest were
classical music. How many classical music discs did he buy?
Answer here
SUBMIT

Answers

c=8

Step-by-step explanation:

13-5=c, c=8

Write the coordinates of the vertices after a rotation 270° counterclockwise around the origin.

Answers

Answer:

When rotating a rectangle 270° counter clockwise, you change the vertices in this way: (x,y) ---> (y,-x).

In other words, the "x" and "y" values switch, and the "x" becomes negative. If the "x" value is already negative, it becomes positive.

E' = (-8,6)   ---->   (6,8)

F' = (-8, 10)   ---->   (10,8)

G' = (-3, 10)   ---->   (10,3)

H' = (-3, 6)   ---->   (6,3)

In Chemistry class, Samantha finds that she can make a certain solution by mixing 0.04 liters of chemical A with 0.02 liters of water (this gives her 0.06 liters of the solution). She wants to make a total of 0.48 liters of this new solution. To do so, how many liters of water will she use?

Answers

Answer:

  0.16 liters of water

Step-by-step explanation:

Samantha's recipe makes 0.06 liters of solution. She wants 0.48 liters of solution, an amount 0.48/0.06 = 8 times as great as made by one recipe.

The recipe calls for 0.02 liters of water. To make 8 times the amount of solution, Samantha will use 8 times as much water: 0.16 liters.

Samantha will use 0.16 liters of water to make 0.48 liters of solution.

__

Alternate solution

The fraction of solution that is water is (0.02 L)/(0.06 L) = 1/3. For 0.48 L of solution, the water needed is 1/3×0.48 L = 0.16 liters.

Answer:

0.16L

Step-by-step explanation:

I need of helppp please

Answers

Answer:

6

Step-by-step explanation:

The sides are in proportion.

[tex]\frac{BC}{QR}= \frac{AB}{PQ}[/tex]?/18 = 2/6?/18 = 1/3? = 18/3? = 6

Someone please check my work 1-4 please, correct my answers if they are incorrect. Thank you.

Answers

i think all of your answers should be correct, but i think you should label them specifically (ex. 600$ in stock) and also maybe on the first two questions say that dorris miscalculated by 125$ and like explain how a bit better

En el sistema, encontrar el doble de y:
2x + y = 5
x + y = 4

a) 6
b) 4
c) 3
d) 2

Answers

Answer:

y=3

x=1

Step-by-step explanation:

1 by substitution method

2x+y=5 (1)

x+y=4 (2)

find x in eq 2

x=4-y

put the value in eq 1

2x+y=5

2(4-y)+y=5

8-2y+y=5

8-y=5

-y=5-8

-y=-3

y = 3

x=4-y

x=4-3

x=3

hope it helps you

please mark it as brainliest

PLEASE HELP
Which function, g or h, is the inverse function for function f?

Answers

Answer: The function h because the graphs of f and h are symmetrical about the line y=x.

a fan does 65 rotations in 52 seconds how long does it take to do 200 rotations

Answers

Answer: 160 seconds

Step-by-step explanation:

First let us find the number of seconds per rotation


52 second/65 rotations

52/65

0.8 seconds/1 rotation

0.8 seconds per rotation


Now let us multiply 0.8 by 200 to get our answer


0.8 * 200

160


It takes 160 seconds to do 200 rotations

Answer:

160 seconds

Step-by-step explanation:

We have 65 rotations in 52 seconds, let's represent it like this:

[tex]\frac{52 seconds}{65 rotations}[/tex]

Now, let's multiply this by 200 rotations, and cancel out the rotations on the bottom:

[tex]\frac{52 seconds}{65 rotations} * 200 rotations[/tex]

See how there is rotations on both the top and bottom? This cancels both of them and leaves seconds!

Multiply the above equation and we get:

160 seconds or 2 minutes 40 seconds.

Hope this helps! Good luck and if you have questions please leave them in the comments!

what is the circumference and area of 17 diameter

Answers

Answer:

circumference: 17 x 2 = 34

Area:  3.14 x 8.5^2 = 226.865

Answer:

circumfrence: ≈53.40708 area:≈226.98007

Step-by-step explanation:

For area, the formula is A=πr^2, so first divide the diameter (17) by 2 to get the radius which is 8.5

square 8.5 and then multiply by pi

plug everything in to get ≈226.98007

For circumfrence the formula is πd, so multiply 17 by pi

plug everything in to get ≈53.40708

please answer this question I need to get it right :(

Answers

Answer: E ; (0,12) , (9,0)

Explanation: To find coordinates by a scale factor is by multiplying.
What we need to do is to multiply the coordinate points by the scale factor.

Find A' is use A 's coordinate.  A 's coordinates are (0,4)
3 x 0 = 0
3 x 4 = 12

A' coordinates are : (0,12)

Using the same technique with C'.
3 x 3 = 9
3 x 0 = 0

C' coordinates are : (9,0)

Hi! Emergency. Please answer! I'll mark brainilest. :)))

A triangle has sides of lengths a=37, b=39, c=63 ft.


Find the measures of the 3 angles


Enter your answer as a number; answer should be accurate to 2 decimal places.





Angle A =

°


Angle B =

°


Angle C =

°

Answers

Answer:

angle A: 33.005

Angle B: 35.04

Angel C: 111.955

Step-by-step explanation:

look at attached image for more info

Hope it helps! Have a wonderful day

Find the value of x 63° (2x + 3)°

Answers

Answer:

x = 20

Step-by-step explanation:

63−3x=3

−3x=−60

x=20

phone 35% off
now only £78
how much was the phone before the discount price

Answers

Answer:

€ 120

Step-by-step explanation:

full price of the phone in terms of percentage

= 100%

percentage discount = (100-35)% = 65%

let the price of the phone before discount= X

therefore,

65%-----------78

100%----------X

cross multiplying

65×X = 100×78

dividing bothsides by X

X = 100×78/65

X = 7800/65

X = 120

price of the phone before discount=€120

Question 6 (Essay Worth 6 points)
(06.03)
4(2x + 3) + 5y
From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not presen
write "not present."

Answers

Answer:

A term is a single number or variable, in this case, the number 2.

The sum in this equation would be 4x + 2.

The product is the result of multiplication, in this equation, the result of 5(4x + 2).

The factors are the digits that are being multiplied, in this case, 5 & 4x + 2

The quotient is the result of a division, in this case, the result of (4x + 2) / 7y.

A coefficient is a number that is being multiplied by a variable, in this case, 4 & y.

Which of the functions below indicates a graph that has been vertically shifted by 3 units?
O y = = 3 log (2)
Oy log (3x)
Оy log (x + 3)
Оy= log (x) + 3

Answers

The function which represents a graph which has been vertically shifted by 3 units is; y= log (x) + 3.

Which function has been shifted by 3 units?

It follows from the task content that the graph which has been shifted vertically is to be identified.

For a vertical shift, it means that the y value of such graphs must have increased or decreased. This is However, evident in the equation y= log (x) + 3 and hence, is the solution.

Read more on function shift;

https://brainly.com/question/23919891

Which shows the equation of the line containing the point (–2, 6) and having a slope of 3 in slope-intercept form?


3y = x + 20


y=3x−20

y = 3x + 12


y=−32x+3

Answers

Answer:

y=3x+12

Step-by-step explanation:

Use this formula: y-y1=m(x-x1)
(y-Your y point=slope(x-Your x point)

Point= (-2, 6), Slope= 3

(Anything negative, you add. Anything positive, you subtract.)

Plug in your values: y-6=3(x+2)
distribute: y-6=3x+6
Add six to both sides of the equation:y-6(+6)=3x+6(+6)
We get our answer: y=3x+12
Hope this helps!! :)

Ethan bought some bags of marbles. The number of bags he bought was 11 less than the number of marbles in each bag. Ethan bought 26 marbles in all. How many marbles were in each bag?

Answers

Answer:

13?

Step-by-step explanation:

idrk best guess. 26 divided by 2= 13.   11-13 + 2


QUICKKK!! PLEASE
The probability of picking the winning 4-digit number in a Pick 4 lottery is 1/10000.
(a) Explain what this probability means.
(b) If 10000 people play the Pick 4 lottery, will exactly 1 person win the lottery? Explain.
(c) The winning number in a Pick 4 lottery was 1234 two days in a row. What is the likelihood o
this number occurring on the next drawing? Explain

Answers

A probability of 1/10000 means that only one person can get the Pick 4 lottery among 10000 pickers.

What is probability?

The term probability has to do with the chance that an event will occur or not. Usually probability is expressed as a fraction.

The meaning of the saying that the  probability of picking the winning 4-digit number in a Pick 4 lottery is 1/10000 is that only one person can get the Pick 4 lottery among 10000 pickers.

Learn more about probability:https://brainly.com/question/8058700

#SPJ1

In AVWX, v = 64 cm, w = 18 cm and x=63
cm. Find the measure of ZW to the
nearest degree.

Answers

Answer:

The answer is 1230cm square

A company is going to make a storage container with sheet steel walls. The container will be in the shape of a rectangular prism, as shown below. If the sheet
steel costs $25 for each square meter, how much will the sheet steel cost in total?
6 m
3 m
5 m

Answers

Answer:

$42.78

Step-by-step explanation:

explanation is on the picture

Ellen wrote 18 checks in May. The first five checks had no fee.
The bank charged $0.25 for the remaining checks written that
month. The monthly service charge on the account is $5.
What is the total amount of fees Ellen paid in May on her
checking account?

Answers

$8.25
The first 5 checks are free so you can subtract the 5 from 18 which is 13. Then you multiply 13 & .25 which is equal to $3.25 and then you just add the $5

You invest $2,800 in an account that
pays an interest rate of 5.5%,
compounded continuously. Calculate the balance of your account after 12 years

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2800\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ t=years\dotfill &12 \end{cases} \\\\\\ A=2800e^{0.055\cdot 12}\implies A=2800e^{0.66}\implies A\approx 5417.42[/tex]

A wooden block is in the shape of a regular hexagonal pyramid. The lateral surface area of the pyramid is 450 square centimeters, and the pyramid has a slant height of 15 centimeters. What is the side length of the base?

Answers

Answer:

10 cm

Step-by-step explanation:

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