32) In a triangle, the exterior angle is twice of each of the interior remote angles. The exterior angle is 1200. Find the measure of the three angles of the triangle.

Answers

Answer 1

Answer:

60 degrees each

Step-by-step explanation:

For the triangle, the sum of the interior angles is equal to the exterior

Let x and y be interior

Let z be the third angle

w be the exterior

w = x+y

120 = x+y

If the exterior angle is twice of each of the interior remote angles, then;

2x = 2y

x = y

120 = x+x

2x = 120

x = 60

Since x = y, y  = 60 degres

From the triangle, the third angle will be 180 - 120

z = 180-120

z = 60

The measures of the 3 angles are 60 degrees each


Related Questions

In a survey of U.S. Adults, 16% say they have had someone take over their email accounts without their permission. You randomly select 250 U.S. Adults and asked them whether they have had someone take over their email accounts without their permission. Find the probability that the number of U.S. Adults who say they have had someone take over their email accounts without their permission is : a. At most 40 b. Less than 45 c. Exactly 48

Answers

Answer:

a. At most 40

Step-by-step explanation:

If we take the survey that was done as a basis then we would use the 16% that was obtained as the number of overall US adults that have had their accounts used without their permission. Assuming that the 250 selected individuals were selected at random and without bias then those 250 would also be representative of the entire population. Therefore, we would simply need to multiply the number of selected individuals by the percentage in decimal form.

16 / 100 = 0.16

250 * 0.16 = 40

Finally, we can see that roughly 40 individuals would have had their email used without permission.

$3.00 Summary
Each word is $0.10
Answer the Essential Question: How do I add or subtract radical?

Answers

Step-by-step explanation:

Exposant 2 or any pair number

Find the area of the base of a box of height 4cm and lateral surface area 120cm.sq if its length is twice its breadth.

Answers

Answer:

The area of the base of a box is 1800 cm².

Step-by-step explanation:

We have:

H: is the height = 4 cm

[tex]A_{l}[/tex]: is the lateral surface area = 120 cm

L = 2B                                                                

We can find the breadth of the base by using the lateral surface area and the height:

[tex] A_{l} = H*B [/tex]        

[tex] B = \frac{A}{H} = \frac{120 cm}{4 cm} = 30 cm [/tex]

Now, if the length is twice its breadth we have:

[tex] L = 2B = 2*30 cm = 60 cm [/tex]

Hence, the area of the base is:

[tex] A_{b} = B*L = 60 cm*30 cm = 1800 cm^{2} [/tex]

Therefore, the area of the base of a box is 1800 cm².

I hope it helps you!                                                        

A cell phone company offers two plans for unlimited calling. The first plan has a monthly charge of $25 and 8.08 per text message. The second plan has a monthly charge of
$20 and $.12 per text message. For how many tect messages would the two plans have an equal cost? (What is the solution to this system? X represents the #of text
messages and represents the total costs)

• 66
• 175
• 125
• they will never cross

Answers

The answer is 125 messages.
Firstly the best thing to do is create two different equations.
1. y=25+.08x
2. y=20+.12x
Then you plug into Desmos and see at what point they cross. They cross at (125, 35).
Therefore for 125 text messages would cost 35$ for each plan.

HELP GEO TESTT
NEED ANSWERS 1, 2, 3, THXXXXXX

Answers

where’s the picture ?

You have a sack of 90 balls. 35 blue, 30 green and 25 pink. If you randomly pull one ball out of the bag, what is the probability of pulling a green ball?

Answers

Answer:

P(Green ball) = 1/3

Step-by-step explanation:

You have a sack of 90 balls. 35 blue, 30 green and 25 pink. If you randomly pull one ball out of the bag, what is the probability of pulling a green ball?

The Probability of pulling a green ball =

P(Green ball) =

Number of green balls/ Total number of balls

= 30 green balls/90 balls

P(Green ball) = 1/3

Plz help me get the right answer

Answers

Answer:

Sum is the addition -8x^2+3-9x^2+3x-3 Combine like terms -17x^2+3x

Find the area of the composite figure.

A) 22m
B) 26m
C) 30m
D) 34m

Answers

Answer:

C is the answer.

HELP DONT HAVE LONG. WILL BE GIVING THANKKS AND STUFF

Answers

Answer:

z is 95 degrees.

Step-by-step explanation:

Linear angle pairs make 180 degrees. Since ∠ABC is a straight line, it is 180 degrees. And since ∠ABD and ∠DBC are on that line, they are a linear angle pair. You just need to find out what number + 85 degrees would = 180 degrees, which in this case, is 95.

Also in the first question P = 30, because 2(30) + 30 = 90

Help Pls!!! Will give brainliest

Answers

Answer:

a

Step-by-step explanation:

describe and correct the error in solving the proportion?

Answers

Answer: Choice B

They did not perform the cross multiplication properly

The correct step should be m*24 = 8*15 which solves to m = 5

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

Explanation:

In general, if we had the equation A/B = C/D, then it cross multiplies to A*D = B*C. We refer to this as cross multiplication because of the shape made when we connect the terms (to figure out what multiplies with what). The diagram below shows what I mean.

So that's why m/8 = 15/24 cross multiplies to m*24 = 8*15

Simplifying things a bit leads to 24m = 120. Then we divide both sides by 24 to fully isolate m and we get m = 120/24 = 5. Therefore, m = 5.

You have a triangle with one side length of 5 and side B
with a length of 13. What is the length of the diagonal?



Fastest answer will get brainliest

Answers

Answer:

13.9283882772

Step-by-step explanation:

Pythagorean Theroem, so 5^2+13^2=194

Under square root 194=13.9283882772

Hope I helped!

What is the rule for the following geometric sequence? 64, -128, 256, -512...

Answers

Answer:

The previous number keeps getting multiplied by - 2

Step-by-step explanation:

64 ×-2 = -128

-128 × -2 = 256

256 × -2 = -512

a ladder is leaning against a building. the top of the ladder is 21 feet up the wall. the bottom of the ladder is 20 feet away from the base of the building. how long is the ladder

Answers

Answer:

29

Step-by-step explanation:

We can use the pythagorean theorem to find the length of the ladder

[tex] {20}^{2} + {21}^{2} = c {}^{2} [/tex]

[tex]400 + 441 = {c}^{2} [/tex]

[tex]841 = {c}^{2} [/tex]

[tex]c = 29[/tex]

The answer is 29

Answer:

19 ft .

Step-by-step explanation:

Given :-

Height = 21 ft .Base = 20ft.

Using Pythagoras Theorem :-

p² + b² = h² 20² + 21² = h²400 + 441 = h²h² = 841h = √841 h = ± 19 ft h = 19 ft .

solve for the altitude to the base of an isosceles traingle given a leg is 16yd and the perimeter is 56yd

Answers

Answer:

one yard is equal to 3 feet so

please help me ( show ur work it’s multiple choice ):)

Answers

b=29.4 !!!!!!!! this how i do it

PLZ HELP ME PLZZZ I WILL GIVE BRAINLIEST......I REALLY NEED THE ANSWERS.

Answers

Answer:

2,4,2,1.7

Step-by-step explanation:

what is the rule for solving any equation?

A. just look at it and it will be solved
B. always add the numbers
C. Do the inverse or opposite operations
D. the is no rule for solving equations

Answers

c i’m pretty sure but i also have a 39% in math rn but that sounds right

Answer:

C) Do the inverse or opposite operations

Step-by-step explanation:

Take for example the equation 4=2x. Because 2 is being multiplied by x, the only way for x to get by itself is to do the opposite operation; dividing both sides by 2 to get 2=x.

find the value of the variables. x and y​

Answers

Answer:

x = 29.4

y = 17

Step-by-step explanation:

sin 90° / 34 = sin 60° / x

x = 34·sin 60°

x = 29.4

sin 90° / 34 = sin 30° / y

y = 34·sin 30°

y = 17

Can someone help me plz. Thank you! :)

Answers

Answer:

If I knew the answer I would have helped you but I don't know it sorry.

A match box dimension is 4cm×2.5cm×1.5cm.What will be volume of a packet containing such 6 match boxes?How many such packets can be placed in a cardboard box whose size is 60cm×30cm×24cm?

Answers

Match box volume is 15cm

You can fit 2,880 match boxes in the cardboard box which is 43,200cm

Alaina needs to sell 225 boxes in order to be the top seller. She sells thin mints and samoas to all of her customers for a total of $628.00 in sales. The thin mints sell for $3.00 each and the samoas sell for $2.50 each. Which system of equations below could be used to find how many boxes of thin mints and samoas were sold?

Answers

Answer:

94 boxes of samoas

131 boxes of thin mints

Step-by-step explanation:

m=mints

s=samoas

s+m=225    m=225-s

s(2.5)+m(3)=628

2.5s+3m=628

substitute for m

2.5s+3(225-s)=628

2.5s+675-3s=628

reduce

-0.5s=-47

s=94

m=131

VJ 15 TL
ППОпрот)
. Which of the following is a zero of the polynomial f(x)= x5+2x4+x+2?
A. I
B.-1
C.-2
D. 2​

Answers

Answer:

x = -2 is a function

Step-by-step explanation:

To get which is a zero, we have to look at one value of x which when substituted into the polynomial will give -1

we have this as:

Let us try the value x = -2

-2^5 + 2(-2)^4 - 2 + 2

= -32 + 32 - 2 + 2 = 0

This means that the term x = -2 is a root of the equation

Inscribed angles!!

Find A, B, and C

Answers

sum of all exterior angles equals to 360

sum of interior angles equal to 180

divide 360 by 122 to find b the rest you'll get it

as you go further in the question

can someone plz help me

Answers

Answer:

x is less than or equal to negative 14.

Step-by-step explanation:

so for now we should pretend that the greater than or equal to is an equal sign, and simplify the problem to get x alone on a side

remove 5 from each side

-x/3=1/3-5

-x/3=14/3

multiply both sides by 3

-x=14

x=-14

so we can now replace the equal sign with the equal or greater to, so x is less than or equal to -14

help a dude out lol this is overdue

Answers

Answer:

5

Step-by-step explanation:

The right angle is 5 so that means the x is 5

Answer:

5

Step-by-step explanation:

9+6=15, 3*3=9 3*5=15 so the answer for x is 5

Which set of points would NOT define function? F) (-2,-2),(-1,-1),(0,0),(1,1),2,2) G) (-2,9), (0,1),(1,0),(3,4),(4,9) H) (-1,0),(0,1),(0,-1),(3,2),(3,-2) J) (-6,2),(-5,1),(-4,0),(-3,1),(-2,2)

Answers

Answer:

H

Step-by-step explanation:

H and j and f . ZbxbdhevahHvsabhsshhshsbsbshshshs

The population of a certain animal species decreases at a rate of 2.5%. If there are 400 of this animal in the wild, using an exponential function, predict approximately how many there will be in 4 years. Round to the nearest whole number.

Answers

X=y so y is the factor of 20 so the answer would be 20y

Answer:

20 years

Step-by-step explanations:

You just do the work and figure it out and it gives you the answer of 20 years

A middle school principal wants to change the lunch menu at the school. The principal surveys
the students to determine how the students would feel about the changes. Which survey
method will best produce the representative sample?

Answers

Canteen survey method with different food options.

A tree grows 2 inches per year. It was 14 inches tall when it was planted. what would be this function discrete continuous or neither? whould it be a linear an exponential or neither? what would be the domain?


please help greatly appreciated

Answers

Answer:

This function is a continuous linear function that's domain is all positive real numbers.

Step-by-step explanation:

This function is continuous because every linear function is continuous and this function is the linear function y = 2x+14 where x is the years it has been planted and y is the height.

It is a linear function, it's hard to explain, but it has a dependent variable, the height of the tree that changes at a constant rate with the independent variable which is time in years.

The domain is all positive real numbers since time/years can not be negative.

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