Drag a statement or reason to each box to complete this proof.

Given: the measure of angle A C D equals 60 degrees. Prove: triangle A B C is an obtuse triangle. Art: A triangle A B C. Side B C of the triangle is extended as a ray through point D.

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check images below!

Drag A Statement Or Reason To Each Box To Complete This Proof.Given: The Measure Of Angle A C D Equals
Drag A Statement Or Reason To Each Box To Complete This Proof.Given: The Measure Of Angle A C D Equals
Drag A Statement Or Reason To Each Box To Complete This Proof.Given: The Measure Of Angle A C D Equals

Answers

Answer 1

Answer: 2. Linear pair postulate

4. 60 + mACB=180

5. mACB=120

6. definition of obtuse angle

Answer 2

The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given triangle ABC with extended line CD.

Since CD is colinear with BC, therefore, BCD will be a single straight-line segment.

The ∠BCD is straight angle so it will be 180°.

∠BCD = ∠ACB + ∠ACD

∠ACB + 60 = 180

∠ACB = 180 - 60 = 120°.

An obtuse triangle is a triangle whose one or more interior angle is greater than 90°.

Since∠ACB > 90° therefore triangle ABC is an obtuse angle.

Hence "The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle".

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Related Questions

hi i need help my lazy -

Answers

Answer:

1/4 x (3 x 7) less than

(3 x 7) ÷ 5 less than

(3 x 7) - 8 less than

(3 x 7) ÷ 1 equal to

1 x (3 x 7) equal to

5 + (3 x 7) Greater than

(3x7) x (3-1) Greater than

(3x7) + (1-1) equal to

Step-by-step explanation:

i hope this is right

Help me with this pls!!!

Answers

Answer:

B) $1.25

Step-by-step explanation:

1. First, let's take two points. In this case, we're going to take (4,5) and (8,10). We took 2 points, so we can verify the unit rate/cost per pound of pineapple.

2. To find the cost per pound of pineapple, we have to divide the cost (the y-coordinates) by the pound (x-coordinates)

5 ÷ 4 = 1.2510 ÷ 8 = 1.25

3. Now, since we can verify with 2 coordinates that the cost per pound is $1.25, the answer is B) $1.25.

A fishing boat radioed the Coast Guard for a helicopter to pick up a sick crew member. At the time of the message, the boat is 660 kilometers from the helicopter and heading toward it. The average speed of the boat is 30 kilometers per hour, and the average speed of the helicopter is 300 kilometers per hour. How long will it take the helicopter to reach the boat

Answers

The answer for this question is 6,000

what is 5713 – 75 =
show your workings out

Answers

Answer:

5713 - 75

= 5638

Step-by-step explanation:

brainliest plz

cheryis softball batting average in 0.340 and karins is 0.304 kartin says they have the same avarge what error did she make explain

Answers

She made an error , 0.340 is bigger because of the ones and tens place being switched

36.05 rounded off to the nearest tens place

Answers

Answer:

36.1

Step-by-step explanation:

if the 100s place is 5 or above add 1 to the tens place. if it's 5 or below the tens will stay the same.

Use substitution to solve 2x2=5+y and 4y= -20+8x2

Solve the first equation for Y and substitute it into the second equation. The resulting equation is?

Answers

Step-by-step explanation:

First

2 × 2 = 5 + y

y = -1

And

4y = -20 + 8 × 2

4 × (-1) = -4

-4 = -4

Is this what you wanted?

help please, im confused​

Answers

Answer:

same sir sorry can't help you ok bye sorry

Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown: A support structure is shown in which a right triangle PQR is formed with the right angle at Q. The length of PQ is shown as 14 feet, and the length of QR is shown as 6 feet.. Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer, stating the theorem you used. Show all your work. (5 points) Part B: The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth. Show all your work. (5 points)

Answers

Answer:

You didn't give us a picture to look at

Step-by-step explanation:

can anyone explain to me how to do this question ? ty !!​

Answers

Step-by-step explanation:

use a little imagination.

the whole thing is a combination of churches and half- circles.

and you know the formula for the area of a circle ?

A = pi×r²

so, the only difficulty is to find the circles and then the radius of each involved circle.

when you look at the picture, the shaded area is almost identical to the lower half of the main circle.

2 bumps "look" over into the other side, but one equally sized bump is removed from this lower half.

so, as a first step we will calculate the area of the lower half of the main circle.

the diameter is 24 m, so the radius is half of that : 12m

the area of the large circle is therefore

pi×12² = 144×pi m²

since we only need the (lower) half, we divide this by 2 :

144×pi / 2 = 72×pi m²

the bumps up and down are actually half-circles too. just of smaller circles.

since AB = BC = CD, we know each of these lines are 1/3 of the main diameter AD.

so, the diameter of the smaller circles is 24/3 = 8 m

and their radius is half of that = 8/2 = 4m

the area of such a small circle is therefore

As = pi×4² = 16×pi m²

and a small half-circle area is then

16×pi / 2 = 8×pi m²

so, for the full shaded area I need to take the large half-circle and add 2 small half-circles, and then subtract 1 small half-circle.

so, in total I only need to add 1 small half-circle.

Ashaded = 72×pi + 8×pi = 80×pi m²

helppppppppppppppppp meeeeeeeee

Answers

Answer:

1.392 km²

Step-by-step explanation:

8.352÷6

please mark me brainliest

I need to solve for x

Answers

Answer:

x = 10

Step-by-step explanation:

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. The two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles.

In the given problem, the exterior angle is < JUV, and its corresponding remote interior angles are < V and < W.

Establish the following equation according to the exterior angle theorem:

< V + < W = < JUV

88° + (5x + 1)°  = (14x - 1)°

Solve for x algebraically:

88° + 5x + 1  = 14x - 1

89 + 5x = 14x - 1

89 + 1 + 5x = 14x - 1 + 1

90 +  5x = 14x

90 + 5x - 5x = 14x - 5x

90 = 9x

90/9 = 9x/9

10 = x

Therefore, the value of x = 10.

what is the value of x for 10x+1=3(4x+2)-3? ​

Answers

Answer:

x= 7

Step-by-step explanation:

Answer:-1

Step-by-step explanation:

10x+1=3(4x+2)-3

10x+1=12x+6-3

10x+1=12x+3

1=2x+3

-2=2x

1=x

3(x − 5) − 5x = −25 + 6x

Answers

x=5/4

the explantion would be to long lol

Answer:

x = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

3(x - 5) - 5x = - 25 + 6x ← distribute parenthesis and simplify left side

3x - 15 - 5x = - 25 + 6x

- 2x - 15 = - 25 + 6x ( subtract 6x from both sides )

- 8x - 15 = - 25 ( add 15 to both sides )

- 8x = - 10 ( divide both sides by - 8 )

x = [tex]\frac{-10}{-8}[/tex] = [tex]\frac{5}{4}[/tex]

What is the rate of return when 35 shares of Stock A, purchased for $20/share, are sold for $815? The commission on the sale is $6. Rate of Return = [?] % Give your answer as a percent rounded to the nearest tenth​

Answers

Cost price:-

[tex]\\ \sf\longmapsto 35\times 20[/tex]

[tex]\\ \sf\longmapsto 700[/tex]

Commision=$6Total sold price=815+6=823$

Now

Return=823-700=123

Rate of return

[tex]\\ \sf\longmapsto \dfrac{123}{700}\times 100[/tex]

[tex]\\ \sf\longmapsto \dfrac{123}{7}[/tex]

[tex]\\ \sf\longmapsto 17.5\%[/tex]

The rate of return on the stock will be equal to 17.3%.

What is the Percentage?

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Total number of stocks = 35

Purchase price of each stock = $20

Then, the price of 35 stocks will be,

35 × $20 = $700

The selling price of all stocks = $815

Also, the commission for selling is $6.

So, the extra money earned will be,

815 - 700 + 6 = 115 + 6

= $121

So, the rate of return from the original price will be,

= 121/700 × 100

= 12100/700

= 17.3%

To know more about Percentage:

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Anyone please help me to solve this problem Fast fast plz plz
please.​

Answers

[tex] - \frac{2}{ \sqrt{2} } \\ \\ in \: \: alternate \: \: form \\ \\ = - 0.7070107[/tex]

hope it helps

Hi, I need help with this question and I don't it is right or wrong answer pls correct me and explain.

Answers

Answer:

x=5.5

Step-by-step explanation:

2x+3.50=14.50

2x=14.50-3.50

2x=11

x=11/2

x=5.5

Option B

Let's Find x

[tex]\\ \sf\longmapsto 2x+3.50=14.50[/tex]

[tex]\\ \sf\longmapsto 2x=11[/tex]

[tex]\\ \sf\longmapsto x=11/2=5.5[/tex]

Solve for x.

x ÷ 0.6 = 9.3


x = 5.58

x = 9.9

x = 8.7

x = 15.5

Answers

Answer:

x=5.58

Step-by-step explanation:

Answer: 5.58

All the other answers are wrong. You want to subtract both sides to get x alone. I used a calculator.

Can someone please help me with this question.

Thank you.​

Answers

Answer:

okay so..

Given

<2 = 110°

• <2 = <4 so <4 = 110°

Step-by-step explanation:

Solution

• <4 is equal with it's front facing angle(the angle next to <1) let's call that angle <x

<4 = <x = 110°

<x + <1 = 180°

110° + <1 = 180°

<1 = 180° - 110°

<1 = 70°

• <4 + <3 = 180°

110° + <3 = 180°

<3 = 180° - 110°

<3 = 70°

Please HELPPPPPPPPPP

Answers

Answer:

1.3

2.6

3.24

Step-by-step explanation:

Hope it helps

A) 3
B)6
C)6/1=6
I hope I helped

If 10% is RS 1500 then find 90%.​

Answers

Answer:

10%=1500

so 100% = 15000

90%= 100% - 10%

15000-1500=13500

90%=13500

Which statement BEST compares the growth of the two functions shown in the table?
A
The value of the exponential function will never be greater than the linear
function
B)
The value of the linear function will never be greater than the exponential
function
The value of the linear function will eventually be greater than the
exponential function
D)
The value of the exponential function will eventually be greater than the
linear function

Answers

Answer will be (D)

The value of the exponential function will eventually be greater than the

linear function.

and

B)

The value of the linear function will never be greater than the exponential

function

can anyone helpp meeee???

Answers

Answer:

Look at the photo.................

What is the slope of the line on the graph?




Enter your answer in the box.

No links Nothing unrelated

Answers

Answer:

6

Step-by-step explanation:

(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6

Someone plz help me :(

Answers

Answer:

28 miles

Step-by-step explanation:

12:3

7:x

12÷3=4

4 miles per hour

7•4=28

Answer: Maria will run 28 miles in 7 hours.

Explanation: Since she ran 12 miles in 3 hours, we can simply do 12m/3 and get a pace of 4m or 4 miles per hour. Then multiply 4 by 7 because thats how many hours she has to run. The answer is 28.

-7 + - 20 please help me i really don't understand

Answers

Answer:

-27

Step-by-step explanation:

-7 + - 20

let's not forget that a + and a - is equal to a - therefore all the question really says is ...

-7-20

which is now easier to do and is equal to

= -27

Hope this helped you, have a good day bro cya)

If the spinner shown is spun 40 times,predict the number of times the spinner would land on section A. Give the number of times only

Answers

Picture is not stated. But given the text, I would say divide the # of section A / 40 = some number

please actually help me

Answers

Answer:

A.) 6:51

B.)The train at 6:42

C.)34 minutes

–3.8p + 4.5p − 6.67 = –9.57 + 0.2p how do u solve p?

Answers

Answer: p = - 5.8

Step-by-step explanation:

0.7p - 0.2p = -9.57 + 6.67

0.5p = -2.9

p =  [tex]\frac{-2.9}{0.5}[/tex]

p = - 5.8

please give me a brainliest answer

Calculate the value of x and state the geometric relationship

Answers

They are same side interior angles and same side interior angles are supplementary (add up to 180 degrees).
So, 6x+12+4x+18=180
Combine like terms:
10x+30=180
Subtract 30 from both sides:
10x=150
Divide both sides by 10:
x=15.

Therefore, the angles are same-side interior angles and x=15.
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