Answer: 2. Linear pair postulate
4. 60 + mACB=180
5. mACB=120
6. definition of obtuse angle
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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hi i need help my lazy -
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
please actually help me
Answer:
A.) 6:51
B.)The train at 6:42
C.)34 minutes
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)
Answer:
You didn't give us a picture to look at
Step-by-step explanation:
Hi, I need help with this question and I don't it is right or wrong answer pls correct me and explain.
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]
What is the slope of the line on the graph?
Enter your answer in the box.
No links Nothing unrelated
Answer:
6
Step-by-step explanation:
(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6
Please HELPPPPPPPPPP
Answer:
1.3
2.6
3.24
Step-by-step explanation:
Hope it helps
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
–3.8p + 4.5p − 6.67 = –9.57 + 0.2p how do u solve p?
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
Anyone please help me to solve this problem Fast fast plz plz
please.
[tex] - \frac{2}{ \sqrt{2} } \\ \\ in \: \: alternate \: \: form \\ \\ = - 0.7070107[/tex]
hope it helps
-7 + - 20 please help me i really don't understand
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)
Can someone please help me with this question.
Thank you.
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°
Someone plz help me :(
Answer:
28 miles
Step-by-step explanation:
12:3
7:x
12÷3=4
4 miles per hour
7•4=28
Solve for x.
x ÷ 0.6 = 9.3
x = 5.58
x = 9.9
x = 8.7
x = 15.5
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.
what is 5713 – 75 =
show your workings out
Answer:
5713 - 75
= 5638
Step-by-step explanation:
brainliest plz
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?
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?
can anyone helpp meeee???
Answer:
Look at the photo.................
helppppppppppppppppp meeeeeeeee
Answer:
1.392 km²
Step-by-step explanation:
8.352÷6
please mark me brainliest
I need to solve for x
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?
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
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
36.05 rounded off to the nearest tens place
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.
can anyone explain to me how to do this question ? ty !!
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
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
If 10% is RS 1500 then find 90%.
Answer:
10%=1500
so 100% = 15000
90%= 100% - 10%
15000-1500=13500
90%=13500
Help me with this pls!!!
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 = 1.253. Now, since we can verify with 2 coordinates that the cost per pound is $1.25, the answer is B) $1.25.
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
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
3(x − 5) − 5x = −25 + 6x
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]
Calculate the value of x and state the geometric relationship
help please, im confused
Answer:
same sir sorry can't help you ok bye sorry
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
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%
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