state and
prove angle
angle
sum property of triangle
Answers
Answer:
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Step-by-step explanation:
(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥
Angle sum property of triangle states that the sum of interior angles of a triangle is 180°
We need to prove angle sum property.
What is angle sum property?
The sum of interior angles of a triangle is 180 degrees
Consider a ∆ABC, as shown in the figure below. To prove the above property of triangles, draw a line PQ parallel to the side BC of the given triangle
Since PQ is a straight line, it can be concluded that:
∠PAB + ∠BAC + ∠QAC = 180° ………(1)
Since PQ||BC and AB, AC are transversals,
Therefore, ∠QAC = ∠ACB (a pair of alternate angle)
Also, ∠PAB = ∠CBA (a pair of alternate angle)
Substituting the value of ∠QAC and ∠PAB in equation (1),
∠ACB + ∠BAC + ∠CBA= 180°
Thus, the sum of the interior angles of a triangle is 180°.
To learn more about angle sum property click here: https://brainly.com/question/21364160
#SPJ2
Related Questions
help please i don’t understand
Answers
Step-by-step explanation:
perimeter = sum of all sides of figure
perimeter = 18cm + 18cm + 8cm + 18cm + 30cm + 18cm + 18cm + 4cm
perimeter = 132cm
plz follow me
additive inverse of 3x - 6.
Answers
Answer:-3
Step-by-step explanation:
The radius of a circle is 4 meters. What is the circle's circumference?
r=4m
Use 3.14 for pie
Answers
This value is approximate because pi = 3.14 is approximate
===========================================================
Work Shown:
r = 4 = radius
pi = 3.14 approximately
C = circumference
C = 2*pi*r
C = 2*3.14*4
C = 25.12
The circumference is approximately 25.12 meters.
Side note: The circumference is the same as the perimeter of a circle.
Need Help Please!!!!
Answers
Answer:
lol hard!
Step-by-step explanation:
Put 5 stats on this
im going down to S o U t H p A r K
Answers
Answer:
ok have a nice time
Step-by-step explanation:
Answer:
I totally agree *brainly don't take down my answer pls*
Step-by-step explanation:
the question is in the photo
Answers
Answer:
d is vertical so its 70 b c and a combined is also vertical to e so we have 110
Step-by-step explanation:
will give 100 points
Answers
Answer:
The answer is <ACD = 68°
Step-by-step explanation:
Using the property that the sum of interior angles in a triangle is equal 180°,we have:
<DAC + <ACD + <ADC = 180°
[tex]2x + (180 - 4x) + 56 = 180 \\ - 2x + 56 = 0 \\ 2x = 56 \\ x = \frac{56}{2 } \\ x = 28[/tex]
Finally, calculating the angle <ACD, we have:
<ACD = 180 - 4x
<ACD = 180 - 4 . 28
<ACD = 180 - 112
ACD = 68°
Answer:
x = 28°
m∠ACD = 68°
Step-by-step explanation:
From inspection of the given diagram:
m∠FDC = 124°m∠EAB = 2xm∠ACG = 4xVertical Angle Theorem
When two straight lines intersect, the vertical angles are congruent.
⇒ m∠DAC = m∠EAB = 2x
Angles on a straight line sum to 180°:
⇒ m∠ACD + 4x = 180°
⇒ m∠ACD + 4x - 4x = 180° - 4x
⇒ m∠ACD = 180° - 4x
Exterior Angle Theorem
The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.
⇒ m∠DAC + m∠ACD = m∠FDC
⇒ 2x + (180° - 4x) = 124°
⇒ -2x + 180° = 124°
⇒ -2x + 180° - 180° = 124° - 180°
⇒ -2x = -56°
⇒ -2x ÷ -2 = -56° ÷ -2
⇒ x = 28°
To find m∠ACD, substitute the found value of x into the expression for the angle:
⇒ m∠ACD = 180° - 4x
⇒ m∠ACD = 180° - 4(28°)
⇒ m∠ACD = 180° - 112°
⇒ m∠ACD = 68°
Please help me I just want to know what is wrong with that. PLEASE
Answers
Answer:
---> --->
WS DS
Step-by-step explanation:
There are 9 apples and 24 plums in a fruit bowl. What is the ratio of plums to apples?
Answers
Answer:
24:9 or 24 to 9 or [tex]\frac{24}{9}[/tex]
Step-by-step explanation:
The amount of plums is 24. The amount of apples is 9. So to write the ratio of plums (24) to apples (9), you write 24 to 9. You can either write a colon - 24:9 - a to - 24 to 9 - or as a fraction - [tex]\frac{24}{9}[/tex]. But, you have to write it with plums first.
Hope it helps!
2x + 3 = 5, then, x=
Answers
Answer:
x= 1
Step-by-step explanation:
2x1=2+3=5
Answer:
x is equals to 1..........
HELP WILL MARK BRAINLIEST!!!
Answers
Answer:
82,300
Step-by-step explanation:
last numbers is 345
so if 350 it would go to 400
but it is under so it goes to 300.
Answer:
1. Hundred is 82,300
2. Hundreths is 82,345.57
3. Tens is 82,350
4. Tenths is 82,345.6
Step-by-step explanation:
Hope this helps you!!
5. How many solution/s do linear inequality in two variable have?
A.O
B. 1
C. 2
D. Infinite
6. Which of the following in NOT a solution of the inequality x + y 2 5,?
A. (4, 5)
B. (3, 2)
C. (1,3)
D. (5,0)
7. An inequality using a > or s has a
A.horizontal
B.broken
line.
C. solid
D. vertical
8. If y > 5 + x, where can we find the solution set?
A.above the line
C. in the line
B.below the line
D. no solution set
9. Which of the following inequalities is represented by the given
graph?
A. 2x + y > 4
C. 2x + y 4
B. 2x + y < 4
D. 2x + y 24
10. Given the graph of y = 2x - 5 below, which of the following
ordered pair is NOT part of the solution set ?
A. (2, 5)
C. (2,-7)
B. (3,1)
D. (-2,-3)
Answers
Answer:
5
C. 2
6.
A. (4, 5)
7.B.broken
line.
8.A.above the line
9.. 2x + y < 4
10.D. (-2,-3)
Answer:
5
C. 2
6.
A. (4, 5)
7.B.broken
line.
8.A.above the line
9.. 2x + y < 4
10.D. (-2,-3)
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Solve the following equation for x. Express your answer in the simplest form.
Answers
Hope this helps you
Which of these strategies would eliminate a variable in system of equations?
2x+3y=-5
2x-3y=10
A.add the equations.
B.subtract the bottom equation from the bottom equation.
C.multiply the top equation by 2,then add the equations.
Answers
Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.
Step-by-step explanation: the strat would eliminate a variable in this system
A circle is drawn inside a square so its circumference touches each of the four sides of the
square. If the area of the circle is 125.8cm2 calculate the length of the sides of the square.
Answers
Answer:
12.66 cm
Step-by-step explanation:
Area of the circle = 125.8 Sq cm
[tex] \therefore \: \pi {r}^{2} = 125.8 \\ \\ \therefore \: 3.14 \times {r}^{2} = 125.8 \\ \\ {r}^{2} = \frac{125.8}{3.14} \\ \\ {r}^{2} = 40.0636943 \\ \\ {r} = \sqrt{40.0636943} \\ \\ r = 6.32958879 \\ \\ r \approx \: 6.33 \: cm \\ \\ d \: = 2r \\ \\ d = 2 \times 6.33 \\ \\ d = 12.66 \: cm \\ [/tex]
Diameter of the circle = 12.66 cm
Since, circumference of the circle touches each of the four sides of the square.
So, length of the sides of the square
= diameter of the circle.
= 12.66 cm
What does A represent in "BA+AB+AB+CAA"
Answers
Answer:
that looks hard sorry i cant help you good luk .
Ana ran 12.5 miles on week one of her training. On week two she ran 5 6/8 miles. How many more miles did she run on week 1 than week 2?
A. 7 5/6
B. 7 1/4
C. 17 7/10
D. 17 6/16
Answers
Answer: C
Step-by-step explanation: My first time sorry if I am wrong
The mass of a car is 1000 kg. How much force would be required to accelerate the car at a rate of 5 m/sec^2 ?
Answers
Answer:
5000 N
Step-by-step explanation:
Given:
Mass m = 1000 kg
Acceleration a = 5 m/s^2
Force F =?
By Newton's first law of motion:
F = ma
F = 1000 * 5
F = 5000 N
(N = Newton, unit of force is Newton and is written as N. )
-3(1+6r)=14-r
in class need help
Answers
Answer:
r = -1
Step-by-step explanation:
-3(1+6r)=14-r
Distribute the -3
-3*1 -3*6r = 14-r
-3 -18r = 14 -r
Add 18r to each side
-3-18r+18r = 14-r+18r
-3 = 14+17r
Subtract 14 from each side
-3-14 = 14+17t-14
-17 = 17r
Divide by 17
-17/17 = -17r/-17
-1 =r
please help due today
Answers
Answer:
No they don't (unless I messed up)
Step-by-step explanation:
([{3x=9} 2]=81) - ([{x=3}+1]=4) =77
([{2x=10} 2]=100) + {[(2x=25)-4]=21} = 79
Hiiioo Can someone please help me
Question: ABCD is a rhombus. It has vertices located at A(10,6), B(7,2) and C(7,7). What are the coordinates of vertex D?
A. (10,3)
B. (10,11)
C.(10,7)
D. (10,-1)
Answers
Lincoln has dimes and y quarters. He has no more than 24 coins worth at least $3.50 combined. Solve this system of inequalities graphically and determine one possible solution
Answers
Answer:
let's define:
x = number of dimes
y = number of quarters.
Then the total amount of money that he has is:
x*$0.10 + y*$0.25
Now we know that:
"He has no more than 24 coins"
Then:
x + y ≤ 24
"...worth at least $3.50 combined"
x*$0.10 + y*$0.25 ≥ $3.50
Then we have two inequalities:
x + y ≤ 24
x*$0.10 + y*$0.25 ≥ $3.50
To graph these, it is easier to write them as linear equations in the slope-intercept form.
Then we need to isolate the y-variable in both equations.
we will get:
y ≤ 24 - x
y ≥ $3.50/$0.25 - x*$0.10/$0.25
In the first equation we have:
"y is smaller or equal than the line"
Then this is graphed with a solid line, and we shade all the region below the line
For the second equation, we have the inverse case, then it will be graphed with a solid line and we need to shade all the region above the line.
The solutions for the system will be all these values that are in both shaded regions.
The graph can be seen below.
In the graph, we can see that one acceptable solution can be:
x = 5
y = 15
or
x = 6
y = 16
The only other restriction we should add is:
x ≥ 0
y ≥ 0
Because Lincoln can not have a negative number of coins, so we can only find solutions in the first quadrant.
A jacket with an original price of $40.50 discounted by 10%. What is the sale price?
Answers
Answer:
36.45
Step-by-step explanation:
40.50* 0.10 =4.05
40.5-4.05=36.45
Please help... answer a b c and d
Answers
b: it means each person costs 3.90
c and d i don’t understand what they’re trying to get to i’m sorry
What is the student's error?
Answers
Answer:
Two x's can have the same y, but an x cannot have different y's. For example, [(2,3)(-2,4)(3,3)(5,18)] is a function because all of the x's have a specific y, and there is not more than one y to an x. However, [(2,3)(-3,7)(2,-4)] is not a function because one of the x's has more than one y.
Step-by-step explanation:
(hope this helps-you can just put the first sentence...the rest is kinda wordy :P)
When Kenji drove to work, the temperature in town
was 40°F. When he came home, the temperature was
58°F. Which equation can be used to find t, the change
in temperature?
Answers
Answer: 40 + t =58
I just did the problem and the other ones don’t make sense
1. Mrs. Gonzalez signed up to bring two dozen cupcakes for the school bake sale. She made one dozen, but her children ate three of the cupcakes. What expression used to determine, .c the number of cupcakes Mrs. Gonzalez needs to bake?
Answers
Answer:
4
Step-by-step explanation:
It is half of 8
A dozen is 12 if there's 2 that's 24 cakes
If they ate 3 now it's 21
Decide that by 3 now it is 8
what is the answer to the question -6=n+5n
Answers
Answer:
-1=n I believe would be the answer.
5 is not more than x
Answers
Answer:
well we don't don't know...because x is unknown
Answer:
There no problem but 5<=x in equation form
Step-by-step explanation:
That way because x can either be five or higher
A pie crust recipe calls for 2 cups of butter for each 3 cups of flour. Elliette is making enough crust to use up 8 cups of flour. How many cups of butter will she need?