A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answers
The relationship between angles is:
1. m∠5 + m∠6 = 180°2. ∠ 2+ ∠ 3 = ∠ 63. m∠2 + m∠3 + m∠5 = 180° are true regarding the diagram.What is the exterior angle of a triangle?When one triangle's side is expanded, a triangle's exterior angle is created.What is the interior angle of a triangle?
The set of all points within a triangle, or all points in the convex hull of the triangle's vertices, is known as the interior of the triangle.Exterior angle Property of Triangle:
Exterior angle = Sum of Interior opposite anglesTriangle Sum Property.
In a triangle sum of the measures of angles is equal to 180°Here, we know:
We consider ΔABC with Exterior angles as.
∠ 1, ∠ 4, and ∠ 6For Exterior ∠ 1 we have:
∠ 1 = ∠ 5 + ∠3 ..... (by Exterior angle Property of Triangle)Similarly,
For Exterior ∠ 4 we have:
∠ 4 = ∠ 5 + ∠ 2 .... (by Exterior angle Property of Triangle)Similarly,
For Exterior ∠ 6 we have:
∠ 6 = ∠ 2 + ∠ 3 ... (by Exterior angle Property of Triangle)∴ m∠2 + m∠3 + m∠5 = 180° ..... (by Triangle Sum Property)A linear pair of angles must add up to 180 degrees since a straight angle has a measure of 180 degrees.
∴ m∠5 + m∠6 = 180° ... (by Linear Pair)Hence, the relationship between angles is:
1. m∠5 + m∠6 = 180°2. ∠ 2+ ∠ 3 = ∠ 63. m∠2 + m∠3 + m∠5 = 180° are true regarding the diagram.To learn more about Exterior angles from the given link
brainly.com/question/4164600
#SPJ1
Answer:
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Step-by-step explanation: took test
Related Questions
The number of dimes in Kiara's collection is 13 more than 5 times the
number of quarters in her collection. Kiara has 78 dimes in her
collection. Which equation could be used to find the number of
quarters in Kiara's collection?
78 = 13C + 5
78 = 13C-5
78 = 5C + 13
78 = 5C -13
Answers
Answer:
The number of dimes in Kiara's collection is 13 more than 5 times the
number of quarters in her collection. Kiara has 78 dimes in her
collection.
3) 78 = 5C+13is the right answer.
e : f = 2 : 3 and f : g = 7 : 8 Work out e : g Give your answer in its simplest form.
Answers
Answer:
e : g = 7:9
Step-by-step explanation:
Given:
e : f = 2 : 3
f : g = 7 : 8
Find:
e : g
Computation:
(e/f) x (f/g) = (2/3)(7/8)
e/g = 7/9
e : g = 7:9
What is the distance between (1, –4) and (1, 18)?
2 units
5 units
19 units
22 units
Answers
Answer:
22 units
Step-by-step explanation:
-4 to 18 is 24 jumps not 14. Remember
Answer:
its D) 22 units
Step-by-step explanation:
i took the test
Figure ABCD is a parallelogram. Is it also a rhombus? why or why not?
Answers
Answer:
D!
Step-by-step explanation:
cos2x + sin^2x =
A. 1 - sin^2x
B. 1
C. 3sin^2x - 1
Answers
\( \cos(2x) + {sin}^{2}(x) = \)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\( \cos(2x) = {cos}^{2}(x) - {sin}^{2}(x) \)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\( {cos}^{2}(x) - {sin}^{2}(x) + {sin}^{2}(x) = \\ \)
\( {cos}^{2}(x) = 1 - {sin}^{2}(x) \)
Thus the correct answer is (( A )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
cos2x + sin^2x =1-2sin²x+sin²x=1-sin²x
so
your answer is:A. 1 - sin^2x
Jerrica and her brother like to play chess. About a month ago they decided to keep track of how manygames they have won. As of today, Jerrica has won 20 out of the 35 games against her brother.
a. How many games would Jerrica have to win in a row in order to have an 80% winning record?
Justify your answer.
Answers
Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.
To determine how many games Jerrica would have to win in a row in order to have an 80% winning record, we need to calculate the number of games she needs to win out of a certain total.
Let's denote the number of games she needs to win in a row as x. If she wins x additional games, her total wins would be 20 + x, and her total games played would be 35 + x.
To have an 80% winning record, she would need to win 80% of the total games played. Mathematically, this can be expressed as:
(20 + x) / (35 + x) = 80 / 100
Cross-multiplying, we get:
100(20 + x) = 80(35 + x)
Expanding and simplifying:
2000 + 100x = 2800 + 80x
Subtracting 80x from both sides:
20x = 800
Dividing by 20:
x = 40
Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.
For more such questions on total wins
https://brainly.com/question/29165018
#SPJ8
Adam is 9 years old and Billy is 11 years old. What will be the ratio of Adams’ age to Billy’s age in exactly one year’s time? Give your answer in its simplest form. *
Answers
Answer:
10 / 12
simplified:
5/6
since 5 is a prime number, we can't simplify this ratio any further
A bag of marbles has 12 green marbles, 5 red marbles, 8 blue marbles and 7 yellow marbles. What is the probability of randomly selecting a blue marble?
Answers
Probability = # of desired options / # of total options
Our desired option is blue and there are 9 blue marbles in the bag.
There are 32 total marbles (options) in the bag.
P(blue) = 9 / 32 = 0.28125 = 28.125%
Hope this helps!
A scientist collected 75 water samples from local streams. Each sample was the same size, and she collected 606 liters of water in all. What was the volume of each water sample?
Answers
8.08 liters.
To find the volume of each water sample, we need to divide the total volume of water collected by the number of samples collected.
Volume of each water sample = Total volume of water collected / Number of samples collected
We are given that the total volume of water collected is 606 liters, and the number of samples collected is 75.
Volume of each water sample = 606 / 75
Volume of each water sample = 8.08 liters
Therefore, the volume of each water sample is 8.08 liters.
What is the area of the triangle?
11 cm
10 cm height
5 cm
Answers
Answer:
10 it's right answer
Step-by-step explanation:
CORRECT ME IF IM WRONG
:)
Someone help me with this ASAPPPPP thank you
Answers
Hi
positive and non linear.
Positive because the more you go on the right, the more you go up.
Non linear as we see that the slope become stiffer. If it were linear, there would have been non change if pattern. The progression would have been regular and steady
The correct answer is "There is a positive nonlinear association".
Why positive?The association is positive because as the value of x increases, the y value does as well. A negative association would be that the x value increases and the y value decreases.
Why nonlinear?
As you can tell from looking at the graphic, all points together don't form an straight line. Hence, it's a ninlinear graph.
Use the given conditions to write an equation for the line in the indicated form.
Passing through (2, 2) and perpendicular to the line whose equation is y = 4x + 7;
point-slope form
A)y=-4x-10
B)y-2=-1/4(x-2)
C)y-2=1/4(x+2)
D)y-2=1/4(x-2)
Answers
Answer:
B) y - 2 = (-1/4)(x - 2)
Step-by-step explanation:
Start with the equation of the given line: y = 4x + 7.
Determine the slope of the given line, which is 4.
Since the perpendicular line has a negative reciprocal slope, the perpendicular line's slope is -1/4.
Use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.
Substitute the values x₁ = 2 and y₁ = 2 into the point-slope equation: y - 2 = (-1/4)(x - 2).
Simplify by distributing -1/4 to (x - 2): y - 2 = (-1/4)x + 1/2.
Add 2 to both sides to isolate y: y = (-1/4)x + 1/2 + 2.
Simplify further: y = (-1/4)x + 5/2.
The equation in point-slope form for the line passing through (2, 2) and perpendicular to y = 4x + 7 is y - 2 = (-1/4)(x - 2), which matches option B.
MA.7.DP.1.4
A group of friends has been given $800 to host a party. They must decide how much money
will be spent on food, drinks, paper products, music and decorations.
Part A. As a group, develop two options for the friends to choose from regarding how to
spend their money. Decide how much to spend in each area and create a circle
graph for each option to represent your choices.
Part B. Mikel presented the circle graph below with his recommendations on how to
spend the money. How much did he choose to spend on food and drinks? How
much did he choose to spend on music?
Party Spending Proposal
Mail
17%
Paper Products
Answers
Answer: $130 money did Brenda and Hazel have all together before buying decorations and snacks.
Here, we have,
You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.
Setup
Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...
(x/2 -58) : (x/2 -37) = 1 : 4
Solution
Cross-multiplying gives ...
4(x/2 -58) = (x/2 -37)
2x -232 = x/2 -37 . . . . . . eliminate parentheses
3/2x = 195 . . . . . . . . . . . . add 232-x/2
x = (2/3)(195) = 130 . . . . . multiply by 2/3
Brenda and Hazel had $130 altogether before their purchases.
Alternate solution
The difference in their spending is $58 -37 = $21.
This is the same as the difference in their final balances.
That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.
Their ending total is 1+4 = 5 ratio units, or $35.
The total they started with is $58 +37 +35 = $130.
To earn more on addition click:
brainly.com/question/29560851
#SPJ1
complete question:
Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?
Identity the property of equality that was used for each step
Addition property
Subtraction property
Multiplication property
Division property
Transitive property
Symmetric property
Substitution property
Reflexive property
Distributive property
Answers
The property of equality that are used in each step is:
What is meant by Division property?According to the division property of equality, if both sides of an equation are divided by a common real integer that is not equal to zero, the quotients remain equal. The formula for this is as follows: If a, b, and c are real numbers, with a = b and c 0 respectively, then a c = b c.
Have you ever wondered what rules you have to follow when dealing with inequalities? The division property of inequality is one of those laws, and it basically states that if you divide one side of an inequality by a number, you can divide the other side of the inequality by the same amount.
2((2X/5)+8)= 4(14-(X/5))
2((2X/5)+8)/2= 4(14-(X/5))/2 ---------Division property
(2x/5+8)=2(14-x/5)
((2x/5)+8)=(28-(2x/5) ---------Distributive property
(2x/5)+8+(2x/5)=28-(2x/5)+(2x/5) --------Addition property
(4x/5)+8=28
(4x/5)+8-8=28-8 ---------subtraction property
4x/5=20
(4x/5)×(5)=20×(5) ---------Multiplicative property
4x=100
4x/4=100/4 --------- Division property
x=25 ----------Symmetric property
To know more about division property, visit:
https://brainly.com/question/13130806
#SPJ1
please help me i dont understand
Answers
Answer:
multipy the length of the side by the scale factor
The grade received on a certain teacher's 100-point test varies in direct proportion to the amount of time a student spends preparing for the test. If a student receives 72 points on a test for which she spent 3 hours preparing, what score would she receive on the next test if she spent 4 hours preparing?
Answers
Answer:
She would receive 96 points
Step-by-step explanation:
The grade (Y) received on a certain teacher's 100-point test varies in direct proportion to the amount of time(t) a student spends preparing for the test.
Mathematically
Y= kt
Where k is constant of proportionality
If y= 72 and t= 3
72=k3
72/3= k
24= k
So
Y= 24t
If t= 4
Y= kt
Y= 24(4)
Y= 96
Y = 96 points
She would receive 96 points
1. A right triangle LMN is given where: side MN = 8 side NL (the hypotenuse) =
10 What is the length of side LM?*
Answers
Step-by-step explanation:
\( \underline{ \underline{ \text{Given}}} : \)
Length of MN ( Base ) = 8 Length of NL ( Hypotenuse ) = 10\( \underline{ \underline{ \text{To \: find}}} : \)
Length of LM ( Perpendicular )\( \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : \)
\( \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}\)
⤑ \( \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }\)
⤑ \( \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }\)
⤑ \( \sf{ \sqrt{100 - 64}} \)
⤑ \( \sf{ \sqrt{36}} \)
⤑ \( \boxed{ \sf{6\: units}}\)
\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}\)
Hope I helped ! ツ
Have a wonderful day / night ! ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answers
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
For more such questions on height, click on:
https://brainly.com/question/28122539
#SPJ8
Pls help I'll give brainlest
Answers
Answer:
B
Step-by-step explanation:
C and D are eliminated since those make it bigger and there are 5 zeros so the answer is B.
QUICK ITS TIMED PLS HELP QUICK!!!!!
How is the product of 3 and -2 shown using integer tiles?
Answers
Answer:
The first one . +++ --
Step-by-step explanation:
Which sentence uses a contraction incorrectly? O How's your new business venture going? O There's a guest coming over this afternoon. O We'd never do anything to hinder your progress. O I think you're graduation is a big accomplishment.
Answers
Answer:
The last one.
Step-by-step explanation:
You're means you are. The sentence: I think you are graduation is a big accomplishment., doesn't make any sense. Good luck!
Answer:
I think you’re graduation is a big accomplishment.
Step-by-step explanation:
''you're'' is an exemple of ''you are'' and thta dosnt make scense when u put it together, I think you are graduation is a big accomplisment.. it dosnt make any scense.
A 15ft. wire is tied to the top of a tree to provide support. If the wire forms a 25° angle with the ground, what is the height of the tree to the nearest hundredth?
Answers
Answer: \(6.34\ ft\)
Step-by-step explanation:
Given
The length of the wire is \(l=15\ ft\)
The Wire makes an angle of \(25^{\circ}\) with horizontal
Suppose the height of the tree is h
From the figure, we can write
\(\Rightarrow \sin 25^{\circ}=\dfrac{h}{l}\\\\\Rightarrow h=l\sin 25^{\circ}\\\Rightarrow h=15\sin 25^{\circ}\\\Rightarrow h=6.34\ ft\)
Thus, the height of the tree is \(6.34\ ft\)
Φ1 = ∬S1 (-2u^6cos(v) - 2u^3sin(v)) du dv
= ∫(0->1) ∫(0->2π) (-2u^6cos(v) - 2u^3sin(v)) dv du
Answers
\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)
2.13 Un recipiente de acero debe colocarse dentro de una excavación. Determine por trigonometría
a) la magnitud y la dirección de la fuerza P más pequeña para la cual la resultante R de las dos
fuerzas aplicadas en A sea vertical y b) la magnitud correspondiente de R.
Answers
Therefore, the force applied at point A such that the force applied is vertical is 1.84 kN. Now, let's find the magnitude of R.Corresponding magnitude of R is 3.97 m.
Given the following diagram;We need to determine the forces applied at point A such that a) the force applied is vertical and b) the corresponding magnitude of R.
For the given diagram, we can use trigonometry to find the required forces that are applied. We know that,Here, OA is the perpendicular drawn from point O on
AB.OA = OBcos(θ) = 4cos(25°) = 3.61m
Similarly, we can find the value of
OC.OC = OBsin(θ) = 4sin(25°) = 1.68m
Let's find the value of R first. We know that
R =\(\sqrt{ (OA^2 + OC^2)}R = √(3.61^2 + 1.68^2)R = 3.97m\)
Now, let's find the forces applied at point A such that the force applied is vertical. Here, the force applied is the horizontal component of the force at point A.Force at
A = OC/ OA * RForce at A = (1.68/3.61) * 3.97
Force at A = 1.84 kN (approx.)
For such more question on magnitude
https://brainly.com/question/30337362
#SPJ8
1
f(x) =1/10x-4 g(x)=1/x+2
Answers
Answer:
what do you want to find??
A line's y-intercept is -10, and its slope is 1. What is its equation in slope-intercept form?
Answers
Answer:
\(y=1x-10\)
Step-by-step explanation:
\(y=mx+b\)
m(slope) = 1
b(y-intercept) = -10
\(y=1x-10\)
✨Hope this helps✨
Two pieces of equipment were purchased for a total of $2000. If one piece cost $810 more than the other, find the price of the less expensive piece of equipment.
Answers
Answer:
595.
Step-by-step explanation:
Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.
1st Piece of Equipment = $595
2nd Piece of Equipment = $1,405
2nd Piece is $810 more expensive and the two pieces combined is $2,000.
A man flips a coin twice, and each time gets either heads (H) or tails (T). Create the sample space of possible outcomes.a.HH HT TH TTb.HH HT TTc.HT THd.HH TT HT HT
Answers
Answer:
a. HH HT TH TT
Explanation:
If a man flips a coin twice, he can get the following situations:
1. First coin head and second coin head
2. First coin head and second coin tail
3. First coin tail and second coin head
4. First coin tail and second coin tail
Therefore, if we represent heads by H and tails by T, the sample space of the possible outcomes is the representation of all the situations listed above. So, the answer is:
a.HH HT TH TT
Guests staying at Marada Inn were asked to rate the quality of their accommodations
as being excellent (E), above average (AA), average (A), below average (BA), or poor
(P). The ratings provided by a sample of 20 guests are shown below. Give the
frequencies, in order, for the frequency distribution shown.
Α ΒΑ ΑΑ E E
AA P ΒΑ ΑΑ Α
A P A BA A A E A PA
Answers
If guests staying at Marada Inn were asked to rate the quality of their accommodations as being excellent (E), above average (AA), average (A), below average (BA), or poor (P). The frequency is : 1, 8, 6, 3, 2.
FrequencyAnalysis
E = E =1
AA= AA +AA + AA + AA + AA+ AA + AA +AA = 8
A= A + A+ A+ A+ A+ A = 6
BA = BA + BA + BA =3
P = P + P =2
Hence,
Class frequency
E 1
AA 8
A 6
BA 3
P 2
Total 20
Therefore 1, 8, 6, 3, 2 is the frequency .
Learn more about frequency here: https://brainly.com/question/254161
#SPJ1
HELP SOMEONE EXPLAIN THIS PLEASE
Answers
Answer:
Entrance fee for children: $1.92
Entrance fee for adults: $3.92
Step-by-step explanation:
Total expenses for this year: $214.00
The child fee will be: $x
and the adult fee will be $(x+2)
Last year the number of children was 44
and the number of adults was 33
this year also has the same number of children and adults.
which means the entrance fee total for children will be $44x and for adults will be $33(x+2).
44x + 33(x+2) = 214
--> 44x + 33x + 66 = 214
--> 77x = 214 - 66 = 148
--> x = 148/77 = 1.92
So children's price is $1.92 and adults price is $1.92 + 2
hence:
Entrance fee for children: $1.92
Entrance fee for adults: $3.92