Which reason is missing in step 2?
CPCTC
definition of supplementary angles
triangle parts relationship theorem
O triangle angle sum theorem
Answers
ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .
What are Similar Triangles?Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.
Given,
m∠H = 30°
m∠J=50°
m∠P=50°
m∠N=100°
In triangle ΔHKJ
m∠H = 30°
m∠J=50°
m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)
m∠K= 100°
In ΔHKJ and ΔLNP,
m∠J = m∠P= 50°
m∠K= m∠N= 100°
According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.
Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.
Hence, ΔHKJ ~ ΔLNP
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Related Questions
Help me with this pls :')
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3 in and a height of 8 in. Using the equation below, how much water should Mary pour into the vase?
The volume of a cylinder with height h and radius r is given by the formula:
V = πr²h
Answers
Answer:
150.796 in³ of water
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Volume of a Cylinder: V = πr²hStep-by-step explanation:
Step 1: Define
Radius r = 3 in
Height h = 8 in
Step 2: Find Volume V
Substitute [VC]: V = π(3 in)²(8 in)Exponents: V = π(9 in²)(8 in)Multiply: V = 72π in³Multiply: V = 226.195 in³Step 3: Find Water
2/3 of vase should be filled with H₂O.
Set up: 2/3(72π in³)Multiply: 48π in³Evaluate: 150.796 in³Answer:
We know the formula for the volume of a cylinder is V=πr^2has given.
That said, we can plug our values in.
V=π3^2(8)
Simplify.
V=π9*8
V=72π
It needs 72π cubic inches of water.
This is also equivalent to around 226.19 cubic inches of water.
Step-by-step explanation:
hope this helps
Please help me out- ;-;
A right triangle has legs of lengths a and b, and hypotenuse of length c. According to the Pythagorean Theorem, which of the following is true?
A.) (a + b)^2 = c^2
B.) a^2 – b^2= c^2
C.) a^2 + b^2= c^2
D.) a^2 = b^2 + c^2
Answers
Answer:
C
Step-by-step explanation:
It is C. because it is the formula for Pythagorean theorem.
Heather paid $2,022.30 for a computer. If the price paid includes a 7% sales tax, which of the following equations can be used to determine the price of the computer after tax? (Let x represent the cost of the computer and y represent the total cost after tax.)
Answers
Answer:
The equation should be
2,022.30 x .07= x
X+2022.30= final sale price
Step-by-step explanation:
A large bucket holds 5 gallons of water, which is about the same as 19 liters of water. A small bucket holds 2 gallons of water. About how many liters does it hold? Show all of your work.
Answers
Answer: It will hold 7.6 Litres
Step-by-step explanation:
Step 1
We know that Converting Gallons to Litres, we have that
I gallon = 3.78541
So from the question
A large bucket = 5gallons which in Litres became
5 x 3.78541=18.927 rounded up to 19litres.
-- Also IF 5 Gallons = 19 Litres
Then 1 Gallon = 19/5= 3.8 Litres
Step 2
IF large bucket of 5 gallons = 19 Litres ,
A small bucket of 2 gallons of water = 2 x 19/5= 38/5 =7.6 Litres
if the length of two sides of a triangle are 7 and 10 the length of the third side may be
A. 1
B.3
C.2
D.4
explain
Answers
Answer:
D. 4
Step-by-step explanation:
Let's look at all the options first. All of the options are below 7 and 10, hence we can deduce that it is not the hypotenuse. Looking at 7 and 10, we see that 10 is the larger number, and hence we know that 10 is the hypotenuse.
Hence, as the other two sides added up in a triangle must be larger than the hypotenuse, the only available option is 4, since 4 + 7 = 11 > 10.
Hope this helped!
The ratio of girls to boys at a party is 25:15. Write this as simply as possible.
Answers
explanation: you have to find the least common denominator of the two numbers. to do that you must think “can both these numbers be divided by 2? 3? 4?” and so on. you will find that 5 is the least common denominator, so you divide both numbers by 5 and end up with the simplest form which is “5:3”
The required simple ratio of the given ratio of girls to boys at a party is 5 : 3.
Given that,
The ratio of girls to boys at a party is 25:15. To write this as simple.
In mathematics, it deals with numbers of operations according to the statements.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The ratio of girls to boys at a party is 25:15,
= 25 / 15 implies there are 25 girls over 15 boys in the school party,
= 5 * 5 / 5 *3
= 5 / 3 it implies there are 5 girls over 3 boys in the school party.
Thus, the required simple ratio of the given ratio of girls to boys at a party is 5 : 3.
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please help i have to get this all done by tommorw
Answers
In a unit circle, ø= 90°. Identify the terminal point and sin Ø.
A. Terminal point: (0,1); sin ø= 1
B. Terminal point: (1,0); sin ø=0 C. Terminal point: (1, 0); sin ø=1
D. Terminal point: (0,1); sin ø=0
Answers
Answer:
Terminal point: (0, 1); sinФ = 1 ⇒ A
Step-by-step explanation:
In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.
The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1In a unit circle
∵ Ф = 90°
→ By using the 2nd rule above
∴ The terminal point is (0, 1)
∴ sinФ = 1
∴ Terminal point: (0, 1); sinФ = 1
8. A school raffle sold 480 tickets. Students were charged $1/ticket and teachers $5/ticket. The total receipts were $560. How many of each ticket were sold? 9. An airplane travels 5432 km. On the outward trip it took 7 hours with the wind. On the return trip, it took 8 hours against the wind. What was the speed of the plane and the speed of the wind? (Remember: distance = speed x time)
Answers
Answer:
8. Number of student tickets = 460
Number of teacher tickets = 100
9. Speed of plane = 727.5 km/hr
Speed of wind = 48.5 km/hr
Step-by-step explanation:
8.
Let number of students' tickets = [tex]x[/tex]
Let number of teachers' tickets = [tex]y[/tex]
Total number of tickets = 480
[tex]x+y=480[/tex] ...... (1)
Price for one student's ticket = $1
Price for one teacher's ticket = $5
Total money collected by the tickets = $560
[tex]x +5y = 560[/tex] ...... (2)
Subtracting (1) from (2):
[tex]4y = 80\\\Rightarrow y = 20[/tex]
By equation (1):
[tex]x = 460[/tex]
Number of student tickets = 460
Number of teacher tickets = 100
9.
Let the speed of airplane in still air = [tex]u[/tex] km/hr
Let the speed of air = [tex]v[/tex] km/hr
Total distance = 5432 km
Time taken with the wind = 7 hours.
Speed with the wind = [tex]u+v[/tex] km/h
Time taken against the wind = 8 hours.
Speed with the wind = [tex]u-v[/tex] km/h
Using the formula:
Distance = Speed [tex]\times[/tex] Time
[tex]5432 = (u+v)\times 7\\\Rightarrow u +v = 776 .... (1)[/tex]
[tex]5432 = (u-v)\times 8\\\Rightarrow u - v = 679 .... (2)[/tex]
Adding (1) and (2):
[tex]2u = 1455\\\Rightarrow u = 727.5\ km/hr[/tex]
By equation (1):
[tex]v = 48.5\ km/hr[/tex]
Speed of plane = 727.5 km/hr
Speed of wind = 48.5 km/hr
can someone help me ? ☝️
Answers
Sophia scored 92% in a math test. If the test had 50 questions, how many did she get right? *
Answers
Answer:
46 questions correct
Step-by-step explanation:
100% = 50 questions2% = 1 question92% = 46 questionsill help just cal me MAMAS
Answers
Answer:
Bet
Step-by-step explanation:
...........................
Answers
Hope this helps
Fluffy bunny ate 1/2 of a carrot in the morning by the end of the day he started 2/5 of how much of the Caribbean fluffy eat at night
Answers
Answer: I think it’s 0.1 or 1/10 but I’m kinda confused
Step-by-step explanation: someone pls correct me if I’m wrong
1/2 is 0.5
2/5 is 0.4
0.5-0.4=0.1
0.1=1/10
1/10 of carrot, fluffy will eat at night.
What is fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator, below one is called denominator
Given,
Fluffy bunny ate 1/2 of a carrot in the morning
By the end of the day he ate 2/5 of left carrot = 2/5
Whole carrot can be considered as 1.
Carrot left after eating 1/2 of it in the morning
= 1 - 1/2
= 1/2
Carrot left after eating 2/5 part
= 1/2 - 2/5
= (5 - 4)/10
= 1/10
Hence, fluffy ate 1/10 of carrot at night.
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Please help me! Brainliest + 15 pts!
A piano tuner charges $63 for 1.5 hours of work. Which proportion can be used to find x, the number of dollars the Piano tuner charges for 4 hours of work?
A: x/4 = 1.5/63
B: x/63 = 3.5/2.5
C: x/63 = 1.5/4
D: x/4 = 63/1.5
Please answer correctly and thanks! :)
Answers
Answer:
I think it is D , but if it not plz forgive me
Answer:
d
Step-by-step explanation:
Classify the special quadrilateral.
Answers
Answer: Rhombus
=====================================================
Explanation:
The tickmarks show that all four sides are the same length. Therefore, this figure is a rhombus. It is not a square because the angle would need to be 90 degrees. We can say it is a non-square rhombus, or a rhombus that isn't a square. It is also not a rectangle either because all rectangles have each angle at 90 degrees.
Cassie needs at least $140 to buy a graphing calculator for math class. Currently she has $30 saved and her neighbor tells her she can babysit and earn $10 an hour. What is the minimum number of hours Cassie will need to babysit in order to have enough money to buy the calculator?
The equation needs to have a inequality not a equal sign with work. Please help
Answers
Answer:
11
Step-by-step explanation:
140 - 30 =110
110 ÷ 10 = 11
answer is 11 hours
Which of the following functions best describes this graph?
A. y = (x-1)(x+3)
B. y =x^2-x+5
C. y = (x+1)(x+1)
D. y=x^2-5x+6
Answers
Derek has 4.8 pounds of potting soil he puts equal emounts in 8 pots how many pounds of potting soil are in each pot
Answers
Answer:
0.6g
Step-by-step explanation:
Derek has 4.8 pounds of potting soil
He shares it equally into 8 pots
Therefore the amount in each pots can be calculated as follows
= 4.8/8
= 0.6
Hence there are 0.6g in each pots
Answer:0.6
Step-by-step explanation:
Given: bisects ∠MRQ; ∠RMS ≅ ∠RQS
Triangles R M S and R Q S share side R S. Point N is on line R S. Lines are drawn from point M to point N and from point Q to point N. Angles M R S and S R Q are congruent.
Which relationship in the diagram is true?
ΔMNR ≅ ΔMNS by ASA
ΔRMS ≅ ΔRQS by AAS
ΔSNQ ≅ ΔSNM by SSS
ΔQNR ≅ ΔMNR by HL
Answers
Answer:
B. ΔRMS ≅ ΔRQS by AAS
I just took the test :)
Answer:B
Step-by-step explanation:just took the test
An isosceles triangle has an angle that measures 50° Which other angles could be in that
isosceles triangle? Choose all that apply
Answers
Step-by-step explanation:
well I don't know what the answer choices are but here's some information that could help.
all of the angles in a triangle have to add up to 180°
and isosceles triangles have at least two sides that are congruent. This also means that at least two angles have to be congruent
based on this there could be two angles that measure 50° and the last angle would measure 80°
or one angle could measure 50° and the other two angles each measure 65 degrees
just ask if you need more information
Find the cost price of the following
Selling price: 55$, Profit 10%
Answers
Step-by-step explanation:
If cost price = A $
110/100 × A = 55
A = 55 × 100/110
= 50 $
Cost price 50 $
The value of a correlation coefficient, r, is 0.9841. What does the value of the correlation coefficient indicate? Group of answer choices There is weak or no correlation between Yumiko's exercise time and how far she runs. There is a causal relationship between Yumiko's exercise time and how far she runs. There is a strong positive correlation between Yumiko's exercise time and how far she runs. There is a strong negative correlation between Yumiko's exercise time and how far she runs.
Answers
Answer: There is a strong positive correlation between Yumiko's exercise time and how far she runs.
Step-by-step explanation:
The correlation Coefficient value measures the relationship between two variables in other it determine the strength of association between them. The Coefficient could take any value between - 1 to + 1 with negative r values depiction negative relationships while positive values means positive relationship. The closer the r value is to either 1 or - 1, the stronger the relationship between hen m
A 32-ounce package of a snack mix is 24 percent pretzels. How many ounces are pretzels?
0.706 ounces
0.768 ounces
7.06 ounces
7.68 ounces
Answers
Answer:
the correct answer is choice D. if 24 precent of the snack mix is pretzels we simply need to multiply the total number of ounces by 0.24 7.68 ounces of the snack mix will be pretzels
D. 7.68 ounces
Explanation:
What we know:
- the snack mix is 32 ounces
- 24% of the snack mix is pretzels
To find the ounces of pretzels, find 24% of 32 ounces by multiplying them.
24% = 0.24 as a decimal
0.24*32=7.68
Therefore, 7.68 ounces are pretzels.
I hope this helps!
The following exchange rate is given £1 = 1.15 euros. Convert €7 into euros
euros
Answers
Answer:
7.
Step-by-step explanation:
The number given in the question €7 is already in euros. Therefore, there is no need to convert into euros again, as it's already in euros.
~
Answer:
2
Step-by-step explanation:
The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in the lake. What is the population this year?
Answers
Answer:
This population, the population is 45 fish.
Step-by-step explanation:
This problem can be solved by a rule of three.
Last year there were 60 fish in the lake. That was 100, that is, decimal 1.
This year it decreased 25%. So there 100%-25% = 75%, that is decimal 0.75. So
60 fish - 1
x fish - 0.75
x= 60*0.75
x=45
This population, the population is 45 fish. Please make the brainliest.
60-25% of 60 =number of fish this year
60-25/100 x 60
60-15
45 fish are present in the lake
Prove that 3+2 root 3 is irrational
Answers
Answer:
Hi friend,
Let 3+2√3 is a rational number.
A rational number can be written in the form of p/q.
3+2√3=p/q
√3=p/2q-3
√3=p-6q/2q
p,q are integers then (p-6q)/2q is a rational number.
But this contradicts the fact that √3 is an irrational number.
So,our statement supposed is false.
Therefore,3+2√3 is an irrational number.
Step-by-step explanation:
Answer:
in the explanation
Step-by-step explanation:
The sqrt of 3 is irrational. Any rational number multiplied or divided with an irrational number is also irrational (2 root 3). It's the same for addition and subtraction, any rational number added or subtracted from an irrational number is also irrational (2 + root 2).
Hope this helps!
Can someone help me answer these 3 questions please
Answers
Answer:
1,NO
2,Just divide the square rooted number with the numbers that square it.
3,Negative
Answer:
1,no
2,by the same word multiplying and the get square root of a number
3,negative
What is the slope given: y= -x + 5
Options:
1
5
-1
0
Answers
Answer:
5
Step-by-step explanation:
QUESTION: find the perimeter
Answers
Answer:
4g + 4
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Length = 0.7g + 2
Width = 1.3g
Plug in the values into the equation
Perimeter = 2(0.7g + 2 + 1.3g)
Perimeter = 2(0.7g + 1.3g + 2)
Perimeter = 2(2g + 2)
= 2*2g + 2*2
Perimeter = 4g + 4
