Answers
Answer:
m<GKH + m<HKI = 180; m<HKI + m<IKJ = 180 - Angles forming a linear pair sum to 180
m<GKH + m<HKI = m<HKI + m<IKJ - Subsitution
m<GKH = m<IKJ - Algebra
<GKH ≅ <IKJ - Definition of congruence
Step-by-step explanation:
Angles that form a linear pair are supplementary because together they make a straight line. So, they must sum to 180.
In statement 2, m<HKI + m<IKJ replaces 180 degrees. This is allowed because m<HKI + m<IKJ is equivalent to 180 degrees, so it can be substituted.
In statement 3, m<HKI is subtracted from both sides. This is allowed through the property of equality, which is a part of algebra.
The definition of congruency is that two shapes that are equal are congruent. So if m<GKH = m<IKJ, then they must be congruent as well.
Related Questions
If 120 L of an acid solution is 75% acid, how much pure acid is there
in the mixture?
Answers
Answer:
25% or 30L
Step-by-step explanation:
100% is 120L, we know 75% is acid, we need the other 25% to make the 100%. 25% of 120 is 30, so 30 liters is pure acid
PLZ HELP :(
The area of the green square is 9 ft. The area of the red square is 16 ft?
What is the length of side c?
A)5 ft
B)25 ft
C)81 ft
D)128 ft
Answers
Answer:
A) c = 5 ft
Step-by-step explanation:
a = 3
b = 4
3^2+4^2 = c^2
c^2 = 9+26 = 25
c = 5
Answer:
B
Step-by-step explanation:
Unfortunately, I dont really have a explanation for this besides yellow square is larger than both red and green, so using judging by the answers, it has to be B.
A student had $16.08 in his lunch account on Monday. By the end of the day on Thursday, he had spent $11.25. How much money was left in his lunch account to use for Friday? *( wrong answers only)
Answers
420.69
Step-by-step explanation:
He lunch was fire
40 POINTS PLS HELP I WILL ALSO GIVE BRAINLY (ANSWER THE BOXES ON BOTTOM RIGHT)
Answers
Answer: See explanation
Step-by-step explanation:
ΔLNM and ΔLKN are 30°- 60°- 90° triangles
We have to find the length of LN before we can find the length of MN.
In a 30°- 60°- 90° triangle, the length of the hypotenuse is 2 times the length of the shorter leg, and the length of the longer leg is the length of the shorter leg times √3
Since the hypotenuse is 6, the short leg would be 3 since the hypotenuse is 2 times the length of the short leg.
LN = √3 times the shorter leg
3 × √3 = 3√3
LN = 3√3
We now know the length of the longer leg in ΔLNM (3√3)
MN would be 3√3 × √3
3√3 × √3
= 3√9
= 3 × 3 = 9
MN = 9
ΔLKM is also a 30° - 60° - 90° triangle
The short leg is 6 m
The hypotenuse would be 12 m
The longer leg would be 6√3
Perimeter: 6 + 12 + 6√3
The perimeter is 18 + 6√3
Area: 1/2 × b × h
b = 6√3
h = LN = 3√3
6√3 × 3√3
18√9 = 18 × 3 = 54
Area: 54 m²
Hope it helps!!
If a friend is struggling with factoring. Explain the process to factor 3xsquare-5x-12
Answers
Answer:
Factor 3x2−5x−12
3x2−5x−12
=(3x+4)(x−3)
Answer:
(3x+4)(x−3)
Chcies needs a cabeat is 11 inches long the cable costs $1.20 per centimeter how such would be pas for the table Shehu
set up the calcuno sales problem
Answers
Answer:
1.20 times 11. I hope it helped!
What are the advantages and disadvantages of bar chart
Answers
Answer:
Advantages:
● Bar charts are pretty easy to interpret, and there's a very clear relationship between size and value that allows easy comparison.
● They're simple to make and most people have experience creating and understanding them from school.
● They can help in presenting very large or very small values more emphatically.
Disadvantages:
● Bar charts that attempt to represent wide ranges of numbers will struggle to efficiently communicate their message. For example, a bar chart for the numbers 5, 6, 10 and 378 will lend extreme visual weight to the highest value and make the relative values of the other measurements appear irrelevant. An alternative to this would be creating an adjusting scale for the bars, but this complicates the visual aspect of the presentation and breaks the intuitive sense that size correlates directly to value.
● Bar graphs tend to be locked into a particular data set, making it hard to show multiple values or changes over time unless the chart is modified, such as by making the bars layered and three-dimensional.
I hope it's helpful!
Answer:
Advantages:
Bar charts are pretty easy to interpret, and there's a very clear relationship between size and value that allows easy comparison.They're simple to make and most people have experience creating and understanding them from school.They can help in presenting very large or very small values more emphatically.Disadvantages:
Bar charts that attempt to represent wide ranges of numbers will struggle to efficiently communicate their message. For example, a bar chart for the numbers 5, 6, 10 and 378 will lend extreme visual weight to the highest value and make the relative values of the other measurements appear irrelevant. An alternative to this would be creating an adjusting scale for the bars, but this complicates the visual aspect of the presentation and breaks the intuitive sense that size correlates directly to value. Bar graphs tend to be locked into a particular data set, making it hard to show multiple values or changes over time unless the chart is modified, such as by making the bars layered and three-dimensionalWhich is a better measure of spread: range or interquartile range? Why?
Answers
The interquartile range is a better measure of spread because, The interquartile range is often seen as a better measure of spread than the range as it is not affected by outliers.
hope it helps.
have a good day.
Answer:
She's correct
Step-by-step explanation:
EDG 2021
If a values is to the left it is...
Answers
Answer:
..
Step-by-step explanation:
what?
The length of a diagonal of a square is 18√2 inches. Find the perimeter of the square.
Answers
A diagonal of a square is defined, [tex]d=a\sqrt{2}[/tex] where a is side of the square. Solve for a to get [tex]a=\frac{d}{\sqrt{2}}[/tex].
Now multiply a by 4 since that is the definition of a perimeter,
[tex]P=4a=4\cdot\frac{18\sqrt{2}}{\sqrt{2}}=4\cdot18=\boxed{72}[/tex].
Hope this helps.
for each sequence find the first 4 terms and the 10th term
Answers
Answer:For these, n is equal to the term you want. So you substitute the number in for whichever term you want. This means:
a) 1 (1st term) + 5 = 6
2 (2nd term) + 5 = 7
3 (3rd term) + 5 = 8
4 (4th term) + 5 = 9
10 (10th term) + 5 = 15
And so on for b (not going to keep writing the term, I’m sure you get that by now.
b) 2(1) - 1 = (2x1) - 1 = 1
2(2) - 1 = (2x2) - 1 = 3
2(3) - 1 = (2x3) - 1 = 5
2(4) - 1 = (2x4) - 1 = 7
2(10) - 1 = (2x10) - 1 = 19
Hope this helps :)
7x +4 what property is it
Answers
Answer:
commutative property of multiplication
Step-by-step explanation:
Please help for brainliest.
Answers
Answer:
not sure but I think it's B... I'm so sorry if it's wrong!
Step-by-step explanation:
Nice to meet you❤️
Which lines are parallel to 8x + 2y = 7? Select all that apply.
Answers
Answer:
9x+2y=7 hear something
Step-by-step explanation:
Fill in the blank
4+ (-15)=
Answers
Answer:
-11
Step-by-step explanation:
4+(-15)=
-11
Which of the following are solutions to the cubic equation x^3+4x^2+4x=0
X=2i, x=-2i, x=0, x=2, x=2
Answers
Answer:
337285
Step-by-step explanation:
In a particular region, for families with a combined income of $57,000 or more, 12% have no children, 37% have one child, 43% have two children, and 8% have three children. Use this information to construct the probability distribution for X, where x represents the number of children per family for this income group. Arrange x in increasing order and write the probabilities P(x) as decimals.
Answers
Answer:
P(X = 0) = 0.12.
P(X = 1) = 0.37.
P(X = 2) = 0.43.
P(X = 3) = 0.08
Step-by-step explanation:
12% have no children
This means that P(X = 0) = 0.12.
37% have one child
This means that P(X = 1) = 0.37.
43% have two children
This means that P(X = 2) = 0.43.
8% have three children.
This means that P(X = 3) = 0.08
(4m+2)+(5b+9)=
I will give the brainiest for the first answer!
Answers
What are the benefits of online note-taking tools?
Answers
Answer:
They teach students note-taking skills. They give students the answers for tests. They provide a fast and easy way to take notes.
Step-by-step explanation:
Answer:
Its A C E its makes ace but its a c e i took it already please like this
Step-by-step explanation:
(18 POINTS) PLEASE HELP me! thanks!
Answers
Answer:
2 \frac{1}{4}
Solve each inequality and give your answers in interval notation:
|9x – 11 < 4
16x – 31 > 2
Submit Question
Answers
Answer: for |9x – 11 < 4
7/9<x<5/3
Step-by-step explanation:
interval notation:
(7/9 , 5/3)
the difference between two numbers is 308 328. if the smaller number is 6 524, what is the larger number?
Answers
I mean this one is really simple, it just seems hard. So all u have to do is this:
308,328+6,524=314,852
Now subtract to double check
314,852-308,328=6,524.
And yep it’s correct.
I hope this helped, please give brainliest if it helped
The larger number is 301804
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
The smaller number =6 524,
The difference between two numbers = 308 328
Now,
Let the missing number be x
x-6524=308328
x=308328-6524
x=301804
Therefore, the larger number of algebra will be 301804.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
look at screenshot please help
Answers
The cost of carpeting a square hall at Rs. 60 per m2 is
Rs. 2,94,000. If the cost of plastering its four walls at
Rs. 15 per m2 is Rs. 16,800, find the height of the hall.
Answers
Answer:
4 m[tex]\\[/tex]
Step-by-step explanation:
294000 / 60 = 4900 m2 is the area of the sqauresqrt{4900} = 70 m is the sqaue length (=width)16800 / 15 / 4 = 280 m2 is the area of ONE wall280 / 70 = 4 m is the wall hight
What is the measure of Angle C
A 42
B 48
C 90
D 180
Answers
A roll of gasket material is 16 in wide. What length is needed to obtain 17 sq ft of the material?
Answers
Answer:
12.14 feet
Step-by-step explanation:
16 inches = 1.4 feet
17/1.4 = 12.14 feet
Pls help due tonight. BRIANLIEST IF CORRECT. Prob easy tho.
Answers
-6 x -2 = 12
lma.oooo im just answering so u can give the first guy brainliest ^^
Use the diagram below to find x and the missing angle.
Answers
9514 1404 393
Answer:
x = 8
there is no ∠1
Step-by-step explanation:
The angle sum theorem tells you ...
∠XYW +∠WXZ = ∠XYZ
70° +(5x -4)° = 106°
5x = 40 . . . . . . . . . . . divide by °, subtract 66
x = 8 . . . . . . . . . divide by 5
∠WYZ = 36° . . . . . . . the difference between 70° and 106°
Please help me ASAP I’ll mark Brainly
Answers
Answer:
117 sorry if I'm wrong ooh this agg
Max built a new table. The table top is a rectangular piece of wood that is 3.31 meters long and 0.852 meter wide. Help pls.
Help asap thaxs
Answers
Part B 3.3 and 0.9