There are 3 ways you can prove triangles similar without having to use all sides and angles?
Answers
You can tell if they're similar if they:
1) Have two of the same angles
2) If two pairs of corresponding angles in a pair of triangles are congruent.
3) If they are the same shape
Related Questions
What is the interquartile range of this data?
6
7
8
9
Answers
8 because the begging of the box is 8 away from the end of the box
Answer:
C.8 mark me as the best
Step-by-step explanation:
n + 7 < - 3
solve the inequality
Answers
Something plus 7 is smaller than -3
So, let's go for a number that's lower than -3.
Let's try, -17
-17 + 7 = -10
-10 < -3
-10 is smaller than -3
The sides of a triangle measure 7, 4, and 9. If the longest side of a similar triangle measures 36, Determine and state the length of the shortest side of this triangle.
Answers
Step-by-step explanation:
Okay! Since these are similar figures we need to find the scale factor in order to answer this question.
We have a triangle with sides 7, 4, and 9. The longest side is 9. This corresponds with the longest side on the similar triangle, which is 36. So to find the scale factor we divide 36 by 9. The scale factor is 4.
Now to find the shortest side of the bigger triangle, we have to find the length of the shortest side on the smaller one which is 4. Since our scale factor is 4, we multiply 4 by 4 to get 16.
The length of the shortest side of the similar triangle is 16
The shortest ide is 16
2....evaluateeeeeeeeeeee
Answers
Answer:
Choice B is correct
Step-by-step explanation:
We apply the rule of exponents;
[tex]a^{-b}=\frac{1}{a^{b}}[/tex]
[tex]7^{-2}=\frac{1}{7^{2}}=\frac{1}{49}[/tex]
Which quadrilateral can have 2 pairs of parallel sides, all sides with equal length, and no right angles.
Answers
Final answer:
The quadrilateral with two pairs of parallel sides, equal side lengths, and no right angles is a rhombus. It can be thought of as a 'pushed over' square without right angles.
Explanation:
The student is asking about a type of quadrilateral that meets certain criteria: it has two pairs of parallel sides, all sides are of equal length, and it has no right angles. A rectangle is a quadrilateral with four right angles, hence it does not meet the criteria since the question specifies no right angles. Considering the traits listed, the quadrilateral in question is a rhombus. A rhombus has all sides of equal length and two pairs of parallel sides, but unlike a square, it does not necessarily have right angles. To visualize, we can think of a 'pushed over' square – if the angles are all acute or obtuse rather than right angles, it qualifies as a rhombus.
a system of equations is shown below 5x +2y =-15 2x - 2y =-6 what is the solution to the problem
Answers
Answer:
(-3, 0)
Step-by-step explanation:
Let's solve this system using the elimination by addition/subtraction method. Begin by writing the two equations one above the other:
5x +2y =-15
2x - 2y =-6
Notice that the y terms cancel each other out:
5x +2y =-15
2x - 2y =-6
------------------
7x = -21
Dividing both sides by 7 results in x = -3.
Subbing -3 for x in either of the given equations leads to finding y:
5(-3) + 2y = -15, or -15 + 2y = -15. This results in 2y = 0, or y = 0.
The solution is (-3, 0).
Using the elimination method, the solution to the system of equations is: (-7, -4)
What is the Solution to a System of Equations?Using the elimination method, the solution to the system of equations is found by adding or subtracting the equations to eliminate one variable, then substitute to find the other.
Given the system of equations:
5x + 2y = -15 --> Eqn. 1
2x - 2y = -6 --> Eqn. 2
Add
3x = -21
x = -21/3
x = -7
Substitute x = -7 into Eqn. 2.
2(-7) - 2y = -6
-14 - 2y = -6
-2y = -6 + 14
-2y = 8
y = -4
The solution is (-7, -4)
Learn more about system of equations on:
https://brainly.com/question/14323743
Factor.
8x5+4x2−12
Question 1 options:
4(2x5+x2−3)
4(2x5+4x2−12)
4x2(2x3+x−3)
Answers
Answer:
[tex]4(2x^5+x^2-3)[/tex]
Step-by-step explanation:
The question is to factorize [tex]8x^5+4x^2-12[/tex]
What is common from all 3 terms? It is the factor 4, so we take out 4 and write the remaining as "factorized form".
(Work shown below):
[tex]8x^5+4x^2-12\\=4(2x^5+x^2-3)[/tex]
First answer choice is right.
Answer:
4(2x^5+x^2−3)
Step-by-step explanation:
In other words the other guy above was correct. Picture below is the answer, also I do know that it's what you meant by this question.
Please explain hot to find length KC on the attached diagram. Thanks!
Answers
Answer:
KC=54
Step-by-step explanation:
You have the number for MU=78, HU=96
so that you can find HM=HU-MU=96-78=18
and then JH=22, JK=82 and we got HM=18
so that you can find MK=JK-JH-HM=82-22-18=42
And then MU=78,
so KU=MU-MK=78-42=36
And then CN=51, KN=105 and we just got KU=36,
so UC=KN-CN-KU=105-51-36=18
And you want to find out what's the length of KC,
KC=KU+UC=36+18=54
So your final answer is KC=54.
Answer:
The correct answer is KC = 54
Step-by-step explanation:
From the given figure we can see that,
total length JN = 82 + 105 = 187
To find the length KC
From figure we can write,
KC = Total length - (JK + CN) = JN - (JK + CN)
JN = 187
JK =82 and CN = 51
Therefore KC = 187 - (82 + 51) = 187 - 133 = 54
The correct answer is KC = 54
1/8 of the boys at a high school tried out for the football team, 1/6 tried out for the baseball team, and 1 /12 tried out for the football team and baseball team. What fraction of those who tried out for football also tried out for baseball?
A)1/12
B) 1/2
C) 1/3
D) 2/3
Answers
Answer:
D) 2/3
Step-by-step explanation:
Let x represent the number of boys at the high school.
1/8x total tried out for football.
1/6 total tried out for baseball.
If we were to draw a Venn diagram, the intersection of the two circles would be the 1/12 of the students that tried out for both, or 1/12x.
Taking this away from the total of 1/8x for football,
1/8x - 1/12x
3/24x - 2/24x
1/24x tried out for just football.
Taking the 1/12x away from the 1/6x that tried out for just baseball,
1/6x - 1/12x
4/24x - 2/24x
2/24x = 1/12x tried out for just baseball.
Looking at those that tried out for football, 2/24 tried out for both and 3/24 total tried out for football. This means 2 out of 3, or 2/3, of the football try outs also tried out for baseball.
2 / 3 are the required fraction of the boys who tried out for football and also tried out for baseball. OPtion D) is correct.
Given that,
1/8 of the boys at a high school tried out for the football team,
1/6 tried out for the baseball team, and 1 /12 tried out for the football team and baseball team.
What fraction of those who tried out for football also tried out for baseball is to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The fraction of boys that tried out for football also tried out for baseball.
= (1 / 6 - 1 / 12) / 1 / 8
= 2 / 24 * 8 / 1
= 2 / 3
Thus, 2 / 3 are the required fraction of the boys who tried out for football and also tried out for baseball. Option D) is correct.
Learn more about Ratio here:
brainly.com/question/13419413
#SPJ2
What conditional statement is represented by the Venn diagram below
Answers
Answer:
D
Step-by-step explanation:
It's one of each or not both tho:)
Answer:
Option C. is the correct answer.
Step-by-step explanation:
Since in the given Venn diagram "Blue circle" is contained in a "purple circle".
Blue circle represents Equilateral triangles and purple color circle represents isosceles triangle.
Since by this Venn diagram, equilateral triangles are contained in isosceles triangle then we can conclude that all equilateral triangles are isosceles triangle.
Therefore, option C. if shape is an equilateral triangle, then it is an isosceles triangle is true.
Please help. I don’t know which one is right.
Answers
Calculați: a) -5+(-2)•(4-8)
B) -10 + (-21)•(-7)
d) 6-(-3)•(1-9)
e) 8-(-28)•(3-10)
Answers
a) -5+(-2) (4-8) =
(-7)(-4) = 28
b) -10 + (-21) (-7) =
(-10) + 147 = 137
c) 6- (-3) (1-9)
9 (1-9) = -72
d) 8 - (-28) (3 - 10)
36 (-7) = -252
The answers will be a. 3, b. 137, c. -18, d. -188.
The student is asked to calculate the results of several basic arithmetic operations involving integers, following the order of operations (PEMDAS/BODMAS). Here's how each of the operations should be computed:
1. -5 + (-2) × (4 - 8)
-5 + (-2) × -4.
-5 + 8 = 3.
2. -10 + (-21) × (-7)
-10 + 147 = 137.
3. 6 - (-3) × (1 - 9)
6 - (-3) × -8
6 - 24 = -18.
4. 8 - (-28) × (3 - 10)
8 - (-28) × -7
8 + 196 = -188
Variables are usually written as ......- case letters.
Answers
Answer: Variables are usually written in lower-case letters.
Step-by-step explanation:
For example, it's "9x +10" not "9X +10"
Emma is 9 1/4 years old.how many months old is Emma
Answers
Answer:
111 months old.
Step-by-step explanation:
you first divide 12 by four giving us 3.
then times 9 by 12. that gives us 108.
then add 108 + 3 to give us the final results.
Hope that helps!
(if you could rate/thank me that would be amazing!)
111 months old.
A year is 12 months.
9x12=108
Then add 3 to 108.
= 111
5.97x10^24-4870000000000000000000000 in scientific notation
Answers
5.97 * 10^24 - 4.87 * 10^24 = 1.1 * 10^24
match each description of an algebraic expression with the symbolic form of that expression
A. 2 terms; variables = x and y
B. 3 terms; variables = x and y; constant = 3
C. 2 terms; variable = x; constant = 4.5
D. 3 terms; variables = x and y; constant = 2
1. x - 2y + 3
2. 4.5 - 2x
3. 4.5x + 2 - 3y
4. 4.5y - 2x
Answers
Answer:
A. 2 terms; variable = x; constant = 4.5 -------> 4.5 - 2x
B. 2 terms; variables = x and y -----------> 4.5y - 2x
C. 3 terms; variables = x and y; constant = 2 --------------> 4.5x + 2 - 3y
D. 3 terms; variables = x and y; constant = 3 --------------> x - 2y + 3
Its 100% correct just not in the order you put it in, I think you might of switched them but I just did the Warm-Up and its right my dudes :)
Final answer:
The descriptions provided for A and D do not perfectly match any of the available expressions, indicating a potential error in the provided materials. However, for descriptions B and C, expressions 1 and 2 are the respective matches.
Explanation:
To match each description of an algebraic expression with the symbolic form, we must look for the characteristics that fulfill the given conditions. These include the number of terms, the variables involved, and any constants.
A. 2 terms; variables = x and y: This description does not list a constant, so we are looking for an expression that has only x and y terms. None of the provided options fits perfectly as they all include a constant.
B. 3 terms; variables = x and y; constant = 3: The expression that fits this description is 1. x - 2y + 3.
C. 2 terms; variable = x; constant = 4.5: This description matches the expression 2. 4.5 - 2x.
D. 3 terms; variables = x and y; constant = 2: Once again, we're looking for an expression with three terms including the variables x and y and a constant of 2. However, none of the provided expressions fits this description since they all include a different constant.
Since the options provided do not fully satisfy the descriptions A and D, this can lead to an assumption that there may have been a mistake either in the given descriptions or in the provided expressions. We can answer to the extent that the options allow.
Correct matches from the provided options:
B is matched with 1
C is matched with 2
Learn more about Algebraic Expressions here:
https://brainly.com/question/34192827
#SPJ11
Item 8 Solve for x. Use the quadratic formula. 2x2−5x−9=0 Enter the solutions, in simplified radical form, in the boxes.
Answers
Answer:
5+√97/4
Also 5-√97/4
Step-by-step explanation:
The Quadratic formula is x=-b+-√b^2-4ac/2a
This means that we should plug the values for A B AND C into the formula
We can work out that
A = 2
B=-5
C=-9
Once we have put these into the formula we get
5+√97/4 (all over 4) aka 3.71
Also 5-√97/4 (all over 4) aka -1.21
Answer:
[tex]\large\boxed{x=\dfrac{5-\sqrt{97}}{4}\ or\ x=\dfrac{5+\sqrt{97}}{4}}[/tex]
Step-by-step explanation:
[tex]\text{Let}\ ax^2+bx+c=0\\\\\text{The quadratic formula:}\\\\\Delta=b^2-4ac\\\\\text{If}\ \Delta>0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}\\\\\text{If}\ \Delta=0,\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}\\\\\text{If}\ \Delta<0,\ \text{then the equation has no solution}\\==================================[/tex]
[tex]\text{The equation}\ 2x^2-5x-9=0\\\\a=2,\ b=-5,\ c=-9\\\\\Delta=(-5)^2-4(2)(-9)=25+72=97>0\\\\\sqrt\Delta=\sqrt{97}\\\\x_1=\dfrac{-(-5)-\sqrt{97}}{2(2)}=\dfrac{5-\sqrt{97}}{4}\\\\x_2=\dfrac{-(-5)+\sqrt{97}}{2(2)}=\dfrac{5+\sqrt{97}}{4}[/tex]
How do I determine the slope of the line using a graph
Answers
It's hard to explain, but theres a trick to it too.
I don’t know how to do this problem and need help getting answer?
Answers
Hi!!! So to do this problem, you need to find the mean values for each sample. I will walk you through finding the mean of sample 1: first you want to add all of the values for sample 1, which are 4,5,2,4 and 3. Once you add those values you get 18. Then you must divide that 18 by the number of terms you added. The numbers you added were 4,5,2,4 and 3 like I said earlier which is 5 numbers. You divide 18 by 5 to get your mean, which is 3.6
Answer: (B) Sample 2
sample 1 mean = 3.6
sample 2 mean = 4.2
sample 3 mean = 3.8
sample 4 mean = 4
Describe the correlation.
A. no correlation
B. prime correlation
C. positive correlation
D. negative correlation
Answers
Answer:
the answer is D because their are 2 points that collide
Step-by-step explanation:
that's why I chose the answer d
Correlation in statistics is the relationship between two variables that can be positive, negative, or non-existent. Positive correlation means both variables move in the same direction, while negative correlation means they move in opposite directions. 'Prime correlation' is not a recognized term in statistics.
Explanation:In statistics, the term correlation refers to the statistical relationship between two variables. A correlation can be positive, negative, or there might be no correlation.
No correlation implies that there is no noticeable relationship between two variables. If one variable changes, we can't predict any specific change in the other.There is no such term as prime correlation in statistics. It might be a typo or unrelated to the concept of correlation.A positive correlation signifies that as one variable increases, the other does too. Similarly, if one variable decreases, the other follows. An example could be the more hours one studies, the better their exam performance.A negative correlation means that as one variable increases, the other decreases. For instance, the more time one spends watching TV, the lower their productivity might be.Learn more about Correlation here:https://brainly.com/question/36761554
#SPJ2
I need help pls help me
Answers
Answer:
The first question answer is Fred. The second one is 1/7. Sorry that is all i know.
Step-by-step explanation:
Boris is ordering supplies for his company. He ordered 20 boxes of pencils and 32 boxes of pens. What is the ratio of boxes of pens ordered to boxes of pencils ordered?
A.
1:20
B.
5:8
C.
20:1
D.
8:5
Answers
Answer:
8:5
Step-by-step explanation:
32:20
8:5
Help me pls I need help and I need the answer
Answers
Really hope this sums it up so it’s easier to choose!
Answer:F
Step-by-step explanation:
Due to the fact the ratio is 14 to 6, 14 to 6 is basically close to 3/4.
y = |x| translated half a unit to the right.
Answers
Answer:
y=|x-0.5|
Step-by-step explanation:
right/left is always within the absolute value itself.
to the right is always negative.
Answer:
|x|-0.5
Step-by-step explanation:
At the market,7 apples cost $4.55. What is the cost per apple?
Answers
Answer:
Step-by-step explanation:
The have to divide $4.55 by 7
$4.55/7
$0.65/1
The price for one Apple is $0.65.
7 divided 4.65 = 0.65 answer is each apple cost 0.65 cents
A survey found that 78% of high school freshmen have internet acess at home. Of the 754 freshmen at one high school , about how many would be expected to have internet acess at home? SHOW WORK AND EXPLAIN! The person who does show work will be marked as brainliest.
Answers
Multiply the total number of freshman by the percentage:
754 x 0.78 = 588.12
Since you cant have 0.12 of a person, round up to 589 people.
Approximately 589 of the freshmen at the high school would be expected to have internet access at home.
We are given that 78% of high school freshmen have internet access at home. This percentage can be expressed as a fraction or a decimal for calculation purposes. In this case, we will use the decimal form, which is 0.78.
The total number of freshmen at the high school is given as 754.
To find the number of freshmen with internet access, we multiply the total number of freshmen by the percentage (in decimal form) that represents those with internet access.
The calculation is as follows:
Number of freshmen with internet access = Total number of freshmen × Percentage with internet access
Number of freshmen with internet access = 754 × 0.78
Performing the multiplication:
Number of freshmen with internet access = 588.92
In conclusion, about 589 of the 754 freshmen at the high school would be expected to have internet access at home.
10 points!!! Please show work!!
Answers
Answer:
Smallest x -14
Larger x 0
Step-by-step explanation:
(x+7)^2 -49=0
Add 49 to each side
(x+7)^2 -49+49=0+49
(x+7)^2 = 49
Take the square root of each side
sqrt((x+7)^2) = ±sqrt(49)
x+7 = ±7
Subtract 7 from each side
x+7-7 = -7±7
x = -7±7
x = -7 -7 x = -7+7
x = -14 x =0
Smallest x -14
Larger x 0
Answer:
Smaller [tex]x=-14[/tex]
Larger [tex]x=0[/tex]
Step-by-step explanation:
[tex](x+7)^2-49=0[/tex]
[tex](x+7)^2=49[/tex] (add 49 to both sides)
[tex]\sqrt{(x+7)^2} =\sqrt{49}[/tex]
Knowing that [tex]7*7=49[/tex] and [tex]-7*-7=49[/tex]
[tex]x+7=7[/tex] or [tex]x+7=-7[/tex]
Solving for [tex]x+7=7[/tex] first...
[tex]x=0[/tex] (subtract 7 from both sides)
Solving for [tex]x+7=-7[/tex]
[tex]x=-14[/tex] (subtract 7 from both sides)
{20, 30, 40, 50, 60, 70, 80} The mean of this set of numbers is A) 20 B) 50 C) 55 D) 60
Answers
Answer:
50
Step-by-step explanation:
Adding up 20, 30, 40, 50, 60, 70, 80, we get 350. There are 7 numbers in this set, so divide this 350 by 7. We obtain the mean, 350/7 = 50 (Answer B)
Answer:
Your answer would be: B) 50
To find the mean, you add all the numbers in the data set and divide them by how many numbers there are, which in this case it is 7.
find the perimeter of this figure
Answers
Answer:
128.52
Step-by-step explanation:
Find the area of the figure by splitting it into two shapes - a trapezoid and a semi-circle.
The area of a semi-circle is found using A = 1/2πr² where r = 6 since the diameter is 12. A = 1/2π(6)² = 56.52.
The area of the trapezoid is found using A = 1/2(a+b)h = 1/2(12 + 6)(8) = 72.
Together the area is 56.52 + 72 = 128.52.
Help with Algebra! Completing the square!
Answers
If positive, the parabola opens up and has a minimum.
If negative, the parabola opens down and has a maximum.
A. To find the vertex (in this case maximum),
Graph the equation -OR—
make a table. — OR—
Find the zeroes and find the middle x-value
-2x^2 - 4x + 6
-2(x^2 +2x - 3 = 0
-2 (x - 1) ( x + 3)=0
x - 1 = 0. x + 3 = 0
x = 1. x = -3. So halfway would be at (-1, __).
Sub in -1 into original equation -2x^2 -4x + 6 … -2(-1)^2 -4(-1) + 6 = -2 +4 +6 = 8
So the vertex is (-1,8)
Answer:
Part a:[tex]f(x)=-2(x+1)^2+8[/tex]
Part b: Maximum value
Step-by-step explanation:
Part a.
The given function is [tex]f(x)=-2x^2-4x+6[/tex].
We need to complete the square to obtain the vertex form
[tex]f(x)=-2(x^2+2x)+6[/tex]
Add and subtract the square of half the coefficient of x.
[tex]f(x)=-2(x^2+2x+(1)^2)--2(1)^2+6[/tex]
[tex]f(x)=-2(x^2+2x+1)+2+6[/tex]
The quadratic trinomial within the parenthesis is now a perfect square
[tex]f(x)=-2(x+1)^2+8[/tex]
The vertex form is [tex]f(x)=-2(x+1)^2+8[/tex]
Part b
Comparing [tex]f(x)=-2(x+1)^2+8[/tex] to [tex]f(x)=a(x-h)^2+k[/tex], we have a=-2.
Since a is negative the vertex is a maximum point.
Hence the function has a maximum value