Answer:
Exactly three times.
Step-by-step explanation:
(6/7) / (2/7) = (6/7) * (7/2) = 3/1 * 1/1 = 3
Triangles G H L and K H J are connected at point H. Angles Angles L G H and H K J are congruent. Sides G H and H K are congruent. Which congruency theorem can be used to prove that △GHL ≅ △KHJ?
1) Considering that in these triangles, there is one pair of vertical angles
∠GHL and ∠JHK and two congruent angles ∠JKH and ∠HGL,
2) We can tell that these triangles fall within the following congruence case:
[tex]ASA[/tex]on spirit day 63 fewer 7th graders wore green and white then 8th grade. the total number of students wearing green and white was 561. find the number of 7th and 8th graders who wore green and white
I got the answer of 505 students
Evaluate: open parentheses 3 y minus 2 close parentheses plus open parentheses fraction numerator 2 x y over denominator 3 end fraction space minus 30 space close parentheses space w i t h space x equals 10 comma space y equals 6 ANS.____________________ __________.
In order to evalute this expression, replace the variable placeholders with the numerical values, that is,
[tex](3(6)-2)+(\frac{2(10)(6)}{3}-30)[/tex]which gives
[tex]\begin{gathered} (18-2)+(\frac{120}{3}-30) \\ (16)+(40-30) \\ 16+10 \\ 26 \end{gathered}[/tex]then, the answer is 26.
Fill in the frequency distribution below
The frequency for the given distribution of the class interval 1.00 - 1.09 is 3, which are 1.07, 1.05 and 1.07.
What is frequency?The frequency of a repeating event is its number of instances per unit of time. In some cases, it is also referred to as temporal frequency or ordinary frequency to emphasise differences with spatial and angular frequencies, respectively. One (event) per second is equal to one hertz (Hz), which is how frequency is expressed.
The period is the reciprocal of the frequency because it is the length of time for one cycle in a repeating event. For instance, the period, T—the space between beats—of a heart beating at a frequency of 120 beats per minute (2 hertz), is equal to 0.5 seconds (60 seconds divided by 120 beats).
Learn more about frequency
https://brainly.com/question/254161
#SPJ13
10. Given: ABED, AD = EBProve: AABD AEDBLook at the proof. Name the postulate you would use to prove the two triangles are congruent.Given: AB ED, AD EBProve: AABD = AEDBAB EDGivenAD EBGivenBD BDReflexive Propertyof CongruenceAABD AEDB?BDE
In the problem, we are already given 2 pairs of sides that are congruent: AB and ED, and AD and BE.
Using the reflexive property of congruence, we also know that segment BD is congruent to itself.
We have therefore used three pairs of sides that are congruent to prove that △ABD ≅ △EDB.
This means that we used the SSS Postulate to prove the congruence of the two triangles.
help me please
thank you
Answer:
Domain: [-8, 2]
Range: [-4, 0]
Function: Yes
Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
A relation is a function if each x value corresponds to only one y-value.
Write in point-slope form an equation of the linethrough each pair of points. 17. (1.0) and (5, 5)19. (0, -1) and (3, -5)21. (1. 9) and (6, 2)
we have the following:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]replacing:
17. (1, 0) and (5, 5)
[tex]m=\frac{5-0}{5-1}=\frac{5}{4}[/tex]therefore,
[tex]\begin{gathered} y=mx+b \\ y=\frac{5}{4}\cdot x-\frac{5}{4} \end{gathered}[/tex]19. (0, -1) and (3, -5)
[tex]m=\frac{-5-(-1)}{3-0}=\frac{-4}{3}=-\frac{4}{3}[/tex]therefore,
[tex]\begin{gathered} y=mx+b \\ y=-\frac{4}{3}\cdot x-1 \end{gathered}[/tex]21. (1, 9) and (6, 2)
[tex]m=\frac{2-9}{6-1}=\frac{-7}{5}=-\frac{7}{5}[/tex]therefore,
[tex]\begin{gathered} y=mx+b \\ y=-\frac{7}{5}\cdot x+10.4 \end{gathered}[/tex]I AQUIRE INFORMATION, please
Which polynomials are prime? Check all of the boxes that apply.
x² +9
0²-9
Ox²+3x+9
O-2x² +8
x² +3x+9 and x² + 9 are prime polynomials.
Define prime numbers.A whole number higher than 1 whose only elements are 1 and itself is referred to as a prime number. A whole number that may be split evenly into another number is referred to as a factor. 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29 are the first few prime numbers. Composite numbers are those that have more than two components. A prime number is one that can only be divided without leaving a residue by itself and one.
Given Data
x² +9
x² + 9 cannot be divided into factors of rational numbers. It is a prime polynomial as a result.
x²+3x+9
It is impossible to factorize x² + 3x + 9 using rational values. It is a prime polynomial as a result.
x²-9
Factoring x² - 9 results in (x - 3)(x + 3). It is not a prime polynomial, therefore.
-2x² +8
The factorization of -2x² + 8 results in -2(x - 2)(x + 2). It is not a prime polynomial, therefore.
To learn more about prime numbers, visit:
https://brainly.com/question/9315685
#SPJ13
A moving company charges a one-time and a cost per mile for its service. The relationship between the mileage and the cost is displaying in the graph. Which equation best represents the relationship between the total cost, C, and miles traveled, m?*
This is a linear relation. For linear relations, we have the general form:
[tex]y=ax+b[/tex]Where 'a' is the slope and 'b' is the intercept.
In this problem, we have that the intercept b is 200, because that's the point where the line crosses the y-axis. For now we have something like:
[tex]C=am+200[/tex](here y is C and x is m)
To find the slope we have to use the intercept point (0, 200) and another point on the line. We can see that one of those points is (200, 500).
For a line with points (x1, y1) and (x2, y2), the slope is find like:
[tex]a=\frac{y_2-y_1}{x_2-x_1}[/tex]In this problem, the slope is:
[tex]a=\frac{500-200}{200-0}=\frac{300}{200}=\frac{3}{2}=1.5[/tex]Then, we have the equation that represents the relationship between the mileage and the cost:
[tex]C=1.5m+200[/tex]What transformations to the linear parent function, f(x) = x, give the functiong(x) = -6X? Select all that apply.A. Vertically stretch by a factor of 6.B. Horizontally stretch by a factor of 6.O C. Shift 6 units down.D. Reflect over the x-axis.
Looking at f(x) and g(x), we can see that g(x) is made by f(x) multiplied by -6.
Since the function was multiplied by a negative value, that means we had a reflection over the x-axis.
Also, if the function was multiplied by a constant value, that means we had a vertical stretch by a factor equal to the absolute value of the constant.
Therefore the correct options are A and D.
[tex] - 10 - (5 - 9) {}^{2} [/tex]How would you solve this problem?
You have the following expression:
-10 - (5 - 9)²
In order to simplify the previous expression you proceed as follow:
- 10 - (5 - 9)² simplify terms inside parenthesis
= -10 - (-4)² solve the parenthesis
= -10 - 16 simplify
= -26
Hence, the simplified expression is -26.
Does the geometric sequence converge or diverge? Explain.
320,-40, 5, -0.625,...
O The sequence diverges because r = -8, which is less than one.
O The sequence diverges because |r | = 8, which is greater than one.
The sequence converges because || = 0.125, which is less than one.
O The sequence converges because r = 0.125, which is less than one.
The sequence converges because |r| = 0.125, which is less than one. The correct answer would be option (C).
What is geometric series?The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio
We have been given that geometric sequence as:
320, -40, 5, -0.625,...
To determine whether the geometric sequence converges or diverges
We have to find the common ratio of the given sequence.
|r | = | -40/320 |
|r | = 0.125 < 1
Since the common ratio of the sequence is less than 1,
Therefore, the given sequence converges.
Hence, the correct answer would be an option (C).
Learn more about geometric series here:
brainly.com/question/21087466
#SPJ1
Determine the slope and the y-intercept of the line.
12 = 3 y
Slope: 0; y-intercept: (0,4)
Slope: 0; y-intercept: (4, 0)
Slope: undefined; y-intercept: (4,0)
Slope: 1; y-intercept: (0,4)
Answer:
Slope = 0, y int = (0,4)
If there is no x variable, slope is 0. y = 4 so no matter what x is (which it will always be 0) the y intercept will always be 4
Question in picture will give brainlist
The angle addition postulate is the best justification for m∠XPD + m∠DPE = m∠XPE.
What is an angle bisector?An angle bisector is a line segment that divides an angle into two equal parts.
The angle addition postulate states, if a line segment is in between an angle sum of two smaller angles created by the line segment, is equal to the measure of the larger angle.
We have an ∠XPE that is divided by a line segment PD which creates two smaller angles ∠XPD and ∠DPE.
∴ By angle addition postulate m∠XPD + m∠DPE = m∠XPE.
learn more about angle addition postulate here :
https://brainly.com/question/18204441
#SPJ1
The laboratory technician can combine L of the pure acid solution with L of the 10% acid solution to get the desired concentration.A laboratory technician needs to make a 33-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid wi is 10% to get the desired concentration?
The laboratory technician has to combine 11 L acid solution to get the desired concentration .
What is concentration in a solution?The volume of solute that has been dissolved in a specific volume of solvent or solution is known as the concentration of a solution. A solution with a significant concentration of dissolved solute is one that is concentrated. When there is just a minimal amount of dissolved solute in a solution, it is said to be diluted. The amount of a solute, or dissolvable substance, combined with the solvent, or other substance, determines the concentration of a solution in chemistry. C = m/V, where m is the mass of the solute dissolved and V is the total volume of the solution, is the accepted formula. Among the quantitative units of concentration are molarity, molality, mass percentage, parts per thousand, parts per million, and parts per billion.
The33 L batch is 40% acid, so 33 x 0.4 = 13.2 L of pure acid in the batch.
Let P = the number of liters of pure acid required, D = the number of liters of the 10 % solution.
Then P + 0.10 x D = 13.2.
Also, P + D = 33
This equation can be solved simultaneously by substitution.
P = 33 - D
33 - D + 0.10 x D = 16.8
-D (1 - 0.10) = 13.2 - 33
-D = -19.2/ 0.9
D = -22
P = 33 - 22
= 11 L
To know more concentration , visit:
https://brainly.com/question/4493779
#SPJ13
Come onnnnSimplify fast help
Answer:
i know that if i just answered the question quick then it would have been better for you but i also need help with something but i know something that will help you
Step-by-step explanation: go to cymath ans type it in it will help you and you can use it on school laptops so im kind of helping future you
a. 2а + 4(7 + 5а) (simplify)
Answer
22a + 28
Explanation
The question asks us to simplify the given expression
2a + 4(7 + 5a)
The first step is to open the bracket
2a + 4(7 + 5a)
= 2a + 28 + 20a
= 2a + 20a + 28
= 22a + 28
Hope this Helps!!!
Hello, stuck on this practice problem. I also need to show all work.
Given the model for the height of a ball:
[tex]h(t)=-16t^2+5t+15[/tex]To hit the ground, the height must be h(t) = 0. Then:
[tex]\begin{gathered} -16t^2+5t+15=0 \\ \Rightarrow16t^2-5t-15=0 \end{gathered}[/tex]We use the general solution for a quadratic equation:
[tex]ax^2+bx+c=0\Rightarrow x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]From the problem, we identify:
[tex]\begin{gathered} a=16 \\ b=-5 \\ c=-15 \end{gathered}[/tex]Using the formula:
[tex]\begin{gathered} t=\frac{5\pm\sqrt{25+4\cdot15\cdot16}}{2\cdot16}=\frac{5\pm\sqrt{985}}{32} \\ \\ \Rightarrow t_1=1.137 \\ \Rightarrow t_2=-0.825 \end{gathered}[/tex]We only take the positive value (because the time is always positive!). Then, the answer is:
[tex]1.137\text{ seconds}[/tex]arc TQ =arc QR =arc TS =arc SQR =arc RQTBackNext
Consider the expression. (-3)^-3 divided by 1/-6^2Which Three choices are equivalent to the expression givenA. 4/3B. 1/-(6)^2(-3)^3C. 36/-27D. -6^2/-27E. -36/(-3)^3
Solution
For this case we have the following:
[tex]3^{-3}=\frac{1}{3^3}=\frac{1}{27}[/tex][tex](\frac{1}{-6})^2=\frac{1}{36}[/tex]When we apply the division we got:
[tex]\frac{\frac{1}{27}}{\frac{1}{36}}=\frac{36}{27}=\frac{4}{3}[/tex]Option A is correct
Option D is correct
Option E is correct
Final answer: A, D, E
Select that two values of x that are roots of thi equation
ANSWER:
B.
[tex]x=\frac{5+\sqrt{17}}{4}[/tex]C.
[tex]x=\frac{5-\sqrt{17}}{4}[/tex]EXPLANATION:
Given:
[tex]2x^2+1=5x[/tex]To find:
The two values of x that are roots of the equation
Let's subtract 5x from both sides of the equation;
[tex]\begin{gathered} 2x^2+1-5x=5x-5x \\ 2x^2-5x+1=0 \end{gathered}[/tex]Recall that a quadratic equation is generally given in the below form;
[tex]ax^2+bx+c=0[/tex]Comparing both equations, we can see that;
[tex]\begin{gathered} a=2 \\ b=-5 \\ c=1 \end{gathered}[/tex]Let's go ahead and use the below quadratic formula to solve for the values of x;
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex][tex]\begin{gathered} x=\frac{-(-5)\pm\sqrt{(-5)^2-4*2*1}}{2*2} \\ \\ x=\frac{5\pm\sqrt{25-8}}{4} \\ \\ x=\frac{5\pm\sqrt{17}}{4} \\ \\ x=\frac{5+\sqrt{17}}{4},\frac{5-\sqrt{17}}{4} \end{gathered}[/tex]Hancox Homes Hancox Homes is a popular construction company that builds affordable housing. When the company first started, they sold 1 home the first month, 3 homes the second month, 9 homes the third month, and 27 homes the fourth month. What is the sequend pattern?
The sequence in the question may be given as
1, 3, 9, 27
From this, the first term is 1 and the common ration is 3
Common ratio = 3/1 = 9/3 = 27/9
= 3
Evaluate the expression 2x + 5 for x = 10
Answer:
[tex]2x + 5 \\ (2 \times 10) + 5 \\ 20 + 5 \\ = 25[/tex]
What is the product of the radical expression? (7- square root of 7) (-6+ square root of 7)
The product of the given expression will be -49 + 13√7.
Product of two entities may be used to increase the amount of those entities. A radical expression may be defined as an expression which along with numbers and variables contain square root symbol. Instead of square root there can be cube root, fourth root or of root with any power. For example, 1 + √4, 1 + ∛4 etc. We have the expression (7 - √7) (-6 + √7). The product of this expression will be
Product = (7 - √7) (-6 + √7)
Product = -42 + 7√7 + 6√7 - 7
Product = -49 + 13√7 which is the required expression.
Learn more about Radical expression at:
brainly.com/question/12021902
#SPJ1
Answer:
[tex]-49 + 13\sqrt{7}[/tex]
Step-by-step explanation:
[tex](7 - \sqrt{7} )(-6 + \sqrt{7})\[/tex] Distribute.
[tex]7 * -6 + 7 * \sqrt{7} - \sqrt{7} * -6 - \sqrt{7} * \sqrt{7}[/tex] Multiply. Keep in mind [tex]- \sqrt{7} * \sqrt{7} = (-\sqrt{7})^{2} = - 7[/tex].
[tex]-42 +13\sqrt{7} - 7[/tex] Combine like radicals/terms.
[tex]-49 +13\sqrt{7}[/tex]
Find the
28th term of
3,11, 19, 27
The 28th term of the given arithmetic sequence is 219
any arithmetic sequence can be solved once we identify the aa1 term and the an term because then we have to simply find the common difference and solve further by substituting the value in the below mentioned equation.
Given the arithmetic sequence = 3,11, 19, 27
a₁ = 3
a₂ = 11
a₃ = 19
a₄ = 27
the common difference or d = a₂ - a₁
this implies d = 11 - 3 = 8
Therefore the 28th term of the given arithmetic sequence is
a₂₈ = a₁ + ( n - 1 ) d
a₂₈ = 3 + ( 28 - 1 ) 8
= 3 + 27 × 8
= 3 + 216
= 219
Thus a₂₈ = 219
To know more about arithmetic sequence visit;
https://brainly.com/question/10396151
#SPJ13
Natalie walked 1.4 miles in one hour. How far did she walk in kilometers?
The distance covered by Natalie in kilometers will be 2.24 kilometers.
What is a unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Given that Natalie walked 1.4 miles in one hour. The distance covered by Natalie in kilometers will be calculated as:-
The value of 1 mile is equal to 1.4 kilometers.
1 miles = 1.6 kilometers
1.4 miles = 1.4 x 1.6 kilometers
1.4 miles = 2.24 kilometers
Therefore, the distance covered by Natalie in kilometers will be 2.24 kilometers.
To know more about unit conversion follow
https://brainly.com/question/141163
#SPJ1
2. Invasive weed species can grow quickly. One variety grows up to 1.65 ft per day. How fast in inches per minute can this weed grow? Show your work using the correct conversion factors and make sure all conversion factors are labeled with appropriate units. You should have more than one conversion factor shown.
Show you work please :)
Answer:
0.825 inches per hour
Step-by-step explanation:
Invasive weed species can grow quickly. One variety grows up to 1.65 ft per day. How fast in inches per minute can this weed grow?
FACTS:
the weed grows up to 1.65 feet per day
there are 12 inches in 1 foot
there are 24 hours in 1 day
First, lets figure how many inches the weed can grow in one day:
= daily growth in feet per day * inches in 1 foot
= 1.65 feet * 12 inches
= 19.8 inches a day
If the weed can grown 19.8 inches a day, and there are 24 hours in a day:
= growth in inches per day/24 hours in 1 day
=19.8/24
= 0.825 inches per hour
NEED HELP NOW!!!!!!!!Find the number that should be added to the expression to create a perfect square trinomial. x^2-8x-161664-64
From a perfect square trinomial
[tex]a^2+2ab+b^2[/tex]We know that:
[tex]2ab=2\cdot\sqrt[]{a^2}\cdot\sqrt[]{b^2}[/tex]Now, let's use this for the trinomial given:
[tex]x^2-8x+b^2[/tex]We know that:
[tex]-8x=2\cdot x\cdot b^2[/tex]Solving for b,
[tex]\begin{gathered} -8x=2xb \\ \rightarrow b=-\frac{8x}{2x}\Rightarrow b=-4 \end{gathered}[/tex]This way, the complete perfect square trinomial is:
[tex]x^2-8x-16[/tex]Ans: Option A
Maria wants to put new carpet on her living room floor which is shaped like a square. If the length of one side of the floor in the living room is 19 feet, what is the area of the floor that will be re-carpeted?
The area to be recarpeted is 361 sq. m.
What is area?
The measurement that describes the size of a location on a horizontal or contour is called area. Surface area refers to the area of an extended surface or the border of a tri object, whereas the area of a horizontal region or flat area corresponds to the area of a form or planar laminate. Area can be interpreted as both the amount of substance with a specific thickness required to create a model of the shape or as the quantity of paint required to completely cover a surface in a single coat. It is the two-dimensional equivalent of the volume of a solid or the length of a curve, both of which are one-dimensional concepts (a three-dimensional concept).
given the area is in form of square
So, the area of floor = 19x19 = 361 sq. m.
To know more about area, click on the link
https://brainly.com/question/27574090
#SPJ9