The triangles are congruent by SAS congruence theorem
How to determine the congruence theorem?From the figure, we have the following congruent sides
Sides AB and DBSides A F and D FAlso, both triangles share a common vertex at B
This means that:
<B = <B
Two sides and one angle are congruent in the triangles
Hence, the triangles are congruent by SAS congruence theorem
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What is a table rule?
Therefore , the solution of the giving problem of tables is a number designating the type of rule, a set of -1 tokens, and a ranking of the rule.
Describe a table.A mathematical table is a collection of numbers that shows the outcome of a calculation using multiple inputs. data with numbers and descriptions that is arranged in rows and columns. The table and 10 pattern are easy to remember. The following is the order of the numbers:2,4,6,8,10,12,14,16,18,20. Value maps are used to show how different data pieces are related to one another. You can incorporate the values expression table into your science lecture. Scientists and researchers use tables of values to store data and seek for patterns in that data. Then, this pattern is used in forecasting.
Here,
Tokens from the address input sequence are mapped to a standardized output sequence using a set of rules found in the rules table.
A rule is described as a collection of input tokens, a set of output tokens, a set of -1 (terminator), a number designating the type of rule, a set of -1 tokens, and a ranking of the rule.
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What is the additive inverse of 7 by 8?
The additive inverse of 7/8 is -7/8.
This can be seen when using the additive inverse formula. The additive inverse formula states that if a number is denoted as x, then the additive inverse would be -x. Therefore, when applied to 7/8, it would be -7/8. This can also be seen when adding the two numbers together. When 7/8 is added to -7/8, the sum is 0. This can be seen in the calculation below:
7/8 + (-7/8) = 0
7/8 - 7/8 = 0
0/8 = 0
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Someone help me …
100 POINTS!!!
Answer:
$43
Step-by-step explanation:
165/5=33
33+10=43
Answer:
43
Step-by-step explanation:
165/5 =
33..
+10
43
How many types has substitution?
Answer:
"Substitution comes in three flavors: nominal, verbal or clausal, depending on the item being substituted.
Step-by-step explanation:
Hope it helps!
How many solutions exist for a given equation?
If solving an equation provides a statement that is true for a single value of the variable, such as x = 3, the problem has one solution. If solving an equation provides a statement that is always true, such as 3 = 3, the equation has an unlimited number of solutions.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
If solving an equation provides a statement that is true for a single variable value, such as x = 3, the problem has a single solution. If solving an equation produces a statement that is always true, such as 3 = 3, the equation has an unlimited number of solutions.
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Brody made 7/8 lb of granola he puts 1/4 lb of granola into each bag how many bags will he be able to fill completely
3.52bags will be filled completely with 7/8 lb of granola and 1/4 lb of granola
What is word problems?
Word Problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols. Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.
To get the number of bags, we simplify and use the quotient, that is:
We divide the quantity of granola over the number of bags
=(7 / 8 pounds) / (1 / 4 pounds)
=0.88/0.25
= 3.52 bags
Hence, The number of bags that will be filled completely is 3.52 bags
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Which choice shows 2 • 3 • 25 rewritten correctly using the commutative property and then simplified correctly?
Answer: 150
Step-by-step explanation:
2x25x3= 50x3 = 150
If a power is missing, then the coefficient of the term with that power is
Answer:
0
Step-by-step explanation:
if no term exists in an expression this means it has a coefficient of 0
(1/3) to the power of 2×(−10÷14) ASAP PLS
Answer:
The expression (1/3) to the power of 2x(−10÷14) is equal to (1/3)^(-5/7).
Step-by-step explanation:
Calculating this expression in general will give you a decimal value as an outcome, However, since i do not have the ability to perform calculations, i can give you this hint. It will be a small number close to zero but not zero.
It's important to note that the order of operations (PEMDAS) should be followed when evaluating this expression: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Is the triangle with sides 25cm 5cm and 24cm a right triangle True False?
Answer:
yes
Step-by-step explanation:
Simplify.
(-3ab3)4
thanks
Answer: -12ab^3
Step-by-step explanation: (-3ab^3) 4 -12ab^3
Find the slope of the line through the pair of points: (7,5)(-8,4)
Answer:1/15
Step-by-step explanation
formula = y2-y1/x2-x1;
x1=7;y1=5; x2=-8;y2=4
4-5/-8-7=-1/-15
=1/15
PLS HELP WILL MARK BRAIN THINGY
The vertices of the image of the figure LMNO following a 90° rotation about the origin are; L'(3, 5), M'(6, 6), N'(3, 4), O'(6, 4), indicating that the corresponding segment L'O' and M'N' are on the lines x = 6 and x = 3, the correct option is option B.
B. x = 6 and x = 3
What is a rotation transformation?A rotation is the circular motion about a specified center of rotation of the points on the figure of the preimage.
The coordinates of the vertices of the figure LMNO are; L(-5, 3), M(-6, 6), N(-4, 6), O(-4, 3)
The transformation of the figure LMNO = 90° clockwise rotation about the origin.
The coordinate of the image of the point (x, y) following a rotation of 90° about the origin is the point (y, -x).
Therefore, the coordinates of the image of the figure LMNO following a rotation of 90° about the origin are found as follows;
L(-5, 3) [tex]\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}[/tex] L'(3, 5)
M(-6, 6) [tex]\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}[/tex] M'(6, 6)
N(-4, 6) [tex]\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}[/tex] N'(6, 4)
O(-4, 3) [tex]\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}[/tex] O'(3, 4)
The points L' and O' are colinear with the line x = 3, and the points M' and N' are colinear with the line x = 6
Therefore, the corresponding segment to the segment LO, L'O' lie on the the line x = 3, and the corresponding segment to the segment MN, M'N' lie on the line x = 6
The correct option is B. x = 6, and x = 3
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The slope of the line below is -3. Write a point-slope equation of the line using the coordinates of the labeled points (5,-7)
The point-slope equation of the line for the given slope and coordinates is found as : y = -3x - 16.
Define the term point-slope equation?A line's equation written using a single point here on line and the line's slope is referred to as the point-slope form. The slope has been the rise with run, or the proportion of the change there in y values out over changes in the x values, and the point form is denoted as (x,y).For the stated question.
The slope of the line m = -3.
Coordinates = (5,-7)
The general point-slope equation is given as:
y - y1 = m (x - x1)
y - 5 = -3(x + 7)
y - 5 = -3x - 21
y = -3x - 16
Thus, the point-slope equation of line for the given slope and coordinates is found as : y = -3x - 16.
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What is the formula of XYZ ²?
Therefore , the solution of the given problem of quadratic equation comes out to be XYZ² equals to x² + y² + z² – 2 x y + 2 y z – 2 z x .
Describe a quadratic equation.A quadratic quadratic in a specific factor is x ax2+bx+c=0, that is a quadratic equation. a 0. The fact that this equation is of second order guarantees that it contains lease one solutions according to the First Theorem of Algebra. Solutions could be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least the word in it should be squared. One of the common formulas for solving quadratic equations is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the quantitative coefficients or integers a, b, and c.
Here,
Given: XYZ ²
To find the value of XYZ ² ,
Thus,
=> XYZ ² = x² + y² + z² – 2 x y + 2 y z – 2 z x .
So, the solution for this XYZ² equals to x² + y² + z² – 2 x y + 2 y z – 2 z x .
Therefore , the solution of the given problem of quadratic equation comes out to be XYZ² equals to x² + y² + z² – 2 x y + 2 y z – 2 z x .
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Sunflower oil is a cooking ingredient that can be used as a substitute for olive. The density of sunflower oil is 0.925 grams per cubic centimeter. A farmer would like to sell bottles of sunflower oil that contain 370 grams of oil. What is the volume of the smallest container that holds 370 grams of oil?
The volume of the smallest container that holds 370 grams of oil is
400 cm³.
What is density?Density is mass per unit volume.
We have,
The density of sunflower oil = 0.925
Mass of sunflower oil = 370 grams
Now,
Density = Mass / Volume
So,
The volume of the smallest container that holds 379 grams of oil.
= Mass of the sunflower oil / Density of the sunflower oil
= 370 / 0.925
= 400 cm³
Thus,
The volume of the container that holds 379 grams of oil is 400 cm³.
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Suppose a dog toy manufacturer packs 5 solid balls in a cylindrical container. The radii
of the balls and the cylinder are each 10 cm, and the height of the cylinder is 100 cm.
How much empty space is within the container when the balls are packed within it?
You may round your answer to two decimal places.
Empty space is within the container is 90.The volume of the object from the volume of the container in which it is packaged can be used to determine the empty space in a container.
How can you determine how much room is empty?The volume of the object from the volume of the container in which it is packaged can be used to determine the empty space in a container.
The cylinder will have an interior height of 9 inches (three times the diameter of the balls) and an interior diameter of 3 inches (1.5 inch radius). It takes up around 21.2 cubic inches of the cylinder when the balls are not there.
The volume of the object from the volume of the container in which it is packaged can be used to determine the empty space in a container.
According to question:- 100 - 10 = 90.
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Please help need by tonight
By treating the,, >, or sign as a = sign, the inequality can be shown graphically. Make a dotted line graph of the equation if the inequality is either or.
How do you graph an inequality?For a 125-pound individual, a 30-minute hard stationary bike workout burns roughly 315 calories, 378 calories for a 155-pound individual, and 441 calories for a 185-pound someone. You will burn even more calories if your weight is higher.
According to the American Council on Exercise (ACE), you should cycle for at least 30 minutes at a time at a moderately strenuous intensity if you want to lose weight. You'll want to pedal for longer to burn even more calories. The ACE also advises combining two exercises into one cross-training session to speed up weight loss.
Treat the,, >, or sign as a = sign when graphing an inequality, and then graph the equation. The equation should be plotted as a dotted line if the inequality is either or.
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The parallelogram has an area of 20 square inches. What are the dimensions of the parallelogram, to the nearest hundredth of an inch?.
The dimensions of the parallelogram to the nearest hundredth of an inch are 6.54 in and 3.06 in.
A Parallelogram is a flat shape with opposite sides parallel and equal in length.
properties of Parallelogram
The opposite sides are parallel and equal in lengthOpposite angles are equal, Angle A and angle B add up to 180°, so they are called supplementary angles.Trigonometry would be used to determine the base and the length of the parallelogram.
Base: cos 40 = adjacent /hypotenuse
0.7660 = adjacent / 4
adjacent = 4 x 0.7660
adjacent = 3.06 inch
Length = area/base
Length= 20/3.06
Length= 6.54 in
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there are 208 students going on the school field trip each bus can carry 32 students how many buses will be needed
Answer:
7 busses
Step-by-step explanation:
208students divided by the number of students per bus 32The answer is 6.5 you can't split a kid in half so you will need to take 7 bussesA website charges $3 for each movie you download. They also charge a one-time sign-up fee of $14.99. What is the output variable?
The Output Variable is Total cost represented by c(m).
What is domain and range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
A website charges $3 for each movie you download.
They also charge a one-time sign-up fee of $14.99.
So, the input variable will be m which shows the number of movies.
and, the output variable will be c which shows the total cost.
Then, the equation models the cost c(m), is c(m)=3m+14.99
Now, putting the values for m = 0, 1, 2, ....
c(0)= 4.99, c(1)= 17.99, c(2)= 20.99
Hence, the output variable is total cost.
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This relationship can also be shown in a table. Complete the equation that represents the relationship between n and w.
Answer: w=10n+8
Step-by-step explanation:
6x10+8=68
7x10+8=78
8x10+8=88
9x10+8=98
Function or not a function?
2(x + 3) = x - 4 Linear equations
Answer: x=−10
Step-by-step explanation:
2(x+3)=x−4
Use the distributive property to multiply 2 by x+3.
2x+6=x−4
Subtract x from both sides.
2x+6−x=−4
Combine 2x and −x to get x.
x+6=−4
Subtract 6 from both sides.
x=−4−6
Subtract 6 from −4 to get −10.
x=−10
Step-by-step explanation:
2(x+3)=x−4
Step 1: Simplify both sides of the equation.
2(x+3)=x−4
(2)(x)+(2)(3)=x+−4 (Distribute)
2x+6=x+−4
2x+6=x−4
Step 2: Subtract x from both sides.
2x+6−x=x−4−x
x+6=−4
Step 3: Subtract 6 from both sides.
x+6−6=−4−6
x=−10
Examine parallelogram RSTU below.
R
S
(6x-9)⁰
(3y-x)°
0
mZR-27⁰
(2y-1)⁰
Om2S-135°
OmZT=45°
OmZU-99⁰
(4x+39)⁰
Determine which of the following values are correct. Select three that apply.
Ox-15
Oy-23
U
T
Answer:
y = 23 , ∠ S = 135° , ∠ T = 45° are correct
Step-by-step explanation:
the opposite angles of a parallelogram are congruent , then
6x - 9 = 4x + 39 ( subtract 4x from both sides )
2x - 9 = 39 ( add 9 to both sides )
2x = 48 ( divide both sides by 2 )
x = 24 ≠ 15
and
3y - x = 2y - 1 , that is
3y - 24 = 2y - 1 ( subtract 2y from both sides )
y - 24 = - 1 ( add 24 to both sides )
y = 23 ← is correct
∠ R = 3y - x = 3(23) - 24 = 69 - 24 = 45° ≠ 27°
∠ S = 6x - 9 = 6(24) - 9 = 144 - 9 = 135° ← is correct
∠ T = ∠ R = 45° ← is correct
∠ U = ∠ S = 135° ≠ 99°
What is the measure of y? 3 27 y Z * A z = [?] Give your answer in simplest form.
The required measure of x would be 9√10 units for the attached figure.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The right triangle is given in the question, as follows:
We have to determine the measure of x for the attached figure.
According to Euclidian theorem, the required solution would be as:
x² = 27 × (27+3)
x² = 27 × 30
Apply the multiplication operation,
x² = 810
Apply the square root property for both sides
x = 9√10
Therefore, the required measure of x would be 9√10 units.
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The question seems to be incomplete the correct question has been attached below.
Find the product of 1/2a and -8/3b.
using distributive law
Can a triangle have three sides whose lengths are 4.5 cm 3.8 cm 7.2 cm?
Answer:
Yes because it is a scalene triangle
Step-by-step explanation:
Please help me with my work
Answer: 27p^15 q^3
Step-by-step explanation:
Do the sides 7 cm 24 cm and 25cm form a right angled triangle give reasons?
The square of the largest number is equal to the sum of the squares of the other two numbers.
∴ Sides 7 cm, 24 cm, 25 cm form a right angled triangle.
What is meant by largest number?
Since the early modern era, English and other European languages have utilized the long and short scales as naming scales for significant numbers. Although the long scale still predominates in many non-English speaking regions, such as continental Europe and Spanish speaking nations in Latin America, the short scale is still used by the majority of English dialects today.Names of numbers greater than a trillion are rarely used in real life; instead, powers of ten are typically written as 10 with a numeric superscript in the scientific community.Some terms for very big numbers, such million, billion, and trillion, have actual human analogs and are used frequently.To learn more about largest number refer to
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The square of the largest number equals the sum of the squares of the other two numbers.
∴A right-angled triangle with sides of 7 cm, 24 cm, and 25 cm.
What does maximum number mean?Since the early modern period, English and other European languages have used major and minor scales as nomenclature scales for important numbers.
Most dialects of English still use the minor scale today, although the major scale is still prevalent in many non-English speaking regions, such as continental Europe and Spanish-speaking countries of Latin America. Over a trillion names are rarely used in real life. Instead, in the scientific community powers of 10 are usually written as 10 with a number superscript.
Terms for very large numbers, such as millions, billions, and trillions, have real human equivalents and are in common use.
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