Answer:
substitution
Step-by-step explanation:
Vertical angles are applicable for parallel lines.
Here the scenario is triangles share a side means they have one common side.
So we can substitute that sides triangle ratios to another triangle
When two triangles share a side, option D: Alternate Interior Angles is the most acceptable notion to utilize.
Alternate Interior Angles are a pair of angles that lie on opposite sides of the transversal and inside the two lines. When two triangles share a side, the shared side can be considered as the transversal line. The internal angles created by the shared side and the other triangle sides can be compared or connected to one another.
By examining the alternate interior angles, one can draw conclusions about the triangles' congruence or similarity, apply angle relationships such as the Corresponding Angles Theorem or the Alternate Interior Angles Theorem, and solve for unknown angles or sides using properties of parallel lines.
In conclusion, when two triangles share a side, option D: Alternate Interior Angles is the most acceptable notion to utilize.
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When 9
is written in simplest radical form, which value remains under the radical?
SARE
3
6.
ОООО
9
27
answer i don't get it........
Answer:
140 words
Step-by-step explanation:
If Tim can read 28 words per minute and we are trying to find how many words he can read in five minutes, we simply have to multiply 28 x 5 = 140 and we got our answer.
please I need help with this question
a=6cm b=8cm h=4Cm
we have a+b/2×h
=8+6/2×4
14\2×4
7×4
28
Now, a of triangle = 1\2 bh
1\2×5cm×4Cm
10
then a of trapezoid = a1+a2
=28+10=38# Answer
The idea of a rigid motion is a significant concept in geometry. Explain what a rigid motion is and why it is essential. Using the diagram below, identify the specific rigid motions used for the following shapes.
A rigid motion is a type of motion in which all points on a given object move at the same time, in the same direction, and cover the same distance.
A rigid motion is a type of motion in which all points on a given object move at the same time, in the same direction, and cover the same distance. It is an essential type of motion used in geometry due to the rigid transformation of objects considered in the topic.
Rigid transformation is a method required to change the position, size, orientation, or dimensions of a given shape. This implies that the given shape (object) undergoes the appropriate transformation into its image. Types of rigid transformation are translation, rotation, dilation, and reflection.
Considering the given question, the quadrilateral performed a rigid motion. This was done by first reflecting it about the vertical axis, and now translating it 2 units downwards towards the horizontal axis.
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what is square root of 50
Answer:
7.071067811865475
Step-by-step explanation:
Help what type of function is this
what is the area of the triangle? (-5,6) (1,3) (-5,3)
Aleks initial knowledge check
pls help
The area of the triangle is given as follows:
9.3 units².
How to obtain the area of a triangle?The area of a triangle is obtained multiplying the triangle's base by the triangle's height and dividing by 2, that is:
A = bh/2.
Considering segment (-5,3) to (-5,6) as the base, the base length is given as follows:
b = 6 - 3 = 3.
The midpoint of the base segment is given as follows:
(-5,4.5).
The height is given by the distance between the third vertex and the midpoint, hence:
h = sqrt[(-5 - 1)² + (4.5-3)²]
h = 6.2.
Hence the area is of:
A = 0.5 x 6.2 x 3
A = 9.3 units².
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One angle of a parallelogram measures 15º. What are the measures of the other three angles in
the parallelogram?
Answer:
The opposite angle is 15 degrees. So that leaves you with 330 degrees for the last two sides which is 115 degrees each.
Find the value of the power. 4 to the 4th power
Answer:
4^4 = 256
Explanation:
To evaluate th expression 4^4, we mulitpy out
\(4\times4\times4\times4\)\(16\times16\)\(=256\)which is our answer!
Please help. What is the area?
The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle = 56 km²
What is the Area of a Composite Figure?Find the area of each shape that make up the figure, then add up to get the area of the composite figure.
The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle
Area of rectangle 1 = (length)(width) = (6)(3) = 18 km²
Area of rectangle 2 = (length)(width) = (7 + 3)(2) = 20 km²
Area of triangle = 1/2(base)(height) = 1/2(10 - 4)(6) = 18 km²
The area of the composite figure = 18 + 20 + 18 = 56 km²
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Expand the following equation (2x-3)^2
Answer:
4x^2 - 12x + 9
Explanation:
(2x - 3)^2
(2x - 3)(2x - 3)
2x(2x - 3) -3 (2x - 3)
4x^2 - 6x - 3 (2x - 3)
4x^2 - 6x - 6x + 9
4x^2 - 12x + 9
Given two parallel lines, same side interior angles are supplementary. Fill
in the blanks with the correct answers.
1. Vertical angles are
2. Same side exterior angles are
3. Alternate side interior angles are
4. Alternate side exterior angles are
5. Corresponding angles are
Can anyone help with problem 5?
Answer:
Other leg: 25 cm
Hypotenuse: 25√2 cm
Step-by-step explanation:
Hi there!
We are given a 45°-45°-90° triangle, and one leg (a side that makes up the right triangle) measures 25 cm
We want to find the length of the other sides
First, let's find the length of the other leg
A 45°-45°90° triangle is actually an isosceles triangle, and if it was to be drawn, the base angles are 45 and 45 degrees
That means the legs of the right triangle are actually the legs in the isosceles triangle as well
So the other leg is also 25 cm
Now, let's find the length of the hypotenuse, which is the side OPPOSITE from the 90° angle
You can solve for the other side using Pythagorean Theorem if you wish, however, there is a shortcut to finding the hypotenuse
In a 45°-45°-90° triangle, if the length of the legs are a, then the hypotenuse is a√2 cm
So that means the length of the hypotenuse in this case is 25√2 cm
Hope this helps!
express in simplest radical form
V24
Answer:
not understanding meaning of your question
Step-by-step explanation:
sooooooooooooorrrrrrrrrrrrrrrrrryy
Ms J is planning on running from robinswod to Walmart. Below shoes the location of each on a coordinate grid. The distance between each grid line represents 1 mile
We would determine the distance from Robinswood to walmart by applying the formula for determining distance between two points which is expressed as
\(\begin{gathered} \text{Distance = }\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ \text{From the information given, } \\ x1\text{ = }3,\text{ y1 = - 5} \\ x2\text{ = }-\text{ 4, y2 = - 5} \\ \text{Distance = }\sqrt[]{(-4-3)^2+(-5--5)^2} \\ \text{Distance = }\sqrt[]{(-7)^2+(-5+5)^2} \\ \text{Distance = }\sqrt[]{49+0^2} \\ \text{Distance = 49 miles} \end{gathered}\)At a meeting for math enthusiasts, two entrance fees are charged. Anyone who knows the code word “algemath” only pays 2 euros. Those who are unlucky and do not know the code word pay three euros more. You know that 7338 people were present and that the cashier received 17487 euros. How many people knew the password?
Number of People who knows the Code are 6401
What is Linear Equation in Two Variable?
A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Solution:
Let, Number of People who kows the Code be x
Number of Peoplee who do not know the Code be y
According to the Question:
x + y = 7338 ----------(i)
2x + 5y = 17487 ----------(ii)
Multiplying Equation (i) by 2
2x + 2y = 14676 ---------(iii)
Substracting Equation (iii) from Equation (ii)
3y = 2811
y = 937
This means x = 6401
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Brand A has a box of 25 forks for 1.99 and Brand B has a box of 42 totals for 3.89. What is the unit price for each brand and what brand is a better buy based on unit price
Answer:
Brand A
Step-by-step explanation:
Brand A has a box of 25 forks for 1.99
Take the price per fork
1.99 /25 = .0796
.08 per fork
Brand B has a box of 42 totals for 3.89
3.89 / 42
.092319048
.09 per fork
You can bake 4 cakes in 3 hours if you continue at the same rate how many hours will it take you to bake 24 cakes
Answer:18
Step-by-step explanation:
4x6=24 3x6=18 hours
Answer: 32 cakes
Step-by-step explanation: Divide 24 by 3 and you get 8 so multiply 8 by 4 and get 32.
Help please xxxxxxxxx
SOMEBODY HELP ME ASAP PLSSSS
Answer:
A
Step-by-step explanation:
When finding out which number is the greatest, I would convert these numbers to numerals with decimals for easier comparison.
3\(\sqrt{5}\) is approximately 6.71.
6\(\frac{1}{4}\) is 6.25
6.55 is, well 6.55.
From here, we can tell that 6.71 is the greatest, followed by 6.55 and 6.25 is the smallest. Thus, the order in descending order should be 3\(\sqrt{5}\), 6.55 then 6\(\frac{1}{4}\), which is Option A.
Is 2x2 and (2x)- equivalent expressions? Why or why not?
Answer:
im saying no
Step-by-step explanation:
because 2x usaully means 2x1 because there isnt any other nuber to maje it mean something like if i had 2x+3=7+2 than i would hahve to solve it for x but the step before x would give me the answer but i say no because there is no proof hope this helps sorry if its confusing lmk
20 points show work please
A hot-air balloon is 1200 feet off the ground and its altitude is slowly changing at a constant rate of −7 1/2 feet per second.
How many seconds, s, will it take for the balloon to drop to below 3 1/0 feet?
Drag and drop a symbol and value to correctly complete the solution to this inequality.
Answer: s is \(> 118 \frac{2}{3}.\)
Step-by-step explanation:
The air balloon will have to fall more than 890 feet for it to reach an elevation below 300 feet. It falls at a rate of 7.5, so 890/7.5=118.6666666666, which is 118 and 2/3. The answer is positive because time can never be negative.
a) In a certain lottery game you choose a set of six numbers out of 45 numbers. Find the probability that none of your numbers match the six winning numbers. (4 pts)
b) An experiment consists of picking at random a bit string of length four. Consider the following events:
E: the bit string chosen begins with 01;
E2: the bit string chosen ends with 10.
Determine whether E, and E₂ are independent. Show your work. (6 pts)
a) The probability of not matching any of the six winning numbers is the probability that all six numbers chosen by the player are not among the six winning numbers. The probability of choosing a number that is not a winning number is 39/45 since there are 45 total numbers and only 6 are winning numbers. The probability of choosing six non-winning numbers is:
(39/45) x (38/44) x (37/43) x (36/42) x (35/41) x (34/40) = 0.4361
hence, the probability that none of the player's numbers match the six winning numbers is approximately 0.4361.
b) To determine if events E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities.
The probability of E, the event that the bit string chosen begins with 01, is 1/4. This is because there are four possible bit strings that begin with 01: 0100, 0101, 0110, and 0111, and there are 16 possible bit strings in total (2^4).
The probability of E2, the event that the bit string chosen ends with 10, is also 1/4. This is because there are four possible bit strings that end with 10: 0010, 0110, 1010, and 1110.
The probability of both E and E2 occurring is the probability of choosing a bit string that begins with 010 and ends with 10. There are two such bit strings: 0101 and 0100. Since there are 16 possible bit strings, the probability of both E and E2 occurring is 2/16 = 1/8.
To determine if E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities. That is, we need to check if:
P(E and E2) = P(E) x P(E2)
Substituting the probabilities we have calculated, we get:
1/8 = (1/4) x (1/4)
Since this equation is true, we can conclude that events E and E2 are independent.
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These signs give information about two different towns.
Study these signs carefully. Then, answer the questions and complete the statements
about them below.
Use the drop-down menus to complete each statement.
Answer:
In which town does the total number have meaning?
Answer: Town B
For Town A, it does not, cannot, does not.
For Town B, does, can, does.
What is the area of a rectangle with side lengths of 6/8 meter and 4/10 meter
Answer: The area is 3/10
Step-by-step explanation: The area of a rectangle is length*width, so you multiply (6/8)*(4/10), multiply the numerators and denominators. It simplifies to 24/80, then reduce the fraction, you get 3/10.
Over the last three evenings, jina received a total of 84 phone calls at the call center. The first evening, she received 9 more calls than the second evening. The third evening, she received 3 times as many calls as the second evening. How many phone calls did she receive each evening?
Answer: 21
step by step explanation:
say you gave the evenings letters it would help make more sense of it for example
X, Y, and Z represents the 1st , 2nd, and 3rd evenings respectively
X + Y + Z = 85
Y = 3Z
X = z+5
substituting the second and third equations into the first:
z+5 + 3z + z = 85
5z + 5 = 85
5z = 80
z = 16
y = 48
x = 21
Find Value of x. The diagram is not to scale.
Answer:
x = 45
Step-by-step explanation:
180 - 106 = 74
74 + 61 = 135
180 - 135 = 45
45 = x
the result of two forces acting on a body has a magnitude of 80 pounds. The angles between the resultant and the forces are 20 degrees and 52 degrees. find the magnitude of the large force
Answer:
Larger force= 66.28 pounds
Step-by-step explanation:
The angle of the resultant force 80 pounds = 180-(52+20)
The angle of the resultant force 80 pounds = 180-72
The angle of the resultant force 80 pounds = 108°
The larger force is the force with 52°
Let the larger force be x
Magnitude of the larger force
x/sin52 = 80/sin108
X= sin52 *(80/sin 108)
X= 0.7880*(80/0.9511)
X = 0.7780*(84.1131)
X = 66.28 pounds
Bobby decides to sell lemonade on a hot summer day. If Bobby sells 20 glasses of lemonade for $2.00 per cup, and his average total cost is $1.70, what are Bobby's economic profits for the day?
Bobby's economic profit for the day is $6.
Bobby's economic profit is total revenue less total cost.
Economic profit = total revenue - total cost
Total revenue = price x glasses of lemonade sold
20 x $2 = $40
Total cost = average total cost x glasses of lemonade sold
$1.70 x 20 = $34
Economic profit = $40 - $34 = $6.
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Zander was given two functions: the one represented by the graph and the function f(x) = (x + 4)2. What can he conclude about the two functions?
They have the same vertex.
They have one x-intercept that is the same.
They have the same y-intercept.
They have the same range.
Answer:
C.They have the same y-intercept.
Step-by-step explanation:
Edge 2021
The conclusion about the two functions is (c) they have the same y-intercept.
What are functions?Functions are used to represent equation, graphs and tables
The equation of the function is given as:
\(f(x) = (x + 4)^2\)
Set x = 0, to calculate the y-intercept
\(f(0) = (0 + 4)^2\)
Evaluate
\(f(0) = 16\)
From the complete question, the graph crosses the y-axis at y = 16
This means that both functions have the same y-intercept
Hence, the true statement about the functions is (c) they have the same y-intercept.
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