Help please!! Geometry
Applying angle pair relationships
Answer:
m∠2 = 75°
m∠1 = 105°
Step-by-step explanation:
1. First, we should recognize that the angle that's 75° and ∠2 are alternate interior angles, formed on the interior of the opposite sides of the transversal. Alternate interior angles are congruent, so m∠2 = 75°.
2. Next, ∠2 and ∠1 are a linear pair, meaning their angle measures add up to 180°. Considering that m∠2 is 75 degrees, we just have to subtract 75 from 180, and we get the measure of ∠1.
\(180-75\) \(105\)Therefore, m∠1 = 105°.
Find the value of x in each figure.can i have help on 1 and 2
Answer:
\(\begin{gathered} 1.\text{ x=28} \\ 2.\text{ x=11} \end{gathered}\)Step-by-step explanation:
1. Notice that these angles are vertical angles which are angles opposite each other when two lines cross, they share the same vertex. Vertical angles are congruent angles.
Therefore,
\(\begin{gathered} 3x=84 \\ x=\frac{84}{3} \\ x=28 \end{gathered}\)2. In this case, the angles shown are complementary, which mean they must add up 90 degrees:
\(\begin{gathered} 46+4x=90 \\ 4x=90-46 \\ 4x=44 \\ x=\frac{44}{4} \\ x=11 \end{gathered}\)What value of n makes the equation 4(0.5n-3) = n - 0.25(12 - 8n) true? F 3 G-9 H 0 J-15
Solve n:
1. Use distributive property:
\(a(b+c)=ab+ac\)\(2n-12=n-3+2n\)2. Combine like terms:
\(2n-12=3n-3\)3. Substract 3n in both sides of the equation:
\(\begin{gathered} 2n-3n-12=3n-3n-3 \\ -n-12=-3 \end{gathered}\)4. Add 12 in both sides of the equation
\(\begin{gathered} -n-12+12=-3+12 \\ -n=9 \end{gathered}\)5. Multiply both sides of the equation by (-1):
\(\begin{gathered} (-1)(-n)=(-1)(9) \\ n=-9 \end{gathered}\)Then, the valuye of n taht makes the equation true is -9Which equation is not equivalent to
2x + 15 = 35?
A. 4/5x=8
B.2x-5=x+25
C.2x+7=27
D.4/3x=x+10/3
Answer:
B.2x-5=x+25
Step-by-step explanation:
2x+15=35 x = 10
4/5x=8 x = 10
2x-5=x+25 x = 30
2x+7=27 x = 10
4/3x=x+10/3 x = 10
HELP ILL LOVE YOU FOREVER:)
Answer:
the answer is 24
Step-by-step explanation:
i got that answer in edgenuity
Answer:
48
Step-by-step explanation:
Given the equation :
2x + 12
The best answer is 48 because when you measure the angle its equal to 48.
And we can use the equation:
2x + 12 = 48
2x + 12 - 12 = 48 -12
2x= 36
2x/ 2=36/2
x= 18
Thus we can prove abx is 48 by use of the equation and the measuting.
I REALLY HOPE THIS HELPED
Fifty Points and Brainliest!
Select all that have a proportional relationship:
Answer:
B and D both have a proportional relationship
Step-by-step explanation:
Please give brainliest
Your Welcome :)
what is x ÷ t/4 = -6/13
Answer:
look at explanation
Step-by-step explanation:
first you need to find what -6/13 is and once you do that you fill everything in pretty much
A basketball team has 15 members, and 18 of them are sixth graders what percentage of the team is in sixth grade?
Answer:
120% are sixth graders
But, If you meant to say 18 basketball players and 15 6th graders, the percentage would be around 83.3%
Picture attached below
Answer:
true
Step-by-step explanation:
hope this helps have an amazing day!
Answer:
T
Step-by-step explanation:
hope it help
What is the equation of a parabola that has a vertical axis, passes through the point (–1, 3), and has its vertex at (3, 2)?
= –216+616–4116
= –216+616–4116
=216–616+4116
=216–616+4116
Answer: y= x^2/16-6x/16+41/16
Step-by-step explanation:
The equation of a parabola will be; y = x^2/16 - 6x/16 + 41/16
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
y=a(x-h)^2 + k
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
Otherwise, we had to use calculus to get critical points, then second derivative of functions to find the character of critical points as minima or maxima or saddle etc to get the location of vertex point.
This point (h,k) is called the vertex of the parabola that quadratic equation represents.
WE need to find the equation of a parabola that has a vertical axis, passes through the point (–1, 3), and has its vertex at (3, 2)
Thus, the equation of a parabola will be;
y = x^2/16 - 6x/16 + 41/16
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lamar built a large wooden storage box. the box was in the shape of a rectangular prism, as shown below. he covered all the sides of the box with special wallpaper that cost a total of . how much did the wallpaper cost per square foot?
Without knowing the total cost of the wallpaper or the dimensions of the rectangular prism, it is not possible to determine the cost of the wallpaper per square foot.
To calculate the cost per square foot, we would need to know the total cost of the wallpaper and the total area covered by the wallpaper. Since we do not have this information, we cannot determine the cost per square foot.
In summary, the cost of the wallpaper per square foot cannot be determined without knowing the total cost of the wallpaper and the dimensions of the rectangular prism that Lamar built.
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A scientist used 1.2 L of water in an experiment. She also used olive oil in the experiment. The amount of olive oil used was 0.49 L less than the amount of water used. What was the combined amount of water and olive oil that the scientist used in the experiment?
Help
Which of the following describes the data set?
12, 16, 22, 32, 36, 42, 53
A. Minimum = 53
First quartile = 22
Median = 36
Third quartile = 61
Maximum = 12
B. Minimum = 12
First quartile = 53
Median = 36
Third quartile = 22
Maximum = 32
C. Minimum = 32
First quartile = 12
Median = 36
Third quartile = 53
Maximum = 12
D. Minimum = 12
First quartile = 16
Median = 32
Third quartile = 42
Maximum = 53
The answer is D.
Why?
Let's determine what the maximum and minumum will be, the least number is 12 and the maximum number is 53. Only data set D has the correct min and max.
three times the smaller of three consecutive even integers is four less than twice the larger
The required solution of the given statement is 0 the smaller integer and 2 for the bigger integer.
What is integer?
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.
Given:
The statement is three times the smaller of three consecutive even integers is four less than twice the larger
According to given question we have
Let the even integers be x and x + 2 .
Here, x is the smaller integer
(x + 2) the bigger integer.
By the equation is
3x =2(x + 2)-4
compare the like terms we get
x=4-4
x=0
The smaller integer=0
The bigger integer= 0+2=2
Therefore, the required solution of the given statement is 0 the smaller integer and 2 for the bigger integer.
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The rectangular coordinates of a point are given. Find polar coordinates for the point (5,573)
The polar coordinates corresponding to the rectangular coordinates (5, 573) are approximately (573.05, 90°).
Explanation:
Given rectangular coordinates of the point are (5, 573) and we need to find the polar coordinates.
Let us first recall the definition of rectangular and polar coordinates.
Definitions:
Rectangular coordinates: A rectangular coordinate system is a two-dimensional coordinate system that locates points on the plane by reference to two perpendicular axes. The coordinates of a point P are written as (x, y), where x is the horizontal distance from the origin to P, and y is the vertical distance from the origin to P.
Polar coordinates: A polar coordinate system is a two-dimensional coordinate system that locates points on the plane by reference to a distance from a fixed point and an angle from a fixed axis. Polar coordinates are written as (r, θ), where r is the distance from the origin to P, and θ is the angle formed by the positive x-axis and the line segment from the origin to P.
Now we can find the polar coordinates of the point (5, 573) as follows:
Let's first find r using the formula
r = √(x² + y²)
r = √(5² + 573²)
r = √(25 + 328329)
r = √328354 ≈ 573.05
Now, we will find θ using the formula
θ = tan⁻¹(y / x)
θ = tan⁻¹(573 / 5)
θ = 89.9595° ≈ 90°
Therefore, the polar coordinates of the point (5, 573) are approximately (573.05, 90°).
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what is 2 1/7 divided by 1 1/4
Answer: 32/35
Step-by-step explanation:
reduce the expression , if possible , by cancelling the common factors
Find the distance between the two points rounding to the nearest tenth (if necessary).
(−3,6) and (−9,−2)
Step-by-step explanation:
Distance between (−3,6) and (−9,−2):
\((x_1, y_1) \)
= coordinates of the first point
= (-3,6)
\((x_2, y_2) \)
= coordinates of the second point
= (-9,-2)
\(d = \sqrt{(x_2 - {x _1) }^{2} + (y_2 - {y _1) }^{2}} \)
\(d = \sqrt{ (- 9 - ( - 3) {)}^{2} + ( - 2 + 6 {)}^{2} } \)
\(d \: = \sqrt{ (- 6 {)}^{2} +( 4 {)}^{2} } \)
\(d = \sqrt{36 + 16} \)
\(d = \sqrt{52} \)
\(d = \sqrt{13 \times 2 \times 2} \)
\(d = 2 \sqrt{13} \)
WILL GIVE Brainiest
Write an expression equivalent to
X+5+2x+2
7+3x
I'm not sure but I just added like terms so
5+2 and 2x+x
The figure shows a planetarium's viewing room, which
is in the shape of a hemisphere.
60 ft.
The diameter of the hemisphere is 60 feet. What is the
surface area of the curved viewing area of the
planetarium? (Use 3.14 for rr. Round the answer to the
nearest tenth, if necessary. Recall that the formula for
the surface area of the curved part of a hemisphere is
SA = 2rr².)
ft²
The curved is surface area of the curved viewing area of the planetarium 188.4 ft²
What is a planetarium?
Recall that the area of a hemisphere is of two types: The curved surface area of a hemisphere = 2r2 square units.
The total surface area of a hemisphere = 3r2 square units.
This implies that the surface area of the curved viewing area of the
planetarium is 2r²
CSA = 2*3.14 * 30 ft²
Curved surface area = 188.4 ft²
In conclusion the surface area of the curved viewing area of the
planetarium is 188.4 ft²
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NEED HELP ASAP(mathematics)
Answer:
x+4
Step-by-step explanation:
pls help with these, at least up to finishing question 2 or Question 3b
Answer:
For question 3b the answer is no because the common difference is 4
Step-by-step explanation:
6,10,14,18,22,26,30,34
It will be 34 not 33
Write an equation in slope-intercept form of the line that passes through the given points.
Answer:
y = -0.5x + 1
Step-by-step explanation:
slope-intercept form is y=mx+b where m = slope and b = y-intercept
b = y value when x = 0
as shown in the chart, when x = 0, y = 1 so b = 1
m = vertical change/horizontal change
as shown in the chart, when x moves 2u right, y moves 1u down
m = -1/2 = -0.5
plugging in m and b into the formula y=mx+b, we get:
y = 0.5x + 1
Use the slope formula to identify the slope between two given ordered pairs,
1. (-6,4) and (-6,5)
2. (8,-4) and (-2,7)
4-3
Write a program that prompts the user to input an integer between 0 and 35. The prompt should say Enter an integer between 0 and 35:.
If the number is less than or equal to 9, the program should output the number; otherwise, it should output:
A for 10
B for 11
C for 12
. . .
and Z for 35.
(Hint: For numbers >= 10, calculate the ACSII value for the corresponding letter and convert it to a char using the cast operator, static_cast().)
Here's a sample program in C++ that satisfies your requirements:
```
#include
using namespace std;
int main() {
int num;
cout << "Enter an integer between 0 and 35: ";
cin >> num;
if (num <= 9) {
cout << num << endl;
} else if (num >= 10 && num <= 35) {
char letter = static_cast('A' + num - 10);
cout << letter << endl;
} else {
cout << "Invalid input." << endl;
}
return 0;
}
```
- The program prompts the user to input an integer between 0 and 35 using the `cout` and `cin` statements.
- The `if` statement checks whether the number is less than or equal to 9. If it is, it outputs the number using the `cout` statement.
- The `else if` statement checks whether the number is between 10 and 35 (inclusive). If it is, it calculates the corresponding letter using the ASCII value for 'A' and the given number. The `static_cast` statement converts the calculated value to a character. Finally, the program outputs the letter using the `cout` statement.
- The `else` statement handles the case when the input is outside the range of 0 to 35. It outputs an error message using the `cout` statement.
- The program ends with the `return 0` statement.
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please help TWO questions
Answer:
4x+68=180
4x=180-68
4x=112
4. 4
x= 28°
question 2 has been solved that way because 5x+70°=180 because they are on a straight line and angles on a straight line are 180°
During a parent meeting, Deborah is surprised when the parents of a child become defensive. The child, Devon, is a high achiever but disruptive during class, and Deborah felt that she was careful to stress the positive as well as the negative about Devon's behavior. What advice would be best to give Deborah regarding her next meeting with the parents
In Deborah's next meeting with the parents of Devon, it would be advisable for her to approach the situation with empathy, understanding, and a collaborative mindset.
Here are some pieces of advice to guide her:
Create an open and non-confrontational atmosphere, Deborah should aim to create a safe and welcoming environment where the parents feel comfortable expressing their concerns and opinions. Active listening and acknowledging their perspective can help in fostering open communication.
Focus on a balanced discussion, Deborah should emphasize the positive aspects of Devon's achievements while addressing the disruptive behavior during class. By highlighting Devon's strengths and accomplishments, Deborah can show that she recognizes and values his potential, but also wants to work together to address the disruptive behavior.
Seek parental input and involvement, Inviting the parents to share their insights, concerns, and suggestions regarding Devon's behavior can make them feel valued and involved in the process. This collaborative approach can foster a sense of partnership between the teacher and the parents in supporting Devon's overall development.
Offer specific observations and solutions, Deborah should provide specific examples of Devon's disruptive behavior and its impact on the learning environment. Additionally, she can suggest strategies or interventions that could help address the behavior and improve Devon's classroom experience. This shows that she is proactive and invested in finding solutions.
Consider additional support or resources, If necessary, Deborah can discuss the possibility of involving other professionals, such as school counselors or psychologists, to provide additional support and insights into Devon's behavior. This collaborative approach can lead to a more comprehensive understanding of the situation and better support for Devon's needs.
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What is substitute and example?
A substitute is a good or service that buyers can quickly swap out for another. For instance, a one-dollar bill can be used in place of another dollar bill.
In business and economics, a replacement, or substitutable good, is a good or service that consumers perceive as just being substantially the same as or reasonably similar to some other good. Consumers are given options and alternatives through substitutes, which also spur competition and lower prices in the market.
Here are a few examples of replacement goods:
1. A $1 bill can be exchanged for four quarters.
2. Coke against Pepsi
3. Regular vs. premium gas
4. Butter and lard
5. Tea and coffee
6. Apples and oranges
7. Comparing driving a car to riding a bike
8. Books in general and e-books
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Use the table or s = 50m + 200
9. What is the savings after 6 months?
Months Savings
0 $200
1 $250
2 $300
3 $350
11. What is the slope of the line y=1/2x-2
a.-2 b. -1/2
c.1/2
d. 2
ans. (c) 1/2
given line,
y = 1/2 x -2
we know that the slope form of the line is given by
y =mx+c
comparing both equations we get
m= 1/2
hence, the slope is 1/2
A woman bikes 5 kilometer to the east going to school and then walks on 9 kilometers northward going to church. How far is she from the starting point which is her house ?solution and answer
A woman is 10.296 km far from the starting point which is her house after she walks on 9 kilometers northward going to church.
A woman bikes 5 kilometer to the east going to school
After that she walks on 9 kilometers northward going to church.
So she forms a right angle triangle ,
So the distance she is away from her home can be found out by Using Pythagoras theorem:
AB² = AC² + BC²
AB² = 5² + 9²
= 25 + 81
AB² = 106
AB = 10.296 km
Therefore, she is 10.296 km away from the starting point .
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