Step-by-step explanation:
Head opposite angles
2x= 3x-42
x= 42°
the angles are 84°
Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x is 42 and the measure of the two given angles is 84° each.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.
The two of the given angles are vertically opposite angles, therefore, the measure of the two given angles will be the same.
(2x)° = (3x - 42)°
2x = 3x - 42
Subtract 2x from both sides of the equation and add 42 to both sides of the equation,
2x - 2x + 42 = 3x - 42 - 2x + 42
42 = 3x - 2x - 42 + 42
42 = x
Therefore, the value of x is 42. Now, the measure of each angle can be written as,
(2x)° = 2(42) = 84°
(3x - 42)° = 3(42) - 42 = 84°
Hence, the value of x is 42 and the measure of the two given angles is 84° each.
Learn more about Vertical Angles here:
https://brainly.com/question/24460838
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Two planes A and B start from the same place and move in different directions making an angle of 50° between them the speed of plane A is 200 mph and the speed of plane B is 300 mph the two planes are blank miles apart after one hour?
Answer:
The distance between them is 230.65 miles
Step-by-step explanation:
Here we use the Cosine formula
[tex]a^2 = b^2 + c^2 - 2bc\ cos\ A\\\\a^2 = 200^2 + 300^2 - 2\times 200\times 300cos50^{\circ}\\\\= 40,000 + 90,000 - 120,000cos50^{\circ}\\\\= 130,000 - 120,000 \times 0.64\\\\= 130,000 - 76,800\\\\a^2= 53,200\\\\a = \sqrt{53,200} \\\\= 230.65\ miles\ per\ hour[/tex]
Now the distance for one hour is
= 230.65 ÷ 1
= 230.65 miles
Evaluate 2x when X4
what’s the answer for this?
la pirámide tiene una base cuadrada, por tanto, tiene 4 caras laterales triangulares. hallar el área y el volumen sabiendo que tiene de base 8cm y de altura 13 cm
Answer:
i think i know th problem but i do not understand your language i sorry
Step-by-step explanation:
(4 x 5)2 - 6 + 3 = ?
Answer:37
Step-by-step explanation:You multiply the ones that are in the parenthes
The Answer is 37, hope this helps.
Help me plssssss I need help
the 100th term of the sequence with the term -1-4n
Given:
The terms of a sequence are given by
[tex]a_n=-1-4n[/tex]
To find:
The 100th term of the sequence.
Solution:
We have,
[tex]a_n=-1-4n[/tex]
Putting n=100, we get
[tex]a_{100}=-1-4(100)[/tex]
[tex]a_{100}=-1-400[/tex]
[tex]a_{100}=-401[/tex]
Therefore, the 100th term of the given sequence is -401.
Which value of x makes the value of the expression x - 11.5 a negative number?
Answer:
11
Step-by-step explanation:
The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so also has 11 as an absolute value.
Enter the value for x that makes the equation ž (4x – 8) + 3x = 36 true.
X=44/7
Step-by-step explanation:
4x-8+3x=36
7x-8=36
7x=36+8
7x=44
X=44/7
Help need answers quick (unprofessional behavior and wrong answers will get reported)
Answer:
step 2 is the answer. when you start the question it's already in pemdas order. 48÷6 equals 8 then multiply it by the other 8 then you can add that quotient to the 10 which is 74 then subtract it by 7 and you get 67. step 2 goes the wrong way and ads the 8 with the 10 before multiplying the 8 by the 8 making everything go in wrong turns.
ANSWER THESE TWO QUESTIONS CORRECTLY TO BE MARKED BRAINILEST
Answer:
In this example, if you buy an item at $18.99 with 25% discount, you will pay 18.99 - 4.7475 = 14.24 dollars.
Step-by-step explanation:
An equation is shown below:
5(2x - 8) + 15 = -15
Write the steps you will use to solve the equation and explain each step. i need the steps plzzzz
Step-by-step explanation:
10x-40+15=-15
10x=-15-15+40
10x=10
x=1
Answer is 1
Select the correct answer.
There were 800 farmers' markets initially in the USA in 2012. In 2013, the number of farmers' markets was 1.25 times the initial number of farmers' markets. Then, in 2014, the number of farmers' markets was 1.25 times the number of farmers' markets the previous year. If this pattern continues, which of the following graphs represents the number of farmers' markets in the USA over time?
Answer:
Graph Z or D
Step-by-step explanation:
Starts at 800 and goes up to around 4 and ends
Answer:
its Z
Step-by-step explanation:
A satellite orbits in an elliptical path such that the Earth's center is one of the foci of the ellipse. The distance from the center of the orbit to the Earth's center is 4,100 miles. The foci are halfway between the center and the major axis vertices. Which equation can be used to model the path of this satellite's orbit?
Answer:
[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]
Step-by-step explanation:
The equation of the ellipse with centre at origin and major axis along the x-axis is:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:
a² = c² + b²
Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).
Hence c = 4100
Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.
a = 2c = 2(4100) = 8200 miles
We can get the distance from the center to the minor axis vertices (b), using:
a² = c² + b²
8200² = 4100² + b²
b² = 8200² - 4100²
b² = 50430000
b=√50430000
b = 7101.4 miles
The ellipse equation is:
[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]
Answer:
[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]
Step-by-step explanation:
Danny has a rectangular rose garden that measures 8m by 12.5m. One bag of fertilizer can cover 16m2. How many bags will he need to cover the entire garden?
Answer:
do your work and ask a teacher or parent for help to solve it and stop asking random strangers for the answer and learn how to do it. <3
Step-by-step explanation:
CAN SOMEONE PLEASE CHECK MY ANSWER!!!!!
Answer:
It is not correct, but very, very close, so great job!!
Step-by-step explanation:
When doing graphing of this sort, I always use Desmos to check my answers, so just get the website and go to the graphing calculator, type in the function, and you should get your graph.
The only thing you missed was that the other two points are (-3,-1) and (3,-1), rather than 3 and -3.
helppppppppppppppppppppppppppppppp
The volume of a cylinder is 72 71 cm. If the radius is 3 cm, what is the height of the cylinder?
0
3 cm
0
0
0
O A. 4 cm OB. 8 cm O C. 12 cm O D. 24 cm
0
0
Answer: 8 cm
Step-by-step explanation: 3^2 = 9 So, 72/9 = 8
A cone has a volume 7065in and a height of 30 in what is the radius of the cone?use 3.14 for pi
Answer:
15 inches.
Step-by-step explanation:
V = 1/3 pi r^2 h
7065 = 1/3 * 3.14 * 30 * r^2
r^2 = 7065 / (1/3 * 3.14 * 30)
r^2 = 7065 / 31.4 = 225
r = sqrt 225 = 15.
PLEASE HELP ASAP
The table shows values for functions f(x) and GX(x) what is the solution to f(x) = g(x)
Expand and simplify (x + 4)(x-7)
Answer.
(x+4)×(x-7)
= x^2 - 7x + 4x - 28
= x^2 - 3x - 28
I hope it's helps you then please mark me as Brainlist so I can get next Rank Ace.
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Simultaneous equations
2x+4y=1
3x+5y=7
Answer:
x = 11.5, y = -5.5.
As an ordered pair this is (11.5, -5.5).
Step-by-step explanation:
2x+4y=1 Multiply this by 3:
3x+5y=7 Multiply this by -2.
6x + 12y = 3
-6x - 10y = -14 Adding these 2 equations:
0 + 2y = -11.
y = -11/2
y = -5.5.
Now plug this into the first equation:
2x + 4(-5.5) = 1
2x = 1 + 22
x = 23/2
x = 11.5.
3x + 8= 3x+
What value could you write in after 3x that would make the equation
true for:
1. no values of x ?
2. all values of x ?
3. just one value of x?
Answer:
Step-by-step explanation:
Answer:
(see my explanation)
Step-by-step explanation:
Basically,
For no value it can be anyhting but 8.
For all values it HAS to be 8.
For just one anything that has "x" in it.
Example:
1. -9
2. +8
3. 7+x or 2x
NOTE: this varies depending on the varible after the x value. (It's not always 8)
☝Example:
5x+2 = 5x + _____
1. 3
2. +2
3. x
what is the image of (8,7) after a reflection over the line y=-x?
Answer:
(-7,-8)
Step-by-step explanation:
The original point is (8,7)
To reflect it, just switch their places and change their signs.
So, (-7,-8)
Help me please !!!
And thank you
Answer:
804.4
Step-by-step explanation:
the formula for the volume of a cube is the side length cubed,
so:
(9.3)(9.3)(9.3) = 804.357
then round it to 804.4
hope this helped!
3(2x+6)
Distributive Property
Answer:
6x+18
Step-by-step explanation:
Multiply 3 to all the numbers on the parenthesis
Hope this helps!
evaluate the expression 82+(-17)-(-53)
Answer:
Step-by-step explanation:
82 - 17 + 53
= 188
Answer:
118
Step-by-step explanation:
Silver scored 48 points in 4 basketball games. If Silver scored the same amount in each game how many points would he score in 10 games?
Answer: 120
Step-by-step explanation: He scores 12 points each game. 12 x 10 = 120 Good luck! :D
which number is less than 909 and greater than 868
Answer:
There is multiple answers.
869-908
Step-by-step explanation:
869-908 is less than 909, but greater that 868.
The differnce between a number divide by 3 and 4 is 20
Answer:
(n/3)/4 =20
Step-by-step explanation:
i think this is what your looking for if not im sorry
have a blessed day :)
PLEASE HELP!!!
Write a simplified equation to solve for X.
Using the equation, solve for x
Answer:
x = 40
Step-by-step explanation:
x + 100 + x = 180 {Straight line angles}
2x + 100 = 180 {subtract 100 from both sides}
2x = 180 - 100
2x = 80 {Divide both sides by 2)
x = 80/2
x = 40
Answer:
x=40
Step-by-step explanation:
2x+100=180
2x=180-100
2x=80
x=40
24% students in a clan were absent in a day .If 38 students were present ,what is the total strength in the clan
Answer:
50 students
Step-by-step explanation:
24% students in a clan were absent in a day .
Hence, the Percentage of students present is calculated as:.
= 100 % - 24 %
= 76%
From the question, we know that:
If 38 students were present ,what is the total strength in the clan
The total strength of the clan = Total number of students. This is calculated as:
76% × x = 38 students.
76/100 × x = 38
76x /100 = 38
Cross Multiply
76x = 38 × 100
x = 3800/76
x = 50 students