Step-by-step explanation:
Angles XVW and XYZ are congruent, and so are angles VWX and XZY by the alternate interior angles theorem.
This means that triangle VWX is similar to triangle YZX.
So, since corresponding sides of similar triangles are proportional, VW/XY = WX / XZ.
120/8 = 15 = WX / 6.
So the width is 90 m.
a porsche, can travel 576 m in 32 s. what is its average speed?
Step-by-step explanation:
Displacement = 576 m
Time taken = 32s
Now
[tex]average \: speed = \frac{distance \: travelled}{time \: taken} \\ = \frac{576}{32} \\ = 18 m/s[/tex]
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
To use the Pythagorean theorem:
⇒ define Pythagorean theorem
(look at the diagram attached for a better understanding)
Information Given:
length of the two legs: 5, 9Information Wanted:
length of hypotenuseSolve:
[tex]5^2+9^2=hypotenuse^2\\hypotenuse^2 = 5^2 +9^2 = 25 + 81 = 106\\hypotenuse = 10.29[/tex]
Rounded to nearest tenth:
Answer: Length of hypotenuse is 10.3
Hope that helps!
Question 7 options:
5/7
7/5
2
9/7
Answer:
5/7.
Step-by-step explanation:
The rise = 5 and the corresponding run si 7.
Answer:
5/7
Step-by-step explanation:
so we start at the point (0,0). the slope is essentially
Rise/Run
so in this graph we see a point of (7,5)
the rise was 5 along the y axis and the run was 7 along the x axis.
so 5/7 is correct
whats -2( 20x + 2) = -36
Answer:
[tex]x= \dfrac 45[/tex]
Step by step explanation:
[tex]-2(20x+2) = -36\\\\\implies 20x +2 = \dfrac{-36}{-2} = 18\\\\\implies 20x = 18 - 2=16\\\\\implies x = \dfrac{16}{20}=\dfrac{4}5[/tex]
What is the distance between points (8,3) and (53,31) on a coordinate plane?
Answer:
53 units
Step-by-step explanation:
Let [tex](x_1,y_1)\rightarrow(8,3)[/tex] and [tex](x_2,y_2)\rightarrow(53,31)[/tex] to use the distance formula:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(31-3)^2+(53-8)^2}\\\\d=\sqrt{(28)^2+(45)^2}\\\\d=\sqrt{784+2025}\\\\d=\sqrt{2809}\\\\d=53[/tex]
Thus, the distance between the two points is 53 units
PLSSSSS HELP!!!!
I WILL GIVE BRAINLIEST!!!!
Answer:
2.924
Step-by-step explanation:
First you'll solve the parenthesis:
...- (5.5-5.5)
...-(0)
Now solve the equation:
[tex]\sqrt[3]{5^{2} - 0}[/tex]
[tex]\sqrt[3]{25}[/tex]
Now solve fully
I hope this helps :)
Answer:
the answer is 3 times the square root of 27
Step-by-step explanation:
7.9, 7.8, 7.7, 8.8, 9.2, 8.7, 7.3, 8.0, 7.9, 7.6
What is the Mean??
Answer:
8.09
rounded to the nearest tenth ; 8.1
Step-by-step explanation:
Mean is adding all the data together than dividing by the number of data points
7.9 + 7.8 =
15.7 + 7.7 =
23.4 + 8.8 =
32.2 + 9.2 =
41.4 + 8.7 =
50.1 + 7.3 =
57.4 + 8.0 =
65.4 + 7.9 =
73.3 + 7.6 =
80.9
80.9 / 10 = 8.09
rounded to the nearest tenth = 8.1
Can someone help me please, its for plato algebra 2-1
Answer:
5
Step-by-step explanation:
Simplification:
[tex]\sqrt{2^3-7} + |-4|[/tex]
[tex]\sqrt{1} + 4[/tex]
1 + 4
5
PLS HELPPPPPPP
A, B and C line up randomly to buy tickets. Find the probability that A is beside C in the queue
Answer:
Sample Space = {(ABC), (ACB), (BAC), (BCA), (CAB), (CBA)}
= 6
Instances when A is besides C {(ACB),( BAC),( BCA), ( CAB)}
=4
P( A is besides C)= 4/6
= 2/3MARK ME AS BRAINLISTHEL PLS ITS MY HOMEWORK AND I REALLY NEED HELP
Answer and explanation:
Take the area formula:
A = L * W
Then manipulate it to fit the context of which unknown you are finding:
Problem 1
[tex]\dfrac{36 = 4 * W}{4}[/tex]
[tex]9 = W[/tex]
So, the length of side c is 9 mm.
Problem 2
[tex]\dfrac{21 = W * 21}{21}[/tex]
[tex]1 = W[/tex]
So, the length of side a is 1 m.
Problem 3
[tex]\dfrac{49 = 7 * W}{7}[/tex]
[tex]7=W[/tex]
So, the length of side t is 7 cm.
An equation is shown below: 3(2x − 7) = 9
Part A: How many solutions does this equation have?
Part B: What are the solutions to this equation? Show your work.
Answer:
1 solution
Step-by-step explanation:
3(2x-7)=9
dustribute: (3)(2)+(3)(-7x)=9
6+-21x=9
subtract 6 from both sides: -21x=3
Divide both sides by -21: x=-1/7
so your 1 solution is x = - 1/7
There are 1,000 balls in a container. All of the balls are the same size and shape. In the container, there are 400 red balls; 250 orange balls; 100 green balls; and 250 yellow balls. A student will pick one ball at random from the container. What are the probabilities that the student will pick a ball that is either red, orange, or green? Select the three correct probabilities.
A) Red = 1/4
B) Red = 0. 4
C) Orange = 1/4
D) Orange = 0. 4
E) Green = 0. 1%
F) Green = 10%
How can you determine which part of the triangle is the base and which is the height?
Determine Number of Solutions in System
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
As both left side is same
Slopes are equalThere is no solutions .
Answer:
no solutions
Step-by-step explanation:
Given equations:
Equation 1: [tex]-x+y=8[/tex]Equation 2: [tex]2x-2y=-14[/tex]Rewrite the given equations to make y the subject:
Equation 1
[tex]-x+y=8[/tex]
[tex]\implies y=x+8[/tex]
Equation 2
[tex]2x-2y=-14[/tex]
[tex]\implies 2y=2x+14[/tex]
[tex]\implies y=x+7[/tex]
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
(where m is the slope and b is the y-intercept)
As both equations have the same slope, the lines are parallel and therefore there is no solution to the system of equations as the lines do not intersect.
Help me with this assignment please I don’t understand it
a florist sold bouquets of red roses to 15 of the first 20 customers who came into his shop. What is the experimental probability how many bouquets of red roses should the florist express to sell on a day with 120 customers?
Answer: ✨So I divided. 120 by 15 and got 8. I then multiplied it by 20 and got 160 bouquets✨
Step-by-step explanation: Still stuck? Get 1-on-1 help from an expert tutor now.
-2x+4y=28
-3x +2y = 6
Solve for x
Answer:
x=4, y=9
Step-by-step explanation:
Solve with substitution.
multiply (x-3)(x-6) with steps please
32. A student is in the process of solving an equation. The original equation and the first step are shown
below.
Answer:
Step-by-step explanation:
The student used the commutative property of addtion on the right hand side, which is correct because reordering the addends doesn't affect the value of the expression.
The student used additive commutative property for the first step.
What is an additive commutative property?According to this property, when two numbers or integers are added, the sum remains the same even if we change the order of numbers/integers. This property is also applicable in the case of multiplication. It can be represented as; a + b = b + a.
The student used a + b = b + a
3a + b = 2 + 7 - 5a = 2 - 5a + 7
Because add two numbers, exchange the position of the addend, and sum of them remain same.
This is a additive commutative property.
Hence, the student used additive commutative property for the first step.
Learn more about additive commutative property here
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A repairman charges a flat fee of $50 to come to a customer's house, plus a charge per hour for any work completed. The repairman charged a customer $154 after 4 hours of work. Which function will calculate the cost of the repairman after x hours of work?
Answer:
50 - 4x = 154;
Step-by-step explanation:
50 - 4x = 154
154 - 50 = 104
104 / 4 = 26
x = 26
Riccardo Frierson deposits $1,200 in savings account. The account pays a 3.5% annual interest rate. He makes no other deposits or withdrawals. How much simple interest does his account earn in 6 months?
Answer: 25
Step-by-step explanation:
if right I might mark brainiest. try to solve it if you dare x3+y3+z3=k
Answer:
3(x+z+y)=k
Step-by-step explanation:
help pls
find x and y
Answer:
x = 8, y = 6/√3.
Step-by-step explanation:
The smaller triangle and the larger triangle are similar.
4 / 4√3 = (x - 6) / y
1/√3 = (x - 6) / y
Also
y/6 = 1/√3
⇒ √3y = 6
⇒ y = 6/√3
Substitute for y in the first equation:
1/√3 = (x - 6) / 6/√3
⇒ 1/√3 * 6/√3 = x - 6
⇒ x - 6 = 2
⇒ x = 8
Find the length indicated. Round answer to the nearest tenth.
Please and thank you so very much!!!!! See picture for the full problem.
Answer:
18.1
Step-by-step explanation:
All radii of a circle are congruent (same length), which means if we draw in a radius from the center to the end of the 16.3, it would be the same length of x.
Now we can use sa very simple theorem.... the pythagorean therom!
[tex]7.9^{2} + 16.3^{2} = x^{2} \\62.41 + 265.69 = x^{2} \\328.1 = x^{2} \\18.1 = x[/tex](rounded)
I hope this helps you.
A volleyball player has a assists per game during a 6 game match. The volleyball player has 42 assists during the entire match. Which equation can be used to find a?
Please I really need it :(
Answer:
6a=42
Step-by-step explanation:
This equation would be used to find a because we don't know how many assists are for each match. And multiplying the a by the 6 games would be equivalent to 42 assists for the entire match.
f(x)= -2x^2
what is the vertex of this and/or how do you find the vertex??
Answer:
(0,0)
Step-by-step explanation:
x value of vertex = -b/2a
ax^2+bx+c
-2x^2+0x+0 sinc you have no value of b & c in your quadratic function
-b = 0
2a = (2)(-2)
-b/2a = (0/-4) = 0
x value of the vertex = 0
plug 0 in for all values of x in the function to find y coordinate value
-2(0)^2 = 0
(x,y) = (0,0)
PLEASEEEE HELLPPPP!!!!!!!!!!!!!!!!
Which of these strategies would eliminate a variable in the system of equation?
2x+3y=-5
2x-3y=10
One of the strategies that would eliminate a variable in the system of equations is by subtracting both equations to eliminate the variable "x"
Eliminating variables from the system of equations?System of equations consists of a different set of equations with unknown variables.
Given the system of equations
2x+3y=-5
2x-3y=10
Since the coefficient of x from both equations are the same, we will subtract both equations to eliminate the variable "x"
(2x-2x)+(3y+3y) = -5 + 10
6y = 5
Hence we can conclude that one of the strategies that would eliminate a variable in the system of equations is by subtracting both equations to eliminate the variable "x"
Learn more on system of equations here: https://brainly.com/question/847634
PLEASE HELP
What is the product of (-a + 3)(a + 4)?
A. - a2 - a - 12
B. a2 - a + 12
C. - a2 - a + 12
D. a2 - a - 12
Answer:
-a^2-a+12
Step-by-step explanation:
Answer:
Option C.
[tex]-a^{2}-a+12[/tex]
Step-by-step explanation:
1. Distributive multiply
[tex]-a*(a+4)+3*(a+4)[/tex]
2. Distributive multiply
[tex]-a*a-a*4+3*(a+4)[/tex]
3. Multiply terms to exponential form
[tex](-1) *a^{2}-a*4+3*(a+4)[/tex]
4. Multiply constants
[tex]-a^{2}-4*a+3*(a+4)[/tex]
5. Distributive multiply
[tex]-a^{2}-4a+(3*a+3*4)[/tex]
6. Multiply constants
[tex]-a^{2}-4a+(3a+12)[/tex]
7. Reorder terms
[tex]-a^{2} -4a+(12+3a)[/tex]
8. Add terms
[tex]-a^{2}-a+12[/tex]
What is the domain of the function on the graph? 5 01 4. 3 O all real numbers all real numbers greater than or equal to 0 all real numbers greater than or equal to -2 all real numbers greater than or equal to -3 2 1 + 5 4 3 2 1 1 2 3 4 5 X -21 -3+ -4 J
Option (4) all real numbers greater than or equal to -3
Step-by-step explanation:
Domain: Domain of function is defined by the x-values (Input values) on the graph.
Range: Range of a function is defined by the y-values (output values) on the graph.
x-values are starting from (-3) to infinity.
Therefore, domain of the function will be all real numbers greater than equal to (-3). Option (4) will be the answer.
The domain of the function are all real numbers greater than or equal to -3.
What is function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given is a graph, we need to find domain of the function on the graph,
Domain is the set of all possible inputs or x-values, for which the given function is defined.
The given graph is defined form -3 to positive infinity. The point -3 included in the set of input because there is a closed circle at x=-3.
So, domain of the function are all real numbers greater than or equal to –3.
Hence, the domain of the function are all real numbers greater than or equal to -3.
Learn more about function, click;
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