Final answer:
The coordinates of vertex W of parallelogram WXYZ, given vertices X(-2,-3), Y(0, 5), and Z(7, 7), are W(9, 15). This is found by calculating vector ZW as equal to vector XY and adding ZW to the coordinates of Z.
Explanation:
The coordinates of vertex W of parallelogram WXYZ can be found by using the properties of parallelograms. In a parallelogram, opposite sides are equal in length and parallel. Given vertices X(-2,-3), Y(0, 5), and Z(7, 7), we can first find the vector representation from X to Y and from Y to Z:
XY = Y - X = (0 - (-2), 5 - (-3)) = (2, 8)YZ = Z - Y = (7 - 0, 7 - 5) = (7, 2)To find the vector from Z to W, which we'll call ZW, we use the fact that ZW must be parallel and equal in length to vector XY. Therefore:
ZW = XY = (2, 8)Now we add vector ZW to the coordinates of Z to find W:
W = Z + ZW = (7, 7) + (2, 8) = (9, 15)Thus, the coordinates of vertex W are (9, 15).
2 Points
What is the measure of ZBPU?
ОВ. 40°
PREVIOUS
Answer:
80
Step-by-step explanation:
40 times 2=80
Have a nice day!!!
Choose all that give the correct expression for the quantity described.
Answer:
Its D on e2020
Step-by-step explanation:
trust me
A traffic signal is green for 20 seconds,
then yellow for 5 seconds, then red for
25 seconds. When you reach the signal,
what is the probability it is green?
Answer:
Step-by-step explanation:
green for 20 seconds
yellow for 5 seconds
red for 25 seconds
total of 50 seconds
P(green) = 20/50 = 2/5
The two figures above are congruent. Find the measure of the angle that isn't labeled on either figure.
Answer:
I think it's 100
Step-by-step explanation:
133 + 86 + 41 = 260
360 - 260 = 100
if conditional is true and it’s_____ is true, then the conclusion is true
Answer:
hypothesis
Step-by-step explanation:
The statement "if p, then q" is a conditional statement.
p----->is the hypothesis
q----->is the conclusion
This conditional is true if it's hypothesis true and the conclusion is true.
This is just one out three situations for which the conditional is true.
what is the measure of angle 7?
m<1 = m<4 by vertical angles theorem
3x + 10 = 4x - 15
-1x = -25
x = 25
m<1 + m<7 = 180 if parallel alternate interior angles supplementary
3x + 10 + m<7 = 180
3(25) + 10 + m<7 = 180
75 + m<7 = 180
m<7 = 105°
Hope this helps! ;)
A company rents two storage units .both units are cube shaped. What is the difference in volume of the two storage units? Note that the volume of acutely is s3, where a is the side length. Explain
Answer:
is there possibly a photo of the two storage units?
To find the difference in volume between the two storage units, you can subtract the volume of the smaller cube from the volume of the larger cube: Difference in volume = [tex]V2 - V1 = s2^3 - s1^3[/tex]
How to find the difference in volume of the two storage unitsTo find the difference in volume between two cube-shaped storage units, you'll need to know the side lengths of both cubes. The volume of a cube is given by [tex]V = s^3[/tex], where "V" is the volume, and "s" is the side length.
Let's say the side length of the first cube is "s1" and the side length of the second cube is "s2." Then, the volume of the first storage unit is [tex]V1 = s1^3,[/tex] and the volume of the second storage unit is V2 = [tex]s2^3.[/tex]
To find the difference in volume between the two storage units, you can subtract the volume of the smaller cube from the volume of the larger cube:
Difference in volume = [tex]V2 - V1 = s2^3 - s1^3[/tex]
This formula will give you the numerical value of the difference in volume between the two storage units. If you have specific side lengths for both cubes, you can substitute those values into the formula to calculate the exact difference in volume.
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How many solutions does this system of equations have?
y=-2x+2
2y+4x=4
Answer:
infinitely many solutions
Step-by-step explanation:
look at picture
-5(x - 1) greater than -40
Answer:
x < 9
Step-by-step explanation:
Writing this entirely with symbols, we get:
-5(x - 1) > -40
We must solve for x.
Carrying out the multiplication, we get:
-5x + 5 > -40, or
-5x > -45
Dividing both sides by -5 isolates x:
x < 9
Note that when working with an inequality such as this one, dividing both sides by a negative number requires changing the direction of the inequality symbol.
Help please ! Please answer any
Answers are rectangle, rhombus and parallelogram respectively.
Step-by-step explanation:
Answer to 74 is a rectangle. It has opposite sides equal and adjacent sides are perpendicular.Answer to 75 is a rhombus. It has all equal sides and opposite angles are equal, but adjacent angles are not equal. Answer to 76 is a parallelogram. It has opposite sides equal and parallel but adjacent sides are not equal.11. Evaluate f (x)=- x + 2 for f( – 5) and f(1).
Answer:
-3 and positive 3
Step-by-step explanation:
Answer:
7 and 1
Step-by-step explanation:
To evaluate f(- 5) substitute x = - 5 into f(x)
f(- 5) = - (- 5) + 2 = 5 + 2 = 7
Similarly for f(1)
f(1) = - 1 + 2 = 1
last year, dee got 60 pounds of tomatoes off the tomato plant in her garden. if she plants 4 tomato plants this year, about how many pounds of tomatoes should she expect?
A: 40 pounds
B: 60 pounds
C: 180 pounds
D:240 pounds
What is the long division for 672 divided up 37?
Answer:
18.1621622 or 18.162
Step-by-step explanation:
Answer:
Attached in image below!
What is the coefficient of the first
degree term?
The Coefficient of the first-degree term is called as Leading coefficients.
Step-by-step explanation:
Usually, the coefficient is said to be the numerical value which is in product with the variable in the equation or expression. The variable with no number means its Coefficient is considered as 1.The first-degree term is meant to be the term that is multiple with the higher power in the exponential.They can be positive or negative. But the term with the higher power is usually written first in an equation.So in that equation, the first term is called as a leading term and it has the variables which are in multiple with the leading term it is called as leading coefficients.If the percent of discount is 55% and the sale price is $60 what was the original price
Answer:
133.33 dollars bc when u divide 133.33 form 55% it's 60 dollars.
Need help quickly please!!!
Answer:
8
Step-by-step explanation:
Two quantities x and y are directly proportional if x is doubled what happens to y?
If x is doubled, then y is also doubled
Solution:
Given that,
Two quantities x and y are directly proportional
For a direct proportion,
If x increases then y increases
If x decreases then y decreases
Given that, x is doubled
Then y will also gets doubled
Also,
x and y are directly proportional
[tex]y \propto x\\\\y = kx[/tex]
Where k is the constant of proportionality
If x is doubled then,
y = k(2x)
y = 2(kx)
Thus y is also doubled
Answer:
its doubled
Step-by-step explanation:
if its doubled then its doubled
Write an equation of a line parallel to y = -2x + 3 that passes through (-2,-1)
[tex]\boxed{y=-2x-5}[/tex]
Explanation:The slope-intercept form of the equation of a line:
[tex]y=mx+b \\ \\ \\ Where: \\ \\ m:Slope \\ \\ b:y-intercept[/tex]
The given line has the following characteristics:
[tex]y=-2x+3 \\ \\ \\ So: \\ \\ m=-3 \\ \\ b=3[/tex]
So the line we are looking for needs to be:
[tex]y=-2x+b \\ \\ \\ It \ passes \ through \ (-2,-1): \\ \\ -1=-2(-2)+b \\ \\ b=-1-4 \\ \\ b=-5[/tex]
So, the equation of the line would be:
[tex]\boxed{y=-2x+3}[/tex]
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43. Claire is buying a new bicycle for $295. If the
sales tax is 4.75%, what will she pay in total?
Answer: $299.75
Step-by-step explanation:
In circle D, mGEC is 230º. What is the measure of ∠GDC ? 70º 130º 170º 360º A circle with center D has points G, F, C and E on the circumference. Points G and D are connected by a line segment. Points D and C are connected by a line segment. Point F is between points G and C and point E is to the left of point G.
The answer is 130. I did the quiz and got it right.
I really hope this ends up helping you. You got this!
The measure of ∠GDC is 130° as it is calculated by subtracting the arc GEC's measure from the total degrees in a circle, which is 360°.
If the measure of arc GEC in circle D is 230°, to find the measure of ∠GDC,
we recall that the measure of an arc in a circle is equal to the measure of the central angle that intercepts that arc. Since ∠GDC is a central angle intercepting arc GEC, its measure must also be 230°.
However, because we are looking for the measure of the angle inside the circle, we must subtract this angle from the total 360° of the circle.
So,
360° - 230°
= 130°
So, the measure of ∠GDC is 130°.
You have $40 to spend on turkey and cheese for a party. At the deli, turkey is $10 per pound inches is six dollars per pound. Write an equation that represents the situation
Answer:
40=10x+ 6y
Step-by-step explanation:
x representing pounds of turkey
y representing pounds of cheese
a pool manager balances the ph level of a pool. the price of a bucket of chlorine tablets is $90, and the price of a ph test kit is $11. the manager uses a coupon that applies a 40% discount to the total cost of the two items. how much money does the pool manager pay for each item?
The pool manager pays $54 for the chlorine tablets and $6.60 for the pH test kit.
Explanation:The pool manager pays $54 for the bucket of chlorine tablets and $6.60 for the pH test kit after applying the 40% discount.
To find the price of the chlorine tablets after the discount, we multiply $90 by 40% to get $36. Subtracting $36 from $90 gives us the final price of $54.To find the price of the pH test kit after the discount, we multiply $11 by 40% to get $4.40. Subtracting $4.40 from $11 gives us the final price of $6.60.Therefore, the pool manager pays $54 for the chlorine tablets and $6.60 for the pH test kit.
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The pool manager pays the cost of $54 for the chlorine tablets and $6.60 for the pH test kit.
Explanation:The calculation you're looking to perform is a simple example of a percentage discount on a sum of money. To figure out how much the pool manager pays for each item, you have to first calculate the total cost of the items. The total cost of both the bucket of chlorine tablets ($90) and the pH test kit ($11) is $101.
A 40% discount on the total cost is then calculated by taking 40% of $101, which is $40.40. This discount is subtracted from the total cost (101-40.40), leaving the pool manager to pay $60.60. To determine the cost of each item after the discount, we assume that the discount was applied equally to both items.
This means that the cost price for each the bucket of chlorine tablets and pH test kit, after the discount, would be $54 and $6.60 respectively.
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Evan buys some oranges. He gives 1,2 or 3 oranges to April. He has5 oranges left . Draw pictures and write a number sentence to show how many oranges Evan could have bought
Answer:
6, 7 or 8 oranges
Step-by-step explanation:
When simplified, the expression (x Superscript one-eighth Baseline) (x Superscript three-eighths Basleline) is 12. Which is a possible value of x?
6
24
144
256
Step-by-step explanation:
We have,
[tex](x^{\dfrac{1}{8}})(x^{\dfrac{3}{8}})=12[/tex]
To find, the possible value of x = ?
∴ [tex](x^{\dfrac{1}{8}})(x^{\dfrac{3}{8}})=12[/tex]
⇒ [tex]x^{\dfrac{1}{8}+\dfrac{3}{8}}=12[/tex]
Using the exponential identity,
[tex]a^{m} a^{n} =a^{m+n}[/tex]
⇒ [tex]x^{\dfrac{1+3}{8}}=12[/tex]
⇒ [tex]x^{\dfrac{4}{8}}=12[/tex]
⇒ [tex]x^{\dfrac{1}{2}}=12[/tex]
Squaring both sides, we get
[tex](x^{\dfrac{1}{2}})^2=(12)^2[/tex]
⇒ [tex]x^{{\dfrac{1}{2}}\times2}=144[/tex]
⇒ x = 144
∴ The possible value of x = 144
Thus, the required 'option C) 144' is correct.
Answer:
144
Step-by-step explanation:
express 0.003597 to three significant figures
Answer:
0.00360.
Step-by-step explanation:
Leading zeros in a number are not significant, so your number has four significant figures.
You must drop the 7 from 0.003597.
Since 7 is greater than 5, you must add 1 to the 9
[tex]\begin{array}{r|l}1& \\0.00359 &\text{7}\!\!\!\!\diagup \\\mathbf{0.00360} & \\\end{array}[/tex]
Final answer:
To express 0.003597 to three significant figures, round to 0.00360; in exponential notation, this is 3.60 × 10^-3.
Explanation:
To express 0.003597 to three significant figures, we identify the first non-zero digit as the starting point of significant figures.
We count three digits from there, which gives us 0.00360 when rounding up the seventh which is in the fourth place after the decimal. In exponential notation, this would be 3.60 × 10-3.
JKL is a right triangle. JL = 10, KL = 8,
and JK = 6. What is cos L?
10
What is the answer
Answer:
[tex] \cos L = \dfrac{4}{5} [/tex]
Step-by-step explanation:
The right angle is angle K. KL and JK are legs. JL is the hypotenuse.
For angle L, KL is the adjacent leg.
In general, for acute angle A of a right triangle,
[tex] \cos A = \dfrac{adjacent~leg}{hypotenuse} [/tex]
In this case,
[tex] \cos L = \dfrac{adj~leg}{hyp} [/tex]
[tex] \cos L = \dfrac{KL}{JL} [/tex]
[tex] \cos L = \dfrac{8}{10} [/tex]
[tex] \cos L = \dfrac{4}{5} [/tex]
Joel looks at a map of Colorado, scowls, and tears it to shreds. "I don't need this lousy map," he mutters, puffing out his chest and continuing his journey through the wilderness. Before he destroyed it, Joel's map showed an outline of Colorado, a rectangular state with dimensions 600\text{ km}600 km600, start text, space, k, m, end text by 450\text{ km}450 km450, start text, space, k, m, end text. Move points to recreate Joel's map of Colorado on the grid below.
Answer:12 x 9
Step-by-step explanation: 600 x 2/100 = 1200/100 = 12
450 x 2/100 = 900/100 = 9
Remember that 100km = 2 units
Draw a rectangle with the dimensions given (600 km by 450 km) to recreate Joel's map of Colorado on the grid. Make sure to align the rectangle's longer side with latitude (horizontal) and shorter side with longitude (vertical).
Explanation:To recreate Joel's map of Colorado on the grid, we can simply consider the dimensions given of 600 km by 450 km. Draw a rectangle on the grid with one side being 600 units (representing km) and the other being 450 units (representing km). This rectangle will represent Colorado, and you can label it accordingly. Keep in mind that since it's a map, the orientation of Colorado's longer side (600 km) should align with the latitude and shorter side (450 km) should align with the longitude, assuming that the west-east direction is taken as horizontal.
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What is 2/5 - 1/8 I do not know what it is
Answer
11
—— = 0.27500
40
Answer: 11/40
Step-by-step explanation: 2/5 - 1/8 have to have a common denominator. The common denominator will be 40 so 2/5 = 16/40 1/8 = 5/40. 16-5=11
jeremy rides his bike at a rate of 12 miles per hour below is a table that represents the number of hours and miles Kevin rides assume both bikers ride at a constant rate which biker rides at a greater speed
The correct answer would be, Jeremy rides at a greater speed than Kevin.
Step-by-step explanation:
Jeremy rides at a rate of 12 miles per hour
Kevin rides at a rate given in the table
Let Y be the distance traveled by Jeremy
And X be the number of hours
Then for Jeremy:
y/x = 12/1
=> y= 12 x
For Kevin:
(46-23)/(4-2)
= 23/2
= 11.5
So for Kevin, Y = 11.5 x
So when Jeremy's and Kevin's rates are compared,
12 > 11.5
which means Jeremy rides at a greater speed.
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To determine which biker rides at a greater speed, Jeremy's speed of 12 miles per hour must be compared with data from Kevin. Without specific information about Kevin's travel distance and time, we cannot conclude who is faster.
Explanation:To determine which biker rides at a greater speed, we must first establish the speed at which Jeremy rides his bike. Then we need to compare that speed to the information given for Kevin. Unfortunately, the question as stated does not provide specific details for Kevin's hours and miles. However, we know that Jeremy rides at 12 miles per hour.
Speed is calculated by dividing the distance traveled by the time it takes to travel that distance. For example, if a cyclist like Jeremy travels 12 miles in 1 hour, his speed is 12 mph. In another example, if Billy rides 6 miles in 0.5 hours (30 minutes) at a speed of 12 km/h, we can calculate his speed in miles per hour by realizing that 1 kilometer is approximately 0.621371 miles.
Without Kevin's data, we cannot compare his speed to Jeremy's directly. To determine which biker rides faster, we would need information on the distance Kevin travels and the time he takes to do so.
HELP QUICK I NEED TO KNOW THIS Kiva’s family is moving and he helps by carrying a 21-pound box to the truck. It is 65% lighter than the box that his father carries to the truck. What is the weight of the box that Kiva's father carries?
To determine the weight of the box Kiva's father carries, we calculate 21 pounds as 35% of the father's box weight and find it to be 60 pounds.
Explanation:Kiva's family is moving and he carries a 21-pound box which is 65% lighter than the box his father carries. To find the weight of the box that Kiva's father carries, we need to determine what weight would be 65% lighter by the smaller box's weight. Let's denote the father's box weight as F. We know that 21 pounds is equal to 35% of the father's box's weight because 100% - 65% = 35%. So, we have:
Represent the relationship as an equation: 0.35F = 21.Divide both sides of the equation by 0.35 to find F: F = 21 ÷ 0.35.Calculate F to find the father's box weight: F = 60 pounds.Therefore, the weight of the box that Kiva's father carries is 60 pounds.