13+8 POINTS!!!! PLEASE HELP ME PLEASE!!!!! DUE TODAY PLEASE HELP!!!
Complete the coordinate proof of the theorem.
Enter your answers in the boxes.
The coordinates of parallelogram ABCD are A(0, 0) , B(a, 0) , C(??), and D(c, b) .
The coordinates of the midpoint of AC¯¯¯¯¯ are (, b2 ).
The coordinates of the midpoint of BD¯¯¯¯¯ are ( a+c2 , ).
The midpoints of the diagonals have the same coordinates.
Therefore, AC¯¯¯¯¯ and BD¯¯¯¯¯ bisect each other.
Answers
Answer:
Step-by-step explanation:
1). Coordinates of point C will be
x - coordinates = [Distance of B from the origin + Distance of D from y axis]
= (a + c)
y - coordinates = (Distance of D from x - axis)
= b
Therefore, coordinates of C will be [(a + c), b]
2). Coordinates of the midpoint of AC = [tex][\frac{(a+c)+0}{2}, \frac{b+0}{2}][/tex]
= [tex][\frac{(a+c)}{2}, \frac{b}{2}][/tex]
[Since coordinates of the midpoint of (x, y) and (x', y') are denoted by ([tex]\frac{x+x'}{2},\frac{y+y'}{2}[/tex])]
3). Coordinates of the midpoint of BD = [tex][\frac{(a+c)}{2}, \frac{b+0}{2}][/tex]
= [tex][\frac{(a+c)}{2}, \frac{b}{2}][/tex]
Related Questions
There are 117 staff members in your school. 1/3 of them are going away for the Thanksgiving holiday. How many staff members are not traveling?
This was the main question but i didnt get how to solve it.. (wasnt sure if subtraction was thr right way)
Answers
117 - 39 = 78
78 staff members are not leaving for Thanksgiving.
use cramers rule to solve each system 6x +2y= -78 7x - 4y= -15
Answers
[tex]\bf y=\cfrac{D_y}{D}\implies \cfrac{ \begin{bmatrix} 6&-78\\7&-15 \end{bmatrix}}{-38}\implies \cfrac{(6\cdot -15)-(-7\cdot 78)}{-38} \\\\\\ \cfrac{-80+546}{-38}\implies \cfrac{456}{-38}\implies -12[/tex]
A hair salon charges fixed rate of $25.00 for a haircut and then an additional $15.00 for any other services. Write a function to model cost of services there and then determine how many services you had if you were charged for $115.00
Answers
Answer:
f(x) = 15x + 25; f(6) = 115
Step-by-step explanation:
the flat rate of $25 will be the y-intercept and the slope will be $15. since u are charged $115, plug that in for f(x) and solve for x. so the right answer is
f(x) = 15x + 25; f(6) = 115
Christina can paint 420 square feet in 105 minutes. Which unit rate describes the scenario?
4 square feet per minute
square foot per minute
1 square foot per 4 minutes
1 square foot per minute
Answers
divide total sq ft x total minutes to get square feet per minute
420/105 = 4
so 4 sq ft per minute
Write each equation in slope intercept form 5x+3y=30
Answers
In order to get x to the other side, you subtract it on both sides.
3y = -5x + 30
But in slope intercept form, y can’t have any number in front of it. To get rid of the number, divide both sides by 3
y = -5x/3 + 6
The complement of 17% is
Answers
Answer:
73%.
Step-by-step explanation:
Let x be the complement of 17%.
We are asked to find the complement of 17%.
We know that two angles are complementary when they add up-to 90 degrees. So we can set an equation as:
[tex]17\%+x=90\%[/tex]
[tex]17\%-17\%+x=90\%-17\%[/tex]
[tex]17\%-17\%+x=73\%[/tex]
Therefore, the complement of 17% is 73%.
Each package of dried fruit contains 3/16 of a pound Mr. Lopez has 4 pounds of dried fruit How many packages can he fill
Answers
Final answer:
Mr. Lopez can fill 21 full packages of dried fruit, each containing 3/16 of a pound, with his 4 pounds of dried fruit.
Explanation:
The question asks how many packages of dried fruit Mr. Lopez can fill if each package contains 3/16 of a pound and he has 4 pounds of dried fruit. To answer this, we need to perform a division to find out how many 3/16 are in 4 pounds.
To solve this, we divide 4 pounds by 3/16 pounds per package:
4 ÷ (3/16) = (4/1) ÷ (3/16) = (4 × 16) / 3 = 64/3 = 21 with remainder 1.
Therefore, Mr. Lopez can fill 21 full packages of dried fruit and will have a little left over which is not enough to fill an additional full package.
Name the triangle with the following characteristics. Sides: 5 cm, 5 cm, 7 cm.
A. scalene triangle B. acute triangle C. isosceles triangle D. right triangle
HELP ASAP
Answers
Which is the best unit to use for measuring the length of an eyelash millimeters C centimeters B meters or D kilometers
Answers
The best unit for the measurement of length of eyelash is millimeters
A fundamental unit of measurement is a unit of measurement in which other units are derived from, it includes length often expressed as follows;
kilometers; for large distancesmeters for large lengths of objectscentimeters; for small distances or lengths of objectsmillimeters; for relatively small lengths, like keys, eyelashes etcThus, the best unit for the measurement of length of eyelash is millimeters
Learn more here: https://brainly.com/question/24161150
What is 5.8×2.4?
Show your work
What grade if u like this you will get 24 points
.
.
Answers
1. put 5.8*2.4 into a standard algorithm. which will look like this.
5.8
x 2.4
---------
232
+1160
--------
13.92 hope that helped
8 Times 43 In expanded form
Answers
100×34 10×4 1×4 = 344 which is your answer. Hoped this helped! If you need any help just ask me! I am here to help!
Rosey
a 6-pack of capri-Suns costs $8.80 .How much would a 24-pack cost if the costs are proportional
Answers
in a 24-pack, there are 24 bottles, 24-pack.
so, if 6 bottles, cost 8.80, how much will it be for 24 bottles then?
[tex]\bf \begin{array}{ccll} bottles&price\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 6&8.80\\ 24&p \end{array}\implies \cfrac{6}{24}=\cfrac{8.80}{p}\implies p=\cfrac{24\cdot 8.80}{6}[/tex]
I'm struggling on this!!!!!!!!!
In a photograph, a sculpture is 4.2 cm tall and 2.5 cm wide. The scale factor is 1 to 16. Find the size of the actual sculpture.
Answers
Step-by-step explanation:
67.2 Length And 40cm Wide
Find the limit, if it exists, or type dne if it does not exist.
a. \displaystyle\lim_{(x, y) \rightarrow (0, 0)} \frac{(x + 23y)^2}{x^2 + 529y^2} =
Answers
Suppose we choose a path along the [tex]x[/tex]-axis, so that [tex]y=0[/tex]:
[tex]\displaystyle\lim_{x\to0}\frac{x^2}{x^2}=\lim_{x\to0}1=1[/tex]
On the other hand, let's consider an arbitrary line through the origin, [tex]y=kx[/tex]:
[tex]\displaystyle\lim_{x\to0}\frac{(x+23kx)^2}{x^2+529(kx)^2}=\lim_{x\to0}\frac{(23k+1)^2x^2}{(529k^2+1)x^2}=\lim_{x\to0}\frac{(23k+1)^2}{529k^2+1}=\dfrac{(23k+1)^2}{529k^2+1}[/tex]
The value of the limit then depends on [tex]k[/tex], which means the limit is not the same across all possible paths toward the origin, and so the limit does not exist.
What is the expression in simplest form ?
(3x - 2) - (4x + 1)
a. x-3
b. -x - 3
c. -x + 1
d. x + 1
Answers
Answer:
b. -x - 3
Step-by-step explanation:
(3x -2) -(4x +1) . . . given
3x -2 -4x -1 . . . . . . distribute the minus sign; eliminate parentheses
(3x -4x) + (-2 -1) . . . group like terms
-x -3 . . . . . . . . . . . . simplify
What is the value of mc016-1.jpg?
-20
-4
4
20
the pic is the .jpg
Answers
(4-2)^3 -3*4 =
(4-2) = 2, 2^3 = 8
3*4 =12
so you have 8-12 = -4
Answer is -4
Explanation:
This question's it's about the order of operations. It stands for parenthesis, exponents, multiply, divide, add, and subtract. It can also go left too right. (PEMDAS)
First, do parenthesis.
[tex](4-2)=2[/tex]
[tex]2^3-3*4[/tex]
Then exponents.
[tex]2^3=2*2*2=8[/tex]
[tex]8-3*4[/tex]
Multiply left to right.
[tex]3*4=12[/tex]
Subtract left to right.
[tex]8-12[/tex]
[tex]12-8=4[/tex]
It change positive to negative sign.
Answer: → [tex]\boxed{=-4}[/tex]
*The answer must have a negative sign.*
Hope this helps!
Thank you!
-Charlie
A surveyor took the following measurements from two irregularly shaped pieces of land. Some of the lengths and angle measures are missing. Find all missing lengths and angle measures. Round lengths to the nearest tenth and angle measures to the nearest minute
Answers
To find angle D, we make use of the rule of Sines because we know the measure of the side opposite angle D and we also know the meansure another angle of the triangle with the measure of the side opposite the angle.
Thus, we find angle D as follows:
[tex] \frac{62}{\sin{D}} = \frac{51}{\sin{53^o}} \\ \\ \Rightarrow \sin{D}= \frac{62\sin{53^o}}{51}} \\ \\ = \frac{49.5154}{51} =0.9709 \\ \\ \Rightarrow D=\sin^{-1}{0.9709} \\ \\ =76.14^o=76^o8'[/tex]
Therefore, angle D is 76°8'
Part B:
To find angle E, recall that the sum of the angles in a triangle is 180°.
Thus, 53° + 76°8' + E = 180°
E = 180° - 53° - 76°8' = 50°52'
Therefore, angle E is 50°52'
Part C:
To find the measure of side e, we apply the cosine rule as follows:
[tex]e^2=51^2+62^2-2(51)(62)\cos{50^o52'} \\ \\ =2,601+3,844-2,098.85=3,991.25 \\ \\ \Rightarrow e=\sqrt{3,991.25}=63.18[/tex]
Therefore, the measure of side e is 63.2
Part D
To find angle G, we make use of the rule of Sines because we know the measure of the side opposite angle G and we also know the measure another angle of the triangle with the measure of the side opposite the angle.
Thus, we find angle G as follows:
[tex]\frac{80}{\sin{G}} = \frac{62}{\sin{49^o}} \\ \\ \Rightarrow \sin{G}= \frac{80\sin{49^o}}{62} \\ \\ = \frac{60.3768}{62} =0.9738 \\ \\ \Rightarrow G =\sin^{-1}{0.9738}=76.86^o=76^o52'[/tex]
Therefore, angle G is 76°52'
Part E:
To find angle H, recall that the sum of the angles in a triangle is 180°.
Thus, 49° + 76°52' + H = 180°
H = 180° - 49° - 76°52' = 54°14'
Therefore, angle H is 54°14'
Part F:
To find the measure of side a, we apply the cosine rule as follows:
[tex]a^2=80^2+62^2-2(80)(62)\cos{54^o14'} \\ \\ =6,400+3,844-5,798.10=4,445.90 \\ \\ \Rightarrow a=\sqrt{4,445.90}=66.68[/tex]
Therefore, the measure of side a is 66.7
Part G:
To find angle A, we make use of the rule of Sines because we know the measure of the side opposite angle A and we also know the measure another angle of the triangle with the measure of the side opposite the angle.
Thus, we find angle A as follows:
[tex]\frac{66.7}{\sin{A}} = \frac{30}{\sin{25^o54'}} \\ \\ \Rightarrow \sin{A}= \frac{66.7\sin{25^o54'}}{30} \\ \\ = \frac{29.1347}{30} =0.9712 \\ \\ \Rightarrow A =\sin^{-1}{0.9712}=76.21^o=76^o12'[/tex]
Therefore, angle A is 76°12'
Part H:
To find angle B, recall that the sum of the angles in a triangle is 180°.
Thus, 25°54' + 76°12' + B = 180°
B = 180° - 25°54' - 76°12' = 77°53'
Therefore, angle B is 77°53'
Part I:
To find the measure of side b, we make use of the rule of sines
Thus, we find side b as follows:
[tex]\frac{b}{\sin{77^o53'}} = \frac{30}{\sin{25^o54'}} \\ \\ \Rightarrow b= \frac{30\sin{77^o53'}}{\sin{25^o54'}} \\ \\ = \frac{29.3317}{0.4368} =67.15[/tex]
Therefore, the measure of side b is 67.2
To find the width of the river, use trigonometry and the tangent function. The width of the river is approximately 67.1 meters.
Explanation:To find the width of the river, we can use trigonometry. The surveyor measured an angle of 35° from the baseline to the tree on the opposite bank. We know the distance along the river is 100 m. Let's denote the width of the river as 'x'.
We can use the tangent function to solve for 'x'. The tangent of the angle is equal to the opposite side divided by the adjacent side. In this case, the opposite side is 'x' (the width of the river) and the adjacent side is 100 m (the distance along the river).
So, the equation becomes:
tan(35°) = x/100
To find the value of 'x', we can multiply both sides by 100:
x = 100 * tan(35°)
Using a calculator, we can find that x is approximately 67.1 m. Therefore, the width of the river is approximately 67.1 meters.
jay will make $240 doing yard work for 6 weeks. he is saving his money to buy camping equipment that cost $400. He has already saved $120. Is it reasonable to say that Jay will save enough money in 6 weeks? Explain
Answers
boa saved $179 a month. he saved $145 less than ada each month. how much would ada save in three and a half years?
Answers
three and a half years is 42 months
42 months times 324
13608
It says Boa's savings each month are "$145 less than Ada", so we need to add 179 to 145. 179+145 = 324.
Okay, so now we know the amount of Ada's savings per month, we need to find out how much money she would have in 3 and a half years. 12 months is equal to one year. A half a year is 6 months. Three whole years is 36 months, and 6 months added to that is 42 months.
Since $324 represents only one month, and we want 42 months, we need to multiply 324 by 42. 324*42 = $13608. $13608 is what Ada saved within 3 years and a half.
What is the molar solubility of magnesium fluoride in a solution that is 0.40 m f− ions? the ksp of mgf2 is 6.4 × 10−9. hints what is the molar solubility of magnesium fluoride in a solution that is ions? the of is . 8.0 × 10−9 8.0 × 10−5 1.6 × 10−8 4.0 × 10−8?
Answers
The molar solubility of magnesium fluoride in a solution with a concentration of 0.40 M fluoride ions is 0.80 M.
Explanation:The molar solubility of magnesium fluoride in a solution with a concentration of 0.40 M fluoride ions can be calculated using the solubility product constant (Ksp) of MgF2, which is 6.4 × 10-9.
First, write the dissolution equation for MgF2: MgF2(s) ⇌ Mg2+(aq) + 2F-(aq)
Since the stoichiometry of the dissolution equation is 1:2 between magnesium ions and fluoride ions, the molar solubility of MgF2 is twice the concentration of fluoride ions.
Therefore, the molar solubility of MgF2 in a solution that is 0.40 M fluoride ions is 2 × 0.40 M = 0.80 M.
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Suppose θ is an angle in the fourth quadrant with cosθ=x/4. Find expressions for the other five trig functions in terms of x?
Answers
now, we know the angle is in the IV quadrant, that means, the cosine is positive and the sine is negative, or "x" is positive whilst "y" is negative.
[tex]\bf cos(\theta )=\cfrac{\stackrel{adjacent}{x}}{\stackrel{hypotenuse}{4}} \\\\\\ \textit{using the pythagorean theorem}\\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-a^2}=b\qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{4^2-x^2}=b\implies \stackrel{IV~quadrant}{-\sqrt{16-x^2}=b}\\\\ -------------------------------[/tex]
[tex]\bf sin(\theta)=\cfrac{-\sqrt{16-x^2}}{4} \qquad cos(\theta)=\cfrac{x}{4} \qquad % tangent tan(\theta)=\cfrac{-\sqrt{16-x^2}}{x} \\\\\\ % cotangent cot(\theta)=\cfrac{x}{-\sqrt{16-x^2}} \qquad % cosecant csc(\theta)=\cfrac{4}{-\sqrt{16-x^2}} \qquad % secant sec(\theta)=\cfrac{4}{x}[/tex]
now, for the cotangent and the cosecant, let's rationalize the denominator,
[tex]\bf cot(\theta)=\cfrac{x}{-\sqrt{16-x^2}}\cdot \cfrac{\sqrt{16-x^2}}{\sqrt{16-x^2}}\implies cot(\theta)=-\cfrac{x\sqrt{16-x^2}}{16-x^2} \\\\\\ csc(\theta)=\cfrac{4}{-\sqrt{16-x^2}}\cdot \cfrac{\sqrt{16-x^2}}{\sqrt{16-x^2}}\implies csc(\theta)=-\cfrac{4\sqrt{16-x^2}}{16-x^2}[/tex]
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year.
If no money was deposited into or withdrawn from the account, how much money was in the account after 3 years?
Round your answer to the nearest cent.
Enter your answer in the box.
Answers
Answer: Its 329.18 just took a test.
Can someone help me if anyone know. Please, thanks
Answers
Rewrite 21/300 as a decimal.
Answers
Which is the better estimate of the weight of a football helmet
Answers
Probably 3 - 5 pounds.
Hope this helps :))
~Top
Take apart an addend to solve 35+27
Answers
35 + 27
= 32 + 3 + 27
= 32 + 30
= 62
What is a transformation and 3 types of transformations.
Answers
There are four transformations
translation
rotation
reflection
dilation
translation, rotation and reflection do not change the shape or the size of the shape and are known as rigid motions
The four types:
Dilation: Change of size.
Rotation: A clockwise turn in each of the four quadrants in a graph.
Translation: Simply relocating the shape.
Reflection: Mirroring the shape across either the y or x axis.
Hope that helps!
If you add 20% of a number to the number itself what percent of the result would you have to subtract
Answers
1/6 = 16.667%
Which of these is equivalent to 3-23-2?
Answers
Answer:
-22
Step-by-step explanation:
This is a case of directed numbers. The numbers 23 and 2 carry negative signs like this:
- 23
- 2
Therefore, adding these negative numbers gives -23 - 2 = -25
Adding the sum to 3 gives: 3 - 25 = -22
Texaschic101
Help please
Answers
Obviously the mean and median aren't shown.
So in this case it would be the first one, since the second bar isn't including 9, so it wouldn't include 9, so we wouldn't know how many of 10-14 are 9s, so we don't know that.
So it would have to be the first one.