Answer:
32 degrees
Step-by-step explanation:
The law of cosines can be used for this:
h^2 = f^2 +g^2 -2fg·cos(H)
cos(H) = (f^2 +g^2 -h^2)/(2fg)
cos(H) = (650,500/763,600)
H = arccos(6505/7636) ≈ 31.5826°
help ita due in 5 mins
Trapezoid GHIJ is located in the coordinate plane at points
G(0,0),H(−1,2),I(3,2),and J(2,0).
Three transformation scenarios are described.
1. Reflect GHIJ in the x-axis and then reflect that image in the y-axis.
2. Rotate GHIJ 90º counterclockwise about the origin and then translate that image 2 units up.
3. Dilate GHIJ by a scale factor of
1
2
centered about the origin and then translate that image 2 units to the left.
Which transformation(s) produce an image that is congruent to the given figure?
Number 1 only
Number 1 only
Numbers 1 and 2
Numbers 1 and 2
Numbers 2 and 3
Numbers 2 and 3
Numbers 1, 2, and 3
Numbers 1, 2, and 3
A rigid transformation is one in which the distance between pairs of points
are preserved, and the image and preimage have the same dimensions.
The transformations that will produce an image that is congruent to the given figure is; Number 1 and 2.Reasons:
The vertices of the trapezoid GHIZ are G(0, 0), H(-1, 2), I(3, 2), and J(2, 0)
The given transformations are;
1. GHIJ is reflected in the x-axis and the image is reflected in the y-axis
The above transformation is a double reflection.
2. GHIJ is rotated about the origin 90° counterclockwise. The resulting
image is translated up 2 units.
3. GHIJ is dilated by a scale factor of [tex]\mathbf{\frac{1}{2}}[/tex], with the center of dilation at the
origin. The resulting image is translated 2 units left.
Required:
The transformations that produce an image that is congruent to the given figure:
Solution:
Two figures are congruent if they have the same size and shape.
With the given figure being the trapezoid GHIJ, we have that a
transformation that will give an image that is congruent to the preimage
which is the trapezoid GHIJ is a rigid transformation.
Rigid transformations are;
ReflectionRotationTranslationThe combinations of transformation given within the scenario that consists
of only rigid transformations are scenario 1 and scenario 2.
Therefore, the correct option is; Numbers 1 and 2.
Learn more about rigid transformation here:
https://brainly.com/question/1801406
The number of ounces in an unknown number of pounds. Let z= the variable.
Answer:
16z
Step-by-step explanation:
z = the unknown number of pounds
16 ounces in 1 pound.
So z pounds = 16z
or it can be given as a proportion;
[tex]\frac{16 ounces}{1 pound} (z)[/tex]
What is the value of the expression below?
(3 1/2 - 9 3/4) ÷ (-2.5)
Answer:
2.5
Step-by-step explanation:
3 1/2 - 9 3/4 =
3 2/4 - 9 3/4 = -6 1/4
-6 1/4 = -6.25 ÷ (-2.5) = 2.5
help me pls first person to answer CORRECTLY will get brainliest
the number of games that you buy
I need help with this please
Answer:
see attached
Step-by-step explanation:
boundary line
When graphing, it can be useful to have the equation in slope-intercept form. You can get that by solving for y.
4y ≤ -5x -4 . . . . subtract 5x from both sides
y = -5/4x -1 . . . . divide both sides by 4
This tells you the slope is -5/4, and the boundary line crosses the y-axis at y = -1. The slope is the ratio of rise to run, so -5/4 tells you the line will go down 5 units for each 4 unit to the right. That is, points (4, -6) and (-4, 4) will be on the line.
line type and shading
The "or equal to" part of the inequality symbol (≤) tells you that the boundary line will be solid, not dashed.
The "less than" part of the symbol tells you that the values of x and y are less than those on the boundary line, so shading will be to the lower-left. The graph is shown in the attachment.
_____
Additional comment
You can determine the location of the shading by looking at any variable term that has a positive coefficient, and its relation to the inequality symbol. Here, that could be either of ...
5x ... ≤ ...4y ... ≤ ...These tell you that x- and y-values in the solution set are less than those on the line, so shading will be left of (x<) or below (y<) the line. (In rare cases where all of the variable coefficients are negative, you can multiply the equation by -1 and reverse the inequality before you make this analysis.)
An investor invested a total of $3,500 in two mutual funds. One fund earned a 8% profit while the other earned a 5% profit. If the investor's total profit was $223, how much was invested in each mutual fund?
Answer:
i found this so srry if its wrong i saw no one answering this so i wanna help
Step-by-step explanation:
so, x*(7/100) + (3500 - x)*(4/100) = 197
=> 3x + 14000 = 19700
=> 3x = 19700 - 14000
=> x = 5700/3 = 1900
Pearl is 54 5/6 inches tall. Lucas is 1 1/3 inches shorter than Pearl and Jane is 1 1/4
inches shorter than Lucas. How tall is Jane?
Answer:
52 1/4
Step-by-step explanation:
One day the temperature started at - 8° F and dropped 17° by the end of the day. What was the temperature at the end of the day?
Answer: -8 - 17 = -25
Step-by-step explanation: I HOPE THIS HELPS
Answer:
-25° F
Step-by-step explanation:
We start off at - 8° F
The temperature drops 17 degrees by the end of the day
The temperature is now - 8 - 17 = -25° F
Find X and show work please, answer as mixed number
4 1/2 ≤ 1.2x
This year 120 people signed up for team volleyball. If all the teams had the same number of players, how many people can be on a team?
Select the Hint button to view a hint.
A. 3 or 6 B. 3 or 9 C. 9 or 6 D. 3 or 6 or 9
Answer:
Hi It is A I just got it right
trust me
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The product of 0.4 and a number is 8
What’s the Pythagorean therorimm
Answer:
38.29 i think
Step-by-step explanation:
What’s the area of a triangle with sides of 24, 38 and 14
Area of triangle formula: 1/2 * base * height.
So with the given information it is not possible for me to find the area. Only perimeter is possible.
Part C
Suppose the pet food company's strategy is to increase the proportion of sales orders from new stores in each
region to 25% during the coming year.
Consider the data and proportions of sales from new stores for each region in the first month. Do you think
additional training is necessary for all of the sales representatives? Why or why not?
Type your response in the box.
Answer:yes, additional training is necessary because if the employee does not have training they will mess up and ur stores reputation will be ruined
Step-by-step explanation:
Find the odds for and the odds against the event rolling a fair die and getting a 2, a 3, or a 5.
Answer:
The odds for are 50% and the odds against are 50%.
Step-by-step explanation:
On a die, there is 6 possibilities 2, 3, and 5, are 3 of them.
This means there is a 3/6 chance that it will land on one of those numbers, and there is also a 3/6 chance it will land on 1, 4, or 6.
3/6 is equivalent to 50% and 1/2.
How am I supposed to solve this math problem that Edmentum gave me?
“Dear Dr. Jones,
Our pharmaceutical company now received 47 complaints about the new pain reliever NoPain, created in your lab. Of the 47 complaints, 24 said their headache got worse, 15 said they had severe cramping after taking the medication, and 8 said they had both problems. We have only been distributing this pain reliever for about 30 days and we are very concerned. It has cost our company roughly 1.2 million dollars to create the drug and we have recorded sales of $98,600 in the past month at $10 a bottle, so that is 9,860 bottles. Should we be concerned? Do you think we should pull the product and conduct more research? We may end up losing money on this if we pursue this course of action. Should we keep the product on the shelves and secretly do more research? Or should we just do nothing for the time being, wait it out, and see what happens? Please get back to us as soon as possible with your recommendation.
Thank you,
Jane Smith
Head of Customer Relations
Using your basic mathematical skills, calculate how long it will take the pharmaceutical company to earn back the amount that it had invested, if it continues to sell the product at the current selling rate.”
Answer: usually I’d answer the question but when it comes to really long questions especially in edmentum…
Step-by-step explanation:
I hit the submit button and go on myassignmenthelp.com or something like that and it’ll paraphrase the answer… I’d do it a couple times
Which of the following is equivalent to 2/9
A. 0.029
B.0.2
C.0.29
D.0.3
E.0.39
Answer:
B would be the answer:))
Step-by-step explanation:
Divide 2 by 9
5x+6=2x-1
this is a question I have
Answer:
X = -2.33333
Step-by-step explanation:
5x= 2x -7
3x = -7
X = -2.33333
Answer:
yurrr
Step-by-step explanation:
x= -7/3
What is the product of ( 4 + 3 i ) and ( 12 − 2 i )
Answer:
Step-by-step explanation:
(4+3i)(12-2i)
48 - 8i + 36i - 6i^2
48 + 28i +6
54 + 28i
Out of all the multiple choice which one is true for this diagram
b. gh is a perp. bisector .
Find the equation of the line.
y=[ ]x +[ ]
unit 5 relationships in triangles homework 1 triangle midsegments
Based on the definition of a parallel line and the Midsegment Theorem the following are the right answers:
1. a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. a.) FH = 24
b.) JL = 74
c.) KJ = 60
d.) FJ = 30
4. a.) AE = 26
b.) AN = 58
c.) CT = 21.5
d.) Perimeter of ΔAEN = 127
5. x = 15
6. x = 6
What are Parallel lines?Parallel lines coplanar straight lines that do not meet each other and are equal distance from each other.
The Triangle Midsegment TheoremA midsegment is a line that connects the midpoints of the two sides of a triangle together. Every triangle three midsegments.Based on the Midsegment Theorem of a triangle, the third side of a triangle is always parallel to the midsegment, and thus, the third side is twice the size of the midsegment. In order words, length of midsegment = ½(length of third side).Applying the definition of a parallel line and the Midsegment Theorem the following can be solved as shown below:
1. The pairs of parallel lines in ΔAEC (i.e. the midsegment is parallel to the third side) are:
a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. The segment parallel to the given segments are:
a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. Given:
FG = 37; KL = 48; GH = 30
a.) FH = ½(KL)
SubstituteFH = ½(48)
FH = 24
b.) JL = 2(FG)
SubstituteJL = 2(37)
JL = 74
c.) KJ = 2(GH)
SubstituteKJ = 2(30)
KJ = 60
d.) FJ = ½(KJ)
SubstituteFJ = ½(60)
FJ = 30
4. Given:
PT = 13
EN = 43
CP = 29
a.) AE = 2(PT)
SubstituteAE = 2(13)
AE = 26
b.) AN = 2(CP)
SubstituteAN = 2(29)
AN = 58
c.) CT = ½(EN)
SubstituteCT = ½(43)
CT = 21.5
d.) Perimeter of ΔAEN = EN + AN + AE
SubstitutePerimeter of ΔAEN = 43 + 58 + 26
Perimeter of ΔAEN = 127
5. 10x + 44 = 2(8x - 23) (midsegment theorem)
10x + 44 = 16x - 46
Add like terms together10x - 16x = -44 - 46
-6x = -90
Divide both sides by -6
x = 15
6. 19x - 28 = 2(6x + 7) (midsegment theorem)
19x - 28 = 12x + 14
Add like terms together19x - 12x = 28 + 14
7x = 42
Divide both sides by 7x = 6
Learn more about midsegment theorem on:
https://brainly.com/question/11482568
solve for y
3 (3y - 5) = 34
Simplify as much as possible
:)) thxx
Answer:
y=49/9
Step-by-step explanation:
Distribute 3 with 3y and -5
3 times 3y is 9y
3 times -5 is -15
So the equation now looks like this:
9y-15=34
Add 15 on both sides:
9y=49
Divide 9 on both sides
So y=49/9
Since there is no common value to divide by y is 49/9
If you want the decimal version it is 5.44=> (=> meaning continuing forever)
Hope this helps!
HELPPPP please help for brainlist !!!!!!!!!!!!!!
Answer:
a(x) and d(x)
hope it helps, have a good day!
dont forget my brainliest!
Step-by-step explanation:
x to the power of 2 add 3x
Answer:
Hope this helps
Step-by-step explanation:
a) x^2 + 3x = x(x+3)
b) 2x^2 - 8x = 2x(x - 4)
c) 6x + 9x^3 = 3x(2 + 3x^2)
d) 12x^3 - 4x^2 = 4x^2(3x - 1)
6. David bought 3 DVDs for 4 books for $40 at a yard sale. Anna bought 1 DVD and 6 books for
$18. How much did each DVD and book cost?
Answer:
5
Step-by-step explanation:
just had this question
Help!! I don’t understand these
Answer:
First one :
Function? Yes
Domain : { -1 , -2 , -3 }
Range { 10 , 13 , 16 }
Second one:
Function? No
Domain : { 2 , 3 }
Range : { 10 , 13 , 16 }
Third one :
Function ? No
Domain : { 33 , 35 , 36 }
Range : { 8 , 10 }
Step-by-step explanation:
A function is a relation where each input has its own output. In other words a function is a relation where each x value has its own y value. If an x value repeats the relation is not a function.
The domain is the set of x values in a relation whereas the range is the set of y values in a relation
For the first one. No x value repeats, each input has its own output therefore this is a function.
Domain : { -1 , -2 , -3 }
Range { 10 , 13 , 16 }
The second one : The x value 2 repeats therefore the relation is not a function.
Domain : { 2 , 3 }
Range : { 10 , 13 , 16 }
The third one : Each x value has its own y value therefore this relation is a function. ( Note that y values are allowed to repeat )
Domain : { 33 , 35 , 36 }
Range : { 8 , 10 }
A jar contains 28 marbles, of which 3 are blue, 10 are red, and the rest are green. What is the ratio of green marbles to all marbles?
Answer:
17
Step-by-step explanation:
17 green marbles!
Answer: r=1:18 PREMISES If a jar contains 18 marbles consisting of 15 blue, 2 red, and the rest green, then r=the ratio of green marbles to all of the marbles ...
4 answers
·
1 vote:
Let g= number of green marbles. Blue +red + green = All marbles. So 18
Step-by-step explanation:
Shapes. I will give brainless answer correctly and tell me the top number and bottom.
Answer:
2 lines are used fro their respected two centers one Is vertical or one is horizontal it's dice into 4 squares
can someone help with this
Answer:
A: 9x = 0
Step-by-step explanation:
Description of it's end behavior as * Gets larger 8. Match each rational function with a larger. The value of the expression gets A.9x closer and closer to 0. : 2, The value of the expression gets closer and closer to 1. 2 3. The value of the expression gets 92+ closer and closer to 9. E. 9442 4. The value of the expression is 99 98+2 5. The value of the expression gets larger and larger in the positive direction. 6. The value of the expression gets larger and larger in the negative direction: