Answer:
$798.15Step-by-step explanation:
Given
Monthly gross pay is $5,321Income tax = 15%Amount of tax paid every month:
$5321*0.15 = $798.15Help with congruent angles - please
State if the 2 angles are congruent. If they are, state how you know
Answer:
They are not congruent.
The lines or the marks show that each side is congruent. If you compare the sides to where the angle is, you will see that it is not congruent.
Dilate the figure by a scale factor 1/2 of with the origin as the center of Gilation. What are the coordinates of the image ABC?
Answer:
The coordinates of the image ABC will be:
A'(3, 3)B'(6, 6)C'(15, 12)Step-by-step explanation:
Given the vertices of an original triangle
A(6, 6)B(12, 12)C(30, 24)We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged
If the scale factor is between 0 and 1, it gets shrunk
If the scale factor = 1, the object and the image are congruent
Rule to calculate the dilation by a scale factor 1/2 centered at the origin
P(x, y) → P'(1/2x, 1/2y)
so
A(6, 6) → A'(1/2(6), 1/2(6)) → A'(3, 3)
B(12, 12) → B'(1/2(12), 1/2(12)) → B'(6, 6)
C(30, 24) → C'(1/2(30), 1/2(24)) → C'(15, 12)
Therefore, the coordinates of the image ABC will be:
A'(3, 3)B'(6, 6)C'(15, 12)Drag the tiles to the correct boxes to complete the palrs. Not all tiles will be used. Match the rates with their equivalent unit rates. 8 4 7. 5 9 6 40 10 > 7 56 64 8 60 12(tell me if you don't understand.)
Answer:
I tldon?t really understand but I think The answer is
Step-by-step explanation:
8 goes with 56, 4 goes with 8, 7 goes with 7, 5 goes with 60, 9 goes with 64 I think. That Is all I understand Of the Question Sorry .
An item is regularly priced at $75. It is now priced at a discount of 65% off the regular price
Answer:
you pay $26.25
you save $48.75
Step-by-step explanation:
Trust
The volume of a substance in the gaseous state is about 1,000 times the volume of the same substance in the liquid state. How much space would 18 mL of water take up if it evaporated?
Answer:
18000ml or you an also say 18000[tex]cm^{2}[/tex] and 18 [tex]dm^{2}[/tex]
Step-by-step explanation:
In order to solve this question we will just have to multiply the current volume of the water by 1000. So we get....
18 x 1000 = 18000ml
If you will need to give the answer in [tex]cm^{2}[/tex] or in [tex]dm^{2}[/tex], then if we know that [tex]1ml = 1cm^{2}[/tex]. We can say that the volume of 18 ml of water is equal to.....
18000ml = 18000[tex]cm^{2}[/tex]
18000ml = 18 [tex]dm^{2}[/tex]
Lena made $209 for 11 hours of work.
At the same rate, how much would she make for 5 hours of work?
Answer:
Concept: Constant time
209/11= $19 per hour Henxe 5 × 19= 95Answer:
$95
Step-by-step explanation:
Divide.
209 / 11 = 19
Multiply.
19 * 5 = 95
Best of Luck!
find the measures of the numbered angles in the rhombus, will give brainliest ! pls show how you solved it :)))
Answer:
how many of these you got lol?
2 is same as 68 because isosceles triangle
1 is 90-68 = 22
3=2
4= 90
Answer:
[tex]\angle 1=22, \angle\ 2=68, \angle 3=68, \angle 4=90[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\The\ quadrilateral\ is\ a\ rhombus.\\We\ know\ that,\\A\ rhombus\ is\ a\ parallelogram\ with\ all\ sides\ equal.\\As\ it\ is\ a\ parallelogram,\ the\ opposite\ sides\ are\ parallel\ too.\\Hence,\\\angle 3\ and\ \angle68\ form\ alternate\ interior\ angles\ to\ one\ pair\ of\\ opposite\ parallel\ sides\ in\ the\ rhombus,\ and\ are\ equal\ in\ measure.\\Hence,\\\angle 3=68\\[/tex]
[tex]As\ we\ know\ that\ the\ diagonals\ of\ a\ rhombus\ are\ perpendicular\\ bisectors\ to\ each\ other:\\\angle 4\ forms\ a\ 90.\\Hence,\\\angle 4=90[/tex]
[tex]Now,\ lets\ consider\ the\ isosceles\ triangle\ created\ by\ two\ equal\ sides\ of\\ the\ rhombus\ with\ one\ of\ its\ base\ angles\ \angle 2.\\Now,\\We\ know\ that,\\Base\ angles\ opposite\ to\ equal\ sides\ are\ equal\ too.\\Hence,\\As\ the\ two\ sides\ are\ equal,\\Base\ angles\ \angle 68\ and\ \angle 2\ are\ equal\ too.\\Hence,\\\angle 2=68[/tex]
[tex]Now,\ lets\ consider\ the\ triangle\ made\ up\ of\ \angle 1\ and\ \angle 2:\\We\ know\ that,\\\angle 2=68 [Proven]\\The\ third\ angle\ is\ 90\ as\ the\ diagonals\ of\ a\ rhombus\ are\ perpendicular\\ bisectors.\\Hence,\\\angle 1+ \angle 2 +90=180 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence,\\\angle 1+ \angle 2=90\\\angle 1+68=90\\\angle 1=90-68\\\angle 1=22[/tex]
[tex]By\ putting\ it\ all\ together\ we\ have:\\\angle 1=22, \angle\ 2=68, \angle 3=68, \angle 4=90[/tex]
If J is the centroid of CDE, DE=52, FC=15, and HE= 14, find each missing measure
Answer:
DG = 26
GE = 26
DF = 15
CH = 14
CE = 28
Step-by-step explanation:
Find the image attached for the complete question
IF If J is the centroid of CDE, this means that J divides CG, FE, DC, CE and DH into two equal parts.
The following expressions are therefore true
DG + GE = DE and DG = GE
Substituting
DG + DG = DE
2DG = DE
Given DE - 52
2DG = 52
DG = 52/2
DG = 26
Since DG = GE, hence GE = 26
Also DF + FC = DC and DF = FC
Since FC = 15, hence DF = 15
Also CH + HE = CE and CH = HE
Since HE = 14, hence CH = 14
CE = 14+14
CE = 28
DG = 26, GE = 26, DF = 15, CH = 14, CE = 28
IF If J is the centroid of CDE, this means that J divides CG, FE, DC, CE and DH into two equal parts
Therefore,
DG + GE = DE ....(1)
DG = GE ...(2)
Substituting (2) in (1) ,we get
DG + DG = DE
2DG = DE
Also, DE = 52 (Given)
So, 2DG = 52
DG = 26
As, DG = GE,
Therefore, GE = 26
Also, DF + FC = DC and DF = FC
As, FC = 15,
So, DF = 15
Also CH + HE = CE and CH = HE
Since HE = 14,
So, CH = 14
CE = 14+14=28
So, CE = 28
Therefore, DG = 26 , GE = 26, DF = 15, CH = 14, CE = 28
Learn more:https://brainly.com/question/20756448
-8 \cdot f(0) + 4 \cdot g(-8) =−8⋅f(0)+4⋅g(−8)=
Answer:
[tex]-8f(0) +4g(-8)=-32[/tex]
Step-by-step explanation:
Given
See attachment
Required
[tex]-8f(0) +4g(-8)[/tex]
From the attachment;
[tex]f(0) = 1[/tex]
and
[tex]g(-8) = -6[/tex]
Substitute these values in [tex]-8f(0) +4g(-8)[/tex]
[tex]-8 * 1 + 4 * -6[/tex]
[tex]-8 -24[/tex]
[tex]-32[/tex]
Hence:
[tex]-8f(0) +4g(-8)=-32[/tex]
Solve for y
*show your work*
1. 3x + y = 5
2. Y + x = -4
3. 4x + 4y = -36
4. 6x + 2y = 22
5. 3y = 6x = 15
Answer:
1. Y= 5-3x
2. Y= -4-x
3. Y= -9-x
4. Y= 11-3x
5. Y=2x=5
Sophia is shopping for a new basketball. The basketball she is going to buy is priced at $18.50, but she has a coupon for 20% off. How much money will she save if she uses the coupon?
Answer:
$14.80
Step-by-step explanation:
18.50 * 0.20 = 3.70
Then
18.50 - 3.70
Yo I am not 100% sure. I have 90% sure that it is right answer though.
If that isn't one of your answer choices then it means it is 3.70.
5. Which one choice is written in scientific notation.
A. 0.2 x 107
B. 11 x 10-8
C. 1.01 x 10-2
D. 82 x 10°
Answer: A is
Step-by-step explanation: its the only one that follows the rules
Given that triangle ABC ~ triangle DEF, solve for x and y
The value of x and y are 42/5 and 55/6 after using the property of a similar triangle.
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
We have two triangles shown in the picture.
By using the property of a similar triangle:
y/7 = 11/x = 6/5
y/7 = 6/5
y = 42/5
11/x = 6/5
x = 55/6
Thus, the value of x and y are 42/5 and 55/6 after using the property of a similar triangle.
Learn more about the similarity of triangles here:
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(HELP ASAP) Use numerals instead of words.
What is the equation of the parabola passing through the points 2,3 , 6,9and 8,0?
Answers:
-1 in the first box19/2 or 9.5 in the second box-12 in the third box=================================================
Work Shown:
We'll use the template y = ax^2 + bx + c
If (x,y) = (2,3) is on the parabola, then y = ax^2+bx+c turns into 3 = a(2)^2 + b(2) + c. That simplifies to 4a+2b+c = 3If (x,y) = (6,9) is on the parabola, then y = ax^2+bx+c turns into 9 = a(6)^2 + b(6) + c. That simplifies to 36a+6b+c = 9If (x,y) = (8,0) is on the parabola, then y = ax^2+bx+c turns into 0 = a(8)^2 + b(8) + c. That simplifies to 64a+8b+c = 0The system of equations is
[tex]\begin{cases}4a+2b+c = 3\\36a+6b+c = 9\\64a+8b+c = 0\end{cases}[/tex]
We have 3 equations and 3 unknowns.
-----------------------------------
Let's solve the first equation for c
4a+2b+c = 3
2b+c = 3-4a
c = 3-4a-2b
c = -4a-2b+3
Plug that into the second equation and simplify
36a+6b+c = 9
36a+6b+(-4a-2b+3) = 9
32a+4b+3 = 9
32a+4b = 9-3
32a+4b = 6
2(16a+2b) = 6
16a+2b = 6/2
16a+2b = 3 .... we'll use this later
Plug that value of c into the third equation as well
64a+8b+c = 0
64a+8b+(-4a-2b+3) = 0
60a+6b+3 = 0
3(20a+2b+1) = 0
20a+2b+1 = 0
20a+2b = -1
--------------------------
We have a new system of equations. This time it deals with 2 variables instead of 3. We can think of this as a reduced equivalent system.
[tex]\begin{cases}16a+2b = 3\\20a+2b = -1\end{cases}[/tex]
Note how subtracting the terms straight down has the b terms canceling (since 2b-2b = 0b = 0)
The 'a' terms subtract to 16a-20a = -4a
The terms on the right hand side subtract to 3-(-1) = 3+1 = 4
We end up with the equation -4a = 4 which solves to a = -1
Use this value of 'a' to find b
16a+2b = 3
16(-1)+2b = 3
-16+2b = 3
2b = 3+16
2b = 19
b = 19/2
b = 9.5
Now use the values of a and b to find c
4a+2b+c = 3
4(-1)+2(9.5)+c = 3
-4+19+c = 3
15+c = 3
c = 3-15
c = -12
--------------------------
Summary:
The values of a,b,c we found were
a = -1b = 19/2 = 9.5c = -12So the function is
f(x) = -x^2 + (19/2)x - 12
which is equivalent to
f(x) = -x^2 + 9.5x - 12
To check this answer, plug in x = 2, x = 6, x = 8 one at a time. You should get y = 3, y = 9 and y = 0 in that order.
Answer:
f(x)=-x^2+9.5-12
Step-by-step explanation:
- for the first box
9.5 for the second box
-12 for the third box
Question
The heights of five adults are 62, 72, 73, 69, and 71 inches. What is the average height, in inches, of the
five adults?
O 68.6
O 68.8
O 69.2
O 69.4
Answer:
69.4 inches
Step-by-step explanation:
62 + 72 + 73 + 69 + 71 = 347
347 / 5 = 69.4
5 squared plus 5 squared plus 8 squared.
Answer:
114
Step-by-step explanation:
25 + 25 + 64 = 114
Help will give brainist
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
5x - 4y = 34 find y when x= -3
Answer: Y = -12.25
Step-by-step explanation:
Answer:
-4.75
Step-by-step explanation:
5(-3) - 4y = 34
-15 - 4y = 34
-4y = 19
y = -4.75
find the value of X if 8x-6 and 32
Answer:
4.75
Step-by-step explanation:
Equation:8x-6=32
8x=38
x=4.75
The value of x from the equation 8x - 6 = 32 is x = 4.75
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
8x - 6 = 32 be equation (1)
On simplifying the equation , we get
Adding 6 on both sides of the equation , we get
8x = 38
Divide by 8 on both sides of the equation , we get
The value of x = 4.75
Therefore , the value of x is 4.75
Hence , The value of x from the equation 8x - 6 = 32 is x = 4.75
To learn more about equations click :
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Tom is 13 years old. Brad is 10 yrs old. which number sentence can be used to find how much older Tom is than Brad
Answer:
is there a multipe choice?
Answer: 13-10=3
Step-by-step explanation:
Enter the expression using exponents. 13 × 13 × 13 × 13 × 13 × 13 × 13
13 BY THE POWER OF 7
Step-by-step explanation:
Answer:
13^7
Step-by-step explanation:
13^7 is equal to multiplying the same number 7 times ,/////,
a club has two membership levels gold and silver gold members pay 10$ per year and silver members pay 5 per year.The Club collected 300$ on memberships this year.Let g the number of gold members this year.which graph models the relationship between the number of gold and silver members?
Answer:
A
Step-by-step explanation:
CAUSE MATH
I GOT THE SAME QUESTION AND GOT IT CORRECT. YEET :))))))))
. If n(A)=2 n(B)=3 n(AՈB) =24, what is the value of n(AUB)?
Step-by-step explanation:
The answer is is the picture..
Gerry borrowed $7500 at a simple interest rate of 9% for 4 1/2 years to buy a car. How much simple interest did Gerry pay?
Answer:
the answer is $3037.50
Step-by-step explanation:
%9 = 0.9
by multiplying 0.9 to 7500 we get 675
once we get this we must multiply it by the number of years
4 and 1 half or 4.5 times 675 gives us our answer my friend ;)
IXL- 8th grade math W.14
A person can pay $11 for a membership to the art museum and then go to the museum for just $5 per visit. What is the maximum number of visits a member of the art museum can make for a total cost of $31?
Answer In the number of visits. (Step by step if you could please I’m doing this IXL having no idea how to do these)
Answer:
4 visits.
Step-by-step explanation:
First make an equation to represent the cost of the museum stuff using the formula y=mx+b
y=5x+11 would be the formula because you pay a flat fee of $11 for the membership and $5 for each visit after (x represents visits, y represents total cost)
Now we need to figure out how many visits a bill of $31 would represent.
We plug in 31 for y because y represents the total cost.
31=5x+11
Now solve for x.
Subtract 11 from both sides: 20=5x
Divide each side by 5: 4=x
Since x=4, it means that a bill of $31 would represent four visits.
Answer:
The maximum number of visits a member of the art museum can make for a total cost of $31 is 4 visits.
Step-by-step explanation:
Since the person must pay a membership fee of $11, we can deduct $11 from the total cost of $31.
$31 - $11 = $20
Now, we have $20 left to max out. Since each visit to the art museum is $5 per visit, we can divide 20 by 5.
$20 / $5 = 4
So the answer must be the person can make 4 maximum visits (and buy a membership) to equal $31. Hope this helps.
I dont even know where to start
Answer:
Step-by-step explanation:
( -1, 14 ) and (9, 14) notice the y coordinate is the same and the distance between points is 10 (from -1 to 0 is 1 and from 0 to 9 is 9 , 1+9 =10)
The axis of symetry is in the middle between the points so is at
x= (9- 10/2) = 9-5 =4
x=4
point (2, 2), vertex (5, -2.5), equation y= a(x-h)²+k
where h=5, k= -2.5, x=2, y=2 so substitute
2= a( 2-5)² -2.5
2= 9a -2.5
2+2.5 = 9a
4.5/9 =a
0.5 = a
Find the unknown side length x.
Answer:
x = [tex]\sqrt{65}[/tex]
Step-by-step explanation:
The altitude of the triangle must equal 4 because it is a right triangle with another leg of 3 and a hypotenuse of 5 (reason is due to the pythagorean theorem)
Therefore, the triangle on the right has legs of 4 and 7 and, again, use the phythagorean theorem to find 'x' (the hypotenuse)
[tex]4^{2}[/tex] + [tex]7^{2}[/tex] = [tex]x^{2}[/tex]
16 + 49 = [tex]x^{2}[/tex]
65 = [tex]x^{2}[/tex]
x = sq rt 65
X = [ ? ]
PLEASE HELP
Step-by-step explanation:
60° + 60° + x + x = 180°. (Sum of angles in a triangle = 180°)
Therefore 2x = 60° and x = 30°.
Answer:
Step-by-step explanation:
2x + 60 = (180 - 60)
x = (180-120)/2
x = 30
what numbers 60, 90, 30, and 45 mean in each ratio statement?
Answer:
Step-by-step explanation:
30 is half or 60
45 is half of 90
1:2 ratio
7: please help! please only real answers; will report
Answer:
The resulting function is [tex]g(x) = \log_{2} (x+5)-4[/tex].
Step-by-step explanation:
Let [tex]f(x)[/tex] a real function, we define the following function operations:
Horizontal translation
[tex]g(x) = f(x + a)[/tex] (1)
If [tex]a > 0[/tex], then horizontal translation is to the left, otherwise it is to the right.
Vertical translation
[tex]g(x) = f(x) + a[/tex] (2)
If [tex]a> 0[/tex], then vertical translation is upwards, otherwise it is downwards.
Knowing that [tex]f(x) = \log_{2}x[/tex] and [tex]g(x)[/tex] is the result of translating [tex]f(x)[/tex] four units downwards and five units to the left. Then, we find that:
[tex]g(x) = \log_{2} (x+5)-4[/tex]
The resulting function is [tex]g(x) = \log_{2} (x+5)-4[/tex].