The values of x and y that make the quadrilateral a parallelogram are, X = 25 & Y = 15
What is quadrilateral?Quadrilateral are the type of polygon who has 4 sides, on the basis of length and angle between sides we can further classify quadrilateral into following categories;
for example, Rectangle, Square, Parallelogram, Rhombus, Trapezium
Given that,
A parallelogram whose all the angles are,
(4x + 13)°, (4y + 7)°, (3x - 8)°, (5x - 12)°
It is known that,
Opposite Interior angles of parallelogram are equal
so,
⇒ (4x + 13) = (5x - 12)
⇒ x = 25
⇒ (4y + 7) = (3x - 8)
⇒ 4y + 7 = 75 - 8
⇒ 4y = 60
⇒ y = 15
Hence, the values of x and y are respectively 25, 15
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Phil's height is 51.2 cm, suzanne's height is 5'4", and suzanne's shadow lengthat gobblers knob is 76.2
Answer:
[tex]P_1 = 24cm[/tex]
Step-by-step explanation:
Represent:
Phil's height with P
Suzanne's height with S
Phil's shadow with P1
Suzanne's shadow with S1
So, we have:
[tex]P = 51.2cm[/tex]
[tex]S = 5'4"[/tex]
[tex]S_1 = 76.2cm[/tex]
Required
Calculate the length of Phil's shadow --- Missing part of question
To do this, we make use of the following equivalent ratio.
[tex]P:S = P_1 : S_1[/tex]
Convert [tex]S = 5'4"[/tex] to cm
[tex]S = 5ft\ 4in[/tex]
[tex]S = (5*30.48+ 4*2.54)cm[/tex]
[tex]S = 162.56cm[/tex]
Substitute values for P, S and S1
[tex]51.2cm : 162.56cm = P_1 : 76.2cm[/tex]
Express as fraction
[tex]\frac{51.2cm}{162.56cm} = \frac{P_1 }{ 76.2cm}[/tex]
Make P1 the subject
[tex]P_1 = 76.2cm * \frac{51.2cm}{162.56cm}[/tex]
[tex]P_1 = 76.2cm * \frac{51.2}{162.56}[/tex]
[tex]P_1 = \frac{76.2cm * 51.2}{162.56}[/tex]
[tex]P_1 = \frac{3901.44cm}{162.56}[/tex]
[tex]P_1 = 24cm[/tex]
Hence, the length of Phil's shadow is 24 cm
Factorise x + 5x + 6
Answer:
6x+6
Step-by-step explanation:
Combine like terms:
x + 5x +6
6x+6
-5x = 25
what is the answer for x?
Answer:
i think its -5
Step-by-step explanation:
if you devide 25 by -5 you get -5
Answer: x = -5
Step-by-step explanation:
We can use inverse operations to solve the equation. Because the term "-5x" is multiplication (because you are multiplying x by -5), we can use division to solve the equation.
First, we will divide -5 from 25.
25 ÷ -5 = -5.
Because of this, x = -5!
If we're not sure, we can also check the equation.
-5 x -5 = 25, so the answer is true.
In conclusion, x = -5!
I saw answers like 22, but that’s not an option
Answer:
the answer is 57
Step-by-step explanation:
Explain how to find the distance between 1.5 and any point, n, on a number line.
4 divided by 2 (2/5) ???
Answer:
as decimal = 2
as fraction = 1/2
Help!!! Please help me I need help on my homework!
Answer:
25 degrees and 45 degrees
Step-by-step explanation:
A triangle's angles HAVE TO add up to 180 degrees, no more no less. 110 + 45 + 25 = 180
Written as a simplified polynomial in standard form, what is the result when
(x - 2)^2is subtracted from 9x^2-8x?
Answer:
9x^2 - 10x -4
Step-by-step explanation:
It is set up like this
9x^2 - 8x
- (x-2)2
First solve (x-2)2
the answer is (2x-4)
so now you can do this instead
9x^2 - 8x
- 2x - 4
----------------------------------
9x^2 - 10x +4
9x^2 minus zero is 9x^2
-8x-2x is -10x
0- -4 is 4 because that is like saying 0 + 4 because double negatives equal a positive
A simpler way is to change all the numbers to the opposite sign and then change the minus to a plus
like this
9x^2 - 8x
+ -2x + 4
----------------------------------
9x^2 - 10x +4
Answer:
8x^2-4x-4
Step-by-step explanation:
On delta math
A family of 2 adults and 3 children went on holiday to Miami.
The family visited a theme park.
They paid a total of 322 dollars to go in.
The exchange rate was £1 = 1.84 dollars.
Change 322 dollars to pounds (£).
Answer:
£175
Step-by-step explanation:
Given the exchange rate was £1 = 1.84 dollars.
We are to change 322 dollars to pounds (£).
£1 = 1.84 dollars.
x = 322 dollars
Cross multiply
1.84 * x = 322
1.84x = 322
x = 322/1.84
x = 175
Hence 322 dollars in pounds will be £175
simplify the following 7+(_10)
Answer:
7 or -3
Step-by-step explanation:
its -3 only if the number you typed was ( -10 ) because i can't really tell if that dash is supposed to be there or not.
steps for 7 :
7 + (10)
7 + 1 ‧ 0
7 + 0
7
steps for -3 :
7 + ( -10 )
7 - 10
-3
GUYS PLEASE I NEED HELP
Given:
The graphs of two parabolas.
To find:
The equation of the quadratic function with given graphs.
Solution:
(a)
The factor form of a parabola is
[tex]y=a(x-b)(x-c)[/tex]
Where, a is a constant, b and c are x-intercepts.
From the graph (a) it is clear that the graph intersect the x-axis at -1 and 3. So, b=-1 and c=3.
[tex]y=a(x-(-1))(x-3)[/tex]
[tex]y=a(x+1)(x-3)[/tex] ...(i)
Put x=0 and y=3 because the y-intercept is (0,3).
[tex]3=a(0+1)(0-3)[/tex]
[tex]3=-3a[/tex]
[tex]\dfrac{3}{-3}=a[/tex]
[tex]-1=a[/tex]
Putting a=-1 in (i), we get
[tex]y=-1(x+1)(x-3)[/tex]
[tex]y=-(x+1)(x-3)[/tex]
Therefore, the equation of the parabola is [tex]y=-(x+1)(x-3)[/tex].
(b)
The vertex form of a parabola is
[tex]y=a(x-h)^2+k[/tex]
Where, a is a constant and (h,k) is vertex.
From the the graph (b), it is clear that the vertex of the of the parabola is at point (2,0) and y-axis is (0,8). So, h=2, k=0.
[tex]y=a(x-2)^2+0[/tex]
[tex]y=a(x-2)^2[/tex] ...(ii)
Put x=0 and y=8 because the y-intercept is (0,8).
[tex]8=a(0-2)^2[/tex]
[tex]8=4a[/tex]
[tex]\dfrac{8}{4}=a[/tex]
[tex]2=a[/tex]
Putting a=2 in (ii), we get
[tex]y=2(x-2)^2[/tex]
Therefore, the equation of the parabola is [tex]y=2(x-2)^2[/tex].
please help again :,)) is it one solution, all solutions, or one
please show your work.
Answer:
Infinite many solutions
Step-by-step explanation:
If you graph it there is only 1 line
What is the price ofpremium gasoline rounded to the nearestdollar? Rounded to the nearest dime?Rounded to the nearest penny?
Answer:
$4 (nearest dollar) ;
$4.4 (nearest dime) ;
$4.41 (nearest penny
Step-by-step explanation:
The actual price of premium gasoline is $4.409 per gallon.
A penny = $0.01 or 1 cent
A dime = $0.1 or 10 cent
Price of premium gasoline to the nearest dollar :
$4.409 is rounded to the nearest unit = $4
Price of premium gasoline to the nearest penny : = $4.409 is rounded to the nearest hundredth = $4.41
Price of premium gasoline to the nearest dime : = $4.409 is rounded to the nearest tenth = $4.4
0.74 x 0.422 =
Who ever answers will be brainiest
Answer:
0.30384
Step-by-step explanation:
uwu
Answer:
0.31228
Step-by-step explanation:
convert them into fractions: 74/100 * 422/1000simplify : 37/500 * 211/500multiply your answerYes i'm the brainiest
Tell me if i'm wrong
HELP PLEASE ANSWER THIS THANK YOU
Solve for X: -2(6x+4)=88. Answer fast please
Answer:
√x+2=2
Step-by-step explanation:
The temperature at dawn was ─6°F. By noon the temperature had risen 12°F. What was the temperature at noon?
Answer choices
6
-6
18
-18
Answer:
6
Step-by-step explanation:
Negative six plus twelve is positive six
Answer:
-6
Step-by-step explanation:
its how it woks
Write the equation of a line that goes through (4,3) and has a slope of m=2
Answer:
y = 2x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, then
y = 2x + c ← is the partial equation
To find c substitute (4, 3) into the partial equation
3 = 8 + c ⇒ c = 3 - 8 = - 5
y = 2x - 5 ← equation of line
Solve each equation.
1) -20 = -4x - 6x
Answer:
X= 2
Why
-20=-4x-6x
-20=-10x
-20/x=-10x/x
2=x
Answer:
i love algebra anyways
The ans is in the picture and the stops how i got it
(hope that helps can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
What is 2(5 to the second power) +3(5) - 12
Answer:
53
Step-by-step explanation:
solve using a2 + b2 = c2
show work please :)
Answer:
Step-by-step explanation:
h^2=x^2+y^2 which just means the the hypotenuse of a right triangle squared is equal to the sum of its squared sides.
[tex]h^2=10^2+15^2\\ \\ h^2=100+225\\ \\ h^2=325\\ \\ h=\sqrt{325}\\ \\h=5\sqrt{13}\\ \\ h\approx 18.03[/tex]
h=
find the slope of the line
Answer:
Number 7 is 3/4 and 8 is 4/-3
Step-by-step explanation:You start at the first point and count up to the same line, then count to the left or right (whichever one it is) and thats the slope. slope is always rise over run
determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form. 3, 12, 48,
Answer:
i think
3 ,
12
12 ,
48
48 ,
192
192 ,
768
768
Write an equation in slope intercept form for the graph of the line.
Zahra is a waitress at a restaurant. Each day she works, Zahra will make a guaranteed
wage of $25, however the additional amount that Zahra earns from tips depends on
the number of tables she waits on that day. From past experience, Zahra noticed that
she will get about $14 in tips for each table she waits on. How much would Zahra
expect to earn in a day on which she waits on 10 tables? How much would Zahra
expect to make in a day when waiting on t tables?
Answer:
1. $165
Step-by-step explanation:
Zahra will expect to earn 14 *t +25 in a day on which she waits on "t" tables.
What is Linear function?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.
Given, Zahra is a waitress at a restaurant. Each day she works, Zahra will make a guaranteed wage of $25,
Let "t" be the tables Zahra is waitressing.
Since, she will get about $14 in tips for each table she waits on.
Total additional tip = t * 14
guaranteed wage = 25$
So, Total Zahra will earn for waitressing on "t" tables = 14 *t +25
For t = 10 tables
Zahra will earn for waitressing on 10 tables = 14 * 10 +25
Zahra will earn for waitressing on 10 tables = 165
Therefore, Zahra will expect to earn $165 in a day on which she waits on 10 tables.
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Zach earns 37.50 every weekend for delivering newspapers. Zach is saving his earnings in order to buy a new computer that costs 470.80. if Zach already has 58.30enter the minimum number of weekends Zach will need to work before he has enough money to buy the computer.
Answer:
11 weekends.
Step-by-step explanation:
470.80 = 58.30 + 37.50x
-58.30 -58.30
412.50 = 37.50x
divide both sides by 37.50, and x = 11
The numbers 1 through 10 are
written on individual cards and
placed in a bag. If you reach
into the bag and grab one card,
what is the probability that you
will grab the number 2 card?
Answer:
1/10
Step-by-step explanation:
SInce there are a total of 10 cards and only one card with the number 2, then out of the ten cards you only have a 1/10 chance of grabbing the number 2 card! Hope this helps :)
Please help and show work
Answer:
254.34 in²
Step-by-step explanation:
The diameter is 18, so the radius is 9. The formula for circumference is [tex]\pi r^{2}[/tex]. 9 squared is 81. 81 x 3.14 is 254.34.
Hope it helps!
Solve the right triangle. Round decimals answers to the nearest tenth.
Answer:
3^2 + x^2 = 9^2
9 + x^2 = 81
x^2 = 72
x = [tex]\sqrt{72\\}[/tex], which is about 8.5
Cosine X = 3/9
Cosine X = 1/3
angle x= 70.5
If angle x= 70.5, angle z = 19.5 degrees.
Let me know if this helps!
the other answer is correct but i got overzealous and answered it too so uh yeah the other answer is right and im not the brightest, have a nice day :))
Help ig !!!!!!!!!!!!!!!