Given:
A geometric figure.
To find:
The values of x and y.
Solution:
The given figure is a kite because it has two disjoint pairs of consecutive congruent sides.
Kite has one pair of congruent opposite angles. The angled included between non-congruent sides are congruent.
[tex](4x+13)^\circ=(5x-15)^\circ[/tex]
[tex]4x+13=5x-15[/tex]
[tex]13+15=5x-4x[/tex]
[tex]28=x[/tex]
The diagonal bisects the other pair of opposite angles.
The missing angle of the above triangle is [tex]y^\circ[/tex].
Using angle sum property, we get
[tex](y-9)^\circ+y^\circ+(4x+13)^\circ=180^\circ[/tex]
[tex](2y-9)^\circ+(4(28)+13)^\circ=180^\circ[/tex]
[tex](2y-9)^\circ+(125)^\circ=180^\circ[/tex]
[tex](2y-9)^\circ=180^\circ-125^\circ[/tex]
On further simplification, we get
[tex](2y-9)^\circ=55^\circ[/tex]
[tex]2y-9=55[/tex]
[tex]2y=55+9[/tex]
[tex]2y=64[/tex]
Divide both sides by 2.
[tex]y=32[/tex]
Therefore, the value of x is 28 and the value of y is 32.
Find x please help I need the answer before 11:59
Answer:
122 degrees
Step-by-step explanation:
180-148=32
90-32=58
180-58=122
Can anyone please help me with this math equation?
Answer:
1/5
Step-by-step explanation:
umm what's (3/5)/3
1/5
-8(6x +3)
pleasegghhjfhnmyufgbdz
Answer:
it would be -48x - 24
Answer:
the asnwer is -48x-24
Step-by-step explanation:
Which graph best represents a quadratic function that has only one zero?
Answer:
B
Step-by-step explanation:
A has 2 it crosses the x axis 2x
B Has 1.
C has 2
D has none since it never touched the x axis
Option B is correct.
Quadratic function :If the graph of quadratic function crosses x - axis at two points then that function has two zeros.
If the graph of quadratic function crosses x - axis at only one point then that function has only one zero.If the graph of quadratic function do not crosses x - axis at any point then that function has no zeros.From given option, It is observed that option B graph crosses x- axis at only one point.Therefore, Option B graph represent a quadratic function that has only one zero.
Learn more about the graph of quadratic function here:
https://brainly.com/question/10606041
A ball is launched upward at 26 ft/sec from a platform that is 12 feet high. When will the ball hit the ground
Answer:
9.4 seconds or 1 second
Step-by-step explanation:
From;
h = ut ± 1/2gt^2
h = 12 feet
g = acceleration due to gravity = 10 m/s^2
u = 26 ft/sec
Since it is an upward motion g is negative
12 = 26t - 5t^2
Hence;
5t^2 - 26t + 12 = 0
Solving the quadratic equation
Considering that the time taken to go up is the same time taken to hit the ground again
t = 2(4.7) seconds or t = 2(0.5) seconds
t = 9.4 seconds or 1 second
Find the total surface area of this cone
Answer:
S.A. = 1,017.36
Step-by-step explanation:
S.A. = [tex]\pi r^{2} + \pi rl[/tex]
12 x 12 x 3.14 = 452.16
3.14 x 12 x 15 = 565.2
565.2 + 452.16 = 1,017.36
Find the value of x and each arc measure
Answer:
x=11
mMN=65
mNP=115
mNQP=245
Step-by-step explanation:
10x-45=6x-1
4x=44
x=11
mMN 6(11)-1=65/ 10(11)-45=65
mNP 180-65=115
mNQP 65+115+65=245
Ted owns 3 surfboards and 2 wet suits. If he takes one surfboard and one wet suit to the beach, how many different combinations can he choose?
Group of answer choices
5
12
6
4 i will give brianllent for a right
The value of xis
12x + 3
Ilr +9
Answer:
x=6
Step-by-step explanation:
12x + 3=11x+9 corresponding angle
12x-11x=9-3
x=6
Answer:
x = 6
Step-by-step explanation:
Give him Brainliest PLZ
"masamstha31"
OMG PANICKING RIGHT ABOUT NOW OMG!!!
Answer:
132
Step-by-step explanation:
Answer: V = 66
Step-by-step explanation:
Ashlee was born on 12/24/2002. How many eight-digit codes could she make using the digits in her birthday?
Answer:
840
Step-by-step explanation:
Given the date:
Birth date = 12/24/2002
Number of digits = 8 = 8! = (8*7*6*5*4*3*2*1) = 40320
Repeated digits :
digit 2 = 4 times = 4! = (4 * 3 *2 * 1) = 24
digit 0 = 2 times = 2! = 2*1 = 2
Therefore the number of 8 digit codes that can be formed is :
8! / (4! * 2!)
40320 / (24 * 2)
40320 / 48
= 840
Hence, 840 8 digit codes can be formed
PLEASE PLEASE PLEASE I ALMOST DONE AND I NEED THIS QUESTION
Answer:
107
Step-by-step explanation:
Ann buys a dress in a sale. The normal price of the dress is £36 and it is reduced by 20%. Work out the sale price of the dress.
Reduced by 20% means it is on sale for 80% of the original price ( 100% - 20% = 80%)
Multiply the original price by 80%
36 x 0.8 = 28.80
The sale price is £28.80
i need help lol..
what is a solution to this equation:
y = -1/4x + 8
Answer:
You cannot solve this
Step-by-step explanation:
you need at least one value given like x=something or y=something so you can plug it in
if you meant solve for x, then x= -4y+32
Help me plzzz kinda confused on this sqaure stuff
Answer:
The square JKLM is a square with 4 right angles
It is a parallelogram
Step-by-step explanation:
Derek bought his truck for $30,000. The value has dropped by $900 each year. He determined that the value of his truck (V) can be modeled by: V = 30,000 - 900x where x is the number of years since he bought his truck.
In how many years will his truck be worth $4,800?
Answer:
28 years
Step-by-step explanation:
The difference between 30,000 and 4,800 is 25200. So we divide this number by 900 to find out how many years it will take for the truck to depreciate to this value
match equivalent fraction
find the side length of a cube with a volume of 69 to the 3 power yds . If necessary, round your answer to the nearest tenth.
Answer:
the side length of the cube is 4.10
Step-by-step explanation:
The computation of the side length of the cube is shown below:
As we know that
The volume of the cube is side^3
So,
69^3 = s^3
Now the side length of the cube is
= ∛69
= 4.10
Hence, the side length of the cube is 4.10
The same would be considered and relevant too
The above formula should be applied for the same
Suppose on April 1, a gag store sold a total of 27 widgets and wombats combined. If widgets cost
$0.75, wombats cost $1.25, and the store received a total of $27.75 for these two items, how
many of each item did the store sell?
Answer:
Widgets: 12
Wombats: 15
Step-by-step explanation:
Let x represent widgets
y represent wombats
Set up the equations
(1) x + y = 27
(2) 0.75x + 1.25y = 27.75
Solve equation (1), x + y = 27 for x
x = 27 - y
Substitute 27- y for x into equation (2)
0.75(27 - y) + 1.25y = 27.75
0.5y + 20.25 = 27.75
0.5y = 7.5
y = 15
Substitute 15 for y into equation (2)
x = 27 - 15
= 12
someone again plz help my lil sister
Answer:
9 + 2j is the required algebraic equation.
Answer the equation
[tex](25+x)^{2} -35^{2} =x^{2}[/tex]
Answer:
Step-by-step explanation:
Here are some steps to help you
You gotta use PEMDAS:
ParenthesisExponentMultiplicationDivisionAdditionSubtractionStep 1
x^2+50x-600=x^2 You gotta Remove parenthesis
Step 2
x^2+50x−600=x^2 subtract x^2 from sides
50x-600=0
Step 3
50x-600=0 add 600 to the sides
50x=600
Step 4
50x=600 Divide the sides by 50
So therefore, your answer is x=12
Hope this helps
There are 18 eight graders, 12 seventh graders, and 9 6th graders on the middle school football team. What is the ratio of 8th graders to 6th graders, in lowest terms?
Group of answer choices
2:1
1:2
18:9
Answer:
2 : 1
Step-by-step explanation:
Answer:
2:1
Step-by-step explanation:
well 8th graders are 18 and 6th graders are 9
so 18:9
Simplify
2:1
Since its in the order of 8th graders:6th graders
Use the Distributive Property to complete the equivalent expression. Enter your answers in the boxes.
4(y – 3) =
Answer:
4y−12
Step-by-step explanation:
4(y−3)
Use the distributive property to multiply 4 by y−3.
4y−12
hello please help i’ll give brainliest
Resolución de Problemas con Ecuaciones Lineales
o de Primer Grado.
Ejemplo
Utilizamos el lenguaje algebraico para hacer esa representación.
Sea x número de casos Infectados en Santiago
Sea 2x + 5,088 números de casos Infectados en Sto. Dgo.
Entonces x + 2x + 5,088 = 43,956
x + 2x = 43,956 - 5,088
3x = 38,868
x = 38,868
3
x = 12,912
Luego: x número de casos Infectados en Santiago = 12,912
2x + 5,088 número de casos Infectados en Sto. Dgo. = 2 (12,912) + 5,088 = 31,000 43,956
NESECITO QUE ME AYUDEN A RESOLVER EL PROBLEMA
ACTIVIDAD 1 : Según el boletín #329, d/f 10/02/2021 del Ministerio de Salud Pública, el número total de casos infectados hasta esa fecha en el Distrito Nacional, era el doble más 12,585 casos más que los que había en la provincia de la Santiago. ¿Cuántos contagiados hay en cada una de las provincias si entre las dos suman 89,766 casos?
HELP MEEEEE
Answer:
what? pls translate it to english
Sara was thinking of a number. Sara adds 12, then divides by 7 to get an answer of 11. What was the original number?
Answer:
65
Step-by-step explanation:
Do the opposite of what the question gives you.
Sara has the number 11. She divided by 7, so you would multiply by 7:
11 x 7 = 77
Next, Sara added 12, so you will subtract by 12:
77 - 12 = 65
65 is the number Sara was thinking of.
~
Please do correctly! If you do I will mark you Brainliest!
Answer:
The figure should be 56 units squared.
Step-by-step explanation:
The long side is 14 units long (6+6+2) and the short side is 4 units long, so 14 multiplied by 4 is 56.
The equation g(t)=2+23.7t−4.9t2 models the height, in meters, of a pumpkin t seconds after it has been launched from a catapult. Is the pumpkin still in the air 8 seconds later? Explain or show how you know.
Answer:
The pumpkin is not in the air
Step-by-step explanation:
The equation is
[tex]g(t)=2+23.7t-4.9t^2[/tex]
Let us find when the pumpkin will reach the ground
[tex]0=2+23.7t-4.9t^2\\\Rightarrow -49t^2+237t+20=0\\\Rightarrow t=\frac{-237\pm \sqrt{237^2-4\left(-49\right)\times 20}}{2\left(-49\right)}\\\Rightarrow t=-0.08,4.91[/tex]
So, the pumpkin will reach the ground at 4.91 seconds. Hence, at 8 seconds the pumpkin will reach the ground.
ORAt [tex]t=8\ \text{s}[/tex]
[tex]g(8)=2+23.7\times 8-4.9\times 8^2\\\Rightarrow g(8)=-122\ \text{m}[/tex]
The height of the pumpkin is negative 122 m. This means it is lower than the ground. So, the pumpkin is not in the air 8 seconds later.
The following is a conversion table for hours and minutes. Which numbers
belong in the hours column?
Hours
Minutes
120
180
240
A
1, 2, 3
B
1, 2,4
с
2, 3, 4
D 2,5,6
Answer:
its B
Step-by-step explanation:
its b becuase
for a function,x cannot what
a) repeat
b) multiply
Answer:
A ::repeat
Step-by-step explanation:
A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it. y-values can be repeated.