Answer:
[tex]\boxed {\boxed {\sf 87 \ degrees}}[/tex]
Step-by-step explanation:
The angles in a triangle must add to 180 degrees.
We are given three angles: 2x+6, x, and 3x. Their sum must be 180, so we can create an equation.
[tex]2x+6+x+3x=180[/tex]
Combine like terms (all terms with an x) on the left side.
[tex](2x+x+3x)+6=180[/tex]
[tex]6x+6=180[/tex]
Now solve for x by isolating the variable.
6 is being added and the inverse of addition is subtraction. Subtract 6 from both sides.
[tex]6x+6-6=180-6\\6x=174\\[/tex]
x is being multiplied by 6. The inverse of multiplication is division. Divide both sides by 6.
[tex]6x/6=174/6 \\x=29[/tex]
Substitute 29 for x in the angle measures.
2x+6= 2(29)+6=58+6=64x=29 3x= 3(29)=87The largest angle is 87 degrees.
can someone please help me
Please look at picture
Answer and Step-by-step explanation:
1. Figure A, B, and C are Parallelograms
2. Figure A and C are Rectangles
3. Figure A is a Square
#teamtrees #PAW (Plant And Water)
Answer:
1) a, b, & c
2) a & c
3) a & c
Step-by-step explanation:
Two people start biking from the same point. One heads east at 13 mph, the other south at 18 mph. What is the rate at which the distance between the two people is changing after 25 minutes and after 35 minutes? What is the rate at which the distance between the two people is changing after 25 minutes?
Answer:
[tex]22.21\ \text{mph}[/tex]
[tex]22.2\ \text{mph}[/tex]
Step-by-step explanation:
[tex]\dfrac{da}{dt}=13\ \text{mph}[/tex]
[tex]\dfrac{db}{dt}=18\ \text{mph}[/tex]
[tex]\dfrac{dc}{dt}[/tex] = Rate at which the distance between the two people is changing
At 25 minutes
[tex]a=13\times \dfrac{25}{60}=5.417\ \text{miles}[/tex]
[tex]b=18\times \dfrac{25}{60}=7.5\ \text{miles}[/tex]
[tex]c=\sqrt{5.417^2+7.5^2}\\\Rightarrow c=9.25\ \text{miles}[/tex]
Distance between the two people is
[tex]c^2=a^2+b^2[/tex]
Differentiating with respect to time we get
[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{5.417\times 13+7.5\times 18}{9.25}\\\Rightarrow \dfrac{dc}{dt}=22.21\ \text{mph}[/tex]
Distance between the two people is changing at a rate of [tex]22.21\ \text{mph}[/tex].
At 35 minutes
[tex]a=13\times \dfrac{35}{60}=7.583\ \text{miles}[/tex]
[tex]b=18\times \dfrac{35}{60}=10.5\ \text{miles}[/tex]
[tex]c=\sqrt{7.583^2+10.5^2}\\\Rightarrow c=12.95\ \text{miles}[/tex]
Distance between the two people is
[tex]c^2=a^2+b^2[/tex]
Differentiating with respect to time we get
[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{7.583\times 13+10.5\times 18}{12.95}\\\Rightarrow \dfrac{dc}{dt}=22.2\ \text{mph}[/tex]
Distance between the two people is changing at a rate of [tex]22.2\ \text{mph}[/tex].
PLEASE HELPP ASAP!!! (brainly if u help)
A camper on top of a 400 foot cliff is enjoying the view. They look down and see a
bear at an angle 37 degrees. Approximately how far is the bear from the base of the
cliff? (Round your answer to the nearest foot.). REMEMBER THE UNITS
Answer:
301.42 ft from base
Step-by-step explanation:
We can look at this situation as a triangle, the cliff is straight up and we're looking for the lowest side of the triangle. So to figure this out we use tangent, tangent is equal to Opposite over adjacent. So the tangent(37)= bear from base/height of cliff. We then multiply tan(37) by 400 to get the answer
Identify the transformation from figure A to figure B in the image below.
glide reflection
reflection
translation
dilation
Answer:
Reflection
Step-by-step explanation:
Here, we want to get the transformation that yielded figure B from figure A
Looking at the plot, we can see that we have the origin as the center of transformation
The kind of transformation however is reflection
The shape A was reflected about the origin or the point (0,0) to give shape B
Answer:
glide reflection
Step-by-step explanation:
got it right on a quiz
The square root of 17 is between the what two whole numbers? (just list them with a comma in between them.)
Answer:
17 lies between 16 and 25. So√17 lies between √16 and √25. The prime factorization method is used to write a square root of a non-perfect square number in the simplest radical form.
Answer:
The answer is 16,25
A graph of is shown on the grid.
What are the zeros of f?
Answer:
no graph is provided, the zeros of f cannot be found without a graph
Step-by-step explanation:
Let f(-x) = 5x – 2 and g(x) = 2x + 3 and find f(x) –
f(0) — 9(x) = 7x – 1
f(.2) – 9(x) = 7x + 1
f(x) — 9(2) = 3x – 5
f(x) – 9(x) = -3x +5
Answer:
3x - 5
Step-by-step explanation:
Given that f(x) = 5x - 2 and g(x) = 2x+3
f(x) - g(x) = 5x-2 - (2x+3)
Expand
f(x) - g(x) = 5x - 2 - 2x - 3
Collect like terms
f(x) - g(x) = 5x - 2x -2-3
f(x) - g(x) = 3x - 5
Hence the required answer is 3x - 5
Sonya randomly surveys 26 seventh graders to gather data about the amount of time spent each week using the Internet. Sonya records the data in the dot plot shown. What is the median of the data set?
What is the mean and the median
Answer:
You're lucky I have the dot plot, other wise this could not be answered.
Median: 7.5
Mean: 7.5
Yes, they are both 7.5.
Please Hurry!!!!!
Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height. The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the box in terms of its height, x, in inches. x2 - x = Is it possible for the height of the box to be 15 inches?
Answer:
Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height.
The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the box in terms of its height, x, in inches. 24 x2 - 168 x = 2,880
Is it possible for the height of the box to be 15 inches?
Yes
Answer:
24 x2 - 168x = 2,880, Yes
Step-by-step explanation:
.
can someone help my lil sis again.
Answer:
282 + d
Step-by-step explanation:
Number of miles driven by Deandre for week 1 = 282 miles
Number of miles for week 2 = d
Total number of miles driven for two weeks can be expressed as:
(282 + d) miles
Find the product: (6x+5)(2x−7)
What is the solution to the equation 2(x + 3)2 = 98?
Answer: if you're solving by x it would be x=43/2
Step-by-step explanation:
What is the arc length of the shaded region of the circle to the newest centimeter?
Write a linear function f with f(2)=-2 and f(1)=1
Answer:
y = -3x + 4
Step-by-step explanation:
x y
0 4
1 1
2 -2
Going down 3 for every increase of x by 1, when x = 0, y = 4
At the beginning of school you set-up a 4 digit pin to get into your My Payments Plus
account, however you have not used your account since you set it up and forgot the
number. You remember that the first number was a 4 and the second number was
either a 5, 6, or 7. You had no idea what the last two numbers were.
How many
different combinations are possible?
900 combinations
200 combinations
300 combinations
1200 combinations
Answer:
Step-by-step explanation:
The first number is one choice: 1
the second number is one of 3: 3
The last 2 digits can each be any one of the 10 digits from 0 to 9: 10 * 10
3*100 = 300
Not too many, but it will take you awhile to run through them.
What is the value of x?
9514 1404 393
Answer:
98
Step-by-step explanation:
The angle bisector divides the triangle proportionally. This means ...
VY/VT = KY/KT
VY = VT(KY/KT)
x = VY +KY = (KY(VT/KT) +KY) . . . . . use the expression for VY
x = KY(VT/KT +1) . . . . . . . . . . . . . . . factor out KY
x = (68)(57/129.2 +1) . . . . . . . . .. put in the numbers
x = 98
Answer:
the answer is x=98
Step-by-step explanation:
:))))
I’ll give you brainleist please just help fast
Answer:
It's 76 degrees
Step-by-step explanation:
Thanks for branliest
Answer:
76
Step-by-step explanation:
the interior angles of a triangle always add up to 180 degrees, so all we have to do is add the 2 angle values that we know, so 48 + 56=104, then we subtract that from 180 to get 76. Hope this helps!
Solve super fast please
Answer:
x = 8
Steps:
(4x-2) + (17x+14) = 180
4x + 17x -2 + 14) = 180
21x + 12 = 180
21x = 180-12
21x = 168
x = 168/21
x = 8
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
21
Step-by-step explanation:
What is (x+1) (x+2) in standard form?
Answer:
x^2+3x+2
Step-by-step explanation:
Answer:
X^2 + 3X+2
Step-by-step explanation:
Multiply x's then multiply x's with the one and 2
then add the 2x + 1x
and you should get x^2 + 3x +2
I hope that helps
your welcome
help will give brainliest if right
BTW the last answer choice is D. 1
Two matchsticks have the same length as three bottle tops. How many bottle tops will have the same length as 50 matchsticks?
Como hago para calcular el porcentaje de unos datos agrupados , porfa ayuda no entiendo. osea tipo : tengo que calcular cual es el porcentaje de personas que trabajan que tienen esta edad 31-46 y pues nose si colocar 3%-4% ay no se estoy perdida porfa si entienden lo q trato de decir me ayudaria resto
Answer:
Falta información para darte una respuesta exacta, así que voy a dar una explicación general de este tipo de problemas.
Querés saber cuál es el porcentaje de personas que trabajan y están en el rango de edades entre 31 y 46.
Entonces lo primero que tenemos que hacer es encontrar el número total de personas que trabajan, digamos que es T (esto es el 100%)
Luego hay que encontrar el número total de personas que trabajan y tienen entre 31 y 46, digamos que es N.
Podemos relacionar estas cantidades con porcentajes de la siguiente manera:
N = P
T = 100%
Donde P es el porcentaje que queremos calcular.
Si tomamos el cociente de esas dos ecuaciones, obtenemos:
N/T = P/100%
Resolviendo para P obtenemos:
(N/T)*100% = P
El porcentaje de personas que trabajan y tienen entre 31 y 46 va a ser entonces:
P = (N/T)*100%
Así sabiendo el número total de personas que trabajan y el número de personas que trabajan y además tienen edades entre 31 y 46, podemos calcular el porcentaje que queremos.
Particularmente decis que no sabes si colocar 3% o 4%.
Lo que podria implicar que tambien quizas tengas un problema de redondeo.
Si tenes un numero como:
3.a%
donde a es un digito entre 0 y 9
si a es menor que 5, entonces redondeamos para abajo, y asi obtenemos:
3.a% = 3%
si a es igual a 5 o mayor, redondeamos para arriba, asi obteniendo:
3.a% = 4%.
What is the intermediate step in the form (x+a)^2=b(x+a)
2
=b as a result of completing the square for the following equation?
6x^2+48x+207=15
Answer:
The intermediate step are;
1) Separate the constants from the terms in x² and x
2) Divide the equation by the coefficient of x²
3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression
Step-by-step explanation:
The function given in the question is 6·x² + 48·x + 207 = 15
The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;
6·x² + 48·x + 207 = 15
We get
1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192
6·x² + 48·x = -192
2) Dividing by 6 x² + 8·x = -32
3) Add the constant that completes the square to both sides
x² + 8·x + 16 = -32 +16 = -16
x² + 8·x + 16 = -16
4) Factorize (x + 4)² = -16
5) Compare (x + 4)² = -16 which is in the form (x + a)² = b
01. Apenas uma das matrizes abaixo é, ao mesmo tempo, quadrada, diagonal e identidade. Identifique-a: a[0,1,0,1]. B[1,0,0,1]. C[1,3,0,1]. D[1,1,1,1]. E[0,1,1,0]]
Responder:
b)
1 0
0 1
Explicação passo a passo:
Das opções fornecidas:
Todas as opções atendem à condição de uma matriz quadrada, pois todas têm o mesmo número de linhas e colunas (2 * 2)
Para ter uma matriz diagonal, todas as entradas fora da diagonal principal serão Zero.
Por outro lado, a matriz de identidade é um tipo especial de matriz quadrada com uma ao longo da diagonal principal.
Indo por essas condições apenas a matriz (b); atende às três condições.
Line GH passes through points (-6,-30) and (4,-5) . What is the linear equation for line GH?
Answer:
y=1/4x+2
Step-by-step explanation:
The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1 =1/4 (x - 12). The slope-intercept form of the equation for this line.
Answer:
y=1/4x+2
The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1=1/4 (x - 12). The slope intercept form of the equation for this line.
Asking this again because the person who answered the last one gave the incorrect answer. If 7 iced cupcakes cost $21, then how much would 5 iced cupcakes cost?
Answer:
$15 for 5 cupcakes
Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?
Answer:
the mean is $80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Mean of Phone Bills =
[tex] \frac{phone \: bills \: total}{number \: of \: phone \: bills} \\ = \frac{95 + 67 + 43 + 115}{4} \\ = \frac{320}{4} \\ = 80[/tex]
Find the lateral surface 14ft area of the 2ft cylinder. Round your answer to the nearest tenth if necessary.
Answer:
616 square feet
Step-by-step explanation:
Lateral surface area of a cylinder can be determined by;
Lateral surface area = 2[tex]\pi[/tex]rh
where: r is its radius, and h is its height.
Given in the question that the height of the cylinder is 14 feet and of radius 2 feet, then;
Lateral surface area = 2[tex]\pi[/tex]rh
= 2 x [tex]\frac{22}{7}[/tex] x 2 x 14
= 2 x 22 x 2 x 7
= 616
Lateral surface area = 616 square feet
Thus, the lateral surface area of the cylinder is 616 square feet.