triangle ABC is shown in the diagram. The links of the sides are in terms of the variable n, where n >4. complete the inquality
9514 1404 393
Answer:
m∠B < m∠A < m∠C
Step-by-step explanation:
We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.
For n = 4, the side lengths are ...
a = 2(4) = 8
b = (4) +3 = 7
c = 3(4) -2 = 10
The longest side is opposite the largest angle, so the ordering of angles is ...
m∠B < m∠A < m∠C
_____
The triangle inequality requires all of these inequalities be true:
a+b > c ⇒ 3n+3 > 3n-2 . . . always trueb+c > a ⇒ 4n+1 > 2n ⇒ n > -1/2c+a > b ⇒ 5n-2 > n+3 ⇒ n > 5/4That will be the case for n > 5/4. The attached graph shows the sides and angles keep the same order for n > 3.
Answer:
M- B M-A M-C
Step-by-step explanation:
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Find the quotient: (16x + 24x2) = 2x
Answer:
48x=2x
Step-by-step explanation:
im big brain can i get brainilest
Name the longest and shortest sides of the triangle.
95°
40.0
450
Answer:
Hypotenuse is the longest side. And the side opposite to small angle are small sizes
Step-by-step explanation:
450 is longest
40.0 is the shortest
write 0.63 repeating as a fraction in simplest form
Answer:
2
Step-by-step explanation:
8=
Answer:
63/100 (the simplest form)
Step-by-step explanation:
1. Covert decimal into fraction:
0.63 = 63/100
2. Simplify (1 is the greatest common divisor of 63 and 100. The result can't be further reduced):
63/100
(-3, 3.6)
(5, 2)
what is the rate of change of y with respect to x for this function
Answer:I got -0.2
Step-by-step explanation:
The rate of change of y with respect to x for this function should be considered to be the -0.2.
Calculation of the rate of change:Since
x = -3
y = 3.6
[tex]x_1[/tex] = 5
[tex]y_1[/tex] = 2
So here the rate of change be
[tex]= (y_1 - y) \div (x_1 - x)\\\\[/tex]
= (2-3.6) ÷ (5 + 3)
= -1.6 ÷ 8
= -0.2
Hence, The rate of change of y with respect to x for this function should be considered to be the -0.2.
Learn more about rate here: https://brainly.com/question/9882283
Eugene has five payments left to make on his computer. If each payment is $157.90, how much does he still owe?
$157.90 x 5 = $789.50
He still owes $789.50
1/4 ( x − 12 ) + 1/3 ( x + 9 )
Answer: 7/12x
Step-by-step explanation:
Answer:
7x/12
Step-by-step explanation:
brainleist please
PLSSSSS CAN ANYONE DO THIS?
Answer:
Step-by-step explanation:
2x+1=5x+0
Help me please I need help with this
Answer:
A
You plug in the same x value for each and see the answer. So 2(5)*10^4= 100000. And for the other we do 4(5)*10^2 which is 200. Since is says that 2x10^4 is 50 times as great as 4x10^2, we know that a is right because 200 * 50 = 100000.
I put 37 points in this pls this is urgent!! I’ll give brainliest to best answer... PLEASEE
Answer:
19x + 550n + 200
Step-by-step explanation:
Total cost of the skirts
[tex]7x + 150n + (2n + 1) \times 200 + 4 \times 3x \\ \\ = 7x + 150n + 400n + 200 + 12x \\ \\ = \purple{ \bold{19x + 550n + 200}}[/tex]
what is the unit rate.680 km travelled in 8h pls help
Answer:
85km per hour
Step-by-step explanation
680/8= 85
Answer:
The unit rate is 85 km per hour.
Step-by-step explanation:
To find the unit rate you need to find how many units you have if the rate is one.
In other words, if you have travelled 650 km in 8 hours, to find the unit rate you would need to find how many km you could travel for 1 hour.
To find that you need to divide the amount of km travelled by hours travelled. The equation would look like this: 650/8=X. When you divide you get 85 and that is your unit rate, or how many km you travel in one hour.
Hope this makes sense! <3
A salesperson at a jewelry store earns 4% commission each week. Last week, Jarrod sold $720 worth of jewelry. How much did he make in commission? How much did the jewelry store make from his sales?
Answer:
i think its 180 im sorry if wrong
Step-by-step explanation:
Answer:
691.2
Step-by-step explanation:
720(0.04)=28.8
720-28.8=691.2
What is the domian of y=4[x+2]
Answer:
I'm pretty sure The domain of y=4[x+2] is (-infinity, infinity)
( − ∞ , ∞ ) , { x | x ∈ R }
Help!! Its a photo but I need help on it quick!!! Ty if you help me!
Answer:
36
Step-by-step explanation:
Five angles of a hexagon are each 115°. Calculate the size of the sixth angle.
Which shows the equation below written in the form ax2 + bx + c = 0?
x² + 6x+8=3
O A. x2 + 6x + 5 = 0
O B. x2 + 6x + 11 = 0
O C. x2 + 6x + 8 = 0
O D. x2 + 6x + 3 = 0
Answer:
A
Step-by-step explanation:
X^2 + 6X + 8 =3
TRANSPOSE 3 TO LEFT
X^2 + 6X + 8 - 3 = 0
CALCULATE
X^2 + 6 X + 5 = 0
A tank holds 1,000 gallons of syrup. Danielle filled 65 5-gallon cans with syrup. How much syrup was left in the tank when she finished? Ernie bought 3 12-packs Of regular cola, 4 12- packs of diet cola, and 2 6-packs of orange soda. How many cans did he buy?
Answer:
675 gallons of syrup
96 cans
Step-by-step explanation:
Capacity of tank = 1,000 gallons
Danielle filled 65 5-gallon cans with syrup.
Gallons filled = 65 × 5 gallons
= 325 gallons of syrup
Gallons left in the tank = 1,000 - 325 gallons of syrup
= 675 gallons of syrup
3 12-packs Of regular cola = 3 × 12 packs = 36 packs
4 12- packs of diet cola = 4 × 12 packs = 48 packs
2 6-packs of orange soda = 2 × 6 packs = 12 packs
Total cans = 36 + 48 + 12
= 96 cans
Farmer johns wants to make a circular Corral for his horses. If the diameter is to be 500 m, how many meters of fencing is needed? Round to the nearest whole number? Use 3.14 for pie.
Answer:
1570 meters
Step-by-step explanation:
The circumference of a circle is 2πr, so we would start by finding the radius. The radius is half of the diameter, so r=1/2(500)=250. We would then plug in numbers to the equation getting:
2(250)(3.14)
=500(3.14)
=1570 meters
(-2,0) is a solution of the equation 2x - 3y = 6
Is that true or false
Answer: False
Step-by-step explanation:
To see if (-2,0) is a solution to the given equation, we can plug in the point and solve. If we get the same answer, then it is a solution.
2(-2)-3(0)=6 [multiply]
-4-0=6 [subtract]
-4≠6
Now, the doesn't equal sign tells us that -4 is not equal to 6. This means the given point is not a solution to the equation, making it false.
Harvey the hamster can run 3 and 1/6 km in 1/4 of an hour. What is his average speed in kilometers per hour?
Thank you!
In decimal form, this is approximately 12.667 km per hour.
As an improper fraction, 12 & 2/3 = 38/3
==================================================
Explanation:
Let's use this formula
a & b/c = (a*c+b)/c
to convert the given mixed number to an improper fraction.
3 & 1/6 = (3*6+1)/6
3 & 1/6 = 19/6
The mixed number 3 & 1/6 is the same as the improper fraction 19/6
The hamster runs 19/6 km in 1/4 of an hour.
We can express that as the ratio
19/6 km : 1/4 hr
Multiply both parts by 4 so that the "1/4 hr" turns into "1 hr"
19/6 km : 1/4 hr
4*19/6 km : 4*1/4 hr
76/6 km : 1 hr
38/3 km : 1 hr
Harvey runs 38/3 km in 1 hour
Let's convert that to a mixed number
38/3 leads to a decimal, but 36/3 leads to a whole number
So,
38/3 = (36+2)/3
38/3 = 36/3 + 2/3
38/3 = 12 + 2/3
38/3 = 12 & 2/3
You can use your calculator to note that 38/3 = 12.667 approximately, which is also the value of 12 & 2/3, since 2/3 = 0.667 approximately. This helps confirm we did the conversion correctly.
The temperature at 9 A.M. was 42°F. The next four hours the temperature dropped 2 degrees per hour. What was the temperature at 1 P.M.?
Answer:
34
Step-by-step explanation:
2x4 = 8, 42-8 = 34
Answer:
34 degrees farenheit yeee
La casa de Mauricio está construida en un terreno de forma rectangular, el cual mide el doble de largo que de ancho. Mauricio asegura que el área del terreno es de 242 metros cuadrados. ¿cuál es la expresión algebraica correspondiente al área del terreno?
Answer:
x^2 = 121
Step-by-step explanation:
Sea el ancho del terreno x metros
Dado que la longitud es el doble del ancho, entonces la longitud será 2 * x = 2x
Matemáticamente, el área de un rectángulo es;
Anchura longitud Por lo tanto, tenemos
x * 2x = 242 metros cuadrados
Así; 2x ^ 2 = 242
x ^ 2 = 242/2
x ^ 2 = 121
What else would need to be congruent to show that ABC=DEF by AAS?
Answer: Angle A and B would need to be congruent to angle D and E. and any side like AB or side BC would need to be congruent to side DE or EF
Answer:
show the picture
Step-by-step explanation:
Angel lives 3 3 4 blocks to the east of school. Tyrone lives 7 1 4 blocks to the west of Angel. Nadeem lives 8 blocks to the east of Tyrone. Which student lives closest to school? Show your work, state which student lives closest to school and explain how you know
Answer:
3 1/2
Step-by-step explanation:
Given that:
Angel lives 3 3/4 blocks to the east of school
Tyrone lives 7 1/4 blocks to the west of Tyrone
Nadeem lives 8 blocks to the east of Tyrone.
Determining each of their homes in terms of distance from school :
Angel = 3 3/4 blocks from school
Tyrone = 7 1/4 blocks to the west of angel
Hence, distance from school will be :
7 1/4 - 3 3/4 = 3 1/2 blocks to the west of school
Nadeem = 8 blocks to the east of Tyrone :
Distance from school will be:
8 - 3 1/2 = 4 1/2 to the east of school.
Hence, 3 1/2 to the west of school is the closet distance of the three.
Hence, Tyrone lives closest to school
1) A taxi charges $1.80 plus $0.40 per mile, m. Write an equation and solve to determine the number
of miles you could ride in the taxi if you had $13.
the answer : 1.80x+0.40=$13
0.40m+1.80= 13 is the ansswer hope this helps
Find the slope of a line perpendicular to each given line.
y = -x - 1
Answer: 1
Step-by-step explanation:
Answer:
x=y-1
Step-by-step explanation:
• If 7x +5= 2x +9, then x= ?
Answer:
x=4/5
Step-by-step explanation:
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
The answer is 5 cups...
what is 3x+24+19x= what?
Answer:
is x 4.3 and would equal 98.6?
Step-by-step explanation:
1
Find the slope of the following graph and write your result in the empty box.
Answer:
Answer:
y = 2x
Step-by-step explanation:
Slope = [tex]\frac{y}{x} =\frac{2}{1}[/tex]