In an isosceles triangle with an angle measuring 80°, the other two angles could be 50° each.
An isosceles triangle has two sides of equal length and two angles of equal measure. Since one angle measures 80°, the other two angles must be equal to each other. To find the measure of these angles, we subtract 80° from 180° (the sum of all angles in a triangle) and divide the result by 2. So, each of the other two angles in the isosceles triangle could be 50°.
Learn more about Angles in triangles here:https://brainly.com/question/38452860
#SPJ11
The other angles that could be in the isosceles triangle are:[tex]\[\boxed{50^\circ \text{ and } 20^\circ}\][/tex]
In an isosceles triangle, two sides are of equal length, and the angles opposite those sides are equal. The sum of the angles in any triangle is always [tex]\(180^\circ\).[/tex] Given that one angle measures [tex]\(80^\circ\)[/tex], we need to determine the possible configurations for the remaining angles.
Case 1: 80° is the vertex angle
If the [tex]\(80^\circ\)[/tex] angle is the vertex angle (the angle between the two equal sides), the remaining two angles must be equal. Let x be the measure of each of the remaining angles.
Since the sum of the angles in a triangle is [tex]\(180^\circ\):[/tex]
[tex]\[80^\circ + x + x = 180^\circ\]\[80^\circ + 2x = 180^\circ\][/tex]
[tex]\[2x = 100^\circ\][/tex]
[tex]\[x = 50^\circ\][/tex]
So, the other angles in this case are [tex]\(50^\circ\)[/tex] each.
Case 2: 80° is one of the base angles
If the [tex]\(80^\circ\)[/tex] angle is one of the base angles (the angles opposite the equal sides), there will be two such angles. Let y be the measure of the vertex angle.
Since the sum of the angles in a triangle is [tex]\(180^\circ\):[/tex]
[tex]\[80^\circ + 80^\circ + y = 180^\circ\]\[160^\circ + y = 180^\circ\][/tex]
[tex]\[y = 20^\circ\][/tex]
So, the other angles in this case are [tex]\(80^\circ\) and \(20^\circ\).[/tex]
Possible angles
Given that one angle is [tex]\(80^\circ\),[/tex] the possible configurations for the angles in the isosceles triangle are:
- [tex]\(80^\circ, 50^\circ, 50^\circ\)[/tex]
- [tex]\(80^\circ, 80^\circ, 20^\circ\)[/tex]
So, the other angles that could be in the isosceles triangle are:
[tex]\[\boxed{50^\circ \text{ and } 20^\circ}\][/tex]
These are the angles that apply based on the given conditions.
x=18
x=22.5
x=30
x=54
Since (x+90) and 4x are vertical angles, and vertical angles are congruent, you can set them equal to each other.
x+90=4x
90=3x
x=30
Answer:
The value of [tex]x[/tex] is 30°Step-by-step explanation:
Observe that (x + 90)° and 4x° are verticle angles.
By definition, those angles are equal, taht is
[tex]x+90=4x[/tex]
Then, we solve for [tex]x[/tex]
[tex]90=4x-x\\3x=90\\x=\frac{90}{3}\\ x=30\°[/tex]
Therefore, the value of [tex]x[/tex] is 30°. The third choice is correct.
the coordinates of point T are (0,4). the midpoint of ST is (7,-5). find the coordinates of point S
The formula of a midpoint:
[tex]M_{ST}\left(\dfrac{x_S+x_T}{2},\ \dfrac{y_S+y_T}{2}\right)[/tex]
We have:
[tex]T(0,\ 4)\to x_T+0,\ y_T=4\\M(7,\ -5)\to x_M=7,\ y_M=-5[/tex]
Substitute:
[tex]\dfrac{x_S+0}{2}=7\qquad|\cdot2\\\\x_S=14\\\\\dfrac{y_S+4}{2}=-5\qquad|\cdot2\\\\y_S+4=-10\qquad|-4\\\\y_S=-14[/tex]
Answer: S(14, -14).Dalia is a botanist. She wants to model the growth rate of the patch of ground that is covered by a certain plant as time passes. What would be an appropriate unit for Dalia's purpose?
Answer:
The appropriate measure is cm/day.
Step-by-step explanation:
The best unit to measure the height of a plant = cm.
The best measure for time is day.
Rate refers to the ratio between units. Mostly, the difference in some unit when time passes.
She can measure the height of the plant in each day.
Hence, the appropriate unit for Dalla is cm per day.
Answer:
We have to find the growth rate of certain Patch of ground, which is covered by certain plant.
As, the branches of Herb patch plant can't grow more than 150 cm.
The difference in height can't be calculated on daily basis.It should be calculated either in a duration of three to four days ,or in a week.
Now, if you look branches of plant it occupies some space,that is area it's unit should be either Square cm or Square meter.
So, the appropriate unit to measure the growth rate will be
[tex]1.\frac{cm^2}{\text{3 or 4 day}}\\\\ 2.\frac{cm^2}{\text{1 Week}}[/tex]
or
[tex]1.\frac{m^2}{\text{3 or 4 day}}\\\\ 2.\frac{m^2}{\text{1 Week}}[/tex]
Which of the following functions are written using function notation? g(x) = 5x + 2 y = 1 x h = x2 r(x) = x f/x = x5 - 3 b(x) = 1 2 x3 p/x = -7x k(x) = - 3 x + 1 y = mx + b fx = -x3 + 4
We are given : g(x) = 5x + 2.
y = 1 x
h = x^2
r(x) = x
f/x = x^5 - 3
b(x) = 1/2 x^3
p/x = -7x
k(x) = - 3 x + 1
y = mx + b
fx = -x^3 + 4
Note: Function is written in the from of f(x) and read as function f of x.
There could be any letter used for function, like h(x), g(x), k(x).
Therefore, in the given options the following are in function notations only:
g(x) = 5x + 2.
r(x) = x
b(x) = 1/2 x^3
k(x) = - 3 x + 1.
Answer:
g(x) = 5x + 2.
r(x) = x
b(x) = 1/2 x^3
k(x) = - 3 x + 1.
Step-by-step explanation:
Which relation is a function?
The relation that is a function is that represented in the fourth graph. y = 2IxI
You must know that for a relation to be a function, there can not be two different values of f (x) for the same value of x.
In other words, if we have two sets P and M.
A function "f" between them is a relation that assigns to each value of the set P a single value of the set M.
To quickly verify when observing a graph it draws vertical lines and if they cut the graph in two points then the relation is not a function because it assigns two different values of f (x) for the same value of x.
By doing this test you will verify that only the fourth image represents the graph of a function.
Hi I was wondering which one is the correct answer
Answer: A) yes the graph passes the vertical line test
What is the vertical line test? It's a test to see if we have a function. Here's how the test works: if you can draw a single line that passes through more than one point on the function curve, then the graph fails the vertical line test. If it fails the test, then the relation is not a function.
In this case, it is impossible to draw a single line that goes through more than one point on the orange curve. So this curve passes the test. Therefore, the curve represents a function. Any input (x) leads to exactly one output (y).
Solve for Y. 9/4y-12=1/4y-4
[tex]y=4[/tex]
Equations:A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.Finding the values of the variables that result in equality is the first step in solving an equation with variables.Solution -Given - [tex]\frac{9}{4y} -12=\frac{1}{4y} -4[/tex]
To find - [tex]y=?[/tex]
Since,
[tex]\frac{9}{4y} -12=\frac{1}{4y} -4\\\frac{9}{4y} =\frac{1}{4y} +8\\\frac{8}{4y} =8\\2y=8\\y=\frac{8}{2} \\y=4[/tex]
Therefore, [tex]y=4[/tex].
Know more about the equations here:
https://brainly.com/question/2972832
#SPJ2
which of the following is the graph of an arithmetic sequence whose first term is 2 and common difference is 0.5
Solution
The general form of the n-th term = a + (n-1)d
An = 2 +(n-1)0.5
An = 2 + 0.5n - 0.5
An = 0.5n +1.5
Here the slope is 0.5 and y-intercept is 1.5
Therefore, the line start from y = 1.5 rises 0.5 level because the slope is 0.5
Now look at the graph.
The graph D start from 1.5 and moves at the rate of 0.5
The answer is Graph D.
what are 2 ways of solving this proportion? 4/5 = 28/x
The first way is to cross multiply
4/5 = 28/x
4x = 5*28
4x = 140
4x/4 = 140/4
x = 35 which is the answer
=============================================
The second method is to note the denominators 4 and 28, and to ask yourself "what times 4 gets me 28?". The answer being 7, so 7*4 = 28. If you multiply top and bottom of the fraction 4/5 by 7, then you end up with 7*4 = 28 up top and 7*5 = 35 down below. This is another way of seeing how 4/5 = 28/35
Either way, the answer is x = 35
persons who use drugs relatively infrequently and define drug use as pleasurable are called
i believe the answer would be - recreational drug user.
hope this helps you out!
Recreational drug users engage in occasional, pleasurable drug use for leisure or social purposes. While they may not show signs of dependency, awareness of potential risks is essential. Responsible use and moderation are key.
Individuals who use drugs relatively infrequently and define drug use as pleasurable are often referred to as recreational or occasional drug users. These individuals typically use substances like alcohol, cannabis, or other recreational drugs on a sporadic basis, and they may not exhibit signs of dependency or addiction.
For them, drug use is a choice made for leisure or social purposes, rather than a habitual or compulsive behavior. Recreational drug users tend to consume substances in social settings, during special occasions, or for specific experiences such as relaxation or enhancing social interactions.
It is important to note that while these individuals may not display the same level of risk associated with frequent or heavy drug use, they should still be aware of potential health and safety risks associated with any form of drug consumption. Responsible use, moderation, and informed decision-making are crucial aspects of recreational drug use.
To learn more about drug
https://brainly.com/question/30392650
#SPJ3
Which best describes the roots of the function h(x) = x3 – 4x2 – 3x + 18? no real number solutions 1 real number solution 2 real number solutions 3 real number solutions
Answer:
C on Edge
2 real number solutions
Step-by-step explanation:
the correct answer is that the function h(x) = x³ – 4x² – 3x + 18 has 1 real number solution.
The function h(x) = x³ – 4x² – 3x + 18 is a polynomial function of degree 3. To find the number of real solutions, we can analyze its graph or use the fundamental theorem of algebra.
The fundamental theorem of algebra states that a polynomial of degree n has exactly n complex roots. In this case, since it's a degree 3 polynomial, it can have at most 3 real roots, with the possibility of having some as complex solutions.
Therefore, the correct answer is that the function h(x) = x³ – 4x² – 3x + 18 has 1 real number solution.
70%, 2/3, 0.62, 13/20, 0.6 smallest too largest
70% = 0.7
3/4 = 0.75
0.6 = 0.6
2/3 = 0.667
In order from smallest to greatest:
0.6, 0.667, 0.7, 0.75 =
0.6, 2/3, 70%, 3/4
Therefore the smallest is 0.6
A homeowner wants fence her rectangular backyard. The yard is 75ft by 90ft. If fencing costs $6 per foot how much will it cost to fence the yard?
The total cost to fence a 75ft by 90ft backyard at $6 per foot is $1980. This is found by first calculating the perimeter of the yard and then multiplying this by the cost per foot.
Explanation:To calculate the total cost of fencing the rectangular yard, we must first work out the perimeter of the yard. The perimeter of a rectangle can be found using the formula 2(length + width). In this case, the length is 75ft and the width is 90ft.
So, the perimeter is 2(75ft + 90ft) = 2(165ft) = 330ft.
Then, to find the total cost, we multiply the perimeter by the cost per foot. That is:
Total Cost = Perimeter x Cost Per Foot.
Therefore, the Total Cost = 330ft x $6/foot = $1980.
So, it would cost $1980 to fence the backyard.
Learn more about Perimeter Calculations here:https://brainly.com/question/34472601
#SPJ2
erica can run 1/6 of a kilometer in a minute her school is 3/4 of a kilometer away from her home at this speed how long would it take erica to run home from school
Answer: 4.5 minutes.
Step-by-step explanation:
1. You have the following information given in the problem above:
- Erica runs [tex]\frac{1}{6}km[/tex] in a minute.
- The school is [tex]\frac{3}{4}km[/tex] away from her home.
2. Therefore, to solve the exercise you must multiply [tex]\frac{3}{4}km=0.75km[/tex] by 1 minute and divide this by [tex]\frac{1}{6}km=0.166km[/tex], as following:
[tex]x=\frac{(0.75km)(1min)}{(0.166km)}\\x=4.5min[/tex]
3. Therefore, the result is 4.5 minutes.
Answer:
4.5
Step-by-step explanation:
Cindy's Smoothie Shop sells blueberry smoothies for $5 and mango smoothies for $4. Today, Cindy sold four more mango smoothies than blueberry smoothies and made $52. How many MANGO smoothies did CIndy sell today?
Cindy sold 8 mango smoothies today. This was determined by solving a system of linear equations that was created based on the information provided in the problem.
Explanation:This problem is a classic example of a system of linear equations. Let's denote the number of blueberry smoothies as x and the number of mango smoothies as y. From the problem, we know that the price of a blueberry smoothie is $5 and the price of a mango smoothie is $4. Therefore, we have our first equation: 5x + 4y = 52. Cindy also sold four more mango smoothies than blueberry ones, which gives us the second equation y = x + 4.
Now, we need to solve this system of equations. Let's substitute y from the second equation into the first, and solve for x: 5x + 4(x + 4) = 52. This gives x = 4 (number of blueberry smoothies), so y = x + 4 = 8 (number of mango smoothies).
So, Cindy sold 8 mango smoothies today.
Learn more about System of Linear Equations here:https://brainly.com/question/27063359
#SPJ3
x-7>10 is x> Fill in the blank and show your work?
Write the slope-intercept form of the equation for the line.
Write the slope-intercept form of the equation for the line.
The slope intercept form of the line is ,
> y = mx + c
where
m is slope c is y intercept .For example :-
> y = 3x + 4
The line passes through (0,3) and has a slope of 4 .3.Mike and Beth are saving money to go to Disneyworld. They need at least $1975 in order to go. Mike mows yards and Beth will wash cars to raise money. Mike charges $25 each time he mows a yard and Beth charges $15 for each car she washes. The number of cars that Beth wash is no more than four times the number of lawns Mike has scheduled to mow. Beth will wash at least 50 cars. Write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked. Answer:
Answer:
[tex]25x+15y\geq 1975\\y\leq 4x\\y\geq 50\\x\geq 0[/tex]
Step-by-step explanation:
Let x represents the number of lawns mowed by Mike and y represents the number of cars washed by Beth.
Then, the amount earned by Mike if he charges $25 for moving the lawn[tex]=25x[/tex]
And the amount earned by Beth if she charges $15 for moving the lawn[tex]=15x[/tex]
Then, as need at least $1975 in order to go Disneyworld.
So, first inequality is,
[tex]25x+15y\geq 1975[/tex]
Now, it is given that the number of cars that Beth wash is no more than four times the number of lawns Mike has scheduled to mow. So, this gives the inequality,
[tex]y\leq 4x[/tex]
Next, it is given that Beth will wash at least 50 cars. So,
[tex]y\geq 50[/tex]
Lastly, as the number of lawns mowed can't be negative, so
[tex]x\geq 0[/tex]
Explain how to distinguish between rational and irrational numbers
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1 where as an irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.
Answer:
Rational Number is defined as the number which can be written in a ratio of two integers. An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero.
Step-by-step explanation:
PLEASE HELP!!! I attached a snip of my question
Answer:
The answer is
Step-by-step explanation:
In the attachment!
Solve for x. −23(3x−4)+3x=56 who ever solves right first gets brinlyest
Step 1: Simplify both sides of the equation.
−23(3x−4)+3x=56
(−23)(3x)+(−23)(−4)+3x=56(Distribute)
−69x+92+3x=56
(−69x+3x)+(92)=56(Combine Like Terms)
−66x+92=56
−66x+92=56
Step 2: Subtract 92 from both sides.
−66x+92−92=56−92
−66x=−36
Step 3: Divide both sides by -66.
−66x /-66= -36/-66
x= 6/11
Final answer:
To solve the equation -23(3x-4)+3x=56, distribute the -23, combine like terms, and solve for x, resulting in x=6/11 or approximately 0.5455.
Explanation:
To solve the equation −23(3x−4)+3x=56, we need to distribute the -23 inside the parentheses and then combine like terms.
First, distribute:
(-23)(3x) + (-23)(-4) + 3x = 56-69x + 92 + 3x = 56Then, combine like terms:
-66x + 92 = 56-66x = 56 - 92-66x = -36Finally, divide both sides by -66 to solve for x:
x = -36 / -66x = 36/66x = 6/11 or approximately 0.5455The solution is x = 6/11. It is important to note that we cannot verify this solution with the information provided about identities or other equations because they do not pertain directly to this problem. To check our result, substituting x back into the original equation should yield a true statement.
rewrite the expression using addition -17.9 - 4.2
You can say -17.9+(-4.2)
i will give Brainiest
The graph of the function f(x) = –(x + 3)(x – 1) is shown below. What is true about the domain and range of the function?
A.The domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1.
B.The domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4.
C.The domain is all real numbers, and the range is all real numbers less than or equal to 4.
D.The domain is all real numbers less than or equal to 4, and the range is all real numbers
The domain is all real numbers
The range is y<= 4
Choice C
Answer:
The correct option is C. The domain is all real numbers, and the range is all real numbers less than or equal to 4
Step-by-step explanation:
The function is given to be :
f(x) = -(x + 3)(x - 1)
Domain : It is defined as a set of all points for which the function is real and defined.
Now, The given function f(x) is a polynomial function and is real and defined for all the real numbers. So, The domain of the given function f(x) is given by :
Domain : All real numbers
Range : It is defined as a set of all values of dependent variable for which the function is defined.
Now, To find range of the given function :
As seen from the graph, the maximum value of the function is at (-1,4)
So, The range consists of all the values less than or equal to 4
⇒ Range : All real numbers less than or equal to 4
Thus, The correct option is C. The domain is all real numbers, and the range is all real numbers less than or equal to 4
When four gallson are added to a tank that is one-third full, the tank is then one-half full. What is the capacity of the tank in gallons?
Answer:
24 gallons
Step-by-step explanation:
To answer this question let's call "a" the capacity of the tank in gallons.
Initially it is one third of its capacity, but when 4 gallons are added, it is half full.
This statement can be written as an equation in the following way:
[tex]\frac{1}{3}a+4=\frac{1}{2}a\\[/tex] (1)
This equation represents the given conditions, therefore solving it we can clear "a" the capacity of the tank in gallons
Solving the equation we have:
[tex]\frac{1}{3}a-\frac{1}{2}a =-4\\a (\frac{1}{3}-\frac{1}{2}) = -4\\a (-\frac{1}{6}) = -4\\a (\frac{1}{6}) = 4\\a = 24\\[/tex]
Therefore the capacity of the tank is 24 gallons.
We can check this result by verifying if it meets the given conditions. The half of 24 is 12. Therefore, if we divide 24 at 3 and then add 4, we should get half the capacity of the tank, that is, 12 gallons.
[tex]\frac{24}{3} = 8\\8 + 4 = 12[/tex]
12 is half the capacity of the tank, then equation (1) is met and the result is checked
keith rented a truck for one day. There was a base fee of $15.95, there was an additional charge of 94 cents for each mile driven . keith had to pay $159.77 when he rented his truck. for how many miles did he drive the truck
Hey there!!
The base fee was $15.95 and an extra of $94 cents, 94 cents can be written as $0.94. The number of miles can be denoted as 'm' as the number of miles can vary and it is a variable.
The total cost would be = The base price + The cost for number of miles driven.
The total cost = $15.95 + $0.94 × ( the number of miles driven ).
∴ The number of miles is driven as 'm'.
The total cost = $15.95 + 0.94m
The total cost is given $159.77
Hence,
... $15.95 + $0.94m = $159.77
Subtract 15.95 on both sides :
... 0.94m = $159.77 - $15.95
... 0.94m = 143.82
Dividing by 0.94 on both sides :
... m = 143.82 / 0.94
... m = 153
Hence, the number of miles driven is 153 miles.
Hope my answer helps!!
To solve this, we subtract the base fee from the total fee to find the total cost for the miles driven. Then, we divide this by the price per mile to find the number of miles driven. Keith drove approximately 153 miles.
Explanation:This is a problem of linear equations, which is a part of Mathematics. Here we are working with the cost of a rented service. In this case, Keith has to pay both a base fee and a fee per mile driven in the truck.
The total fee Keith paid for the rental is the combination of the base fee and the fee for the miles driven. Given that the base fee is $15.95 and the total fee is $159.77, we first need to subtract the base fee from the total fee, which gives us $159.77 - $15.95 = $143.82. This amount is the total fee for miles driven.
As each mile costs him $0.94, we can find out how many miles Keith drove by dividing the cost of miles driven by the price per mile. So, Keith drove $143.82 ÷ $0.94 = approximately 153 miles.
Learn more about Linear Equations here:https://brainly.com/question/32634451
#SPJ3
what is the area of the square
Answer:
36 M
Step-by-step explanation:
For a square, you can multiply the given side length by 4 to get the area.
Daniel brought 2.75 pounds of Spanish fried rice to a family dinner. During the meal, Daniel and his family ate 1.25 pounds of rice. At the end, Daniel's friend took home half of the rice that was left after dinnerDaniel brought 2.75 pounds of Spanish fried rice to a family dinner. During the meal, Daniel and his family ate 1.25 pounds of rice. At the end, Daniel's friend took home half of the rice that was left after dinner
Daniel's friend took .75 pounds of rice home
Daniel had 2.75 pounds of rice, and 1.25 pounds were eaten during the dinner. The remainder, 1.5 pounds, was divided, and his friend took home 0.75 pounds of the Spanish fried rice.
The question asks us to calculate the amount of Spanish fried rice left after a family dinner and how much was taken by Daniel's friend. To find out the remaining weight of rice after the meal, we subtract the amount of rice eaten from the original weight. Then, to find how much rice Daniel's friend took home, we divide the remaining rice by two.
Daniel started with 2.75 pounds of rice.His family ate 1.25 pounds of rice during the meal.To find the amount of rice left, we subtract 1.25 from 2.75 which gives us 1.5 pounds.Daniel's friend took half of the remaining rice, so we divide 1.5 by 2, which results in 0.75 pounds.Therefore, Daniel's friend took home 0.75 pounds of the Spanish fried rice.
What is the value of 5 in 756? Write and draw to explain how you know
The 5 in 756 is in the tens place meaning that it equals to 50. That would mean that it is 5 groups of 10
How many zeros will the product of 700 and 300 have?
The answer would be 4.
700 x 300 = 210,000
First multiply 700 and 300
700 x 300= 210000
Now count the zeros in the number.
So the product of 700 and 300 have 4 zeroes.
Another way to do this is just count the zeroes under 700 and 300.
When you multiply any two numbers that have zeroes the zeroes will practically add together.
For example. 10 x 10 =100, they had one zero and the total has 2 zeroes.
Or 30 x 40=1200 they had one zero and the total has 2 zeroes.
The complement of an angle is 53 what is the measure of the angle
angle = 37°
complementary angles have a sum of 90°
the angle whose complement is 53° = 90° - 53° = 37°