Final answer:
A triangle with two perpendicular sides could be scalene or isosceles if the non-perpendicular sides are unequal or equal, respectively. It cannot be equilateral because equilateral triangles have no right angles.
Explanation:
If a triangle has two sides that are perpendicular to each other, it could potentially be a scalene or isosceles triangle, but it cannot be equilateral. When two sides of a triangle are perpendicular, they form a right angle. Thus, if a triangle has a right angle, it is a right triangle by definition. According to Theorem 2, if two angles of a triangle are equal, the opposite sides are equal, and the triangle is isosceles.
In our case, this theorem would apply if the two non-perpendicular sides are of equal length, resulting in an isosceles right triangle. On the other hand, Theorem 3 states that in a triangle with unequal angles, the side opposite the greater of the angles is greater than the side opposite the smaller. Therefore, if the sides forming the right angle are of different lengths, the triangle would be scalene.
how to solve this cause I was gone for 1/2 of my class and missed stuff.
To find y, first find the measure of the third interior angle. We'll call it x.
The triangle angle sum theorem allows us to create an equation to find x. Set the interior angle values equal to 180 and solve.
180 = 28 + 30 + x
Add the constants.
180 = 58 + x
Subtract 58 from both sides.
122 = x
Now, ∠x (which we now know measures 122°) is supplementary to ∠y. Set them equal to 180 and solve for y.
180 = 122 + y
Subtract 122 from both sides.
58 = y
Answer:m∠y = 58°
PLEASE HELP ME I BEG YOU BRAINLIEST ALWAYS!!!!!
can someone please help me with this i need all the answers i can get
PLEASE PLEASE MATH HELP WILL GIVE BRAINLIEST!!!
Angle K in △MKL is a right angle.
What is the value of tan M ?
8/15
8/17
15/8
15/17
Nola studied for her math test three times yesterday. She studied for 1/4 hours in the morning, 1 3/8 house after school, and 1/2 hours before bed. How long did she study altogether?
Nola studied for a total of 2 hours and 1/8 hours. She studied for 1/4 hours in the morning, 1 3/8 hours after school, and 1/2 hours before bed.
To find out how long Nola studied altogether, we need to add up the time she studied in the morning, after school, and before bed.
Convert the mixed fractions to improper fractions:
1 3/8 hours = 8/8 + 3/8 = 11/8 hours
Step 2: Add up the time she studied:
Total study time = 1/4 hours + 11/8 hours + 1/2 hours
Find a common denominator for the fractions:
The common denominator for 4, 8, and 2 is 8.
Convert all fractions to have the common denominator:
1/4 hours = 2/8 hours
11/8 hours (already in terms of 8)
1/2 hours = 4/8 hours
Add up the fractions:
Total study time = 2/8 hours + 11/8 hours + 4/8 hours
Simplify the sum:
Total study time = (2 + 11 + 4) / 8 hours
Total study time = 17 / 8 hours
Convert the improper fraction back to a mixed fraction:
Total study time = 2 hours and 1/8 hours
So, Nola studied for 2 hours and 1/8 hours altogether.
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there is a line whose slope is 1/6 and whose y-intercept is 4. what is its equation in slope intetecept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y= x +
to find area of a triangle you can use the Expression B * h / 2 where B is the base of the triangle and H is its height what is the area of a triangle with a base of 6 and a height of 8
Mr.vitorello spends 35% of his salary on rent. he makes $2,500 each month. How much does he spend on rent each year
Mr. Vitorello spends $10,500 on rent annually, which is calculated by multiplying the monthly rent expense ($875, which is 35% of his monthly salary) by 12.
Explanation:Mr. Vitorello spends 35% of his monthly salary on rent, which is $2,500 each month. To calculate how much he spends on rent each year, we first need to determine the monthly rent expense.
Monthly rent expense = 35% of monthly salary
= 0.35 imes $2,500
= $875
Now that we have the monthly rent expense, we can calculate the annual rent expense by multiplying the monthly amount by the number of months in a year.
Annual rent expense = Monthly rent expense imes 12
= $875 imes 12
= $10,500
Therefore, Mr. Vitorello spends $10,500 on rent each year.
A system of two linear equations is shown.
5x + 2y = –4
5x + 2y = 1
Which statement is true regarding the solution to this system of linear equations?
A.The system has no solution.
B.The system has one unique solution at (5, 2).
C. The system has one unique solution at (–4, 1).
D. The system has an infinite number of solutions.
We need to find which of the given statements are true.
The system of linear equations has no solutions.
First let us find what type of solution does the system have
The equations are
[tex]5x+2y=-4[/tex]
[tex]5x+2y=1[/tex]
So,
[tex]\dfrac{a_1}{a_2}=\dfrac{5}{5}=1[/tex]
[tex]\dfrac{b_1}{b_2}=\dfrac{2}{2}=1[/tex]
[tex]\dfrac{c_1}{c_2}=\dfrac{-4}{1}=-4[/tex]
So,
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]
This means the two lines do not intersect and are parallel.
Hence, the system of linear equations has no solutions.
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Definition of classic probability
Probability is the likelihood, or chance, that a certain event will occur. The easiest way to understand probability is with coin tosses. Probability can also be applied in various fields such as medicine and stock market.
Explanation:Probability is the likelihood, or chance, that a certain event will occur. The easiest way to understand probability is with coin tosses.
When you toss a coin, the chance of a head turning up is 50 percent. This is because a coin has only two sides, so there is an equal chance of a head or tail turning up on any given toss.
Probability can also be applied in various fields. For example, doctors use probability to determine the chance of a vaccination causing the disease the vaccination is supposed to prevent.
Stockbrokers use probability to determine the rate of return on a client's investments. In statistics, we study populations and use a sample to gain information about the larger population. Data are the result of sampling from a population.
Credit card A has an APR of 20.8% and an annual fee of $60, while credit card B has an APR of 24.6% and no annual fee. All else being equal, which of these equations can be used to solve for the principal, P, the amount at which the cards offer the same deal over the course of a year? (Assume all interest is compounded monthly.) A. P•(1 + 0.208/12)12 - $60•12 = P•(1 + 0.246/12)12 B. P•(1 + 0.208/12)12 + $60•12 = P•(1 + 0.246/12)12 C. P•(1 + 0.208/12)12 - $60 = P•(1 + 0.246/12)12 D. P•(1 + 0.208/12)12 + $60 = P•(1 + 0.246/12)12
Answer:
Step-by-step explanation:
The equation P[ 1 + 0.208/12 ]¹² + $60 = P[ 1 + 0.246/12 ]¹² will be used to solve the given problem so option (D) will be correct.
What is compound interest?Compound interest is applicable when there will be a change in principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
For credit card A →
APR = 20.8%
Annual fee = $60
The total amount after 1 year will be = compound interest + annual fee
So,
P[ 1 + 0.208/12 ]¹² + $60
For credit card B →
APR = 24.6%
No annual fee
The total amount after 1 year will be = compound interest
So,
P[ 1 + 0.246/12 ]¹²
Given that all are equal
So,
P[ 1 + 0.208/12 ]¹² + $60 = P[ 1 + 0.246/12 ]¹²
Hence "The equation P[ 1 + 0.208/12 ]¹² + $60 = P[ 1 + 0.246/12 ]¹² will be used to solve the given problem".
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Kevin has 23 dimes and quarters in his piggy bank. If the value of these coins is $4.55, how many dimes and quarters does he have? Set up and solve a system of equations to solve the problem
To solve the coin problem, two equations are set up, one for the total number of coins and another for the total value in dollars. By using the elimination method, we find that Kevin has 8 dimes and 15 quarters in his piggy bank.
Explanation:To solve this problem, we assign variables to represent the number of each coin type: let 'd' be the number of dimes, and 'q' be the number of quarters.
Now, we can set up our two equations. The first equation represents the total number of coins:
d + q = 23.
The second equation derives from the total value of the coins:
0.10d + 0.25q = 4.55.
Multiplying the second equation by 100 to clear the decimals gives us;
10d + 25q = 455.
To solve the system, we can use either substitution or elimination. Here, we will use elimination.
If we multiply the first equation by 10 (giving 10d + 10q = 230), we can subtract it from the modified second equation to eliminate 'd':
(10d + 25q) - (10d + 10q) = 455 - 230, simplifying to 15q = 225.
Dividing both sides by 15 gives us q = 15, which indicates Kevin has 15 quarters.
Substituting 'q = 15' into the first equation gives us d + 15 = 23, which simplifies to d = 8.
Therefore, Kevin has 8 dimes and 15 quarters.
Please do either 1,2,3 or 4
Help I have N0 IDEA how to do this!!!!!
(07.01)Megan is picking out an outfit to wear. The organized list below represents the sample space of all possible outfits. Red shirt – Black pants Redshirt – White pants Red shirt – Blue pants Pink shirt – Black pants Pink shirt – White pants Pink shirt – Blue pants Based on the list, how many different-color pants does Megan have to choose from?
Answer: Three
Step-by-step explanation:
Given: )Megan is picking out an outfit to wear.
The given list of outfits :-
Red shirt – Black pants
Red shirt – White pants
Red shirt – Blue pants
Pink shirt – Black pants
Pink shirt – White pants
Pink shirt – Blue pants
The name of colors of pants :- Black , White , Blue
⇒ The number of different-color pants =3
Therefore, there are three different color pants from which Meghan has to choose .
Solve 8n + 2 – 6n = 9 + 2n – 13, and interpret the results.
no solutions
infinitely many solutions
only one solution, n = 2
two solutions, n = 2 or n = - 4
The equation 8n + 2 - 6n = 9 + 2n - 13 has only one solution, n = -3.
Explanation:To solve the equation 8n + 2 - 6n = 9 + 2n - 13, we need to simplify both sides and combine like terms.
Starting with the left side of the equation, 8n - 6n can be simplified to 2n. And on the right side, 9 - 13 is -4.
So, we have 2n + 2 = -4. We can now subtract 2 from both sides to isolate the variable n. This gives us 2n = -6. To solve for n, divide both sides of the equation by 2: n = -3.
Therefore, the equation 8n + 2 - 6n = 9 + 2n - 13 has only one solution, n = -3.
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The surface area of a prism is Square units all measurements in the image below input whole number only
A hair company makes three batches of scented shampoo using the recipe shown. Each batch contains a different total amount of shampoo. 1/2 is pineapple, 1/5 is banana, 3/10 is coconut.
Batch 1:
Pineapple
Banana
Coconut is 2 1/10
Batch 2:
Pineapple
Banana is 3 1/5
Coconut
Batch 3:
Pineapple is 2 1/2
Banana
Coconut
Answer:
Batch 1: Pineapple = 3 1/2; Banana = 1 2/5
Batch 2: Pineapple = 8; Coconut = 4 4/5
Batch 3: Banana = 1; Coconut = 1 1/2
Step-by-step explanation:
For Batch 1:
We know that coconut is 3/10 of the mixture, and we have 2 1/10 coconut:
3/10x = 2 1/10
Converting 2 1/10 to an improper fraction, we have
3/10x = 21/10
Divide both sides by 3/10:
3/10x ÷ 3/10 = 21/10 ÷ 3/10
To divide fractions, flip the second one and multiply:
x = 21/10 × 10/3 = 210/30 = 7
This means we have 7 total of the mixture.
1/2 of this is pineapple: 1/2(7) = 7/2 = 3 1/2
1/5 is banana: 1/5(7) = 7/5 = 1 2/5
For Batch 2:
1/5 of the total is banana; we have 3 1/5 banana:
1/5x = 3 1/5
Convert the second fraction to an improper fraction:
1/5x = 16/5
Divide both sides by 1/5:
1/5x÷1/5 = 16/5÷1/5
Flip the second fraction and multiply:
x = 16/5×5/1 = 80/5 = 16
We have 16 of the total shampoo.
Pineapple is 1/2 of this:
1/2(16) = 8
Coconut is 3/10 of the total:
3/10(16) = 48/10 = 4 8/10 = 4 4/5
For Batch 3:
Pineapple is 1/2 of the total. We have 2 1/2 pineapple:
1/2x = 2 1/2
Convert the fraction on the right to improper:
1/2x = 5/2
Divide both sides by 1/2:
1/2x÷1/2 = 5/2÷1/2
Flip the second fraction and multiply:
x = 5/2×2/1 = 10/2 = 5
We have 5 total shampoo.
Banana is 1/5 of this:
1/5(5) = 1
Coconut is 3/10 of this:
3/10(5) = 15/10 = 1 5/10 = 1 1/2
The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year. Which function equation represents the population of the city after t years?
Answer:
This was the correct answer, I even provided proof from my own test. Hope this helps!
Step-by-step explanation:
Can someone help mesolve this equation?: 5x +2 = 62
Thanks!
a line with a slope of 1/8 passes through the points (u, -9) and (6, -8). what is the value of u?
A total of 1,023 hippies and anglefish were in a big tank. The number of guppies were 9/11 the total number of fish in the tank. However, some angers fish were sold out,and the number of hippies beacons 27/31 the total number of fish. How many angelfish were sold ?
what is the answer to 2/3(5x+6)=34
The area of rectangle A is 11/12 square meters.The area of rectangle B is 8/12 square meters.How much larger is rectangle A?
The gray area is the sidewalk. The area of the sidewalk is ___________ square units.
A) 48
B) 56
C) 72
D) 84
Answer: 72
Step-by-step explanation: i did it a got it right
what is equivalent to ^3√8^x
The unit rate in kilometers per minute for 18.25km in 1 h 45 minute
Draw Three triangles One equilateral one isosceles and one scalene label Each and explain how you classified each triangle
nicks telephone company charges 0.05 per min for weekend calls and $0.09 per minute for calls made on weekdays this month Nick was bailed 622 minutes these charges were 45.94 how many minutes did he talk on weekends and how many minutes did he talk on weekdays
relay race. To start, you must run 20 yards to Checkpoint A. You then must turn and run 12 yards to Checkpoint B. Last, you must turn and run back to the starting line. What is the distance from Checkpoint B to the starting line?
The distance from checkpoint B to the starting line for the given right-angle triangle will be 16 yards.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
As per the given right angle triangle,
Suppose the missing length is x.
By Pythagoras' theorem,
x = √(20² - 12²)
x = √(400 - 144) = √256 = 16
Hence "The distance from checkpoint B to the starting line for the given right-angle triangle will be 16 yards".
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