The triangles of the dimensions are not similar by any property of similarity. Thus option D is correct.
Concept of similarity : Two triangles can be similar by AAA, SAS, SSS property .
Given,
Two triangles with different side lengths.
Here,
The two triangles are similar if they have same shape , but can be of different sizes and corresponding sides are of same proportions.
Here,
Triangles are of same shape but the corresponding sides are not in same proportions.
∴ 8/5 = 10/6.25 ≠ 12/7
Therefore the two triangles are not similar.
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Ashley can text 60 words in 45 seconds. At this rate, how many words can she text in 60 seconds?
Let Ashley can text x words in 60 minutes. Then equation for x is,
\(\begin{gathered} \frac{60}{45}=\frac{x}{60} \\ x=\frac{60\cdot60}{45} \\ =80 \end{gathered}\)Thus, Ashley text 80 words in 60 seconds.
the isosceles trapezoid ABCDE is part of an isosceles triangle ACE. What is true about isosceles triangles?
The measure of the vertex angle of ΔACE is: D. 50°.
The two side lengths of all isosceles triangles are the same and the angles facing these side lengths are congruent.
What is an isosceles triangle?In Mathematics and Geometry, an isosceles triangle simply refers to a type of triangle with two (2) sides that are equal in length and two (2) equal angles.
Since the isosceles trapezoid ABCDE belongs to isosceles triangle ACE, we can reasonably infer and logically deduce that the measure of angle BDE (∠BDE) is equal to 115 degrees.
∠BDE + ∠BDC = 180° (sum of angles on a straight line).
115° + ∠BDC = 180°
∠BDC = 180° - 115°
∠BDC = 65°
Based on isosceles triangle ACE, we can logically deduce the following congruent angles;
∠BDC ≅ ∠CBD = 65°
Now, we can determine the measure of the vertex angle of ΔACE:
∠BDC + ∠CBD + ∠ACE = 180°
∠ACE = 180° - (∠BDC + ∠CBD)°
∠ACE = 180° - (65 + 65)°
∠ACE = 180° - 130°
∠ACE = 50°.
In conclusion, the two side lengths of all isosceles triangles are typically the same (equal) and the angles facing these side lengths are congruent.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
HELPPPPPPPPPPPPPP
Solve for x and y
Answer:
x = 0, y = -1
Step-by-step explanation:
10x = 5y + 5
y = 2x - 1
======================
10x = 5(2x - 1) + 5
10x = 10x - 5 + 5
x = 0
======================
y = 2x - 1
y = -1
Which point is the graph of the ordered pair (2, -4)?
point A
point B
point C
point D
Answer:
Point B
Step-by-step explanation:
In a pair representation of a point first element refers to X axis and the second refers to Y axis.
1. find x = 2 on X axis (horizontal axis)
2. draw a vertical line passing x = 2
3. find y = -4 on Y axis (vertical axis)
4. draw a horizontal line passing y = -4
5. Where the 2 drawn lines are cross is the answer
Hey your answer would be "Point B"
Which shows the correct solution of the equation 1/2 a + 2/3 b, when ? b=30
Answer:
The answer is 1/2a + 20
Step-by-step explanation:
Given;1/2a + 2/3bb = 30Now, Substitute value of b
1/2a + 2/3b
1/2a + 2/3(30)
1/2a + 2 × 10
1/2a + 20 = a/2 + 20 = (a + 40) ÷ 2
Thus, The answer is 1/2a + 20
-TheUnknownScientist 72
i need help and the teacher isnt good at explaining
We are given the following equation
\(y=mx+b\)We are also given the following values
\(\begin{gathered} y=5 \\ m=\frac{1}{2} \\ x=4 \end{gathered}\)Let us substitute these values into the given equation and solve for b
\(\begin{gathered} y=mx+b \\ 5=\frac{1}{2}\cdot4+b \\ 5=\frac{4}{2}+b \\ 5=2+b \\ 5-2=b \\ 3=b \\ b=3 \end{gathered}\)Therefore, the value of b is 3
find the sum
-84 + (-11)
Answer:
-84+(-11)= -95
-84 + (-11) = -84 - 11 = -95
By the commutative property, adding a negative number is the same as subtracting that number as a positive; therefore, something + (-11) = something - 11. After changing the equation from -84 + (-11) to -84 - 11, we use regular addition properties, adding the tens place and ones place to get -95.
HELPPP ASAPPPP PLEASEEE
Answer:
with the years labeled on the horizontal axis and the number of hours labeled on the vertical axis. The graph shows that the number of hours spent watching TV declined steadily over the 5-year period, starting at around 1750 hours in Year 1 and falling to around 1300 hours in Year 5. The graph also shows a clear, downward-sloping trend from Year 1 to Year 5.
Step-by-step explanation:
What is 841,487 rounded to the nearest ten thousand?
Answer:
840,000
Step-by-step explanation:
841,487 sice the ten thousands place is under the number five you round down to 840,000
pls help me find the awnser
Answer:
I have no clue thats why is got this app
Answer:
57 units³
Step-by-step explanation:
Volume = length • width • height
Fill in the numbers:
V = 3 4/5 • 2 1/2 • 6
I am making them into improper fractions to make it easier:
V = 19/5 • 5/2 • 6
Multiplying the length and the width:
V = 95/10 • 6
Multiplying the height in:
V = 57
The graph shows the level of ibuprofen, y units, in a patient’s bloodstream x hours after the ibuprofen was taken. Select the correct answer to complete the blanks in the sentence: "The level of ibuprofen in the patient's bloodstream increased from _____ hours to _____ hours."
The graph is missing, so i have attached it.
Answer:
From 0 hours to 2 hours.
Step-by-step explanation:
From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.
Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.
After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.
Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.
In a class of 100 half the students are science majors and half are liberal art majors. A student who is a science major has a 0:9 probability of passing a given test whilst a student who is liberal art major has only a probability of 0:7. We pick 2 students at random without replacement and give them the test. What is the probability that both students pass the exam
Answer:
P(both students passed the exam) = 0.61948
Step-by-step explanation:
From the given information:
P(both students passed the exam) = P(both are science students or both are art major students or one is from each group)
= P (both are science students) + P(both are art students) + P(one from each group)
where;
P (both are science students) = (50/100) (0.9) × (44/99) × (0.9) = 0.18
P(both students are art) = (50/100) (0.7) × (49/99) 0.7 = 0.1213
P(one of the student are from each group) = (50/100) (0.9) ×(50/99) (0.7) + (50/100) (0.7)× (50/99)(0.9) =0.3182
P(both students passed the exam) = 0.18 + 0.1213 + 0.3182
P(both students passed the exam) = 0.61948
Suppose that you borrow $3000.00 from a friend and promise to pay back $4935.00 in 3 years. What simple interest rate will you pay? The simple interest rate is % (Round to the nearest tenth as needed.)
Answer:
the simple interest rate is 18.00%
Step-by-step explanation:
The computation of the simple interest rate is shown below:
Amount = Principal × (1 + rate)^years
$4,935 = $3,000 × (1 + rate)^3
After solving it, the rate of percentage is 18.00%
Hence, the simple interest rate is 18.00%
In his collection, Marco has 7 large gold coins, 10 large silver coins, 12 small gold
coins, and 3 small silver coins. If he randomly picks a coin, what is the probability
that it is gold, given that the coin is small?
The Probability that the randomly chosen coin is gold, given that it is small, is 4/5 or 0.8 when expressed as a decimal.
To find the probability that the randomly chosen coin is gold, given that it is small, we need to determine the number of small gold coins and the total number of small coins.
From the given information, Marco has 12 small gold coins and 3 small silver coins, making a total of 12 + 3 = 15 small coins.
The probability that the coin is gold, given that it is small, can be calculated as the ratio of the number of small gold coins to the total number of small coins:
P(Gold|Small) = Number of Small Gold Coins / Total Number of Small Coins
P(Gold|Small) = 12 / 15
Simplifying the fraction, we have:
P(Gold|Small) = 4 / 5
Therefore, the probability that the randomly chosen coin is gold, given that it is small, is 4/5 or 0.8 when expressed as a decimal.
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please help!! find the inverse of image attached :)
The correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."
What is inverse?More precisely, if f is a function that maps elements from a set A to elements in a set B, then the inverse function of f, denoted as f^(-1), is a function that maps elements in set B back to elements in set A.
According to question:The given statement is: "If x equals 3, then 2b + 5 equals 11."
To find the inverse, we negate both the hypothesis and the conclusion of the statement and switch their order:Inverse: If x does not equal 3, then 2b + 5 does not equal 11.Therefore, the correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."
The inverse function f^(-1) is defined such that f(f^(-1)(x)) = x for all x in B, and f^(-1)(f(x)) = x for all x in A. In other words, applying the inverse function to the output of the original function returns the input value.
The existence of an inverse function depends on the properties of the original function. For example, a function must be one-to-one (or injective) to have an inverse function, which means that each input maps to a unique output. If a function is not one-to-one, then its inverse function may not exist or may have limited domain and range.
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Nathan took his car in for service and repairs. He had a coupon for 15% off.
Original Prices
• Labor $266.63
• Parts $317.29
• Other $62.78
Which amount is closest to Nathan's total costs after the 15% discount and including 6% sales tax? [Assume tax is applied after the discount is applied.]
Answer:
Total cost after discount and tax is $582.68---------------------------------
Add up the prices266.63 + 317.29 + 62.78 = 646.70Apply 15% discount646.70 - 15% = 646.70*0.85 = 549.70Add 6% tax549.70 + 6% = 549.70*1.06 = 582.68Answer:
$582.68
Step-by-step explanation:
Total amount will be,
→ $266.63 + $317.29 + $62.78
→ 266.63 + 380.07
→ $646.7
Then the final price will be,
→ ($646.7 - 15%) + 6%
→ (646.7 - (646.7/100) × 15) + 6%
→ (646.7 - 97.005) + 6%
→ 549.695 + (549.695/100) × 6
→ 549.695 + 32.9817
→ 582.6767
→ $582.68
Hence, the answer is $582.68.
Match each equation with an equivalent equation. Some of the answer choices are not used.
3x+5=4x+8
3(x+5)=4x+8
3x+4x=8-5
The equivalent equations in the given choices are : 3x+5=4x+8 and 3x+4x=8-5.
What are equivalent equations?
Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value.
The equations that are equivalent are :
3x+5=4x+8 and 3x+4x=8-5
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Need help please it’s due today show work
Answer:
30+ deg -10 =20+deg
so answer is see mark brainliest plz
What is 30% of 50 pounds?
Answer:
15 pounds
Step-by-step explanation:
hope that help
2.86= ? teneh + 6 hundredth
Answer:
8
Step-by-step explanation:
Answer:
8 and 6.
Step-by-step explanation:
2.86 has tenths and hundredths place.
After the decimal point is the tenths place and after the tenths place is hundredths place.
The number 8 is the tenths place and the number 6 is in the hundredths place.
What is the value of 4n+ 7 when n
-
2?
Answer:
Either 15 or -1 see below
Step-by-step explanation:
I am not sure if you menat n = 2 or n = -2
n= 2
4n + 7 Subtitute in 2 for n
4(2) + 7
8 + 7
15
n = -2
4n + 7y
4(-2) + 7
-8 + 7
-1
a - 15 = 22
———
83 = y - 17
could someone please give me the step-by-step answer for these?
I’m really confused
Answer:
a = 37 y = 100
Step-by-step explanation:
Think of the inverse operation of addition which is subtraction. Then you can guess and check and see what fits where. The letters are just placeholders so I took the given number and added it to the answer to get the answers for the blanks.
Cheers!
Translate the following sentence into an algebraic inequality: Three times a number, v, added to eight is greater than or equal to twenty-two. Question 7 options: A) 3v + 8 > 22 B) 3v + 8 ≥ 22 C) 3v + 8 ≤ 22 D) 3v + 8 < 22
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(3v + 8 \geq 22\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(\boxed{\text{Breaking down the phrase...}}\\\\\text{Three times a number, v, added to eight is greater than or equal to twenty-two. }\\------------------\\\rightarrow \text{"Three times a number, v..."} - 3v \text{ This expresses the product of '3' and 'v'.}\\\\\rightarrow \text{"added to eight..."} - + 8 \text{ The product gets added to eight.}\\\\--------------\\\text{The First Part Is:}}\\\\3v + 8\\---------------\\\rightarrow \text{is greater than or equal to twenty-two. } - \geq 22\)
\(\text{The value of '3v + 8' is greater than or equal to 22.}\\---------------\\\text{\underline{Putting it together, we would have:}}\\\\\boxed{3v + 8 \geq 22}}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A leaking pond loses 12 gallon of water in 23 hours How many gallons of water will it lose in 31 hours
Answer:
The volume of water the pond will lose in 31 hours is 17.71 gallons.
Step-by-step explanation:
Given;
Rate of water leakage, R = 12 gallon of water in 23 hours
\(R = \frac{12 \ gallons}{23 \ hours}\)
In 31 hours the volume of water leaked is calculated as;
\(V = \frac{12 \ gallons}{21 \ hours} \times 31 \ hours\\\\V = 17.71 \ gallons\)
Therefore, the volume of water the pond will lose in 31 hours is 17.71 gallons.
which of the binomials below is a factor of this trinomial
x^2-13x+30
The binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.
To determine which binomial is a factor of the trinomial x² - 13x + 30, we need to factorize the trinomial completely.
In this case, we need to find two binomials in the form (x - a)(x - b) that satisfy the equation:
(x - a)(x - b) = x² - 13x + 30
So, (x - 3)(x - 10) = x² - 13x + 30.
Therefore, the binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.
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BIG IDEAS MATH
K
Tell whether the information in the figure allows you to conclude that point P lies on the perpendicular bisector of
LM.
L
P
M
Yes
O No
N
Explain your reasoning.
Note that it is correct to state that LN ≅ MN and Nk ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK. See attached image.
What is a perpendicular bisector?A perpendicular bisector is a line that cuts another line segment across the junction point at a straight angle. As a result, a perpendicular bisector always cuts a line segment through its midway. The phrase bisect implies dividing evenly or uniformly.
A simple technique to determine a perpendicular bisector is to measure the line segment you need to bisect. Then, divide the measured length by two to determine the midway. Draw a line at a 90-degree angle out from this middle.
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Full Question:
Tell whether the information in the diagram allows you to conclude that point P lies on the perpendicular bisector of LM. Explain your reasoning. See attached image.
A) No. You would need to know that LK ⊥ MK
B) No. You would need to know that KP ⊥ LM
C) Yes, t LN ≅ MN and Nk ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK
D) Yes, NK ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK
Domain:
O-85x<0 or 0
O-85x50or 0≤x≤2
O 1
O 2
The domain and the range of the piecewise function in this problem are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.Learn more about domain and range at https://brainly.com/question/26098895
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The graph shows the relationship between mass of hamster food and the number of days it takes Gabin's
hamster to eat it.
Grams
80-
60+
40+
(1,30)
20-
+
→ Days
What does 30 mean in this situation?
Answer:
Gabins hamster eats 30 grams of food a day.
Step-by-step explanation:
Review the information given based on a principal balance of $18,000 to answer the question:
FICO Score Simple Interest Rate Total # of Payments Total Amount Paid
800-850 12%
29
740-799 15%
33
670-739 18%
38
48
580-669 21%
300-579 28%
60
$20,160.00
$20,700.00
$21,240.00
$21,780.00
$23,040.00
Calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a
730 credit score. Round the final answer to the nearest tenth. (4 points)
O 20.0%
O 17.3%
O 19.5%
O 18.4%
Answer:
To calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a 730 credit score , we need to find the total amount paid for each score and then calculate the percent increase.
From the given table , we can see that the simple interest rate for a credit score of 740-799 is 15%, and the total number of payments is 33 . So, the total amount paid for a principal balance of $18,000 with a credit score of 740 is:
Principal + Total Interest = Total Amount Paid
$18,000 + ($18,000 * 15% * 33/12) = $20,700
Similarly, for a credit score of 730, we need to use the simple interest rate for a credit score of 670-739 , which is 18%, and the total number of payments is 38. So, the total amount paid for a principal balance of $18,000 with a credit score of 730 is:
Principal + Total Interest = Total Amount Paid
$18,000 + ($18,000 * 18% * 38/12) = $21,240
Now, to calculate the percent increase in the amount of interest paid , we can use the following formula:
Percent increase = |(New value - Old value) / Old value| * 100%
Plugging in the values, we get:
Percent increase = |($21,240 - $20,700) / $20,700| * 100%
Percent increase = 2.6%
Rounding to the nearest tenth, we get the final answer as:
Percent increase = 2.6% ≈ 2.5% (rounded to the nearest tenth)
Therefore, the answer is O 2.5%.
Step-by-step explanation:
The fraction of PKR 1 is 50 paisas
The fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
What is a fraction?A fraction is a numerical representation of the division of the two terms x and y, as follows:
Fraction = x/y.
As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
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