Which postulate proves these two
triangles are congruent?
A. HL
B. SSA
C. SAS
D. None, not congruent
Answers
SAS is the postulate that establishes the congruence of these two triangles.
What is meant by triangle?The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the three sides' end-to-end connections at a point. 180 degrees is the sum of the triangle's three angles. According to the Angle-Side-Angle Postulate (ASA), if two angles from one triangle and its included side are congruent with two angles from another triangle and its included side, then the two triangles are congruent. Three sides and three vertices make up a triangle, which is a polygon. There is a 180 degree angle created inside the triangle. In other words, a triangle's internal angles add up to 180 degrees.To learn more about triangle, refer to:
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Related Questions
Whats the area of the circle above
Answers
Answer:
The answer is option AStep-by-step explanation:
Area of a circle = πr²
where
r is the radius of the circle
From the question
r = 15.2 cm
The area of the circle is
A = (15.2)²π
= 231.04π
= 725.833566685386...
We have the final answer as
725.8 cm²Hope this helps you
Express the given trigonometric functions in terms of the same function of a positive acute angle.sec 948 degrees, cos(-948) degrees
Answers
Given the Trigonometric Functions:
\(\begin{gathered} sec(948\text{\degree}) \\ \\ cos(-948\text{\degree}) \end{gathered}\)Using your calculator you get:
\(sec(948\text{\degree})\approx-1.49\)By definition, Secant is negative in Quadrant III.
Finds its Reference Angle as follows:
\(948\text{\degree}-5\cdot180\text{\degree}=48\text{\degree}\)Because:
\(\frac{948}{180}\approx5\)Then, you get:
\(=-sec\left(48\text{\degree}\right)\)Notice that:
\(cos(-948\text{\degree})\approx-0.67\)Then, you can conclude that it is in Quadrant II.
Therefore its Reference Angle is:
\(5\cdot180\text{\degree}-948\text{\degree}=-48\)So you can set up:
\(=-cos\lparen-48)\)By definition:
\(cos(-\theta)=cos\theta\)Therefore, you can rewrite it in this form:
\(=-cos(48\text{\degree})\)Hence, the answer is:
\(\begin{gathered} sec(48\text{\degree}) \\ \\ -cos(48\text{\degree}) \end{gathered}\)For any positive integer n, the value of n! is the product of the first n positive integers. For example, 4! = 4 * 3 * 2 * 1 =24. What is the greatest common divisor of 5! and 7! ?
Answers
The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.
the greatest common divisor of 5! and 7! is 120.
To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.
First, let's calculate the values of 5! and 7!:
5! = 5 * 4 * 3 * 2 * 1 = 120
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040
Now, let's factorize both numbers:
Factorizing 120:
120 = 2^3 * 3 * 5
Factorizing 5,040:
5,040 = 2^4 * 3^2 * 5 * 7
To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).
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Angel wants to invest $4,000.00 in a savings account.
Determine the simple interest rate required for Angel's investment to grow to $13,400.00 in 25 months.
Round your answer to the nearest tenth of a percent and don't forget to include a percent sign, %, in
your answer.
The interest rate required to grow the investment to $13,400.00 is ______
Answers
The interest rate required to grow the investment to $13,400.00 would be = 35%
What is simple interest?Simple interest is the amount of money that is received for a particular period of time due to an investment made to an account.
The principal amount = $4,000.00
The time for investment = 25 months = 2 years
The simple interest = 13,400 - 4000= $9400
The rate (R) = X
The formula for simple interest=
p×t×r/100
9400= 13,400× 2×r/100
Make R the subject of formula;
R = 9400×100/13400×2
R = 940000/ 26800
R= 35%
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Spencer bought 8 souvenirs during 2 days of vacation. How many days will Spencer have to spend on vacation before he will have bought a total of 12 souvenirs? Assume the relationship is directly proportional
Answers
Answer:
3 days
Step-by-step explanation:
hope u understand
mrs wu spent 1/6 of her on a dress and 2 blouses. the dress cost 3 times as much as each blouse. mrs wu spent 3/4 of her remaining money on a watch. she spent $220.50 more on the watch than on the dress.
Answers
Mrs. Wu initially had $1062.40.
Let's break down the given information step by step:
1. Mrs. Wu spent 1/6 of her money on a dress and 2 blouses.
Let's assume Mrs. Wu's total money is represented by the variable M. She spent 1/6 of M on the dress, which means she spent (1/6)M on the dress and the same amount on two blouses.
2. The dress cost 3 times as much as each blouse.
Let's assume the cost of each blouse is represented by the variable B. Therefore, the cost of the dress would be 3B.
3. Mrs. Wu spent 3/4 of her remaining money on a watch.
After spending on the dress and blouses, Mrs. Wu has (M - (1/6)M) = (5/6)M remaining. She spent 3/4 of this remaining money on a watch, which is (3/4) * (5/6)M = (15/24)M.
4. She spent $220.50 more on the watch than on the dress.
The amount spent on the watch is (15/24)M, and the amount spent on the dress is (1/6)M. The difference between these amounts is $220.50.
To find the value of M, we can set up an equation:
(15/24)M - (1/6)M = $220.50
Simplifying the equation:
(15/24 - 1/6)M = $220.50
(5/24)M = $220.50
Multiplying both sides by (24/5):
M = $220.50 * (24/5)
M = $1062.40
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the transverse tire company produces all types of tires at its factory due to fixed costs associated with running the factory, the company starts with a loss of $200,000, or profit of -$200,000, at the beginning of each month. the first major hurdle the company faces each month is to break even or reach the point at which the profit is 0. the tires are sold in batches of 1000. the company earns $40,000 for each batch of tires they manufacture and sell.
Answers
The company needs to sell 5000 batches of tires in order to break even each month.
The company starts with a loss of $200,000, or profit of -$200,000, at the beginning of each month.
Stating it in mathematical terms, total cost is equal to total revenue at that point.
Total cost = Total revenueFixed cost + variable cost = Total revenueTo determine how many batches of tires the Transverse Tire Company needs to sell in order to break even each month, we need to find when the profit is equal to 0.
The profit is calculated as the revenue minus the costs. Since the company starts with a loss of $200,000 each month, we need to calculate how much revenue is needed to reach 0 profit.
⇒Revenue = number of batches * $40,000 per batch
⇒Profit = Revenue - $200,000
Setting profit equal to 0:
⇒0 = Revenue - $200,000
⇒Revenue = $200,000
Dividing both sides by $40,000 per batch:
⇒0 = 5000 batches
Therefore, the company needs to sell 5000 batches of tires in order to break even each month.
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What is the length of BC?
Answers
Answer: BC = 24
Step-by-step explanation:
Given:
AB = x+33
AC = 3x - 15
BC = x
<B = <C
Solution:
Because <B = <C, you can say the corresponding sides AB and AC are equal as well
AB = AC
x + 33 = 3x -15
48 = 2x
x = 24
Since x = BC
BC = x
BC = 24
Circle A with center at (3, 4) and radius of 2 is similar to circle B with center at (−4, −5) and radius of 3. An incorrect informal argument for proving the two circles are similar is shown.
Step 1 Translate circle B to the right 9 units and up 7 units to form concentric circles.
Step 2 Dilate circle B to be congruent to circle A using scale factor of k equals r sub two over r sub one equals two thirds period
Step 3 When an object is dilated, the dilated object is similar to the pre-image, thus the two circles are similar.
Which step is incorrect, and how can it be fixed?
Group of answer choices
All steps are correct
Step 1, circle B should have been translated 7 units right and 9 units up
Step 3, replace "dilated" with "translated"
Step 2, circle B should have been dilated using scale factor of k equals r sub two over r sub one equals three halves
Answers
The required incorrect step is step 1, circle B should have been translated 7 units right and 9 units up. Option A is correct.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Here,
Circle A with a center at (3, 4) and a radius of 2 is similar to circle B with a center at (−4, −5) and a radius of 3.
To translate the circle B over circle A is given as 7 units right and 9 units up.
Thus, the required incorrect step is step 1, circle B should have been translated 7 units right and 9 units up. Option A is correct.
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A function with an input of 4 has an output of 10. Which of the following could not be the function equation?y = 14 - xy = x + 6y = 2 x + 3y = (2.5) x
Answers
Explanation
To answer the question, we will have to test each of the function when x=4, y should give 10
For the first option y = 14 - x
\(\begin{gathered} y=14-4=10 \\ y=10 \end{gathered}\)for option 2: y=x+6
\(\begin{gathered} y=4+6 \\ y=10 \end{gathered}\)For option 3: y = 2 x + 3
\(\begin{gathered} y=2(4)+3 \\ y=8+3 \\ y=11 \end{gathered}\)For option 4: y = (2.5) x
\(\begin{gathered} y=2.5(4)=10 \\ y=10 \end{gathered}\)Thus, the only one that could not be the function will be y = 2 x + 3
A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
Answers
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
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Grandpa has a barrel of apples. 2/5 of the apple are rotten. 24 of the apples are good. How many apples are there in total?
Answers
Answer:
40 Apples
Step-by-step explanation:
3/5 of the apples are good so divide 24 by 3 which is 8, then multiply 8 by 2 which is 16, add 24 and 16 together to get 40. Let me know if I'm wrong.
For each pair of functions and below, find and .
Then, determine whether and are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all in the domain of the composition.
You do not have to indicate the domain.)
f(x)=3/x,x=/= 0
g(x)=3/x, x=/=0
f(g(x))=
g(f(x))=
f and g are inverses of each other
f and g are not inverses of each other
f(x)=x+4
g(x)=-x+4
f(g(x))=
g(f(x))=
f and g are inverses of each other
f and g are not inverses of each other
Answers
Answer:
1- Inverses .
2 - Not inverses.
Step-by-step explanation:
Notice that
1 -
\(f(g(x))= 3/(3/x) = (3x)/3 = x\)
Since their composition is the identity, then they are inverses.
2 -
\(f(g(x)) = ((-x+4)+4) = -x+8\)
Since their composition is not the identity, then they are not inverses.
what is 10 divided by 0.38
Answers
Answer:
the answer is 26.3157895
Step-by-step explanation:
Let me know if this helps
Which of the following equations has the solution x= all real numbers?
Answers
After solving the equations, the equation which holds true for every real number x will be equal to 5(3 - x) + 7x = 3x + 15 - x. Hence, option B is correct.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Let's check the option one by one,
A.
5(3 - x) + 7x = 3x + 10 - x
15 - 5x + 7x = 2x + 10
2x + 15 = 2x + 10
2x - 2x = 10 - 15
0 = -5, this is not possible.
B.
5(3 - x) + 7x = 3x + 15 - x
15 - 5x + 7x = 2x + 15
2x + 15 = 2x + 15
Here, we can see that LHS = RHS are equal, then this holds true for every real number x.
2x - 2x = 15 - 15
0 = 0, universally true.
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Deepak is choosing a password for his phone using letters from the alphabet, A-Z. The password must be four letters long, and he can repeat letters. How many different passwords can he create?
Answers
Answer: 26 × 4
Step-by-step explanation: There are 26 letters in the alphabet lettered A through Z.
Deepak is given the choice of picking a four letter password of his liking, using any four letters. Since the letters he uses can be repeated, it is 26 * 4 possibilities, since there are 26 different possibilities of letters from the alphabet he could choose, for 4 times. Also, since letters can be repeated, 26 stays the same. If letters could not be repeated, it would be 26 * 25 * 24 * 23.
Answer:
B. 26⁴
Step-by-step explanation:
If the password is 4 letters long and he can repeat letters then:
1st letter: any one of the 26 letters from the alphabet2nd letter: any one of the 26 letters from the alphabet3rd letter: any one of the 26 letters from the alphabet4th letter: any one of the 26 letters from the alphabetTherefore, to find the total number of passwords he can create, simply multiply the number of permutations for each letter of his password:
⇒ 26 × 26 × 26 × 26 = 26⁴
During the hockey season, Elena
averaged 5.625 assists per game. What is
5.625 written in expanded form? How is
it written with number names?
Answers
Answer: five and six hundred-twenty-five
Step-by-step explanation:
the decimal point represents the and, and all you need to do is write out the numbers, then you are good to go
What is 3x73 I need some help.
Answers
Answer:
219
Step-by-step explanation:
Instructions: Match each equations with correct type of event.
P(A) · P(BA)
P(A) + P(B)
PA and B)
P(A)
P(A) · P(B)
P(A) + P(B) - P(A and B)
Answers
The question is incomplete. Below you will find the missing contents.
The correct match of events with order are,
P(A)P(B|A) - Dependent event P(A)+P(B) - Mutually exclusive events P(A and B)/P(A) - Conditional events P(A) . P(B) - Independent Events P(A)+P(B) -P(A and B) - not Mutually exclusive events.When two events A and B are independent then,
P(A and B)=P(A).P(B)
when A and B are dependent events then,
P(A and B) = P(A) . P(B|A)
When two events A and B are mutually exclusive events then,
P(A and B)=0
So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)
P(A) + P(B) = P(A or B)
When events are not mutually exclusive then the general relation is,
P(A or B) = P(A) + P(B) - P(A and B)
If the probability of the event B conditioned by A is given by,
\(\mathrm{P(B|A)=\frac{P(A~and~B)}{P(A)}}\)
Hence the correct match are -
\(\mathrm{P(A)P(B|A)\rightarrow}\) Dependent event \(\mathrm{P(A)+P(B)}\rightarrow\) Mutually exclusive events \(\mathrm{\frac{P(A ~and ~B)}{P(A)}\rightarrow}\) Conditional events \(\mathrm{P(A) . P(B)\rightarrow}\) Independent Events \(\mathrm{P(A)+P(B) -P(A ~and ~B)\rightarrow}\) not Mutually exclusive events.Learn more about Probability of Events here -
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Write an equation for the word problem below
Joey has 25 collectible coins which is 9 more than the number Mark has. How many coins does Mark have?
Answers
In linear equation, 48 coins does Mark have.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
let
x = number of coins Mark has
Number of coins Joey have = 9 + 1 /3 x
Hence,
25 = 9 + 1 / 3 x
25 - 9 = 1 / 3 x
16 = 1 / 3 x
cross multiply
x = 16 × 3
x = 48 coins
Therefore, number of coins Mark have = 48 coins
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The complete question is -
Write an equation for the word problem below
Joey has 25 collectible coins which is 9 more than 1/3 the number Mark has. How many coins does Mark have?
A manufacturing company produces 275 units per day currently. The company's goal is to increase the number of units
manufactured per day by 50 each year. If the company meets its goal, how many units will it be producing per day 8 years
from now?
Select the correct answer below:
333
400
625
675
725
Answers
Answer:
D) 675 units per day.
Step-by-step explanation:
We can write a function to model the situation.
The company is currently producing 275 units per day.
And it will increase its production by 50 units after each year.
Therefore, after y years, its production in units per day will be:
\(f(y)=275+50y\)
Then 8 years from now, the company will be producing:
\(f(8)=275+50(8)=275+400=675\text{ units per day.}\)
Our answer is D.
whats 5,540 plus 6,720
Answers
Answer:
12260
Step-by-step explanation:
...........................
Work out the value of x
Answers
Answer:
x=40°
Step-by-step explanation:
Since the 2 sides of the triangle are equal, the angles are also equal. 180-110=70 so to find the angle measurement of x we have 180-70-70=40 x is 40°
What is 8(9h - 6) simplifyed
Answers
72h - 48
Step-by-step explanation:
Use distributive property
8(9h - 6)
Multiply 8 out of 9h - 6
72h - 48
Genevieve spent $56.25 to fill her 15-gallon tank. How much did she pay per gallon?
A. $3.25
B. $3.50
C. $3.75
D. $4.00
Answers
What is the value of the expression 2.5 (j.k) j when je 6 and K = 4? OA) 6 OB) 8 OC) 10 OD) 12
help ASAP
Answers
Answer:
C
Step-by-step explanation:
substitute the given values for j and k into the expression
\(\frac{2.5(6)(4)}{6}\)
= \(\frac{2.5(24)}{6}\)
= \(\frac{60}{6}\)
= 10
Two cars are traveling towards a hotel on the same road. From the edge of the hotel, 600 feet high, Spiderman sits on the rooftop thinking about the depression angle needed to reach each car. If the depression angle to the nearest car is 52 degrees, and the depression angle to the farther car is 46 degrees, how far apart must the two cars be from each other?
Make a sketch, solve the problem, and round your answer to the nearest hundredth of a foot.
Answers
The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.
To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.
In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:
tan(52) = 600 / d1
Rearranging the equation to solve for d1:
d1 = 600 / tan(52)
Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:
tan(46) = 600 / d2
Rearranging the equation to solve for d2:
d2 = 600 / tan(46)
Using a calculator, we can compute:
d1 ≈ 504.61 feet
d2 ≈ 681.95 feet
The distance between the two cars is the difference between d2 and d1:
Distance = d2 - d1
Plugging in the values, we have:
Distance ≈ 681.95 - 504.61
Distance ≈ 177.34 feet
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Help (PLATO)
its Algebra
Answers
Answer: The answer is D
Step-by-step explanation:
You add z to the other side then it will cancel out which then it would be (w+z) and then you times it by 2 by both sides which would be 2(w+z) and then you would subtract x from both sides which will be 2(w+z)-x
Hopefully this helps
Two pounds of cashews cost $19, and 8 pounds cost $76.
Number of pounds 2 3 8
Cost ($) 19 28.50 76
Is the relationship between the cost and the number of pounds of cashews a proportional relationship? Explain.
How can you use your equation to find the cost of 6 pounds of cashews?
Would it be possible to prove this is proportional or not proportional without the table? Explain how you know.
Please reply quickly thanks : )
Answers
Answer:
Yes there is a proportinal relationship because when I did 19 divided by 2 I got 9.5 and when I do 76 divided by 8 I got 9.5 so its proportinal. Yes I can find how much money 6 pounds is its 57. And yes I can do it without a table because all you have to do is divide the 19 and 2 and the other 2 numbers and if there the same then its proportinal.
Step-by-step explanation:
BRAINLIEST MAYBE???
Can someone help me? I’ll reward points + brainalist
Answers
Answer:
B
Step-by-step explanation:
2 CDs - $9.98
5 CDs - \(\frac{5}{2}\) × $9.98 = $24.95 (Option B)
Answer:
B.
Step-by-step explanation:
Cost of 2 CD = 9.98
cost of 1 CD = 9.98/2 =4.99
Cost of 5 CD = 4.99 × 5 = 24.95