The methods which can be used to prove that the two triangles are congruent are:
Prove all three sets of corresponding angles are congruent.
Prove all three sets of corresponding sides are congruent.
Option C and Option D are the correct answer.
What are corresponding angles?Corresponding angles are angles that occur on the same side of the transversal line and are equal in size.
We have,
To prove that two triangles are congruent, we need to show that the corresponding sides and corresponding angles are congruent.
So,
Prove all three sets of corresponding angles are congruent.
Prove all three sets of corresponding sides are congruent.
These two methods can be used to prove that the two triangles are congruent.
Thus,
The methods which can be used to prove that the two triangles are congruent are:
Prove all three sets of corresponding angles are congruent.
Prove all three sets of corresponding sides are congruent.
Option C and Option D are the correct answer.
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What is a better credit score?
Select the correct answer below:
A lower number
An even number
An odd number
O A higher number
Answer:
A higher number.
Step-by-step explanation:
You don't want your credit to be low, and a higher number beats all of them.
You want high credit.
Not low.
Answer:
definately you want a higher number
Suppose Charmaine borrows $7500 at an interest rate of 12% compounded each year.
Assume that no payments are made on the loan.
Follow the instructions below. Do not do any rounding.
(a) Find the amount owed at the end of 1 year.
(b) Find the amount owed at the end of 2 years.
AS per the concept of Compound interest,
(a), The amount owed at the end of 1 year is $8,400
(b) The amount owed at the end of 2 year is $ 9,408
Compound interest:
The general formula to calculate the compound interest is
A = P(1 + r/n)ⁿˣ
where
A represents Accrued amount (principal + interest)
P represents Principal amount
r represents Annual nominal interest rate as a decimal
n represents number of compounding periods per unit of time
x = time
Given,
Suppose Charmaine borrows $7500 at an interest rate of 12% compounded each year. Assume that no payments are made on the loan.
Here we need to find the following,
a)the amount owed at the end of 1 year.
b) the amount owed at the end of 2 year.
From the given details we know that the value of
Principal amount = $7,500
Interest rate = 12%
Part a) the amount owed at the end of 1 year is calculated as,
Here we have to convert R as a percent to r as a decimal
r = R/100
r = 12/100
r = 0.12 rate per year,
Then solve the equation for A
A = 7,500.00(1 + 0.12/1)(1)(1)
A = 7,500.00(1 + 0.12)(1)
A = $8,400.00
Therefore, the amount owed at the end of 1 year is $8,400.
Part b) The amount owed at the end of 2 year is calculated as,
In this one the value of principal amount interest rate are same but the value of year only differs as 2,
So, the amount is
=>A = 7,500.00(1 + 0.12/1)(1)(2)
=> A = 7,500.00(1 + 0.12)(2)
=> A = $9,408.00
Therefore, the amount owed at the end of 2 years is $9,408.
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(x+y)^2 where x= 4 and y= -3
a certain forest covers 4400 km^2 suppose that each year this area decreases by 7.25% what will the area be after 6 years?
In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.
What forest area shall remain after 6 years?
According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:
n(x) = n' · (1 - r)ˣ
Where:
n' - Initial forest area, in square kilometers.r - Grown rate.x - Time, in years.If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:
n(6) = 4400 · (1 - 0.0725)⁶
n(6) = 2801.149
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Which algebraic property (proof reason) would you use to justify the conditional
statement: If 4x = 8, then x = 2*
Answer:
True
Step-by-step explanation:
Divide each term by 4 then simplify
Estimate the slope of the tangent line (rate of change) to f(x) = ² at x = -1 by finding the slopes of
the secant lines through the points:
a. (-2,4) and (0,0)
secant slope, msec=
b. (-1.5, 2.25) and (-0.5, 0.25)
secant slope, msec=
a. The secant slope through (-2,4) and (0,0) is -2.
b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.
The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.
To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.
a. (-2,4) and (0,0):
The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:
msec = (y2 - y1) / (x2 - x1)
Plugging in the values, we get:
msec = (0 - 4) / (0 - (-2))
= -4 / 2
= -2
So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.
b. (-1.5, 2.25) and (-0.5, 0.25):
The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:
msec = (0.25 - 2.25) / (-0.5 - (-1.5))
= (-2) / (1)
= -2
So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.
By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.
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Factorizie completely 2ap+aq-bq-2bp
Answer:
2ap + aq - bq -2bp = (a - b)(2p + q)
Step-by-step explanation:
(2ap + aq) - (bq -2bp)
a(2p +q) -b(q + 2p) [ taking a common from the first, and b from the second]
(2p + q) [a - b] [takin (2p + q)]
(2p + q)(a - b)
The completely factored form of the expression 2ap + aq - bq - 2bp is
(a - b)(2p + q).
In order to completely factorize the given expression, we need to look for common factors and apply factorization techniques.
Given expression: 2ap + aq - bq - 2bp
Step 1: Look for common factors.
Notice that 'a' is common in the first two terms, and '-b' is common in the last two terms.
Step 2: Factor out the common terms.
We can factor 'a' from the first two terms: a(2p + q)
And factor '-b' from the last two terms: -b(q + 2p)
Step 3: Rearrange the expression.
Now we have: a(2p + q) - b(q + 2p)
Step 4: Factor by grouping.
We can see that (2p + q) is common in both terms, so we can factor it out: (2p + q)(a - b)
Step 5: Final result.
Thus, the completely factored form of the given expression is
(a - b)(2p + q).
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Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x ≈ 58.5°
Step-by-step explanation:
using the tangent ratio in the right triangle
tan x = \(\frac{opposite}{adjacent}\) = \(\frac{DE}{EF}\) = \(\frac{8}{4.9}\) , then
x = \(tan^{-1}\) ( \(\frac{8}{4.9}\) ) ≈ 58.5° ( to the nearest tenth )
Answer:
\(x = 59.16 \degree\)
Step-by-step explanation:
We are given a right angled triangle, with two sides as 4.9 and 8 . And we are interested in finding out the measure of the angle "x" . With respect to angle x , the side measuring 8 is perpendicular and that measuring 4.9 is base.
In a right angled triangle, tangent is defined as the ratio of perpendicular and base .
So , according to the question,
p = 8 b = 4.9Now we have;
\(\implies \tan\theta =\dfrac{p}{b} \\\)
Here the angle is " x " , so that ,
\(\implies \tan x =\dfrac{8}{4.9}\\\)
Simplify,
\(\implies \tan x = 1.63 \\\)
Take arctan on both the sides,
\(\implies \arctan (\tan x ) = \arctan(1.63) \\\)
Simplify,
\(\implies x = \arctan(1.63)\\\)
\(\implies \underline{\underline{ x = 59.16\degree \approx 59.2\degree}}\\\)
Hence the value of x is 59.2° .
Stephen wants to purchase a laptop, but he does not have enough money in his bank account to pay for one.
Which of these is not an option for Stephen?
Answer:
A
Step-by-step explanation:
If you have no money in the bank the debit card won't work
Answer:
its C
Step-by-step explanation:
Question 4 of 10
Assume that AGHI ALMN. Which of the following congruence statements
are correct? Check all that apply.
Π.A. LNG ΔΗ
B. IG LM
C. ME ZH
D. LG
E. GH = LM
F. TH= NM
Answer:
C. ME ZH
B. IG LM
F. TH= NM
Step-by-step explanation:
The correct congruence statements are A, B, and C such that ∠N = ∠I, GH = LM, and ∠M= ∠H are true for similar triangles.
What are Similar Triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
To determine which congruence statements are correct, we need to identify the corresponding sides and angles of the triangles.
The corresponding sides and angles are those that are in the same position in each triangle.
Using this information, we can check each statement:
A. ∠N = ∠I: This statement is true because ∠N and ∠I are corresponding angles in the congruent triangles.
B. GH = LM: This statement is true because GH and LM are corresponding sides in the congruent triangles.
C. ∠M= ∠H: This statement is true because ∠M and ∠H are corresponding angles in the congruent triangles.
D. IG = LM: This statement is false because IG and LM are not corresponding sides in the congruent triangles.
E. IH = NM: This statement is false because IH and NM are not corresponding sides in the congruent triangles.
F. ∠L = ∠I: This statement is false because ∠L and ∠I are not corresponding angles in the congruent triangles.
Therefore, the correct congruence statements are A, B, and C.
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Triangle RST with (2,0), s(-2,-3), and t(-2,3) reflected over the y axis. Find the coordinates and vertices
I
Step-by-step explanation:
The coordinates and vertices
which reflected over the y- axis are
r(-2,0) , s(2,-3) , and t(2,3).
y varies directly as x.y = 52 when x=4. Find y when x= 10.
y=
(Simplify your answer.)
Answer:
9ha
shhsi a sa.anjwkw a zkaq
need help please please
Answer:
Insert the equations into desmos and then it will show you the lines.
Step-by-step explanation:
If not then use this as help:
y=-1 is a horizontal line passing through y coordinate -1x= 6 is a vertical line passing through x coordinate 6x=-3 is a vertical line passing through x coordinate -3y=4 is a horizontal line passing through y coordinate 4The condition to satisfy is x + 7 = 6. To isolate x, subtract from each side of the equation. Thus, x + 7 = 6
The value of x that satisfies the equation is determined as -1.
What is the value of x?The value of x in the equation is calculated by applying simplification method as shown below.
Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter).
The given expression;
x + 7 = 6
To determine the value of x we will simplify the equation as follows;
x + 7 = 6
Collect similar terms together;
x = 6 - 7
x = - 1
Thus, the value of x that satisfies the equation is -1.
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The complete question is below:
The condition to satisfy is x + 7 = 6. To isolate x, subtract from each side of the equation. Thus, x + 7 = 6. find the value of x.
PLEASE ANSWER ASAP!!!
Your school is planning a field trip to the zoo. There are two different bus companies that the school can use. Bus company A has a $40 rental fee plus $6 for each student. Bus company B has a $120 rental fee plus $2 for each student. How many students will need to go in order for the bus to cost the same from both companies?
Answer:
ok can you storten it.hyyyyuu7766ttt5rrrrrttttttttttyy
Answer:
20 students for $160
Step-by-step explanation:
bus a: y = 6x + 40
bus b: = 2x + 140
x = # of students | y = cost
FOR X: *set equations = to each other*
6x + 40 = 2x + 140 *subtract 2x from both sides*
4x + 40 = 120 *subtract 40 from both sides*
4x = 80 *divide by 4 on both sides*
x = 20
FOR Y:
y = 6x + 40 *plug in 20 for x and solve*
y = 6 (20) + 40
y = 120 + 40
y = 160
Solve using tangent and cosine
The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.
What are the sides of the triangle labelled x?The figures in the image are right triangles.
A)
angle D = 17 degree
Adjacent to angle D = 14 mm
Opposite to angle D = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( 17 ) = x/14
x = tan( 17 ) × 14
x = 4.3mm
B)
angle Z = 82 degree
Adjacent to angle Z = 43.1 m
Hypotenuse = x
Using trigonometric ratio,
cosine = adjacent / hypotenuse
cos( 82 ) = 43.1 / x
x = 43.1 / cos( 82 )
x = 309.7 m
Therefore, the measure of x is 309.7 meters.
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The students in mr aizawa’s history class are required to read 3 books from a list of 8 books. How many different combinations of books are possible?
Answer:
I just need points I have ro freaking clue
wat factor of 26 is between 4 and 26
Answer:
13
Step-by-step explanation:
cos 13 x 2 = 26
13 is a factor that is more than 4 and less then 26
The factor of the number 26 that is between 4 and 26 is 13. Factors are the numbers that can divide into a number without leaving a remainder. In this case, the factors of 26 are 1, 2, 13, and 26.
Explanation:In mathematics, a factor of a number is a number that divides into another number without leaving a remainder. In the case of the number 26, its factors include 1, 2, 13, and 26. The factor of 26 that is between 4 and 26 is 13.
To find this, you can go through the factors of 26 one by one. The factors are found by dividing 26 by all the numbers up to 26, and the numbers that give a remainder of 0 are the factors. In this case, 1, 2, 13, and 26 divide evenly into 26, and so are the factors of 26. Of these, only 13 lies between 4 and 26.
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Which of the following is NOT an impact of American consumerism?
A. Exorbitant personal debts
B. Lack of unemployment and homelessness
C. Cash generators for several nations
D. Stress
The terms which is not an impact of American consumerism is -
Option C: Cash generators for several nations.
What is consumerism?
The tendency to continuously consume is known as consumerism. It is the need to acquire more possessions and establish one's identity via them. Consumer spending and GDP growth are seen as benefits of consumerism by economists.
The American consumerism includes -
Debts : Due to introduction of credit cards the consumers have ore and more debt on their credit cards whilst they spend on materialistic goods.
Lack of Unemployment : Economists point out that a decline in product demand causes an economic downturn or even depression, which is accompanied by high unemployment.
Stress: Due to debt, recession and unemployment people are constantly under stress for surviving.
Since, consumerism helps in GDP growth of a country it does not help generate cash for other nations.
Therefore, " Cash generators for several nations" is not an impact.
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Can someone please help me Please I'm desperate
Rob is 7 years older than James. Kate is 2 years younger than James. If the sum of their ages is 116, how old are each of the siblings?
Answer:
James is 37, Rob is 44, and Kate is 35
Step-by-step explanation:
Set up an equation where x is James' age:
Rob's age can be represented by x + 7, since he is 7 years older than James
Kate's age can be represented by x - 2, since she is 2 years younger than James
Add these together in the equation and set it equal to 116:
(x + 7) + (x - 2) + (x) = 116
Add like terms and solve for x:
(x + 7) + (x - 2) + (x) = 116
3x + 5 = 116
3x = 111
x = 37
So, James is 37.
Find Rob's age by adding 7 to this:
37 + 7
= 44
Find Kate's age by subtracting 2:
37 - 2
= 35
So, James is 37, Rob is 44, and Kate is 35
Answer:
Rob = 44
Kate = 35
James = 37
Step-by-step explanation:
Rob = 44 which is 7 years older than James
Kate = 35 which is 2 years younger than James
James = 37
I need help on this please! Thanks
Answer:
B. The product of 5 and a number.
Product means multiplication is taking place. In this case, 5 is being multiplied with n.
Hope this helps!
Evaluate 9 -- 5 when b 8.
9+5=14 bx8=8b Hope this helps sir or miss!
factorise fully:
1) 2014² - 2013²
please explain and help
Last socer season, Trish scored g goals , Alexa scored
4 more goals than Trish, write an expression that
shows how many goals Alexa scored.
Alexa scored g + 4 goals in the last soccer season.
What is expression in math?Expression in mathematics is a combination of symbols, such as numbers and operators, which produces a mathematical result. An expression can involve a single term or multiple terms and usually consists of a combination of constants, variables, operators, functions and parentheses. In an expression, operators are used to perform operations on terms, allowing one to solve equations and other problems. Examples of mathematical expressions include 3 + x = 5, sin(x) + 4, and (x + 2y)^2.
The expression that shows how many goals Alexa scored is: Alexa scored (g + 4) goals.
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What is the particular integral of ODE y”+3y’+2y= 2x+1
Refer to the attached images.
Susan is running a 5k race. The graph of distance vs. time is shown.
What interval is she running the fastest?
The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )
Given data ,
Susan is running a 5k race. The graph of distance vs. time is shown
So , the slope of the first line is m₁
And , the slope of the second line is m₂
where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )
Now , slope of AB is
m₁ = ( 3/10 ) = 0.3
And , m₁ = 0.3 kilometers per minute
And , slope of BC is
m₂ = ( 4 - 3 ) / ( 20 - 10 )
m₂ = 1/10
m₂ = 0.1 kilometers per minute
Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )
Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )
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What is the value of f(2) when f(x)= 3x-7?
What numbers make this expression undefined x^2+3/x^2-11x-12
\( \frac{ {x}^{2} + 3}{ {x}^{2} - 11x - 12} \)
Because which numbers will make the expessions undefined. We will focus on the denominator only.
Factor the terms.
\((x - 12)(x + 1)\)
Now which 2 numbers that will make these terms become 0?
12 and - 1 of course.
So these 2 numbers that will make the expressions undefined are 12 and - 1
PLEASE I NEED THIS FAST
Answer:
1. 2 + 3
2. -4 - 8
3. -4 + 8
4. -2 × 2
5. 24 ÷ 2
6. 3 - 8
7. 1 × 7
8. -7 ÷ -1
9. 36 ÷ 4
10. 3 × -3
you're welcome
An industrial cleaning solution calls for 5 parts water to 2 parts concentrated cleaner. If a worker uses 15 more quarts of water than concentrated cleaner to make a solution.
A how much concentrated cleaner did she use ?
B how much water did she use ?
C how much solution did she make ?
Answer: A. To find out how much concentrated cleaner the worker used, we can set up the equation: x + 15 = 5x/2, where x is the amount of concentrated cleaner used in quarts. Solving for x, we find that the worker used 15 quarts of concentrated cleaner.
B. Since we know that the worker used 15 more quarts of water than concentrated cleaner, we can find out how much water she used by adding 15 quarts to the amount of concentrated cleaner used. In this case, the worker used 15 quarts + 15 quarts = 30 quarts of water.
C. To find out how much solution the worker made, we add the amount of concentrated cleaner used and the amount of water used. In this case, the worker made 15 quarts + 30 quarts = 45 quarts of solution.
Step-by-step explanation: