Answer:
B. LA
C. HL
E. HA
A. LL
The congruence of a right triangle is given by
a) HA
b) HL
c) LL
d) LA
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the triangles be represented as A and B
Now , the triangles are right angled and their congruency is given by
The hypotenuse-angle theorem, often known as the HA theorem, says that two right triangles are congruent if their hypotenuses and acute angles are parallel to one another.
Any two right triangles that have a congruent hypotenuse and a matching, congruent leg are congruent triangles, according to the HL, or hypotenuse-leg, theorem.
According to the LA, or leg-acute, theorem, a right triangle is congruent if its leg and any acute angle are congruent with the corresponding leg and acute angle of another right triangle.
Hence , the triangles are congruent
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Which property of polynomial addition says that the sum of two polynomials
is always a polynomial?
O A. Commutative
O B. Multiplication property of equality
C. Distributive
D. Closure
SUBMI
Answer:
The property of polynomial addition that says that the sum of two polynomial is always a polynomial is called closure property of addition or under addition.
Polynomials are closed under addition because when you add polynomials the letters and their exponents do no change, you just add the coefficients of the like terms (those with same letters raised to the same exponents), so the result will be other polynomial of the same kind, except for the terms that cancel (positive with negative) which does not change the fact that the result is still a polynomial.
In mathematics the closure property means that the result of an operation over a kind of "number" will result in a "number" of the same kind.
Find the x-intercept and y-intercept
from the following linear equation:
6x – 9y = 54
x - intercept ([?], [])
y - intercept ([],[])
Answer:
X=(9,0)
Y=(0,-6)
A truck is bought at the price of $67,000. The price decreases at the rate of .30 every year (t). Which equation matches this exponential model?
Question 3 options:
A)
f(t) = 67(.70)t
B)
f(t) = 70(67,000)t
C)
f(t) = t(.70)67,000
D)
f(t) = 67,000(.70)t
Answer:
f(t) = $67000(.30)^t (Must use " ^ " to indicate exponentiation)
Step-by-step explanation:
This is an exponential function:
f(t) = $67000(.30)^t (Must use " ^ " to indicate exponentiation)
solve the system of equations given below pleasee i need to pass
Answer:
B.(-1,10)
Step-by-step explanation:
Hope this helps
Please write a Complete answer.
Answer:1. 8.6 2. 9.4 3.8.5
Step-by-step explanation:
Answer: The first puppy would weigh: 8.6 ounces
The second puppy would weigh: 9.4 ounces
The third puppy would weigh: 8.5 ounces
Step-by-step explanation: The puppies weights were 6.5, 7.3, and 6.4 respectively. The question says each puppy gained 2.1 ounces
So just add 2.1 to each of the puppies weights:
6.5+2.1=8.6
7.3+2.1=9.4
6.4+2.1+8.5
Hope this helps :)
Joe was promised $22.00 and a new CD for taking care of a neighbor’s dog for 7 days. But when the neighbors came home after just 5 days, Joe got the CD and only $14.00. What was the value of the CD?
Answer:
Since Joe did not get the whole $22 and only $14, then it would only be fair to say that the CD was worth $8.
Step-by-step explanation:
f(x)=3x−4g(x)=−x2+2x−5h(x)=2x2+1j(x)=6x2−8xk(x)=3x2−x+7 Calculate (fh)(x).
Answer:
( f h ) (x) = 6 x² - 1
Step-by-step explanation:
Step(i):-
Given f(x) = 3 x - 4
g (x) = −x²+2 x−5
h (x) = 2 x² + 1
j (x) = 6 x + 2 - 8 x
K (x) = 3 x² - x + 7
Step(ii):-
( f h ) (x) = f ( h (x)) = f ( 2 x² + 1 )
= 3 (2 x² + 1 ) - 4
= 3 ((2 x² ) + 3 - 4
= 6 x² - 1
Final answer:-
∴ ( f h ) (x) = 6 x² - 1
Identify the solution to the system of linear equations
Y=-x-2
Y=x-6
Answer:
(-4, 2)
Step-by-step explanation:
By looking at the graph, the solution to the system of linear equations will always be where they intercept. If they both are the same line it means that there are infinite solutions, and if they don't intercept at all, that means there are no solutions.
For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range. The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2. The vertex is (1, 2), the domain is all real numbers, and the range is y ≤ 2. The vertex is (−1, 2), the domain is all real numbers, and the range is y ≥ 2. The vertex is (−1, 2), the domain is all real numbers, and the range is y ≤ 2.
Answer:
The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2
Step-by-step explanation:
The functions given to us is:
f(x) = 3(x - 1)² + 2
Domain:
As there is no limitation of x, all value of x are possible. So
Domain = All real numbers
Range:
For all values of x, the minimum value of y is 2 calculated at x = 1. The rest of the values are greater than 2. So,
Range = y ≥ 2
Vertex:
Simplifying the function:
f(x) = 3(x² + 1² - 2(x)(1)) + 2
f(x) = 3(x² - 2x + 1) +2
f(x) = 3x² - 6x + 3 + 2
f(x) = 3x² - 6x + 5 (ax² + bx + c)
where a = 3, b = -6, c = 5
x-coordinate of Vertex is given as:
Vertex(x) = -b/2a = 6/2(3)
Vertex(x) = 1
Substitute x=1 in the function, we get
Vertex(y) = 2
So Vertex is at (1,2)
Answer: A. The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.
Step-by-step explanation:
I just took the test and A. is the correct answer!
Good Luck!!
-Aspyn
Write down the example of converting the two numbers to the same exponent:
We conclude that the _____ atom is the greater.
Answer:
2'nd atom
Step-by-step explanation:
There are two atoms one weighs
6.022*10^-29 grams
another weighs
1.66*10^-17 grams
Which atom has a greater mass?
Work:
-29-(-17)=-12
-29 is 12 decimal places smaller than ^-17
0.000000000006.022*10^-17=1.66*10^-17
0.000000000006.022=1.66
0.000000000006.022<1.66
atom 1 < atom 2
We can conclude that the second atom is the greater.
In the spinner below, what is the probability of landing
on 6?
A. 1/4
B. 1/8
C. 1/3
D. 1/6
Answer:
1/4
Step-by-step explanation:
There are 4 equal sized sections, and 2 sections that are twice the size of the others ( 2*2=4), for a total of 8 sections
The section with a 6 in it is a double size section so it counts as 2 sections
P(6) =number of sections with a 6/ total sections
=2/8
=1/4
Answer:
1/4
Step-by-step explanation:
A
HELP!! WILL GIVE BRAINLIEST! EASY!!
Answer:
Option 2
Step-by-step explanation:
Mid point theorem:
The line segment joining the mid point of two sides of a triangle, is parallel to the third sides and this line segment is half the length of the third side
I have no idea how to do this.. help?
Answer:
add
Step-by-step explanation:
Answer:
y=2/3+5
Step-by-step explanation:
Remember y=mx+b and the intercept is 5. Then we do rise over run. Which is 2/3. So it think:y=2/3+5. Please correct me if i am wrong. Hope this helps.
Please Help!!! Answer will get brainliest!!
Consider the expression.
What is the value of the expression if m = –5 and n = 3?
-24/25
-4/25
4/25
24/25
Answer:
4/25
Step-by-step explanation:
First move everything so they have positive exponents
4n²/9m²
4(3)² / 9(-5)² = 36/225, now simplify 4/25
PLSS HELP SOON Is the sequence arithmetic? (Yes or no) If yes, please also give its common difference. 14) -2.8, -2.2, -1.6, -1.0
Answer:
The sequence is an arithmetic sequence.
Common difference = 0.6
Step-by-step explanation:
Given
-2.8, -2.2, -1.6, -1.0
Required
State if it's an arithmetic progression
Also state its common difference
To know if a sequence is arithmetic or not, we simply check for common difference
Common difference is calculated by subtracting a lower term with its immediate higher time;
In other words
[tex]Common difference = T_2 - T_1 = T_3 - T_2 = T_4 - T_3 = ......[/tex]
Where T represent Term and the number represent their positions;
So, from the given above
[tex]T_1 = -2.8\\T_2 = -2.2\\T_3 = -1.6\\T_4 = -1.0[/tex]
Calculating [tex]T_2 - T_1[/tex]
[tex]T2 - T1 = -2.2 - (-2.8)\\T2 - T1 = -2.2 + 2.8\\T2 - T1 = 0.6\\[/tex]
Calculating [tex]T_3 - T_2[/tex]
[tex]T_3 - T_2 = -1.6 - (-2.2)\\T_3 - T_2 = -1.6 + 2.2\\T_3 - T_2 = 0.6[/tex]
Calculating [tex]T_4 - T_3[/tex]
[tex]T_4 - T_3 = -1.0 - (-1.6)\\T_4 - T_3 = -1.0 + 1.6\\T_4 - T_3 = 0.6[/tex]
Notice that all the above workings gave the same result;
This shows that the sequence is an arithmetic sequence.
The result of each workings above is the common difference
Common difference = 0.6
Can someone please help me
This Is A Linear Graph Because Quadratic Graphs Are Curved
Please help me answer these e questions pleasesssss
Answer:
4) 8^14
7) h^7
10) 29^8 over 10^8
Step-by-step explanation:
If the numbers have the same base, just add their exponents together. So 10 plus 4 is 14.
Same thing for the second problem, since you have the same base, just add the exponents together. 6 plus 1 is 7
The bases are the same so just add the exponents, 7 plus one is 8.
(-2.9)^8
Convert it into a fraction: -(29/10)^8
Raise the fraction to the power (8) and the numerator and denominator to that power: 29^8/10^8
Hope this helps :)
8¹⁴
Step-by-step explanation:
4.) 8¹⁰×8⁴
=8 to the power (10+4)
=8¹⁴
7.) h⁶xh¹
=h to the power (6+1)
=h^7
10.) (-2.9)^1×(-2.9)^7
=(-2.9)^7+1
=(-2.9)^8
Find the value of x.
Answer:
x=1
Step-by-step explanation:
7 times 1 is 7 minus 1 is 6
2 times 1 is 2 minus 1 is 1
6 plus 1 is 7
you have to substitute the one
What steps should be taken to calculate the volume of the prism? Select three options.
24 ft
6 ft
oft
ft
Use the formula A = bh to find the area of the base.
Use the formula A= bh to find the area of the base.
Use the formula V=Bn to find the volume of the prism.
Answer:
the formula is V=BH
Step-by-step explanation:
if the prism is rectangular prism : it has three dimensions then V=length * height * width
V= L*H*W or V= base*H
or V=BH
in your question it does not show V=BH maybe it is misprint
The volume of the prism is V = Bh , where B is the base area and h is the height of the prism
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
Identify the shape of the base of the prism: The base of the prism can be any polygon, such as a triangle, rectangle, or hexagon. It is important to identify the shape of the base because the formula for calculating the area of the base will depend on the shape.
Calculate the area of the base: Once the shape of the base has been identified, calculate the area of the base using the appropriate formula. For example, if the base is a rectangle, the area would be calculated as length x width.
Multiply the area of the base by the height of the prism: Once the area of the base has been calculated, multiply it by the height of the prism to get the volume. The height is the perpendicular distance between the two parallel bases of the prism.
Hence , by following these three steps, you can calculate the volume of a prism regardless of its shape, as long as you can identify the shape of the base and calculate its area.
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Which expression can be used to check the answer to 56+(-14)=n?
Answer: n = 42
Step-by-step explanation:
56 - 14 = 42
If + and - are right next to each other, the + cancels out.
Answer:
i agree with Thetides5 the answer is n=42
Step-by-step explanation:
plz give me a brainliest i been working so hard to get a brainliest but no one has give me me one so plz can u give me one??? And hope this helps :D
does 4 1/2 times 2 3/4 equal 11 11/48?
4 1/2 times 2 3/4 does not equals to 11 11/48.
It actually equals to 12 3/8
hope it helps
Good luck on your assignment
Answer:
No,it's wrongThe correct answer is
[tex] = 12 \frac{2}{8} \\ = 12 \frac{1}{4} \\ [/tex]
Step-by-step explanation:
[tex]4 \frac{1}{2} \times 2 \frac{3}{4} \\ \frac{9}{2} \times \frac{11}{4} \\ = \frac{99}{8} \\ = 12 \frac{2}{8} \\ = 12 \frac{1}{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Think about the challenges facing the peace
process. Which of these problems threatened
Wilson's point?
Germany continued to attack American
shipping on the oceans.
The Allies were already making secret
alliances and plans.
The other heads of state refused to meet with
Wilson.
Answer:The allies were already...
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
The glee club has $90 to spend on pens and pencils. Each pen costs $0.75 and each pencil costs $0.15. Let x represent the number of pens, and let y represent the number of pencils. Part A Select the equation that describes the number of club pens and pencils that the glee club can buy. A. 0.15x + 0.75y = 90 B. 0.75x + 0.15y = 90 C. 0.90(x + y) = 90 Part B What is the greatest number of each type of writing tool that the club can buy? the greatest number of pens =? the greatest number of pencils =?
Answer:
Part A - 0.90(x + y) = 90 Part B - Pencils
Simplify (4p^3)(-4p^4)
Answer:
-16p⁷
Step-by-step explanation:
(4p³) (-4p⁴)
4 times -4 is -16. p³ times p⁴ is p⁷.
-16p⁷
Answer:
4p^3=12p
-4p^4=-16p
12p-16p=-4p
hope this helps
Which of the given line segments is congruent to AB?
Answer:
VW
Solution:
VW is congruent to AB, because they have the same length.
The line segment VW is congruent to AB.
What are congruent line segments?A pair of line segments are said to be congruent when the lengths of both the line segments are equal.
How do we solve the given question?To solve the given question, we compare each line segment with AB to find its congruent pair.
PQ: PQ > AB, so its not congruent to AB.RS: RS < AB, so its not congruent to AB.TU: TU < AB, so its not congruent to AB.VW: VW = AB, so its congruent to AB.∴ We can say that VW is the line segment congruent to AB.
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I need help please ASAP!!!!
Answer:
A pair of intersecting straight lines which agrees with option A of the answers in the list
Step-by-step explanation:
Recall, how a cone is built, as the surface produced by a line (called the "generatrix") as it moves at a fixed angle pivoting around a fixed point that will become the "vertex" of the cone.
As a plane cuts the cone perpendicular to its base and passing through the vertex, it will just intersect the generatrix trajectory in exactly two locations.
Maria, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a new clerk, needs 15 hours to do
the same job. Working together, how long will it take them to fill the order?
Answer:
≈ 7 hours
Step-by-step explanation:
Maria can do full job in 13 hours,
she can do 1/13 part of job in one hour
Felipe can do full job in 15 hours,
he can do 1/15 part of job in 1 hour
Together they can do:
1/13 + 1/15= 28/13*15= 28/195 of job in 1 hourto complete full job they need:
1 ÷ 28/195= 195/28 ≈ 7 hoursAnswer:
7 hr 10 min 12 seconds
Step-by-step explanation:
Maria, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a new clerk, needs 16 hours to do the same job. Working together, how long will it take them to fill the order?
------------------------
Maria rate = 1/13 job/hr
-----
Felipe rate = 1/16 job/hr
----
Together rate = 1/x job/hr
-------
Equation:
rate + rate = Together rate
1/13 + 1/16 = 1/x
----
16x + 13x = 13*16
------
29x = 13*16
The volume of a stack of identical circular drink coasters, each 1 centimeter thick, can be found using the function V(r)=8pi r^2 where r is the radius of a coaster. What does the constant 8 in the function represent?
Answer:
The constant 8 represents the height of the stack and hence the number of coasters. (It represents the number of coasters.)
Step-by-step explanation:
The formula for finding the volume of a cylinder is
V = πr²h
If you we take π =3.14 and h = 1 cm, as given in the question, then we can rewrite the formula for the volume of one coaster as
V = 3.14 * r²
But the formula in this question is
V(r) = 8*3.14 * r² so this means that there are 8 coasters here hence the formula for one coaster being multiplied by 8.
help again please thank you
Answer:
1) False
2) True
3) False
4) True
5) True
6) False
7) True
8) True
Answer:
The electron configuration of an element describes how electrons are distributed in its atomic orbitals. Electron configurations of atoms follow a standard notation in which all electron-containing atomic subshells (with the number of electrons they hold written in superscript) are placed in a sequence. For example, the electron configuration of sodium is 1s22s22p63s1.
Step-by-step explanation:
What is the slope of the line passing through the points (1, 2) and (5, 4)?
−2
1/2
2
1
Answer:
The answer would be 1/2