Answer:
AAS
Explanation:
Angle: Angle T is congruent to angle U.
Angle: ∠TSN and ∠HSU are Vertically Opposite angles, therefore, they are congruent.
Side: NS is congruent to HS.
Therefore, triangles TSN and USH are congruent by the AAS Congruence Theorem.
If x= -4, find the value of x²-5+6.
Answer:
x^2_5+6
=-4^2-5+6
=+16-5+6
=+11+6
=17
Step-by-step explanation:
then the answer is 17
I hope it helps you c:
Step-by-step explanation:
If x= -4, find the value of x²-5x+6=(-4)²-5×-4+6
=16+20+6=42
please help me
is importe
Answer:
The answer is B
Step-by-step explanation:
1/6 * 4=2/3
2/3 * 2= 1 1/3
Can someone explain this ?
Answer: -11y+19
Step-by-step explanation:
-2y+14-9y+5=
-2y-9y+14+5=-11y+19
what is AE
AB=10
AE=2a + 10
ED=x + 3
CD=4
Enter you answer In the box
The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.
To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.
Given:
AB = 10
AE = 2a + 10
ED = x + 3
CD = 4
Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.
We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.
AE + ED = 6.
Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.
To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:
AE = 6 - x - 3.
Simplifying further, we get;
AE = 3 - x.
Therefore, the value of AE is 3 - x.
for such more question on value
https://brainly.com/question/27746495
#SPJ8
Find the inverse of A = 9, -2 -10, 7 , if it exists.
The inverse of matrix A, if it exists, is:
A^(-1) = [7/43, 2/43; 10/43, 9/43]
To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.
Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:
det(A) = (9 * 7) - (-2 * -10)
= 63 - 20
= 43
Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.
The formula to calculate the inverse of a 2x2 matrix is:
A^(-1) = (1/det(A)) * [d, -b; -c, a]
Plugging in the values from matrix A and the determinant, we have:
A^(-1) = (1/43) * [7, 2; 10, 9]
Simplifying further, we get:
A^(-1) = [7/43, 2/43; 10/43, 9/43].
For more such questions on Inverse of matrix:
https://brainly.com/question/27924478
#SPJ8
Need some help I’m stuck
Below are the true and false results for the number sentence;
1. 6x = 48 when x = 6 is false
2. 6x = 48 when x = 8 is True
3. x/2 ≥ 3 when x = 6 is True
4. x/2 ≥ 3 when x = 8 is True
5. x < 8 when x = 6 is true
6. x < 8 when x = 8 is False
7. 5x ≤ 30 when x = 6 is True
8. 5x ≤ 30 when x = 8 is False
How do we solve for the number sentences?The solution to the number sentence are;
1. 6 x 6 = 36, not 48.
2. 6 x 8 = 48
3. 6/2 = 3. therefore it fits the equal or greater sign
4. 8/2 = 4. it fits the greater or equal sign
5. if x is 6, 6 is less than 8. which makes the number sentence true
6. if x is 8, it is therefore not less than 8 but equal.
7. 5 x 6 is 30. Therefore 30 is not less than 30 but equal
8. 5 x 8 is 48. 48 is not less than or equal to 30
The answers provided are in reference to the questions below;
In each row of the table, select True or false if the number substituted for x results in a true or false number sentence
True False
6x = 48 when x = 6
6x = 48 when x = 8
x/2 ≥ 3 when x = 6
x/2 ≥ 3 when x = 8
x < 8 when x = 6
x < 8 when x = 8
5x < 30 when x = 6
5x < 30 when x = 8
Find more sentences regarding number sentences;
https://brainly.com/question/17322770
#SPJ1
What is the surface area of a right circular cylindrical oil can, if the radius of its base is 4 inches and its height is 11 inches?
A) 85π in
B)100π in
C)120π in
D)225π in
The surface area of the right cylindrical oil can is 120π in² and the right option is C) 120π in².
What is surface area?
The surface area of a solid object is a measure of the total area that the surface of the object occupies.
To calculate the surface area of the right cylindrical oil can, we us the formula below
Formula:
S.A = 2πr(r+h)...................Equation 1Where:
r = Radius of the baseh = Height of the cylinderS.A = Surface area of the cylinderFrom the question,
Given:
r = 4 inchesh = 11 inchesSubstitute these values into equation 1
S.A = 2×4×π(11+4)S.A = 120π squared in.Hence, the right option is C) 120π in².
Learn more about surface area here: https://brainly.com/question/1297098
#SPJ1
Pls hurry Solve the application problem. Find the area of a counter top that measures 2 yards by 2/5 yard.
A. 4/5 yd^2
B. 4 4/5 yd
C. 4 4/5 yd^2
D. 4/5 yd
Answer:
I believe its C i saw this yesterday somewhere not 100% sure
Step-by-step explanation:
What is the quotient of
9 – х?
3х
х2 + bx +9
and
3х
?
ОА.
x – 3
3 - x
ов. х - 3
x + 3
o С.
3 - x
x + 3
o D. x+ 3
x – 3
Answer: B
Step-by-step explanation:
Which of the following functions represent exponential decay?
O y=-2X
Oy
0 7 = 20.5x
Oy=2
Answer:
Im guessing the top one?
Step-by-step explanation:
not sure since the questions are a bit janky, but the exponential decay formula is y=a(1-r)^x
Solve for x.
18 = X/4 + 7
Answer: x=44
Step-by-step explanation: hope this helps
Kevin's total payroll deductions are 30% of his earnings. If his deductions add up to $369 for a two week period, how much were his earnings for the period?
Answer:
His earnings for the period= $123
Step-by-step explanation:
Kevin's total payroll deductions are 30% of his earnings. His deductions add up to $369 for a two week period.
If 30% of his earnings = $369
His earnings = x
30/100 * x= 369
X= 369*100/30
X= 123*10
X=$ 1230
His earnings for the period= $123
Heyyy again, What is the volume of this figure?
Answer:
144
Step-by-step explanation:
AABC is rotated 180° clockwise about the origin to produce AA'B'C'. Which
rule best describes this rotation?
O A. (x, y) → (-x, −y)
OB. (x, y) → (-y, -x)
O C. (x, y) → (-x, y)
OD. (x, y) → (y, -x)
SUBMIT
Correct transformation rule is (x, y) → (-x, −y).
What is angle of rotation?
The degree that a figure is rotated about a fixed point known as a point of rotation is expressed as an angle of rotation.
When a point is rotated 180° clockwise about the origin, the new coordinates can be found by taking the negative of the x and y coordinates of the original point.
For example, if the coordinates of point A are (2,3), then the coordinates of the rotated point A' would be (-2, -3), since we take the negative of both the x and y coordinates.
This rule applies to all points in the figure, so the correct transformation rule is (x, y) → (-x, −y).
To know more about angle of rotation visit,
https://brainly.com/question/2078551
#SPJ1
Suppose you start with one liter of vinegar and repeatedly remove 0.14 L, replace with water, mix, and repeat. a. Find a formula for the concentration after n steps. b. After how many steps does the mixture contain less than 9% vinegar?
Formula for the concentration after n steps is \(C(n) = C(0) * (0.86)^n\) and
after 11 steps, the mixture contains less than 9% vinegar.
What is concentration?
Concentration in science refers to the amount of a particular substance (the solute) that is dissolved in a given amount of a solution. It is typically expressed in units of moles per liter (M or mol/L) or as a percentage or fraction of the total solution.
a. Let C(n) be the concentration of vinegar after n steps. At each step, we remove 0.14 L of the mixture, which contains C(n) liters of vinegar. So we are left with (1 - C(n)) liters of water. We then add back 0.14 L of water, giving us a total volume of 1 liter. Therefore, the concentration after one step is:
\(C(1) = C(0) * \frac{1 - 0.14}{1}\)
where C(0) is the initial concentration of vinegar, which is 1 liter per liter or 100%. After two steps, we repeat the process:
C(2) = C(1) * \(\frac{1 - 0.14}{1}\)
Substituting the formula for C(1), we get:
C(2) = C(0) * \((\frac{1 - 0.14}{1}) * (\frac{1 - 0.14}{1})\)
or, more generally:
\(C(n) = C(0) * (0.86)^n\)
b. We want to find the smallest integer n such that C(n) < 0.09 or 9%. Substituting the formula from part (a), we get:
\(C(0) * (0.86)^n < 0.09\)
Dividing both sides by C(0), we get:
\((0.86)^n < 0.09\)
Taking the natural logarithm of both sides, we get:
n * ln(0.86) < ln(0.09)
Dividing both sides by ln(0.86), we get:
n > ln(0.09) / ln(0.86)
Using a calculator, we get:
n > 10.7
Since n must be an integer, the smallest possible value of n is 11. Therefore, after 11 steps, the mixture contains less than 9% vinegar.
To learn more about concentration visit the link:
https://brainly.com/question/17206790
#SPJ1
Help me with this problem
Answer:
the answer is that it is just an average size
9). The bacteria in a Petri dish culture are self-duplicating at a rapid pace. The relationship between the elapsed
time, t, in minutes, and the number of bacteria, BC), in the Petri dish is modeled by the following function:
B(O) = 5:35. How many bacteria will make up the culture after 80 minutes? Round to the nearest thousandth it
necessary
Answer:
66.44 MinutesStep-by-step explanation:
The number of Bacteria, B(t) at any time t(in minutes) is given by the function:
We want to determine the time(in minutes) for the culture to achieve 10,000 bacteria.
Therefore:
Divide both sides by 100
good luck
I NEED HELP WITH THIS QUESTION PLEASE
Solve the equation: 10 < 2x < x + 9
Answer: \(5 < x < 9\)
Step-by-step explanation:
\(x+9 > 2x > 10\\\\x+9 > 2x \implies x < 9\\\\2x > 10 \implies x < 5\\\\\therefore 5 < x < 9\)
Create and solve an additional word problem using the following numbers:
Word Problem: Sophie and Joan need to determine whether or not they have enough paint to paint the walls of their bedroom. They need 2 6/7 gallons of paint in order to cover the entire room. Sophie has brought 5/6 of a gallon of paint. What is the minimum amount of paint Joan needs to bring in order to paint the entire wall?
Answer: 2 1/42 gallons
Solving Steps:
2 6/7 - 5/6 (needs to be simplified)6/7 x 6/6 = 36/425/6 x 7/7 = 35/4236/42 - 35/42 = 1/422 + 1/42 = 2 1/42Final Answer: 2 1/42 gallonsI hope this helps!! :)
Based on the pattern, what are the next two terms of the sequence?
Answer:
33 , 39
Step-by-step explanation:
given
9 , 15 , 21 , 27
there is a common difference between consecutive terms, that is
15 - 9 = 21 - 15 = 27 - 21 = 6
to obtain terms in the sequence add 6 to the preceding term
27 + 6 = 33
33 + 6 = 39
the next two terms are 33 and 39
(Algebra) Can anybody help me with this please and thank you
The seven inner triangles in the picture are isosceles. The larger, outer triangle is also isosceles.
a. What is the value of each angle in the picture in terms of a?
b. Jimothy notices that the leading coefficient of a in one triangle is one more than the previous triangle. Why is this, can you explain to limothy why this occurs?
Answer:
a. The angles in the picture are: a, 2a, 2a, 3a, 3a, 4a, 4a, 5a.
Step-by-step explanation:
Can someone answer with steps and explanation? Thanks.
Answer:\(\color{yellow}{}\)
∆ABC
∆DEF
∆ABC
<C
<D
<X
BE>
CF>
AD>
34>
x9×>
A=3.7
Please hurry I need help with this one this needs to be graphed I will give you brainlest if you are correct
Answer:
I HAVE THE same question i need helpp ty ;/
Step-by-step explanation:
A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent
Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in.
=============================================================
Explanation:
Let's say the top and bottom sides are 10 inches and (x+2) inches.
If this was a parallelogram, then those opposite sides must be parallel and the same length. So x+2 = 10 which leads to x = 8 after subtracting 2 from both sides.
Now let's consider the other pair of opposite sides (x+5) and (2x-3), which would be the left and right sides. Set them equal to one another and solve for x.
x+5 = 2x-3
x-2x = -3-5
-x = -8
x = 8
We arrive at the same x value, which confirms we do have a parallelogram.
Use this x value to find the unknown sides
x+2 = 8+2 = 10
x+5 = 8+5 = 13
2x-3 = 2(8)-3 = 13
This parallelogram has sides of 10, 13, 10, 13
It might be helpful to think of a 10 by 13 rectangle. However, the parallelogram may or may not be a rectangle.
79%
3rd
Her monthly salary is twice the sum of her husband's salary and four. Her monthly
salary is also equal to four more than four times his salary. How much does the
husband make a month? Note the husband's monthly salary is in terms of thousand
dollars.
9514 1404 393
Answer:
0
Step-by-step explanation:
The two expressions for her salary can be equated:
2h +4 = 4 +4h
0 = 2h . . . . . . . . subtract 2h+4 from both sides
h = 0 . . . the husband's salary is zero dollars per month
Answer:
$2000
Step-by-step explanation:
A ladder of length (2x+6) feet is positioned x feet from a wall. If the ladder reaches a height of (2x+4) feet along the wall. Find the longest leg.
A. 10ft
B. 24ft
C. 26ft
D. 13cm
Using the Pythagoras theorem, the longest leg has the length of 24 feet.
Given that,
A ladder of length (2x+6) feet is positioned x feet from a wall.
Height of the ladder = (2x + 6) feet
Distance of ladder from the wall = x feet
Height of the wall that the ladder is placed = (2x + 4) feet
These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.
Longest leg is (2x + 4) feet
Using the Pythagoras theorem,
(2x + 6)² = (2x + 4)² + x²
4x² + 24x + 36 = 4x² + 16x + 16 + x²
4x² + 24x + 36 = 5x² + 16x + 16
x² - 8x - 20 = 0
(x - 10) (x + 2) = 0
x = 10 or x = -2
x = 2 is not possible.
So x = 10
Longest leg = 2x + 4 = 20 + 4 = 24 feet
Hence the length of the longest leg is 24 feet.
Learn more about Pythagoras theorem here :
https://brainly.com/question/343682
#SPJ1
I need help I don’t know if it is a yes or a no
The problem is
\(-40+7p=3+5(8p-2);p=-1\)To solve this problem, we need to replace the numerical value of p, and see if it satisfies. After replacing the value, we will solve the parenthesis first
\(-40+7(-1)=3+5(8(-1)-2)\)\(-40-7=3+5(-8-2)\)\(-47=3+5(-10)\rightarrow-47=3-15\rightarrow-47=-12\)As you can observe, the value -1 for p doesn't satisfy the equation, that means, it's not a solution.
Therefore, the right answer is NO.150 pounds to 135 pounds
Answer:
15 pounds
Step-by-step explanation:
150-135
Answer:
15 pounds
Step-by-step explanation: