Answers
According to question as both side are equal so it is an isosceles triangle and the value of X is 18.
What are the properties of Isosceles Triangle?An isosceles triangle is a triangle with two sides of equal length. Some properties of an isosceles triangle include:
The two equal sides are called the legs of the triangle and the remaining side is called the base.The angle between the legs is always equal to the angle between the base and one of the legs.The altitude (perpendicular line segment from a vertex to the opposite side) bisects the base of the triangle.The median (line segment from a vertex to the midpoint of the opposite side) and the altitude from the same vertex to the opposite side are also congruent.The circumcenter (center of the circle that passes through all three vertices) of an isosceles triangle is always located at the midpoint of the line connecting the two vertices of the congruent sides.The line that is bisecting the angle between the congruent sides (also known as the angle bisector) also bisects the side opposite to that angle.so In this triangle ,
The mid point on horizontal side is given and 5m line cut the mid point of both the sides.
both side are equal as it is an isosceles triangle.
and given in the question,
side/2 =9
and one side is equal to x.
and both sides are equal,
therefore
side = 9*2 = 18
so the value of x = 18.
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Related Questions
1. What property could you use to show that these two triangles are congruent? QRP XWY
Answers
The property that could be used to determine that the triangles are congruent is the SSA congruent theorem
How to determine the congruent propertyFrom the question, we have the following parameters that can be used in our computation:
Triangles = QRP and XWY
On the triangles, we can see that:
Two corresponding sides on both triangles are marked with I and IIThe triangles have a pair of corresponding anglesThis means that we make use of the SSA congruent theorem
The SSA congruent theorem implies that if two sides and an angle not included between them are respectively equal to two sides and an angle of the other than the two triangles are equal.
In this case, we have
Congruent sides: RQ and HG & PR and HF
Congruent angles: Angles Q and G
Hence, the additional information on the congruency of the triangles is the SSA theorem
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The midpoint M of the line segment AB is (1,3). If the coordinate of B is (-5,7), what is the coordinate of the point A
Answers
Answer:
( 7,-1 )
Step-by-step explanation:
a(n)=
2
3
(−2)
n−1 what is the 3rd term in sequence
Answers
The third term of the geometric sequence will be 8/3.
What is a geometric sequence?A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.
Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The equation is given below.
aₙ = (2/3) · (-2)ⁿ⁻¹
The third term of the geometric sequence will be given as,
a₃ = (2/3) · (-2)³⁻¹
a₃ = (2/3) · (-2)²
a₃ = (2/3) · (4)
a₃ = 8 / 3
The third term of the geometric sequence will be 8/3.
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Write an expression to represent: 2 times the difference of x and 3
Answers
Answer:
2(x-3)
Step-by-step explanation: 2 is being multiplied by the difference (subtraction) of x-3.
two numbers have a sum of 33. if one of the numbers is -37 , what is the other number?
Answers
Answer:
70
Step-by-step explanation:
Well -37 plus 70 would give you 33, so therefore 70 is the answer. You can also check your answer by subtracting -37 from 33 which would give you 70.
PLEASE FAST
Solve the equation for t.
4(t – 2.9) ≥ 3.6
t ≥ 17.3
t ≥ 11.5
t ≥ 3.8
t ≥ 1.6
Answers
Answer:3.8
Step-by-step explanation:
guys please help its due today!
Answers
a) Let x be the number of games played and let y be the total price.
What in mathematics is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
(b)
Pin Lanes: y = 10 + 3x
Strike Lanes: y = 4 + 6x
(c) To find the number of games at which the total price is the same at both places, we can set the two equations equal to each other and solve for x:
10 + 3x = 4 + 6x
6x = 6
x = 1
So the total price would be the same if you played 1 game at both Pin Lanes and Strike Lanes.
(d) Since you want to play 4 games, you can substitute x = 4 into the equation for each place:
Pin Lanes: y = 10 + 3(4) = 22
Strike Lanes: y = 4 + 6(4) = 28
Since 4 games at Pin Lanes costs $22 and 4 games at Strike Lanes costs $28, it would be cheaper to play at Pin Lanes.
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-POINTS-
(4IZ0 Don’t even try.)
Answers
Answer:
Step-by-step explanation:
axf
25.05+36.05 equal the answer
Answers
Answer:
61.1
Step-by-step explanation:
Here, we simply add the two numbers together.
25+36=61
0.5+0.5=1
so, the answer is 61.1
for values of x f(x) = 2x-3 and g(x)= x^2+1 find gf(x)
Answers
Answer:
g(f(x)) = 4x² - 12x + 10
Step-by-step explanation:
to find g(f(x)) substitute x = f(x) ino g(x)
g(f(x))
= g(2x - 3)
= (2x - 3)² + 1 ← expand parenthesis using FOIL
= 4x² - 6x - 6x + 9 + 1
= 4x² - 12x + 10
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(7) = -1 B. g(-4) = -11 C. g(0) = 2 D. g(-13) = 20
Answers
Answer: B
Step-by-step explanation:
13. Communicate and Justify During a chemistry experiment, Julian
records how the temperature changes over time using ordered
pairs (time in minutes, temperature in °C).
(0, 15), (5, 20), (10, 50), (15, 80), (20, 100), (25, 100)
a. Which variable is the independent variable?
The dependent variable? Explain in need answerssss
Answers
Julian uses ordered pairs to record the temperature variations over time during a chemistry experiment (time in minutes, temperature in °C). (0, 15), (5, 20), (10, 50), (15, 80), (20, 100), (25, 100) (25, 100).
What do you meant by depend and independent variable ?It is the cause that is the independent variable. Its worth is unrelated to other study variables. The effect serves as the dependent variable. The independent variable's modifications determine its value. It is a thing that is dependent on other things. The amount of study you did, how much sleep you had the night before the test, or even how hungry you were when you took it.
Could all affect your test result, which makes it a dependent variable. The dependent variable is impacted by the independent variable. For instance, your exam results are influenced by how much sleep you get (an independent variable) (dependent variable). This is understandable, but Ex. How much sleep you get depends on your test results.
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A linear function as a rule shown
Answers
The equation that represents the linear function is y = 11 + 7x.
What is the solution to the linear equation?
The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
We have given the rules:
x: a number
y: 11 more than 7 times x.
Linear equations are the equations of degree 1. It is the equation for the straight line.
The standard form of the linear equation is ax+by+c =0,
where a ≠ 0 and b ≠ 0.
From the given conditions we can form the linear equation:
That is,
y = 11 + 7x,
Hence, the equation that represents the linear function is y = 11 + 7x.
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What Is the slope for these two points (3,-2) and (5,6)?
Answers
Answer:
4
Step-by-step explanation:
m = Δy/Δx = (6-(-2))/(5-3) =8/2 = 4
(30 points) write the equation of line a that goes through points (3,2) and has a y-intercept of 1
Use the equation that you wrote for line a to write an equation for line b which is perpendicular to line 8 and goes through the point (-4,2)
Answers
To write the equation of a line that goes through the point (3,2) and has a y-intercept of 1, we can use the point-slope form of a line. The point-slope form is:
y - y1 = m(x - x1)
Where (x1, y1) is a point on the line, and m is the slope of the line. The slope is a measure of the steepness of the line, and it is calculated as the rise (the change in y) over the run (the change in x).
To find the slope of the line, we can use the two points (3,2) and (3,1). The rise is 1 - 2 = -1 and the run is 3 - 3 = 0, so the slope is -1/0, which is undefined. This means that the line is a vertical line and does not have a slope.
Since the line is a vertical line, we cannot use the point-slope form to write its equation. Instead, we can use the slope-intercept form, which is:
y = mx + b
Where m is the slope of the line and b is the y-intercept. In this case, the slope is 0 (since the line is vertical), and the y-intercept is 1, so the equation of the line is:
y = 0x + 1
To write the equation of a line that is perpendicular to line a and goes through the point (-4,2), we need to find the slope of line a. Since line a is a vertical line, its slope is undefined. However, we know that the slope of a line perpendicular to it must be 0.
Using the point-slope form, the equation of line b is:
y - 2 = 0(x - (-4))
Simplifying, we get:
y = 0x + 2
So, the equation of line b is:
y = 0x + 2
The length of a rectangle is twice its width. The perimeter is 30. Find it’s dimensions.
Answers
Answer:
Length = 10 Width = 5Step-by-step explanation:
Let's assume that,
→ Length = 2x
→ Width = x
→ Perimeter = 30
Perimeter of rectangle formula,
→ P = 2(L + W)
Now the value of x will be,
→ P = 2(L + W)
→ 2(2x + x) = 30
→ 2 × 3x = 30
→ 6x = 30
→ x = 30/6
→ [ x = 5 ]
Then required dimensions are,
→ Length = 2x = 2 × 5 = 10
→ Width = x = 5
Hence, these are the dimensions.
Length = 10
width = 5
Given-
Perimeter =30
l=2b........................................................ i
so
P =2(l+b)
here
30 = 2(2b +b)... ... .............. as l=2b from i
30 = 2*3b
30 = 6b
b= 5
which implies l= 2*5 --->10............................................ from i
so
Length = 10
width = 5
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Find the sketch the domain of the function f(x,y,z) = ln(144 - 9x² - 16y² - z²)
Answers
The domain of the function f(x, y, z) = ln(144 − 9x² − 16y² − z²) is x ∈ (-4, 4), y ∈ (-3, 3) and z ∈ (-12, 12) which forms an ellipsoid.
What is the domain?Domain of a function is the set of all values possible for the input parameters for real output parameter or output parameter in given range.
Given the function as f(x, y, z) = ln(144 − 9x² − 16y² − z²)
For f(x, y, z) to be real, the function 144 − 9x² − 16y² − z² should be greater than 0. So,
144 − 9x² − 16y² − z² > 0
9x² + 16y² + z² < 144
x²/ 4² + y²/ 3² + z²/ 12² < 1
Therefore, the domain is an ellipsoid.
Therefore x ∈ (-4, 4)
y ∈ (-3, 3)
z ∈ (-12, 12)
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S+S+S+S AND 4S I don't know it could someone help me who knows it is it equivalent or not equivalent
Answers
Yes, the expressions S+S+S+S AND 4S as required in the task content are equivalent expressions.
Are the given expressions equivalent expressions?It follows from the task content that the expressions given S+S+S+S AND 4S are to be compared and determine if they are equivalent or not.
Since the given expressions are; S + S + S + S and 4S.
S + S + S + S can be written by factorisation as;
S ( 1 + 1 + 1 + 1 ) = S (4)
= 4S.
On this note, it can be inferred that the two expressions given are equivalent expressions.
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approximate v46 to the nearest hundredth
Answers
Answer:
6.78
Step-by-step explanation:
Coupon A: $16 rebate on a $55 jacket
Coupon B: 35% off a $55 jacket
Coupon A gives the lower price ?
The price of coupon A is ? less than the price with Coupon B
Coupon B gives the lower price?
The price of coupon B is ? less than the price with Coupon A
Answers
Yes. Coupon B gives the lower price.
The price of coupon B is less than the price with Coupon A
How to determine which price is lower?Discount is defined as a deduction from the usual cost of something
Since there is a $16 rebate on a $55 jacket using Coupon A. The price when Coupon A is used will be:
price using Coupon A = $55 - $16 = $39
Since Coupon B gives a 35% discount on the price of the jacket. The price when Coupon B is used will be:
price using Coupon B = $55 - (0.35×55) = $35.75
Thus, the price of coupon B is less than the price with Coupon A
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A machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long. What is the total length needed in inches?
Answers
The total length needed in inches will be 490.5 inches.
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Since the machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long The total length needed in inches will be:
= (3 ft 4 7/8 inch × 12)
Note that 1 feet = 12 inches
= (12 × 3) + (4 7/8) × 12
= (36 + 4.875) × 12
= 490.5 inches
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There are t counters in a box.
Write an expression for the total number of counters.
Answers
Answer: 4t
Step-by-step explanation:
You just do t times the amount of boxes you have, which is 4. So you have 4 times t, but in algebra, we don't write the multiplication sign. So the expression would be written as 4t. Yw!
Also please tell me if I was unhelpful/incorrect, thanks!
please help me thank you so much
Answers
Answer:
12(7-3) and 2-0.5
Step-by-step explanation:
All the rest are either terms or equations. The top left one is a term, and all the rest have equal signs, so they're equations. Only the bottom left and bottom right ones are expressions.
I just need help appreciate it and have a great day
Answers
On solving the provided question, we can say that - by doing the fraction we have 3/12 = 1/4
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
balloons is 12
blew up is 1/3
friend blew up is 5
1/3*12 = 4
4+5 = 9
3/12 = 1/4
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solve for inequality for graph y + 4 > 1/2 {x + 2}
Answers
Answer:
y > X/2 - 3
I think that's the answer.
pls help due tomorrow
Answers
On solving the provided question, we can say that - by doing the equation, we have -12 +18 = p + 7 => 6 = p + 7 => p = -1
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
-12 +18 = p + 7
6 = p + 7
p = -1
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After 9 years in an account with a 3.9% annual interest rate compounded continuously, an investment is worth a total of $17,757.16. What is the value of the principal investment? Around the answer to the nearest penny.
Answers
The value of the principal investment would be = $12,500.75
What is a principal investment?A principal investment is defined as the capital amount of money that is being deposited into an account with the purpose of receiving interest for a particular period of time.
The years of investment (t) = 9 years
The annual interest rate (r) = 3.9% = 3.9/100= 0.039
The total worth of the investment (A) = $17,757.16
Then, solve the equation for P
P = A / ert
P = 17,757.16 / e(0.039*9)
P = $12,500.75
Therefore, the principal amount that is needed which can be compounded continuously to get the total amount given = $12,500.75
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A measurement of 50.8 centimeters is equivalent to how many inches? A. 25 B. 12 C.20 D. 10
Answers
Answer: C. 20
Step-by-step explanation:
1 inch is equal to 2.54 cm.
So we have to divide the amount of centimeters given by how many centimeters are in an inch to find how many inches.
50.8 ÷ 2.54 = 20
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In 2000 a company increased its workforce by 60%. In 2001 it decreased its workforce by 60%. How does the size of its workforce at the end of 2001 compare with the size of the workforce at the beginning of 2000?
A) It is 36% lower.
B) It is 6% lower.
C) It is unchanged.
D) It is 36% higher.
I know that the answer is A, but I'm having trouble figuring out the steps. Can anyone help me?
Answers
Therefore, the solution of given problem of percentage indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.
A percentage is defined.A% is a number that expresses a quantity as a percentage of 100; it can also be expressed as a decimal or a fraction. Placing 100 in the denominator and the percentage value in the numerator will allow you to convert a percentage to a fraction.
Here,
Before any changes,
let w represent the size of the workforce. There are:
50 percent growth is equivalent to increasing by 1.5, therefore w(2000) = w(1999) * 1.5
A 50% drop is equal to dividing by 1.5, therefore w(2001) = w(2000)/1.5
Reverse the first equation to create the second equation.
w(2001) = w(1999) * 1.5/1.5
Remove the 1.5 from the top and bottom so that w(2001) = w (1999)
Therefore, this indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.
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is it possible to have an inscribed circle by using centroid as the centre ?
Answers
Answer:
Yes, it is possible
Step-by-step explanation: