Answers
(A) n=w by the corresponding angles theorem.
(B) This is the correct answer. n=s by the vertical angles theorem and s and x are supplementary by the same-side interior angles theorem. Thus, n and x are supplementary and not always equal.
(C) n=z by the alternate exterior angles theorem.
(D) s=w, so (s+w)/2 = (s+s)/2 = s. Since n=s by the vertical angles theorem, n=s.
(E) n and w are equal by the corresponding angles theorem, and w and y are supplementary as they form a linear pair. Thus, n+y=180, and it follows n=180-y.
Related Questions
Find the value of x ??
A. 31
B. 5
C. 11
D. 25
Answers
PLEASE ANSWER ASAP!!!!!!!
A cheesecake has equally sized slices. Each slice is a different flavor. The diameter of the cheesecake is 10 inches, and the area of the slice of blueberry cheesecake is 25π16 square inches.
How many slices does the cheesecake have?
Answers
A cheesecake has equally sized slices. Each slice is a different flavor. The cheesecake has 12 slices.
What is the area of the circle?
The area of the circle is defined as the product of the pie and the square of the radius.
The area of the circle = πr²
In order to calculate the total area of the cheesecake, since it's a circle its area is given by:
cheesecake area = πr²
cheesecake area = π(10/2)² = π(5)²
cheesecake area = 25 π square inches
Therefore the number of slices is the ratio of the cheesecake total area by the area of each slice:
The number of slices = 25 π/(25 π/12)
The number of slices = 12
The cheesecake has 12 slices.
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Answer: 12 slices
Step-by-step explanation:
im a year late woo hoo
A square its diagonal length = 12cm then its area =
Answers
Answer:
72 sq cm
Step-by-step explanation:
For any rectangle, the diagonal is the hypotenuse of the right triangle formed by the base of the rectangle(b) and the height (h) of the rectangle
By the Pythogorean formula
[tex]d^{2} = b^{2} + h^{2}[/tex]
where d is the diagonal
For a square, all sides are equal so b = h = a and we get the formula
[tex]d^{2} = a^{2} + a^{2} = 2a^{2}[/tex]
[tex]a^{2} = d^{2} /2[/tex]
In this case we have d =12 so
[tex]a^{2} = 12^{2} /2 = 144/2 = 72[/tex]
But for a square of side a, the area is [tex]a^{2}[/tex] so 72 is the area
Answer:
72 square cm
Step-by-step explanation:
Area of square:[tex]\sf \boxed{\bf Area = \dfrac{d^{2}}{2}}[/tex] , here d is the length of the diagonal
[tex]\sf =\dfrac{12* 12 }{2}\\\\ = 6*2\\\\= 72 \ cm^2[/tex]
in an isosceles triangle, the perimeter is 75 cm and one of the sides is 25 cm. Find all its sides. can you find all angles of the triangles?
Answers
Answer:
all angles of the triangles is 60
Step-by-step explanation:
the perimeter = 2*side of an isosceles triangle + bottom edge
----> bottom edge = the perimeter - 2*side of an isosceles triangle =25
----> This is an equilateral triangle ----> all angles of the triangles is 60
Taylor walks 7 miles in 2 hours. At what unit rate does Taylor walk?
O A.
OB.
O C.
O D.
2 miles
7 hours
7/2 miles
1 hour
7 miles
2 hours.
2 hours
7 miles
SUBMIT
Answers
Answer:
B. 7/2 miles per 1 hour
Step-by-step explanation:
The unit rate in this case ,means ,
the number of miles for every 1 hour
Since Taylor walks 7 miles in 2 hours
Then
He walks 7/2 miles in 1 hour
Thus
The unit rate that Taylor walks at is :
7/2 miles per 1 hour
If T(x) = x + 0.14x, then find the value of T(290).
Answers
The value if T(290) is 330.6
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.
Given:
T(x) = x + 0.14x
T ( 290)= 290+ 0.14* 290
= 290+ 40.6
= 330.6
Hence, the value of T(290) is 330.6.
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Find x.
x + 30
3x-30
Answers
The bases of the trapezoid are parallel and the legs are congruent, which means the interior angles are congruent as well.
An equation can be set up where x+30 = 3x-30.
Add 30 to both sides (from right to left side); Subtract x from both sides (from left to right side).
60=2x
Divide both sides by 2 and:
30=x.
Here is a picture showing my work:
The table below shows the results of a survey that asked 1052 adults from a certain country if they favored or opposed a tax to fund education. A person is selected at
random. Complete parts (a) through (c).
(a) Find the probability that the person opposed the tax or is female.
P(opposed the tax or is female) =
(Round to the nearest thousandth as needed.)
(b) Find the probability that the person supports the tax or is male.
P(supports the tax or is male) =
(Round to the nearest thousandth as needed.)
(c) Find the probability that the person is not unsure or is female.
P(is not unsure or is female)=
(Round to the nearest thousandth as needed.)
Answers
The complete options are P(opposed the tax or is female) = 0.28, b. P(supports the tax or is male) = 0.15, c. P(is not unsure or is female) 0.025.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
(a) The probability that the person opposed the tax or is female.
P(opposed the tax or is female) = 298 / 1052 = 0.28
(b) The probability that the person supports the tax or is male.
P(supports the tax or is male) = 168/1052 = 0.15
(c) The probability that the person is not unsure or is female.
P(is not unsure or is female) = 27 / 1052 = 0.025
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Please help asap thanks so much!
Answers
Answer:
see the attachment photo!
If the function f' has a continuous derivative on [0, c] then integral from 0 to c f"(x)dx=
Answers
The result follows from the fundamental theorem of calculus. Since [tex]f''(x)[/tex] is the derivative of [tex]f'(x)[/tex], we have
[tex]\displaystyle \int_0^c f''(x) \, dx = \boxed{f'(c) - f'(0)}[/tex]
(E)
Which table represents a proportional relationship? A 2-column table with 3 rows. Column 1 is labeled x with entries 4, 8, 18. Column 2 is labeled y with entries 6, 12, 26. A 2-column table with 3 rows. Column 1 is labeled x with entries 5, 20, 60. Column 2 is labeled y with entries 7, 28, 84. A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 18, 26. Column 2 is labeled y with entries 5, 7, 9. A 2-column table with 3 rows. Column 1 is labeled x with entries 3, 9, 15. Column 2 is labeled y with entries 2, 8, 14.
Answers
Answer:
X Y
5 7
20 28
60 84
This table shows the proportional relationship.
Step-by-step explanation:
The equivalent ratios of two variables known as proportional relationship.
Table 1: X Y Table 3: X Y
4 6 12 5
8 12 18 7
18 26 26 9
Ratio = 4:6 = 8:12 ≠ 18:26 Ratio = 12:5 ≠ 18:7 ≠ 26:9
Table 2: X Y Table 4: X Y
5 7 3 2
20 28 9 8
60 84 15 14
Ratio = 5:7 =20:28=60:84 Ratio = 3:2 ≠ 9:8 ≠ 15:14
Here we see table 2 shows the proportional relationship.
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If a person who is 5 feet tall throws a ball into the air, the path can be modeled using the table of values, where x represents the time in seconds and y is the height of the ball in feet. x y 0 5 1 6.75 2 8 3 8.75 4 9 5 8.75 which quadratic equation models the data in the table?
Answers
The quadratic equation is y = -0.15x² + 2x + 5.5 , Option D is the correct answer.
The complete question is
If a person who is 5.5 feet tall throws a baseball into the air, the path can be modelled using the table of values, where x represents the time in seconds and y is the height of the ball in feet.
(table is in the photo below)
Which quadratic equation models the data in the table?
y= −0.25x2 + 2x + 5.5
y= −0.35x2 + 2x + 5.5
y= −0.27x2 + 3x + 5.5
y= −0.15x2 + 2x + 5.5
The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5
What is an Equation ?When two algebraic expressions are linked with an equal sign , the expression formed is called an Equation.
The standard form of the Quadratic equation is
y = ax² + bx + c
here a, b and c are constants.
From the given data in the table
at point (0, 5.5)
5.5 = a(0)² + b(0) + c
at point (1, 7.35)
7.35 = a(1)² + b(1) + c
at point (2, 8.9)
8.9 = a(2)² + b(2) + c
The system of equations will be solved to determine the value of a,b and c
a= -0.15, b = 2, c = 5.5
Therefore , The quadratic equation is y = -0.15x² + 2x + 5.5 .
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Answer:
B) y= -0.25x^2 + 2x + 5
Step-by-step explanation:
I got it correct on test
PS: Can I have brainiest?
The mean height of 20 boys and 14 girls is 161 cm. The mean height of 14 girls is 151 cm. Find the sum of the heights of 14 girls.
Answers
Answer: 2114
Step-by-step explanation:
m = sum of the terms / number of terms
151 = a/ 14
14 x 151 = a
2114 = a
Answer:
21.14 m
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
here mean is 151 cm and count = 14 , then
[tex]\frac{sum}{14}[/tex] = 151 ( multiply both sides by 14 to clear the fraction )
sum = 14 × 151 cm = 2114 cm = 2114 cm ÷ 100 = 21.14 m
2. Given that 5-6 ÷ 5p = 125º, find the value of 1/2p
Answers
Answer: -50
Step-by-step explanation:
5 - 6 / 5p = 125 degrees
1/2p = ?
First, subtract 5 from both sides, that way, the 5 on the left side will cancel out.
-6/5p = 125-5 degrees
-6/5p = 120 degrees
now, multiply 5p on both sides.
-6 = 120 * 5p degrees
-6 = 600p degrees
divide 600 on both sides
-6/600 = p degrees
-0.01 = p degrees
p = -0.01
1/2p = 1 / -0.02 = -50
Hope I helped!
\How could Brent use a rectangle to model the factors of x2 – 7x + 6?
He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12.
He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6.
He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.
He could draw a diagram of a rectangle with dimensions x – 4 and x + 3 and then show the area is equivalent to the sum of x2, –4x, 3x, and half of –12.
Answers
Option third "He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x², –x, –6x, and 6' is correct.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have a quadratic expression to model the area of the rectangle:
= x² – 7x + 6
[tex]\rm =\left(x^2-x\right)+\left(-6x+6\right)[/tex]
[tex]=\rm x\left(x-1\right)-6\left(x-1\right)[/tex]
= (x - 1)(x - 6)
Thus, option third "He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x², –x, –6x, and 6' is correct.
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Pls help. !!!!!!!!!!!!!!!!!! (Give steps if you can)
Answers
Answer:
[tex]144 cm^{2}[/tex]
Step-by-step explanation:
Step 1: Find the true length of each side
We know that the perimeter is 56cm and the ratio of AD:AB:DC:BC is 5:12:6:5. It is safe to assume that this ratio is the simplified version, which means that if we multiply each of these numbers by a scale factor of [tex]x[/tex], then we get the true length of each side, so we would get [tex]5x, 12x, 6x, 5x[/tex] for the sides. We also know that when we add these numbers, we get the perimeter, which is 56. So, we can create the equation [tex]5x + 12x + 6x + 5x = 56[/tex]. Then, solve the equation for x, which would be 2, and go back and multiply each number with 2 to get the following:
AD = 5*2 = 10cm, AB = 12*2 = 24cm, DC = 6*2 = 12cm, BC = 5*2 = 10cm
Step 2: Calculate the Height
Now we know the lengths of each side, lets take a look at the formula for the area of a trapezium: [tex]\frac{base_{1} + base_2}{2}*height[/tex]. So, the next step would be to calculate the height. We can draw the height by drawing a line straight down from the vertex D and another straight down from the vertex C. These lines are both the height, and will be the exact same length. We can calculate that the height is 8 because AB is 24 cm, but the length from the height at vertex D to the height at vertex C is 12 cm, so that means that the base of each triangle is 12/2 = 6 cm. Then we can use Pythagorean theorem to figure out that the height is 8cm.
Step 3: Calculate the Area
Lastly, we can calculate the area. The formula is [tex]\frac{base_{1} + base_2}{2}*height[/tex]. In this case, the numbers would be [tex]\frac{12 + 24}{2} * 8 = 144cm^{2}[/tex]
I know this is a lot, so let me know if you have any questions!
A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answers
Answer:
This assumes that the question was meant to read:
"A triangle has side lengths of (7x−4) centimeters, (x+3) centimeters, and (3x+2) centimeters." And not "A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters."
If the revision is correct, the perimeter is 11x + 1 cm
=============================================
If the question was correctly written, then answer is:
50x^2 - 50x + 9y^2 + 12 y + 29
===============
Step-by-step explanation:
(7x-4) cm
+ (x+3) cm
+ (3x+2) cm
11x + 1 cm
If the question was correctly written as is, then:
(7x-4)(7x−4) = 49x^2 - 56x + 16
+(x+3)(x+3) = + x^2 + 6x + 9
+(3y+2)(3y+2) = +9y^2 + 12 y + 4
50x^2 - 50x + 9y^2 + 12 y + 29 cm
The perimeter of triangle 8x+ 3y + 1.
What is Perimeter of Triangle?The complete length of a triangle's boundary is referred to as its perimeter. A triangle is a polygon with three sides, and there are various varieties of triangles depending on how big the sides and angles are.
The basic formula used to calculate the perimeter of a triangle is:
Perimeter = sum of the three sides
Given:
sides of triangle (7x-4) centimeters, (x+3) centimeters, and (3y+2).
Now, perimeter of triangle
= 7x-4 + x+ 3 + 3y+ 2
=8x + 3y + 5-4
=8x+ 3y + 1
Hence, the perimeter of triangle 8x+ 3y + 1.
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the slope of the line is 4. which of the following is the point-slope form of the line
Answers
The point slope form of line is y+4 = -4( x+3)
What is point slope of form?The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.
Given:
m=4
We know the general form is
y - b = -4(x - a)
So, from the graph attached below
b= -4, a= -3
So, y-(-4)= -4(x-(-3))
y+4 = -4( x+3)
Hence, point slope form of line is y+4 = -4( x+3).
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In a group of 42 students, 9 study both Art and Biology.
10 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
help asap
Answers
The probability the student studies Art and
Biology is 0.2143.
Step-by-step explanation:
Denote the events as follows:
A = a students studies Art
B= a students studies Biology
The information provided is:
N = 42
n (An B) = 9
n (A' n B) = 10
n (A' n B') =7
Then the number of students who study Art
but not Biology is:
n(An B') = N -n (An B) -n (A' nB) - n (A'n B')
= 42 - 10 - 7 - 9
= 16
The number of students who study Art but
not Biology is 16.
Compute the probability the student studies
Art and Biology as follows:
P(ANB)
n(ANB)
= 0.2143
Thus, the probability the student studies Art
and Biology is 0.2143.
the rock cycle is an explanation of the conservation of
A. Magma
B. Matter
C. Sediment
Answers
Answer:
B. Matter
Explanation:
When rocks break down and become smaller ex: mountains eventually becoming sand, the matter does not disappear or get destroyed, it becomes smaller particles, but the matter is always preserved.
Hope It Helps!!!
Answer:
matter
Step-by-step explanation:
The conservation of matter states that
matter is neither created nor endorsedHere big matters gets down into smaller pieces
but they are not destroyed
Which points are solutions to the linear inequality y < 0.5x 2? select three options. (–3, –2) (–2, 1) (–1, –2) (–1, 2) (1, –2)
Answers
The points which are solutions to the linear inequality are; (-3, -2), (-1, -2) and (1, -2)
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
For (–3, –2)-2 < 0.5(-3) + 2
-2 < 0.5 (satisfied)
For (–2, 1)1 < 0.5(-2) + 2
1 < 1 (Not satisfied)
For (–1, –2)-2 < 0.5(-1) + 2
-2 < 1.5 (Satisfied)
For (–1, 2)2 < 0.5(-1) + 2
2 < 1.5 (Not satisfied)
For (1, –2)-2 < 0.5(1) + 2
-2 < 1.5 (Satisfied)
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Help... will give you 20 points if you answer
Answers
Answer:
(-3,5) (-3,3) (-8,3)
Step-by-step explanation:
Answer:
(-3,5) , (-3,3) , (-8,3)
Step-by-step explanation:
bye, bye!!
_3x_13 =_7x+15 what is the an
Answers
Answer:
x = -7Step-by-step explanation:
_3x_13 =_7x+15 what is the anSWER?
assuming that the underscore is a minus and you are looking for the x value.
-3x - 13 = -7 + 15
-3x = -7 + 15 + 13
-3x = 8 + 13
-3x = 21
x = -7
---------------
check
-3 * (-7) - 13 = -7 + 15
21 - 13 = 8
8 = 8
the answer is good
the money in a bank account increased from $400 to $1000.
copy and complete these sentences.
a) $1000 is ........% of $400.
b) the money has increased by .......%
Answers
Answer:
a).1000/400*100
= (1000*100)/400
= 100000/400 = 250
b).600
Step-by-step explanation:
a). Percentage solution with steps:
Step 1: We make the assumption that 400 is 100 % since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100 % = 400.
Step 4: In the same vein, x % = 1000 .
Step 5: This gives us a pair of simple equations:
100 % = 400(1).
x % = 1000(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100 % / x % = 400/1000
Step 7: Taking the inverse (or reciprocal) of both sides yields
x/100 = 1000/400
x = 250 %
Therefore, 1000 is 250 % of 400.
b) $1000-$400= 600
= $400+$600=$1000
what is 52 + 6 × (5 − 3) − 10⁄2 =
Answers
Answer: 59
Step-by-step explanation:
Order of operations.
52+6x(2)-5
52+12-5
64-5
59
Step-by-step explanation:
52+6×2-10/2
52+6×2-10÷2
52+6×2-5
52+12-5
64-5 =59
my answer is 59.
Which relation is a function?
{(-4,-7), (-9, 5), (4, -2), (-9, 0)}
{(-7, -7), (-2, 5), (−1, 6), (-2, −5)}
{(0, 1), (3, 2), (5, -3), (0, 2)}
{(-3, -2), (-1, 3), (0, -2), (3, 4)}
Answers
Answer:
Here's a little trick I learned in 8th grade. The first numbers don't matter all that matters are the 2nd numbers, and if you have 2 of the same kind of numbers then it's not a function so your answer would be B.
An amusement park charges $7 for adults, $2 for youths, and $0.50 for children. if 150 people enter and pay a total of $100, find the numbers of adults, youths, and children. [hint: these numbers are nonnegative integers.]
Answers
The number of adults are 2 . the number of youths are 8
Given charge $7 for adults , $2 for youth and $0.50 for children
Let the number of adults , youths and children be x , y and z
Now it is given that there is total pay of 100
Therefore the equation formed is
7x + 2y +0.50 = 100
Now it is also given that 150 people enter
Therefore
x+y+z=150
x+y+z =150
14x+4y+z=200
Using argument matrix
[tex]\left[\begin{array}{ccc}1&1&1\\14&4&1\end{array}\right] \left[\begin{array}{ccc}150\\200\end{array}\right][/tex]
Corresponding system equation is
x+y+z=150
y+(13/10)z=190
Take z = m (arbitary)
y = 190 - 1.3 m
x = 150 - y
m = 140 x = 2 and y = 8
Hence The number of adults are 2 . the number of youths are 8
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Which expression represents the product of negative three-fourths x and –8x?
Answers
Answer:
6x²
Step-by-step explanation:
[tex]-\frac{3}{4} x\times \left( -8x\right) =\frac{3}{4} x\times 8x[/tex]
[tex]=\frac{3}{4} \times 8\times x\times x[/tex]
[tex]=\frac{24}{4} \times x^{2}[/tex]
[tex]=6x^2[/tex]
Help needed
a hunid points :)
Answers
Answer:
the answer is C, 5a^6b
Step-by-step explanation:
Which is the graph of the equation y-1=2/3(x-3)?
Answers
Answer:
The right graph
Step-by-step explanation:
Because the equation is in point slope form, we know it passes through (3,1) and has a slope of 2/3.
