Given: In this figure, `/_AED` and `/_BEC` form a pair of vertical angles. Prove: `/_AED ~= /_ BEC `. Match each statement to its corresponding reason. Drag the items on the left to the correct location on the right.
Answer:
Step-by-step explanation:
The matched statement to its corresponding reason for the given alternate interior angles as:
Given: Let points A, B, and C form a triangle.
definition: Let stackrel(harr)(DE) be a line passing through B, parallel to "bar(AC)", with angles labeled as shown.
Congruent angles: m∠1=m∠4, m∠3 = m∠5
Linear pair theorem: m∠4+m∠2+m∠5 = 180°
As per the shown figure,
Given:
Let points A, B, and C form a triangle.
Defining a parallel line and labeling angles:
Let stackrel(harr)(DE) be a line passing through B, parallel to "bar(AC)", with angles labeled as shown.
Alternate Interior Angles Theorem:
∠1=∠4
∠3 = ∠5
Congruent angles have equal measures:
m∠1=m∠4
m∠3 = m∠5
Definition of a straight angle and angle addition:
m∠4+m∠2+m∠5 = 180°
Substitution:
m∠1 + m∠2 +m ∠3 = 180°
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length of rope measures 8 3/4 km. If a piece of rope measuring 2 1/2 km was cut off, what length of rope remained? *
Answer:
6 1/4 simplified 25/4 decimal 6.25
Step-by-step explanation:
if the rope is 8 3/4 and you took away a piece that is equal to 2 1/2 which means you subtract them from each other to get your final answer of 6 1/4
4 x^2+ 4x-14 x=0
Solve this please, you will get brainLiest. Thank you :)
Answer:
x could be 0 or it could be 5/2
Step-by-step explanation:
Answer:
x= 5/2
Step-by-step explanation:
4x^2 + 4x - 14x = 0
subtract 4x from 14x because they are like terms
4x^2 - 10x=0
4x^2 = 0 + 10x
4x^2 = 10x
x^2/x = 10/4
x=10/4
x=5/2
A field is a rectangle with a perimeter of 1100 feet. The length is 300 feet more than the width. Find the width and length of the rectangular field
Answer:
Step-by-step explanation:
perimeter of rectangle = 1100
let breadth be x
length = 300 + x
perimeter of rectangle = 2(l + b)
1100 = 2(300 + x + x)
1100 = 2(300 + 2x)
1100 = 600 + 4x
1100 - 600 = 4x
500 = 4x
500/4 = x
125 = x
therefore breadth is 125 feet
length = 300 + 125
=425 feet
Answer:
The rectangular field is 425 feet by 125 feet.
Step-by-step explanation:
Let w represent the width of the rectangular field.
Since the length is 300 feet more than the width, the length can be modeled by the expression (w + 300).
The perimeter of a rectangle is given by the formula:
[tex]P=2(w+\ell)[/tex]
Where P is the perimeter and w and l are the width and length, respectively.
We are given that the perimeter is 1,100 feet. Substitute:
[tex]1100=2(w+\ell)[/tex]
Divide both sides by two:
[tex]550=w+\ell[/tex]
We know that l = (w + 300). So:
[tex]550=w+(w+300)[/tex]
Simplify:
[tex]2w=250[/tex]
Divide both sides by two. So, the width is:
[tex]w=125\text{ feet}[/tex]
Since the length is 300 feet more than the width, that means the length is 425 feet.
The rectangular field is 425 feet by 125 feet.
Which of the following is a characteristic of a plane
Answer:
I think you meant to add a list of answers but didn't so here's the characteristics of a plane: Flat, two dimensional, extends infinitely, and is assembled about multiple points and lines.
Step-by-step explanation:
Answer:
If you are taking the FLVS test it is "Two endpoints"
Step-by-step explanation:
Just took the test
hope it helps :)
HELPPPP MEEE
5x-7+3x and 3x-7+5x
equivalent or not equivalent
4y+9+3y and 3y+9+4y
equivalent or not equivalent
6z-2z+4 and 4+2z-6z
equivalent or not equivalent
Answer: See explanation
Step-by-step explanation:
1. 5x-7+3x and 3x-7+5x
5x - 7 + 3x
Collect like terms
5x + 3x - 7 = 8x - 7
3x-7+5x
Collect like terms
3x + 5x - 7 = 8x - 7
They're equivalent
2. 4y+9+3y and 3y+9+4y
4y + 9 + 3y
Collect like terms
4y + 3y + 9 = 7y + 9
3y + 9 + 4y
Collect like terms
3y + 4y + 9 = 7y + 9
They're equivalent
3. 6z-2z+4 and 4+2z-6z
6z - 2z + 4 = 4z + 4
4 + 2z - 6z = 4 - 4z
They're not equivalent
Can y’all help me on question 20?!
Answer:
yes I can help you but ???
PLS HELP ASAP! Find the Surface Area of the given figure.
THANK YOU!
Answer:
158 m^2
Step-by-step explanation:
l = 5 m, w = 3 m, h = 8 m
S.A. = [tex]2(lw+wh+lh)[/tex]
S.A. = 2{(5)(3) + (3)(8) + (5)(8)}
S.A. = 2(15 + 24 + 40)
S.A. = 2(79)
S.A. = 158 m^2
Hope this help!!!
Have a nice day!!!
write the equation of a circle with a center at (-1, -4) that passes through the point (-1,-1)
Answer:
Equation of the circle :
[tex](x+ 1)^2 + (y+4)^2 = 9[/tex]
Step-by-step explanation:
Equation of a circle with centre (a, b) and radius ,r :
[tex](x - a)^2 + (y-b)^2 = r^2[/tex] ------(1)
Here a = -1, b = -4
find radius:
Since the circle passes through (-1, -1) , the radius is the distance between the centre and the point.
[tex]distance, r = \sqrt{(-1 -(-1))^2 +(-4 -(-1))^2 }[/tex]
[tex]= \sqrt{9} = 3[/tex]
Substitute the values in (1) :
[tex](x - (-1))^2 + (y-(-4))^2 = 3^2\\\\(x+ 1)^2 + (y+4)^2 = 9[/tex]
16
The ideal width of a safety belt strap for a certain automobile is4 cm. An actual width can vary by at most 0.3
cm. Write an absolute value inequality for the range of acceptable widths, in centimeters.
IW - 41 303
0214
Answer:
|x - 4| ≤ 0.3
Step-by-step explanation:
The actual width = 4
Maximum variation, x = 0.3
Hence, the lowest width position based on actual width and possible variation is :
4 - 0.3 ≤ x ≤ 4 + 0.3
3.7 ≤ x ≤ 4.3
Help me pleaseeeeeeeee
Answer:
(f o g)(x) = 4x^4 - 24x^2 + 37
(g o f)(x) = 16x^4 + 8x^2 - 2
Step-by-step explanation:
f(x) = 4x^2 + 1
g(x) = x^2 - 3
(f o g)(x) = f(g(x)) = f(x^2 - 3) = 4(x^2 - 3)^2 + 1 =
= 4(x^4 - 6x^2 + 9) + 1
= 4x^4 - 24x^2 + 37
(g o f)(x) = g(f(x)) = g(4x^2 + 1) = (4x^2 + 1)^2 - 3 =
= 16x^4 + 8x^2 - 2
im so stressed rn i need help pls
Answer:
45.60
Step-by-step explanation:
12 × 51.60 = 619.20
1804.80 - 619.20 = 1185.60
1185.60 ÷ 26 = 45.60
The cost of a ticket for a child will be 45.60 dollars
Please help I need help with my hw
Answer:
a) 2.5 pounds of candy
b) 2.5 pounds of candy
[tex]\frac{0.5}{1} :\frac{y}{5}[/tex]
y × 1 = 0.5 × 5
y = 2.5
Step-by-step explanation:
1 = 5
1/2 = y or 0.5 = y
[tex]\frac{0.5}{1} :\frac{y}{5}[/tex]
y × 1 = 0.5 × 5
y = 2.5
Natalie just rented an apartment for $900 a month.she was told that the rent will increase 5.5% each year. About how much will her rent be in 7 years
Answer:
Step-by-step explanation:
the equation you write to solve this should be:
x = 900 (1 + 0.055)^7
x = 900 (1.055)^7
x = 900 (1.454679131133794609375)
x = 1,309.21
*** Note that the answer was rounded to the nearest hundredths digit. ********
what is the equation that matches this table?
Answer:
y = –1 + 3x
Step-by-step explanation:
To know which option is correct, we shall use the equation given in each option to see which will validate the table. This is illustrated below:
Option 1
y = –1x + 3
x = –2
y = –1(–2) + 3
y = 2 + 3
y = 5
This did not give the required value of y (i.e –7) in the table.
Option 2
y = 1 + 3x
x = –2
y = 1 + 3(–2)
y = 1 – 6
y = –5
This did not give the required value of y (i.e –7) in the table.
Option 3
y = –3 + 1x
x = –2
y = –3 + 1(–2)
y = –3 – 2
y = –5
This did not give the required value of y (i.e –7) in the table.
Option 4
y = –1 + 3x
x = –2
y = –1 + 3(–2)
y = –1 – 6
y = –7
This gives the required value of y (i.e –7) in the table.
Thus, the equation that matches the table is:
y = –1 + 3x
Given a mean of 21 and a standard deviation of 1.2, what is the z-score of 21?
36 and 60 as ratio //////// do not mind what I'm going to type on this sidehdshhdsdhdshjhsjdhsdhjd
36:60
= 18:30
= 9:15
= 3:5
A man is walking down a very long flight of
steps in a stairwell. He begins at 136 feet
above ground level. He walks down with a
steady rate such that he gets closer to the
ground floor at a rate of 2.8 feet per second.
The man is going to exit the stairwell at the
4th floor, which is the height of 42 feet above
ground level. Let t be equal to the number of
seconds it takes for him to get to the 4th floor.
Set up and solve the equation to find the value
of t. Round your answer to the nearest tenth
of a second.
Answer:
33.6 seconds
Step-by-step explanation:
if he begins at 136 feet and wants to go to 42 feet, the distance is 94 feet
d = 94
r = 2.8
d = rt; solving this formula for 't':
t = d/r
t = 94/2.8
t = 33.6 seconds
A railway station measures 200 meters in length. How long is it?
A. 10,000 cm
B. 12,000 cm
C. 15,000 cm
D. 20,000 cm
Work out the value of 8³
Answer:
512
Step-by-step explanation:
Write the product in simplest form: 1 2/3 x 3 4/5=
Answer:
19/3
Step-by-step explanation:
1 2/3 = (1*3 + 2)/3 = 5/3
3 4/5 = (5*3 + 4)/5 = (15 + 4)/5 = 19/5
5/3 * 19/5 = 19/3 The 5s cancel.
The simplest form is not obvious to me. I think the answer above is in simplest form, and I will put that below the answer above. But 6 1/3 is also possible.
Answer:
4 1/3
Step-by-step explanation:
1 [tex]\frac{2}{3}[/tex] × 3 [tex]\frac{4}{5}[/tex] =
[tex]\frac{5}{3}[/tex] × [tex]\frac{19}{5}[/tex] =
[tex]\frac{95}{15}[/tex] = 4 [tex]\frac{5}{15}[/tex] = 4 1/3
Please help me solve this question and steps.Thank you.
9514 1404 393
Answer:
no
Step-by-step explanation:
The first step is to understand that the question is asking about the future value of series of payments. An appropriate formula is ...
P = A(n/r)((1 +r/n)^(nt) -1)
where P is the future value, A is the periodic payment made n times per year for t years. r is the annual interest rate.
The next step is to substitute the given values and do the arithmetic. Using the given values, we have ...
P = 250(12/0.056)((1 +0.056/12)^(12×2.5) -1) ≈ 8030.32
Shen will have accumulated about $8,030.32, which is not enough to meet his goal.
find the value of 3mm(m+y)
Answer:
Step-by-step explanation:
3mn (m+y)
= 3[tex]m^{2}[/tex]n + 3mny
Suppose that y varies directly with x and inversely with z; y = 27 when
x = 21, and z = 7. Write the equation that models the relationship. Then
find y when x = 25 and z = = 5.
The value of y is 45 when x = 25, z = 5 and the value of constant of proportionality is 9, and equation is y = 9x/z
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have:
y varies directly with x and inversely with z.
y ∝ x/z
Removing the proportional sign.
y = kx/z
k is the constant of proportionality.
Plug y = 27, x = 21, and z = 7 to get the value of k
27 = 21k/7
k = 9
y = 9x/z
Plug x = 25, and z = 5
y = 9(25)/5
y = 45
Thus, the value of y is 45 when x = 25, z = 5 and the value of constant of proportionality is 9, and equation is y = 9x/z
Learn more about the proportional here:
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Will mark Brainlest Help
find the domain and range in each of the following
Step-by-step explanation:
Domain: possible value of x
Range: possible values of y
Domain:
Given in the question
-1smaller or equal to x smaller or equal to 1
Range:
y is greater than 1, smaller than 3
[tex] \sqrt{ \frac{y - 1}{2} } = x \\ [/tex]
y cannot be smaller than 1
when substitute velue of x= 1 or negative 1
we get y=3 and any values between 1 and negative 1 when substitute in x, will give values of y in between 3 and 1.
first list all elements of x and y..
x= -1,0,1
y=2x^2+1
whenx=-1 y=2×-1^2+1=5
similarly, when x=0,y=1
x=1, y=5
therefore, domain=x={-1,0,1}
range=y={1,5}
Which of the following is not equal to a ratio of 5 to 2?
A. 25: 10 C.35: 15
B. 35: 14 D. 40:16
Answer:
C 35:15
Step-by-step explanation:
because 35:15 =5:3 so it is not equal to a ratio of 5 is to 2
Answer:
C
Step-by-step explanation:
If you simplify all the ratios, then you get the following:
A. 25/5 : 10/5 = 5:2
B. 35/7 : 14/7 = 5:2
C. 35/5 : 15/5 = 7:3
D. 40/8 : 16/8 = 5:2
bcore: 9/ 120 5/17 answered Question 7 You deposit $4000 in an account earning 7% interest compounded monthly. How much will you have in th account in 10 years? Submit Question
Answer:
8038.65
Step-by-step explanation:
[tex]4000(1+\frac{.07}{12})^{12*10}=8038.65[/tex]
HELPPPPPP don't troll ima report
Answer:
The x-coordinates for which the gradient of the curve is 5 is at x = -1/2 and x = 1/2.
Step-by-step explanation:
We have the function:
[tex]\displaystyle y=\frac{x^2 -1}{x}[/tex]
And we want to find the x-coordinates for which the gradient (or slope) at the point is 5.
The gradients of a curve at a point is given by its derivative. Find the derivative:
[tex]\displaystyle \frac{dy}{dx}=\frac{d}{dx}\left[\frac{x^2-1}{x}\right][/tex]
Use the quotient rule:
[tex]\displaystyle \frac{dy}{dx}=\frac{(x^2-1)'(x)-(x^2-1)(x)'}{(x)^2}[/tex]
Simplify:
[tex]\displaystyle \frac{dy}{dx}=\frac{(2x)(x)-(x^2-1)(1)}{x^2}[/tex]
Simplify:
[tex]\displaystyle \frac{dy}{dx}=\frac{x^2+1}{x^2}[/tex]
Since the gradient is 5, substitute 5 for dy/dx and solve for x:
[tex]\displaystyle 5=\frac{x^2+1}{x^2}[/tex]Multiply both sides by x² (x ≠ 0):
[tex]5x^2=x^2+1[/tex]
Subtract x² from boths sides:
[tex]4x^2=1[/tex]
Solve for x:
[tex]\displaystyle x=\pm\sqrt{\frac{1}{4}}=\frac{1}{2}\text{ or } -\frac{1}{2}[/tex]
So, the x-coordinates for which the gradient of the curve is 5 is at x = -1/2 and x = 1/2.
PLS HELP!! WILL GIVE BRAINLIEST!!! >.<
Write one function for each house to describe the value of the house f(x), in dollars, after x years.
straightAnswer:
Step-by-step explanation:
The strategy would be to look for the equations of lines that passes for the points. it can be done but it's a hard work. I prefer to use a calc sheet . You can se that house 2 has a perfect fit to data because it has a [tex]R^2=1[/tex], however house 1 does not have a perfect fit, [tex]r^2=0.99..[/tex] altough it is a very good fit, in the image you can see the corresponding equations
pls help me do this question but pls don't get it wrong this is my attempt
Answer: (c)
Step-by-step explanation:
Given
The function is [tex]y=-x^2+6x-4[/tex]
Range of a function describes the values y can take
from the graph it is clear that the maximum value of y is 5
[tex]\therefore y\leq5[/tex]
Hence. option (c) is correct.