How to prove the vertical Angles Theorem
Answers
Answer:
see below
Step-by-step explanation:
Angles opposite each other when two lines cross. (see attached)
in the attached example, the angle a° and b° are vertical angles.
Step-by-step explanation:
[tex]
\underline{\bf{Given\::}}
Given:
\underline{\bf{To\:find\::}}
Tofind:
\underline{\bf{Explanation\::}}
Explanation:
\boxed{\bf{\frac{1}{f} =\frac{1}{v} -\frac{1}{u} }}}}
\begin{gathered}\longrightarrow\sf{\dfrac{1}{-10} =\dfrac{1}{v} -\dfrac{1}{-30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-10} +\dfrac{1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{-3+1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\cancel{\dfrac{-2}{30} }}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-15} }\\\\\\\longrightarrow\sf{v=-15\:cm}\end{gathered}
⟶
−10
1
=
v
1
−
−30
1
⟶
v
1
=
−10
1
+
30
1
⟶
v
1
=
30
−3+1
⟶
v
1
=
30
−2
⟶
v
1
=
−15
1
⟶v=−15cm
\boxed{\bf{M \:A \:G \:N\: I \:F \:I \:C\: A\: T \:I \:O\: N :}}
MAGNIFICATION:
\begin{gathered}\mapsto\sf{m=\dfrac{Height\:of\:image\:(I)}{Height\:of\:object\:(O)} =\dfrac{Distance\:of\:image}{Distance\:of\:object} =\dfrac{v}{u} }\\\\\\\mapsto\sf{m=\cancel{\dfrac{-30}{-15}} }\\\\\\\mapsto\bf{m=2\:cm}\end{gathered}
↦m=
Heightofobject(O)
Heightofimage(I)
=
Distanceofobject
Distanceofimage
=
u
v
↦m=
−15
−30
↦m=2cm
Thus;
The magnification will be 2 cm .
[/tex]
Related Questions
4 The scale drawing represents the aerial view of a building. The actual building has
a perimeter of 48 m. Draw another scale drawing of the building using the scale
2 m to 1 unit length from the building to the drawing,
Answers
Answer:
Step-by-step explanation:
The standard height from the floor to the bull's-eye at which a standard dartboard is hung is 5 feet 8 inches. A standard dartboard is
18 inches in diameter.
Suppose a standard dartboard is hung at standard height so that the bull's-eye is 11 feet from a wall to its left.
Samuel throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor.
Does Samuel's dart land on the dartboard?
Answers
Answer:
Yes, Samuel's Dart does land on the dartboard.
Step-by-step explanation:
The diameter of the dartboard = 18 inches
∴ The radius of the circle = 9 inches = 0.75 feet
The coordinate of the bull's-eye = 11 feet from the left wall, 5 feet 8 inches from the ground
∴ The coordinate of the bull's-eye = (11, 5.67)
The position of the dart Samuel throws = 11.5 feet from the left wall, 5.5 feet from the ground
∴ The coordinates of the position of the dart Samuel throws = (11.5, 5.5)
The equation for the area of a circle is given as follows;
(x - h)² + (y - k)² = r²
Where;
(h, k) = The coordinates of the center
r = The radius
Given that the bull's-eye is the center of the circle formed by the dartboard of radius 9 inches, we have;
(h, k) = The coordinates of the center
For the dartboard, we have;
(h, k) = The coordinates of the center = The coordinate of the bull's-eye = (11, 5.67)
h = 11, k = 5.67
∴ The equation of the circle formed by the dartboard = (x - 11)² + (y - 5.67)² = 0.75² = (3/4)² = 9/16
The square of the distance of the dart Michael throws from the bull's eye = (11.5 - 11)² + (5.5 - 5.[tex]\overline 6[/tex]7)² = 5/18
Therefore, given that the square of the distance of the dart Michael throws from the bull's eye < The square of the radius of the circle formed by the dart board and that the center of the, where the length of both the position of Samuel's dart and the radius of the circle formed by the dartboard are measured from the same point, (the center of the circle) we have;
The position of Samuel's dart is on the dart board
Therefore;
Yes, Samuel's Dart does land on the dartboard.
How many 9-inch ribbons can be cut from 112yards of ribbon? show work
Answers
Answer:
448 ribbons
Step-by-step explanation:
in order to find this, you need to convert the yards into inches. there are 36 inches is a yard (a yard is 3 feet and one foot is 12 inches ) so you would multiply 112 and 36 to find the total number of inches it woulde be. 112x36=4,032. Now that you know the total number of inches, divide it by 9 to find the total number of ribbions you can make.
4,032/9= 448
so you could make a total of 448 ribbons
Answer:
12.4
Step-by-step explanation:
Do 112 divided by 9
What are the x- and y-intercepts of the graph of 5x + y = 20?
x-intercept: 16
y-intercept: 0
x-intercept: 4
y-intercept: 20
x-intercept: 5
y-intercept: 1
x-intercept: 1
y-intercept: 5
Answers
x-intercept: 4
y-intercept: 20
Answer:
Step-by-step explanation:
x-intercept: 4
y-intercept: 20
Helpppppp I don’t understand
Answers
This means that angle 1 and angle 2 add up to 180 degrees. You can put them into an algebraic problem like I have in this (the image I have added), and solve for what x is. That is the key to finding out what angle 1 equals!
Once you have found x you can plug it into the equation you have for angles 1 and 2 to find if they equal 180.
Hope this helps!
you are listening to a playlist that has three hip hop songs 2 rock songs if they are a 15 more songs on this playlist and the ratio of hip hop song or rock song stayed the same how many of each type would be on this playlist
Answers
The value of x must be greater than
O 0
O 1
O 3
O 7
Answers
how to solve trial and error method i) y + 6 = 11
Answers
2.) 11 minus 6 is 5
3). this leaves you with y = 5
this is a geo question i do not understand someone please help me
Answers
There are two classrooms available for the upcoming debate tournament. Room A has a capacity of 28 and room B has a capacity of 35. If
there are 253 students participating in the tournament write an inequality to represent how many possible sessions there would have to
be, given that both rooms could be used at once? Let a represent room A and b represent room B.
Answers
Answer:
first one
Step-by-step explanation:
A half of a number added to 7 gives 19. What is the number? *
Answers
Answer:
24
Step-by-step explanation:
---------------
24÷2=12
12+7=19
---------------
Anything would really help! Due soon!
Answers
Answer:
y=mx+b
Step-by-step explanation:
HELp PLZLZPLZPLZPLPZLPZLZPLZPLZPZLPZLPZLZPLZPZLPZLZPLZPZLZPLPZLZPLZ
Answers
Answer:
pretty sure it's 8 if I'm not mistaken
A postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight? Explain?
Answers
Answer:
.95-1.05
Step-by-step explanation:
you are able to go above 0.05 or below 1 by 0.05
since it's 95% of 1
Answer:
.05
Step-by-step explanation:
It's simple really. It's finding 5% of 1.
First you change the percent to a decimal. 5%= .05
Next you multiply .05 times 1 which is obviously 1. :)
Renee has 13 rings and 48 bracelets. She has a small box for each item. How many small boxes does Renee have
for her rings and bracelets?
Help plz
Answers
Answer:
[see below]
Step-by-step explanation:
Renee has one small box for each item. This means that she would have 13 boxes for the small rings and 48 boxes for the bracelets.
13 + 48 = 61
She should have 61 boxes in total.
Hope this helps.
how to factorise 3x-9x^2
Answers
3x-9x²
Factor out 3x from the expression
Answer: 3x^ x(1-3x)
find the distance for AB for A (3,5) and B(6,1)
Help!!
Answers
Answer:
5 is the answer to the question
15. Show, using a numerical example, that the expressions (x+2) and x² + 4 are not equivalent.
Answers
Answer:
Check explanation below.
Step-by-step explanation:
For this, Ill assign X the value of 2.
(2+2)=(2^2+4)
[tex]4\neq 8[/tex]
Which function is a horizontal translation of the parent quadratic function, f(x) = x2
O A. ;(z) = x2 - 4
B. g(x) = (x - 4)
C. k(x) = -42
D. h(x) = 4,2
Answers
The function that represents the horizontal translation of the parent function is (b)g(x) = (x - 4)^2
How to determine the horizontal translation?The function is given as:
f(x) = x^2
An horizontal translation is represented using:
f'(x) = (x ± h)^2
Where h does not equal to 0
From the list of options. we have:
g(x) = (x - 4)^2
Hence, a function that represents the horizontal translation of the parent function is (b)g(x) = (x - 4)^2
Read more about translation at:
https://brainly.com/question/4289712
#SPJ9
CAN U GUYZ PLz HELP MEH??? PLZPLZPLZPLZPLZPLZPLZPLZPLZ???????
Answers
please answer If I get this right I'm done for the week I will give brainiest if you're right!!!
Lots of points
Use cross products to demonstrate whether or not the two ratios are equivalent: 4/6 and 14/21
Answers
Answer:
The answer is true.
Step-by-step explanation:
[tex] \frac{4}{6} = \frac{14}{21} \\ 84 = 84[/tex]
Because the last equation, 84=84, is true, then the ratios are true.
HELPPP 30+ POINTS
.
.
.
.
Answers
Answer:
e:
ratio is smaller then number 1
so is between 0 and 1
Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. y = $0.17x + $15.89 How much did Hans pay for his trip?
Answers
Given :
Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile.
In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. y = $0.17x + $15.89 .....1)
To Find :
How much did Hans pay for his trip.
Solution :
x = 450 miles.
Putting value of x in equation 1 we get :
y = $(0.17×450 + 15.89)
y = $(76.5+15.89)
y = $92.39
Therefore, Hans will pay $92.39 for his trip.
Hence, this is the required solution.
Which student rounded properly?
Answers
Answer:
c is the answer
Step-by-step explanation:
Which answer choice is a solution to the inequality 1.5x+3.75≥5.5? –1 1 1.5 0
Answers
Answer:
x ≥ 1.17Step-by-step explanation:
[tex]1.5x+3.75≥5.5[/tex]
First of all subtract 3.75 from both sides of the equation
That's
[tex]1.5x + 3.75 - 3.75 \geq5.5 - 3.75 \\ 1.5x \geq1.75[/tex]
Divide both sides by 1.5
[tex] \frac{1.5x}{1.5} \geq \frac{1.75}{1.5} \\ [/tex]
We have the final answer as
x ≥ 1.17Hope this helps you
Answer:
1.5
Step-by-step explanation:
A map’s scale is 1 inch: 3.5 miles. If the actual distance between two places is 77 miles, then they will be ____ inches away from each other on the map.
Answers
==================================
Work Shown:
(1 inch)/(3.5 miles) = (x inches)/(77 miles)
1/3.5 = x/77
1*77 = 3.5*x ..... cross multiply
77 = 3.5x
3.5x = 77
x = 77/3.5
x = 22
22 inches on paper correspond to 77 miles in real life.
The point slope form of the equation of the line that passes through (-9,-2) and (1,3 ) is y- 3= 1/2(x-1). What is the slope intercept form of the equation for this line? (Plz help!! It’s 15 points!! )
Answers
Answer:
y=.5x+2.5 OR [tex]y=\frac{1}{2}x +\frac{5}{2}[/tex] (both are right)
Step-by-step explanation:
Distribute the 1/2
y-3=.5x-.5
add 3
y=.5x+2.5 OR [tex]y=\frac{1}{2}x +\frac{5}{2}[/tex] if you're into fractions
The length of a iPhone is 15 cm and the width of the iPhone is 7.4 cm. What is the maximum area?
Answers
Answer:
111 cm squared
Step-by-step explanation:
15x 7.4
helppp (picture below)
Answers
Answer:
Rate me 1 star if wrong but its answer A
Step-by-step explanation:
Find the x and y intercepts of the graph of the linear equation -x + 8y = 4
Answers
Answer: x-int: (-4, 0), y-int: (0, 1/2)
Step-by-step explanation:
x-int: when y = 0
-x + 8*0 = 4
-x = 4
x = -4
(-4, 0)
y-int: when x = 0
0 + 8y = 4
8y = 4
y = 1/2
(0, 1/2)