How to prove the vertical Angles Theorem
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]
Segment RS is an altitude of triangle RTE, the measure of angle SRT=(4x-8) degrees, and the measure of STR=(6x+13) degrees. Find the value of x
9514 1404 393
Answer:
x = 8.5
Step-by-step explanation:
The given angles are complementary, so ...
(4x -8) +(6x +13) = 90
10x +5 = 90 . . . collect terms
10x = 85 . . . subtract 5
x = 8.5 . . . . divide by 10
Which of the following equations could represent
the points in the table? Select all that apply.
A y − 11 = −6(x − 0)
B y − 1 = −6(x + 5)
C y + 1 = −6(x − 2)
D y − 7 = −6(x − 3)
Answer:
A) y - 11 = -6(x - 0)
C) y + 1 = -6(x - 2)
Step-by-step explanation:
Plug in the corresponding x- and y- values in the table into the equations given in the answer choices.
I am going to use (1, 5) from the table.
A) y - 11 = -6(x - 0)[tex](5)-11=-6((1)-0)[/tex][tex]-6=-6(1)[/tex][tex]-6=-6[/tex]-6 DOES equal 6, so this equation could represent the points in the table.
B) y - 1 = -6(x + 5)[tex](5)-1=-6((1)+5)[/tex][tex]4=-6(6)[/tex][tex]4 \not=-36[/tex]4 does NOT equal 36, so this equation could not represent the points in the table.
C) y + 1 = -6(x - 2)[tex](5)+1=-6((1)-2)[/tex][tex]6=-6(-1)[/tex][tex]6=6[/tex]6 DOES equal 6, so this equation could represent the points in the table.
D) y - 7 = -6(x - 3)[tex](5)-7=-6((1)-3)[/tex][tex]-2=-6(-2)[/tex][tex]-2\not=12[/tex]-2 does NOT equal 12, so this equation could not represent the points in the table.
The only two equations that could represent the points in the table are answer choices A) y - 11 = -6(x - 0) and C) y + 1 = -6(x - 2).
HELPP!!! round 5.4032 to the nearest hundredth
A groundskeeper needs grass seed to cover a circular field, 230 feet in diameter.
A store sells 10-pound bags of grass seed. One pound of grass seed covers about 400 square feet of field.
What is the smallest number of bags the groundskeeper must buy to cover the circular field? Explain or show your reasoning.
Help need before 2 hours!!
Answer:
if the area of a right isosceles triangle is 128. m,what will be the length of the identical side of the triangle
A triangle has the vertices A (-2, 4), B (-2,-2), and C (2,-2). If the triangle undergoes a dilation and has new vertices A' (-1, 2), B'(-1,-1), and C' (1, -1), what is the scale factor?
A) 1/2
B) -1/2
C) 2
D) -2
Answer: Its A
Step-by-step explanation:
BWI Airport is building a new parking lot. The parking lot will need to fit 1350 cars. A typical row of parking spaces has 30 spaces. How many rows have to be built to hold 1350 cars? Rather than build rows that fit 30 cars, the airport is requesting rows that fit 50 cars. How many fewer rows are needed if the rows fit 50 card?
Answer:
45 rows will need to be built to hold 1350 cars. (for 30 spaces a row)
19 fewer rows are needed if the rows fit 50 cars (for the 50 spaces a row)
Step-by-step explanation:
for the first question divide 1350 by 30 and the second divide 1350 by 50, good luck!
IVE BEEN TRYING TO GET THE ANSWER FOR THIS WITH A PICTURE AND KEYBOARD PLEASE HELP (It’s a picture)
Answer:
Step-by-step explanation:
Please answerrr!!! (don’t answer if you don’t know it) will give brainliest
Answer:
∠H = 122°
Step-by-step explanation:
This is a 5-sided polygon. That means the sum of all the angles must equal 540°.
∠H + 107° + 97° + 130° + 84° = 540°
∠H = 540° - (107° + 97° + 130° + 84°)
∠H = 540° - 418°
∠H = 122°
10 points
The cost of renting is $25 per day plus a one-time insurance fee of $50.
Write and solve an inequality to find how many days can the car be
rented if the total cost is to be no more than $475.
Slope 6, passing through (-4,2)
How many cupcakes can you make with 6 cups of flour?
Answer:
36 cupcakes if one cup of flour is 6 cupcakes you multiply the amount of flour by 6
Help ASAP please please plsssssssssssss
Answer: 11 1/3 (eleven and one third)
Step-by-step explanation:
8. Charlize and Camille solved the equation 4x - 2y = 8 for y. Their work is shown below. Which student solved the equation correctly? *
Answer: I think the answer is y=2x-4 but i cant see who’s equation is correct
Step-by-step explanation:
graph for y=2/3x-4
Y intercept at -4 and it will be increasing from left to right because it has a positive slope.
Answer:
2/3x-4
Step-by-step explanation:
I’m dumb too
ASAP HELP ASAP HELPPPP
Answer:
3 or 2 is the answer to the question
Find the area of the rectangle. The length is 1.25 and the width is 0.8 inches
What is the range of a set of data. A. The middle number. B. The average of the data. C. The difference in the largest value from the smallest value. D. The largest value of the data
Answer:c
Step-by-step explanation:the difference between the largest and smallest is the range ...all the possible answers would be included in the range
can you help me with my geometry homework, I will give a brainlist.
Answer:
i can explain it to you.
Step-by-step explanation:
SO first you're going to label the graph with the munbers. If you don't know how they go just search one up because they all look the same.
Then you're going to place them on the coordinates that they correspond to. (x,y)
Then for the rotation you're going to move it 90* clockwise which would be right but in the shape of a circle. But you have to connect the dots.
Basically you're just laying it down on its side to the right.
Hope this helps. :)
What is the value of k?
Answer:55
Step-by-step explanation:
x2 + 10x + 25 = 0
Solve each equation by factoring
Answer:
x=-5
Step-by-step explanation:
This is a perfect square
(x+5)^2=0
x+5=0
x=-5
_____ the
clauses in the original
Ms. Pecho currently owes $637.50 simple interest
on a loan of $2500 at an annual interest rate of
17%. How long has she had the loan?
Answer:
Step-by-step explanation:1
1/2 years which is 1 year and 5 months.
Explanation:
The formula for simple interest is
You can either substitute the given values first and the solve for
T, or you can transpose the formula to have
T as the subject.
T=100xSIPR
T=100 x 637.50
T=100×637.502500×17
T=1.5
As time is always in years, this means it was for
112 years which is 1 year and 5
months
-7x - 4x = 8 -2x - 8x
Answer:
3x = 8
Step-by-step explanation:
combine all the #x's on the left side
Answer: x= -8
Step-by-step explanation:
-11x=8-2x-8x
-11x=8-10x
-11x+10x=8-10x+10x
-x=8
-x/-1 = 8/-1
Using exponents, what is the simplified form of (−3x 4 y 2 ) 2 ?
Answer:
Step-by-step explanation:
The chosen topic is not meant for use with this type of problem. Try the examples below.
|−4|+|−4|3+i+(3−2i)(y−3)(y+3)
A Star Wars replica of R2D2 cost $15995. It is on sale for 75% off. What is the discount?
Answer:
It is now 3,998.75
Step-by-step explanation:
0.75x15,995=11,996.25
15,995-11,996=3,998.75
Answer:
$3,998.75
Step-by-step explanation:
Find the slope of the line.
The slope of the line is =
(Simplify your answer. Type an integer or a fraction.
What is the slope of the line that passes through points (-4, 5) and (3, -2)?
Answer:
-1
Step-by-step explanation:
Complete y2 - y1 over x2 - x1 with your given points:
-2 - 5 = -7
_____ ____
3 - (-4) = 7
= ⁻⁷⁄₇ = -1 Simplify to lowest term
HELP PLEASE ASAP
Which of the following are irrational numbers?
55
53
✓20
71
Submit
Answer: √20
Step-by-step explanation:
4.47213595 (the 5 repeats)
what is the difference of −1,098 and -895.9
Answer:
witha decimal? to
Step-by-step explanation: