Given : tan 235 = 2 tan 20 + tan 215
To Find : prove that
Solution:
tan 235 = 2 tan 20 + tan 215
Tan x = Tan (180 + x)
tan 235 = tan ( 180 + 55) = tan55
tan 215 = tan (180 + 35) = tan 35
=> tan 55 = 2tan 20 + tan 35
55 = 20 + 35
=> 20 = 55 - 35
taking Tan both sides
=> Tan 20 = Tan ( 55 - 35)
=> Tan 20 = (Tan55 - Tan35) /(1 + Tan55 . Tan35)
Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1
=> Tan 20 = (Tan 55 - Tan 35) /(1 + 1)
=> Tan 20 = (Tan 55 - Tan 35) /2
=> 2 Tan 20 = Tan 55 - Tan 35
=> 2 Tan 20 + Tan 35 = Tan 55
=> tan 55 = 2tan 20 + tan 35
=> tan 235 = 2tan 20 + tan 215
QED
Hence Proved
7 points
1. Original points (1,3), (3,2), and (4.2) are drawn on a graph and transformed to points
(-1,3), (-3,2), and (-4,2). Which rule describes the transformation performed? *
(x,y) -> (-x, y) because the triangle was reflected over the y-axis
(x,y) -> (x,-y) because the triangle was reflected over the x-axis
(x,y) -> (x, y - 2) because the triangle was translated 2 units down
O
(x,y) -> (x, y-6) because the triangle was translated 6 units down
Please help quick
10 points
Answer:
[tex]y = x - 1[/tex]
:))))))))))
Answer:
-1
Step-by-step explanation:
the line goes through the y axes and it goes over -1 as it passes
Solve the inequality
-2y- 5 > 5/2
Answer:
y = -15/4
Step-by-step explanation:
The probability of an event is 0.001.
Which of the following best describes the event?
A The event will never occur.
B There is a small chance that the event will occur.
C The event is likely to occur.
D The event will definitely occur.
B
Step-by-step explanation:
it would be a if the chance was 0.000 but it's 0.001 so there is a very very small chance of it happening
Answer:
Step-by-step explanation:
0.001 means 1/1000
The answer depends on what is being described.
If you are putting money into a lottery if you got odds of 1 in a 1000, you'd jump for joy at such good odds.
If you are putting money into the stock market and the chances of getting any kind of return is 1/1000, I think you'd start looking for something else to do.
That said, I think the answer you want is B, but I'm not fond of the question.
At the Queen of Peace Festival, you have 50 tickets to ride the Ferris Wheel and the roller coaster. If you ride 12
times, using 3 tickets for each Ferris Wheel ride and 5 tickets for each roller coaster ride, how many times did you go
on each ride?
Answer:
25 times did we go to ride
PLEASE ANSWER ASAP !!!! WILL GIVE BRAINLIEST
Answer:
6z-7>8z+2? = z < -9/2
Step-by-step explanation:
6*z-7-(8*z+2)>0
-2z - 9 = -1 • (2z + 9
Multiply both sides by (-1)
Flip the inequality sign since you are multiplying by a negative number
2z+9 < 0
Divide both sides by 2
z+(9/2) < 0
Subtract 9/2 from both sides
z < -9/2
Answer: z < -9/2
Answer:
z is (less than) -9/2 is the correct answer use the symbol for less than.
Step-by-step explanation:
I put it through Photomath which is 100% right all the time with these equations.
Use an informal argument to find the value of a
PLEASE ANSWER FAST!!!
What are the Slope and Y-intercept of y>-2x+3
Answer:
The y-intercept would be y > 3
The slope would be -2
Step-by-step explanation:
Slope is very simple to find, as it is just the value next to x.
The y-intercept would be 3 as it is outside the ax.
a b =
PLEASE TELL NEEEE
Answer:
i am not sure if this is what u need but i hope it is.
In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object. The equality between A and B is written A = B, and pronounced A equals B.
1/3 x + 1 = 5/6 x - 3
Answer:
x=8
Step-by-step explanation:
Step 1: Subtract 5/6x from both sides.
1/3x+1−5/6x=5/6x−3−5/6x
−1/2x+1=−3
Step 2: Subtract 1 from both sides.
−1/2x+1−1=−3−1
−1/2x=−4
Step 3: Multiply both sides by 2/(-1).
(2/−1)*(−1/2x)=(2/−1)*(−4)
x=8
Elimination method
3x + -3 =6
3x + 2y = 16
Answer:
(4,2)
Step-by-step explanation:
hope this answerss
Find the length AB ?
Answer:
AB = 54
Step-by-step explanation:
DE is a midsegment of the triangle and is half of AB , that is
2x + 13 = [tex]\frac{1}{2}[/tex](13x - 37) ← multiply through by 2 to clear the fraction
4x + 26 = 13x - 37 ( subtract 13x from both sides )
- 9x + 26 = - 37 ( subtract 26 from both sides )
- 9x = - 63 ( divide both sides by - 9 )
x = 7
Thus
AB = 13x - 37 = 13(7) - 37 = 91 - 37 = 54
Fay has a lemonade stand.
She spends £42 on ingredients.
She sells each glass of lemonade for £1.50.
If she sells 30 glasses of lemonade, what is her total profit?
Answer:
her total profit is 3
Step-by-step explanation:
1.50 x 30 = 45
to find total profit - 45-42= 3
Which expression below is equivalent to -3x + 5(x+2)?a. 2x + 10
b. -8x + 10
c. 2x + 2
d. -x+2
answer sadasdasdasdadsasda
Answer:
12 bicycles
5 tricycles
Step-by-step explanation:
[tex]x + y = 17\\2x + 3y = 39\\\\2x + 2y = 34\\2x + 3y = 39\\\\y = 5\\\\2x + 2 * 5 = 34\\2x + 10 = 34\\2x = 24\\x = 12[/tex]
please help sorry if blurry
Answer:
you're correct...
Step-by-step explanation:
If the length of leg x is 12 feet, what is the length in feet of the hypotenuse of each triangle? Record your answer in the boxes below. Be sure to use the correct place value .
Answer:15.00
Step-by-step explanation:
Answer:
The length of the hypotenuse of each triangle is 13 feet. Below is the explanation
Step-by-step explanation:
Given:
In the middle, there is a square with 10 ft as the side length.
An Isosceles triangle formed on each side of the square which height as 12 feet.
To find:
The hypotenuse measure of the right triangle.
Let's use the Pythagoras theorem to find hypotenuse measures.
I'll attach the file to find the hypotenuse measure.
Hypotenuse measures 13 feet.
You can learn more:
https://brainly.com/question/20545047
math i need help with
1 and 2 is all I need and you guys would help me from not getting beat
Answer:
1. -10
2. -11
Step-by-step explanation:
Which of the following lists of numbers is closed under division?
O Rational Numbers
O Whole Numbers
O Natural Numbers
O Irrational Numbers
Answer:
The set of rational numbers is closed under addition, subtraction, multiplication, and division (division by zero is not defined) because if you complete any of these operations on rational numbers, the solution is always a rational number
Step-by-step explanation:
Rational Numbers closed under division
What are rational numbers?Rational Numbers: Any number that can be written as a ratio (or fraction) of two integers is a rational number.
Given:
we have to find the Numbers closed under division
Whole numbers are not closed under division because denominator can't be equal to 0.
Similarly, Natural Numbers and Irrational Numbers are not closed under division.
Since the result of any of these operations on rational numbers is always a rational number, the set of rational numbers is closed under addition, subtraction, multiplication, and division (division by zero is not defined).
Learn more about rational number here:
https://brainly.com/question/16591101
#SPJ2
Is −5 a solution to the equation 6 + 5 = 5 + 8 +2? PLS HELP
Answer:
it is false
Step-by-step explanation:
Answer:
False
Step-by-step explanation
6+5 ?= 5+8+2
11≠15
False
With this equation it was asking you is 6+5 equal to 5+8+2
and the answer is no, false.
If there are 14 people, and each person has 2 coins, there are ____ times as many coins as people.
Answer:
28
Step-by-step explanation:
am i wrong
ok bb now
--z-
Help
PleSe due now!!!!!
Answer:
1/2
Step-by-step explanation:
3/6 = 1/2
Answer:
1/6
Step-by-step explanation:
in case of one fair die, each face has the same probability, thus, P of each number is equally 1/6
Write the equation for a line that has a slope of 3 and a y-intercept of 4.
Answer:
y = 3x + 4
Step-by-step explanation:
Time Remaining
15:48
m:s
Previous
IMC-2021-25
Thomas has constant speeds for both running and walking. When a down-escalator is moving. Thomas can
run down it in 15 seconds or walk down it in 30 seconds. One day, when the escalator was broken (and
stationary), it took Thomas 20 seconds to run down it.
How long, in seconds, would it take Thomas to walk down the broken escalator?
30
40
45
50
60
Thomas walks down the stopped escalator in 30 seconds
Please help me !!! I’m very behind and my grade is an F
Answer:
3
Step-by-step explanation:
3 x 8 = 24
24/8 = 3
Judy calls in a to-go order at the local pizzeria. She orders pizza for $1.75
per slice and a soda for $2.50.
Answer:
i think you want the total. it is $4.15
Step-by-step explanation:
what is the solution to the equation below?
Answer: x = -27
Step-by-step explanation:
Answer:
x=-27Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASgiven:[tex] - 8 = \frac{x}{3} + 1[/tex]to solve[tex]x[/tex]let's solve:[tex] step - 1 : define \\ - 8 = \frac{x}{3} + 1[/tex]
[tex]step - 2 : \\ rewrite[/tex]
[tex]\frac{x}{3} + 1= - 8[/tex]
[tex]step - 3 : \\ subtract \: 1 \: from \: both \: sides[/tex]
[tex] \frac{x}{3} + 1 - 1 = - 8 - 1[/tex]
[tex] \frac{x}{3} = - 9[/tex]
[tex]step - 4 : \\ multiply \: both \: sides \: by \: 3[/tex]
[tex] \frac{x}{3} \times 3 = - 9 \times 3[/tex]
[tex] \huge \therefore x = - 27[/tex]
What are the solutions of 3(x – 5)(2x – 3) = 0? Check all that apply.
Group of answer choices below.
-5
-3
-2/3
3/2
3
5
Answer:
[tex]3(x - 5)(2x - 3) = 0[/tex]
Solution of the given expression are :---
[tex]x - 5 = 0 \\ \boxed{ x = 5}[/tex]
[tex]2x - 3 = 0 \\ 2x = 3 \\ \boxed{x =\frac{3}{2} }[/tex]
x=5 and x=3/2 are the solution of the given expression.
CAN YALL HELP ME WITH THIS
Answer:
75.36 square cm
Step-by-step explanation:
a=2πr
a=2π(12)
75.36
Answer:
452.16cm²
Step-by-step explanation:
MARK ME AS BRAINIEST