What is the measure of the smallest interior angle of the hexagon shown?
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Explanation:
We have n = 6 sides, so the interior angles must add to 180(n-2) = 180(6-2) = 720 degrees
Lets add up the angles, set the sum equal to 720 and solve for x
x+2x+115+2x+115+2x = 720
7x+230 = 720
7x = 720-230
7x = 490
x = 490/7
x = 70
This makes angle 2x = 2*70 = 140 degrees
We see that x = 70 is the smallest angle, so that's why C is the answer.
1 torr is equal to (1 Point)
Answer:
1 torr = 760 atm
1 torr = 1 mmHg
What is the area of this figure?
Answer:
286 mm ^2
Step-by-step explanation:
The figure is a trapezoid
The area of a trapezoid is given by
A = 1/2 ( b1+b2) *h where b1 and b2 are the lengths of the bases and h is the height
A = 1/2 ( 28+24) * 11
A = 1/2 (52)*11
A =286 mm ^2
Answer:
The area of this figure is 286
Step-by-step explanation:
The formula for the area of a trapezoid is A = (a+b/2)h, or the top line plus the bottom line divided by 2 times the height. a is given as 24 mm and b is given as 28 mm so 24 plus 28 is 52. 52 divided by 2 is 26. 26 times 11 is 286 therefore the answer and area is 286.
which function is the inverse of f(x)=2x+3?
f^1(x)=-1/2x-3/2
f^-1(x)=1/2x-3/2
f^-1(x)=-2x+3
f^-1(x)=2x+3.
The table shows how many male and female students attended two different movies. What is the probability that a randomly chosen person from this group is mail and attended an action movie? Round your answer to two decimal places.
Answer:
the answer is d trust me 0.22
Step-by-step explanation:
Eyjafjallajökull is a volcano in Iceland. Ina research reuption a projectile is ejected with an initial velcony of 304 feet per second. The height H, in feet is given the equation H=16t^2 + 304t
Answer:
t = 9.5 seconds
Step-by-step explanation:
Given that,
The initial velocity of the projectile is 304 ft/s
The height of the projectile is given by :
[tex]H=16t^2 + 304t[/tex]
For maximum height,
Put h' = 0
[tex]h'=-32t+304[/tex]
or
[tex]-32t+304=0\\\\t=\dfrac{304}{32}\\\\t=9.5 \ s[/tex]
So, the time taken to reach the maximum height is 9.5 seconds.
Need help pls. Kind of struggling to get an answer
Answer:
c. 216 m squared
do 6×6 to find the missing area then do 12×21 to fine whole area then subtract 252 and 36. hope this helps
What is the value of cos C?
Answer:
15/17
Step-by-step explanation:
cos=opp/adj
cos C=15/17
Find each missing length to the nearest tenth.
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Answer:
6.7
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.
x^2 = 6^2 +3^2 = 45
x = √45 ≈ 6.7
The missing side length is about 6.7 units.
Answer:
The missing side length s 6.7 units.
Step-by-step explanation:
hope it helps
PLS ANSWER THIS PLS PLS
Answer:
the picture can't clean. so I can't solve the problem
Answer:
I will go with (C)
Step-by-step explanation:
So the interior angle of a 9 -sided polygon is 140 °. We can see that x and one interior angle lie on the same side of a straight line, so their sum must be 180 °. So x = 180 ° − 140 °, or x = 40 °. The correct answer is 40 °. Hope this helps!
PLEASE HELP ASAP!!!
WILL MARRK BRAINLIEST
Answer:
D
Step-by-step explanation:
Have a nice day :)
Alex wants to arrange chairs in such a way that the number of chairs in a row is equal to the number of the columns.He has ordered 5100 tables.
a)How many more tables needed to arrange in such a way that he planned? Justify your answer
b)How many chairs can he remove to arrange in a way that he wants? Justify your answer.
Answer:
84
59
Step-by-step explanation:
In other to have the same number of chayes in both rows and columns ;
If the Number of chairs per row = x ; then number of chairs per column = x
Then the total number of chairs needed = x * x = x²
Hence, if there are 5100 chairs ;
Number of chairs needed more ;
Take the square root of 5100 ;the round to the next whole number :
B.) For number of chairs to be removed ;
Take the square root of 5100 and round down to the whole number.
Hence,
A.) = √5100 = 71.414 = 72
72² - 5100 = 84
B.) 5100 = 71.414 = 71
5100 - 71² =
Solve the equation 4x^2 - 5x -33 = -29 to the nearest tenth.
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Answer:
x = {-0.6, 1.8}
Step-by-step explanation:
Adding 33 we have ...
4x^2 -5x = 4
Dividing by 4, we get ...
x^2 -5/4x = 1
We can complete the square by adding the square of half the x-coefficient:
x^2 -5/4x +25/64 = 89/64
(x -5/8)^2 = 89/64
x = (5 ±√89)/8 = {-0.5542, 1.8042}
The solution rounded to the nearest tenth is ...
x = {-0.6, 1.8}
Jack works eight hours each day. He is paid £6.50 per hour. He shares his wages with Kim in the ratio Jack : Kim = 4 : 1 Jack saves his share. How many working days will it take Jack to save £1040?
Answer:
25 days
Step-by-step explanation:
6.50 x 8 = 52
52 ÷ 5 = 10.4
10.4 × 4 = 41.6
1040 ÷ 41.6 = 25
Which of the following is the point-slope form of the equation
with slope 3 that goes through the point (4, 2)?
B.
A. y + 4 = 3(x + 2)
y + 2 = 3(x + 4)
C. y - 4 = 3(x - 2)
D. y - 2 = 3(x – 4)
Answer:
y -2 = 3(x-4)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y -2 = 3(x-4)
Three more than the product of six and a number, increased by nine in the simplest form
Answer: 12+6x
Step-by-step explanation:
three more means addition +3
the product of 6 and a number means multiplying 6 by a variable 6x
increased by 9 means addition +9
put it together and we have 3+6x+9
now we combine like terms
3+9+6x
12+6x
If v = 35 , a = 4 , t = 5 and v = u + a t , evaluate u .
v = u + at
=> 35 = u + (4×5)
=> 35 = u + 20
=> 35 - 20 = u
=> 15 = u
Step-by-step explanation:
v = u + a t
35=u+ 4(5)
35-20=u
u=15
Need help i’m struggling
Answer: 50 degrees
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Explanation:
There's a lot of filler and visual distraction going on here. We only need to focus on the points H, C and E. Also, we need to focus on the circle as well. The other stuff is stuff we can ignore.
We're told that angle HCE is 50 degrees. This is a central angle that subtends, or cuts off, arc HE. By definition of arc measures, arc HE is also 50 degrees.
There's not much else to this problem to be honest.
Anna needed to let everyone in the music club know the time of its next meeting. She called two people and asked each of them to call two other people, and so on. if it takes one minute to call two people, how many phone calls were made during the fifth minute?
Answer:
62
Step-by-step explanation:
In one minute Anna called 2 people
the next minute the 2 people each called 2 people making it 4 so I'll draw something like a branch chain to calculate so it will look like the fig above
I'm not too sure but I tried my best.
Find the value of x.
Answer:
9 sqrt(2) /2 = x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hypotenuse
sin 45 = x /9
9 sin 45 = x
9 sqrt(2) /2 = x
In parallelogram DEFG if m FGD=125 find m GDE
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Answer:
55°
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
m∠GDE = 180° -m∠FGD = 180° -125°
m∠GDE = 55°
What is the measure of ABC?
O A. 130°
B. 260°
с
50"
C. 1000
D. 3100
SUBMIT
Answer:100 degrees
Step-by-step explanation: Multiply 50 by two by in inscribed angle therom.
ABC is 100
What is central angle of an arc?The central angle that creates the intercepted arc's central angle, or the arc measure, is expressed in degrees. Arc length can be estimated as a percentage of the circle's circumference by multiplying the circle's diameter by the arc length, divided by 360.
θ = arc* 2
θ = 50*2 = 100
To learn more about arcs refer to:
https://brainly.com/question/1597355
#SPJ2
∠A and angle∠B are vertical angles. If angle ∠A=(3x−8) and angle ∠B=(4x−17) then find the value of x.
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Answer:
x = 9
Step-by-step explanation:
Vertical angles are congruent, so ...
∠B = ∠A
4x -17 = 3x -8
x = 9 . . . . . . . . . . . add 17-3x to both sides
x = 9
Step-by-step explanation:
In the question we have given that ∠A and angle∠B are vertical angles. And the value of angle ∠A = ( 3 x - 8 ) and angle ∠B = ( 4 x - 17 ).
Finding the value of x∠B = ∠A. (Both are vertical angle so, both are equal to each other).
Substitute the values
4 x - 17 = 3 x - 8
Add 17 - 3 x to each side
4 x - 17 + 17 - 3 x = 3 x - 8 + 17 - 3 x
combine like terms
4 x + 0 - 3 x = 3 x - 3 x - 8 + 17
x = 0 + 9
x = 9
Which product is positive?
(1) (1943)-3)
(13)04-1)-4)
O
5
3
Answer:
El 5 y el 3
Step-by-step explanation:
La primera y la segunda saldrá un negativo ya que hay un negativo y con eso nunca saldrá positivo.
La tercera es 0, no es positivo ni negativo
La cuarta y quinta es positivo
If the total surface area of hemispher is 7392 square cm. Them find its radius.
Answer: The radius of the hemisphere is (R) = 28 cm
WILL MARK BRAINLIEST!!!
PLEASE HELP!!!
Solve for X.
Multiple choice!
Thank you!
Answer:
-8
Step-by-step explanation:
1) Total sum of all angles on a traingle is 180.
2) 65+40=105
3)180-105=75
4) -8+83=75
Answer:
x=-8 degree
Step-by-step explanation:
65 + 40 + x + 83 = 180 degree (sum of interior angles of a triangle)
188 + x = 180
x= 180 - 188
x=-8 degree
Please help me no links!!
Answer:
Slope = 1
Y-intercept = 4
equation = 1x + 4
Hope this helps!
Use mapping notation to describe a translation up 8 units.
A. (x,y) → (x 8, y-8)
B. (x,y) → (x,y+8)
C. (x,y) = (x+8, y+8)
D. (x,y) → (x+8, y)
8x - (2x - 13) = 42
solve and check the equation
Answer:
x = 29/6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
8x - (2x - 13) = 42
Step 2: Solve for x
[Distributive Property] Distribute negative: 8x - 2x + 13 = 42[Subtraction] Combine like terms: 6x + 13 = 42[Subtraction Property of Equality] Subtract 13 on both sides: 6x = 29[Division Property of Equality] Divide 6 on both sides: x = 29/6Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 8(29/6) - [2(29/6) - 13] = 42Multiply: 116/3 - [29/3 - 13] = 42[Brackets] Subtract: 116/3 - -10/3 = 42Subtract: 42 = 42Here we see 42 does indeed equal 42.
∴ x = 29/6 is the solution.
Answer:
x = 29/6
Step-by-step explanation:
solve for x.
8x - ( 2x - 13 ) = 42
distribute minus sign
8x - 2x + 13 = 42
combine like terms
6x + 13 = 42
subtract 13 from both sides
6x + 13 - 13 = 42 - 13
6x = 29
Divide each side by 6
6x / 6 = 29 / 6
x = 29 / 6
Check the equation :
8x - ( 2x - 13 ) = 42
substitute the value of x in equation
8 ( 29/6) - ( 2(29/6) - 13) = 42
reduce the number with the greatest common factor 2
4 × 29 /3 - ( (29/3) - 13) = 42
calculate the product
116/3 - ( 29/3 - 13 )= 42
calculate the difference
116/3 -( -10/3 )= 42
change the sign
116/3 + 10/3 = 42
add the fractions to get 42.
42 = 42
Hence, verified.
Can anyone help !! Please
Answer:
the first question is x=68/3 in standard from it is 3x=68
the second question is x= - 11/10
Step-by-step explanation:
for the second question the negative is beside the fraction.