Greetings from Brasil...
As said:
1° angle: X
2° angle: 2X
3° angle: 20 + 5X
"...The sum of the measures of the angles of a triangle is 180 degrees..."
(1° angle) + (2° angle) + (3° angle) = 180
X + 2X + (20 + 5X) = 180
X + 2X + 5X = 180 - 20
8X = 160
X = 160/8
X = 20
But the problem asks for the value of each angle. Thus
1° angle: X
as X = 20, so
1° angle: X = 20
2° angle: 2X
as X = 20, so
2° angle: 2.20 = 40
3° angle: 20 + 5X
as X = 20, so
3° angle: 20 + 5.20 = 20 + 100 = 120
The values of the first, second, and third angles are 20°, 40° and 120° respectively.
Let the first angle = x
Let the second angle = 2 × x = 2x
Let the third angle = 20 + (5 × x) = 20+5x
Total angles in the triangle = 180°
Based on the information above, the angles will be calculated thus:
x + 2x + 5x + 20 = 180
Collect like terms
8x = 180 - 20
8x = 160
x = 160/8
x = 20
First angle = 20°
Second angle = 2x = 2 × 20° = 40°
Third angle = 5x + 20 = (5 × 20°) + 20° = 120°
The angles are 20°, 40°, and 120°
Read related link on:
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does anyone know this?
Answer:
[-8, 7]
Step-by-step explanation:
The range is the set of values used for the y-coordinates of the all the points of the function.
The highest value of the function is at point (8, 7), so the greatest value y has is 7.
The lowest point of the function is at point (-3, -8), so the least value of y is -8.
Range: [-8, 7]
Answer:
[7, -8]
Step-by-step explanation:
Hello!
The range of a graph is found from looking at the graph from top to bottom
The highest point is 7 and the lowest point is -8
The range would be [7, -8]
Hope this helps!
How to do this question plz answer
Answer:
The way to solve the question is:
Depth = Volume/ (Width x Length)
Volume = Depth x Length x Width
=> Volume = 12 x 15 x 5
=> Volume = 12 x 75
=> Volume = 900
Depth= 900 / (Width x Length)
=> Depth = 900/ 5 x 15
=> Depth = 900/75
=> Depth = 12
Factories this problem
Answer:
This expression has no factors
Step-by-step explanation:
You can't factorize it because it has no factors.
If 14 were sqrt-able then there would have been a factor
Please help I will give out brainliest
Answer:
answer in attachment
Step-by-step explanation:
Write an expression to represent the sum of three times the square of a number and -7.
In your expression, what is the value of the constant?
Answer:
3x^2-7
-7 is the constant
3 is the coefficient
x is the variable
Step-by-step explanation:
(3x^2)+(-7)
what is 4 times the square root of 2 times 6 times the square root of 18
Answer: 144
Step-by-step explanation:
Please help me it’s emergency please
Answer:
-17x
Step-by-step explanation:
(2x^3 - x^2) - (3x^3 - 2x^2)
(8x - 2x) - (27x - 4x)
6x - 23x
-17x
(I haven't seen many questions like this before, but I think that this may be the answer.)
Answer:
The other person is correct he should get brainliest!
Hope this helps!
Two of the angles in a triangle measure 35 and 8. What is the measure of the third angle?
Answer:
137°
Step-by-step explanation:
Total angle of a triangle:
a + b + c = 180°
35 + 8 + c = 180°
c = 180° - 43° = 137°
Hello I have a question
A circular field has a diameter of 32 meters. A farmer wants to buy enough grass seed to cover the field. One box of grass seed will cover 66m Work out how many boxes of grass seed the farmer need to buy.
50 Points, thanks for the help :)
Each question is related to the first question. I don't get this stuff fsr
（＞人＜；）
Answer:
See bolded for each part below.
Step-by-step explanation:
Attachment 1. (a) The range is 400 dollars, as her greatest balance was 400 dollars, so her domain would be 3 weeks.
( b ) Remember that B(0) models the balance over the course of 0 days. As you can see that starting mark is about half of the greatest balance on the graph, 400 dollars. Therefore you can estimate B(0) to be $200.
(c) B(12) models the balance over the course of 12 days. It mentions that at B(12) the balance reaches $0, so in function notation that would be B(12) = 0.
(d) Segment 4 would represent that information. As you can see on the graph, the only time period with which the balance became 0 is represented by the fourth segment.
Attachment 2. (a) As you can see on the graph, Ebony reached $400 on day 4, and stayed as such throughout day 8 (modeled by line segment 2). Therefore B(5) = 400 = B(6) = B(7).
(b) We also know that B(0) = ( About ) 200, B(4) = 400. Therefore B(1) = 250, B(2) = 300, B(3) = 350. The slope changes by a rate of 50.
(c) Jade is incorrect. By looking at the graph you can see that the rate from day 8 to day 12 is greater than the rate from day 0 to day 4.
Attachment 3. (a) I would say the amounts she deposited were less than $100 per day. Remember that from day 0 to 4 the slope is about 50. The slope of the line segment that models this situation, line segment 6, has about the same slope, 50.
(b) On day 21 she had 300 dollars, as it seems that this marking is between the starting amount (200) and 400. There are 5 days between 16 and 21. On day 16 she deposited 100 dollars. From then on she apparently deposited 50 dollars,
100 + 50 * 4 = 100 + 200 = 300 ✓
Venetta knows that ≈.. To convert 5 mi/h to km/h, she multiplies 5 mi/h by .. What error does Venetta make?
Answer: The km need to be over the mi.
Step-by-step explanation: The kilometers in this equation are supposed to be used as the denominator, and the miles as the numerator.
Km/mi
please help i will give brainliest for whomever answers correctly A doctor sees 4 patients each hour. Use the equation y = 4x, where the y-value represents the many patients that the doctor may see in x hours. Graph, if necessary. How many patients will the doctor see in a 5-hour day?
Answer:
20 paitents
Step-by-step explanation:
In the word problem since x represents the number of hours all you have to do is plug in 5 for the x-value.
y = 4 (5)
once you do that, multiply 4 x 5 and you get 20.
9×1= 9 9×2 =18 9×3 =27 9×4 =36 9×5 =45 9×6 =54 9×7 =63 9×8 =72 9×9 = 81 9×10= 88 Pls share the logic behind this!
F(x)= | x-4 | - 9, find f(-7)
Answer:
2
Step-by-step explanation:
Given
f(x) = | x - 4 | - 9, then
f(- 7) = | - 7 - 4 | - 9
= | - 11 | - 9 ( absolute value returns a positive value )
= 11 - 9
= 2
Which expression is equivalent to 6 minus (negative 8)? Negative 6 + 8 Negative 6 + (negative 8) 6 + (negative 8) 6 + 8
Answer:
6+8
a negative minus a negative equals a positive and x minus a negative is addition
Answer:
6+8
Step-by-step explanation:
6 minus (negative 8)
6 - (-8)
We know that subtracting a negative is like adding
6+8
There is a 70% chance of rain tomorrow and a 20% chance that the volleyball game will be postponed. What is the
probability that it will rain tomorrow and the volleyball game will be postponed?
O 14%
O 35%
O 50%
o
90%
I need answer ASAP !:/
Answer:
-10.50 is NOT an integer
Step-by-step explanation:
-10.50 is not an integer number, it includes half of the unit (0.50)
35 divided by 4 = 8 R3
Answer:
[tex]\Large \boxed{8\frac{3}{4} }[/tex]
Step-by-step explanation:
35 ÷ 4 = 8 R3
The quotient is 8.
The remainder is 3.
The divisor is 4.
Rewrite as a mixed fraction.
[tex]\displaystyle \sf quotient \frac{remainder}{divisor}[/tex]
35 divided by 4 gives the mixed fraction 4 3/8.
We have,
35 divided by 4 = 8 R3
When we divide 35 by 4, the result is:
35 ÷ 4 = 8 with a remainder of 3.
Or, in the form of mixed fraction we can write as
Divisor x quotient / Remainder
Then, 4 3/8 is the mixed fraction.
Thus, 35 divided by 4 gives the mixed fraction 4 3/8.
Learn more about Mixed fraction here:
https://brainly.com/question/29019463
#SPJ6
plss help me!!
A navy ship observes an illigal boat 'd' miles away to it's West. If the boat travels at a 'u' velocity towards the south , and it's given that the maximum velocity of the ship's canon is λu ( λ<1)
and the max range they can be shot at is 'v',
show that if λ^2 +(v/d)^2 <1 ,
1) that the illigal boat can avoid any harm caused by the navy ship.
( use relative velocity triangles and geometry)
Step-by-step explanation:
The problem statement says λ<1. If this is true, then the cannonball is slower than the boat, and it will never reach the boat. So I assume it's actually λ>1.
If we say t is the amount of time, then the boat travels south a distance of ut, and the cannonball travels a distance of λut.
v = λut
ut = v/λ
Using Pythagorean theorem:
d² + (ut)² > v²
d² + (v/λ)² > v²
λ²d² + v² > λ²v²
λ²d² > (λ² − 1) v²
λ² / (λ² − 1) > (v/d)²
write in the exanded form 5614789236
5,000,000,000
600,000,000
10,000,000
4,000,000
700,000
80,000
9,000
200
30
6
Answer:
5.614789236 x 10^9.
Step-by-step explanation:
The exponent is 9 because there are 9 digits after the 5.
A high school graduating class is made up of 505 students. There 175 more girls than boys. How many boys are in the class
Answer:
165
Step-by-step explanation:
let the number of boys be x and girls be y.
But there are 175 more girls than boys, so y = x + 175
sum of boys and girls is 505
x + y = 505
and y = x + 175
x + x + 175 = 505
2x = 330
x = 165
There were 96 members in a club. The ratio of the number of female members to male members was 7:5. When 58 new members joined the club, the ratio became 5:6. How many of the new members were males?
Answer:bend
Step-by-step explanation:s s
3 1/2+ 5 3/8 can you solve please
Answer:
71/8
8.875
8 7/8
Step-by-step explanation:
2 multiplied by -1 divided by 2
Answer:
-1
Step-by-step explanation:
2 * -1 = -2
Then, -2 / 2 = 1
What algebraic expression represents GK, if GK =37, what are GH and JK. GJ=4x+2 and HK=6x-1
Answer:
The answer is "GK=37, GH=14, and JK=19 ".
Step-by-step explanation:
In the question, an attachment file is missing.so, please find its attached file.
Given values:
GJ=4x+2
HK=6x-1
GK =37
Find:
HJ=?
GK = GJ+JK
= GJ+(HK-HJ)
= 4x+2+((6x-1)-x)
= 4x+2+6x-1-x
=
9x+1...(a)
Solve equation (a) and put the value of x in the equation:
=9(4)+1
=36+1
=37
find GH and JK=?
Given:
GK=37
Formula:
GH = GJ-HJ
= 4x+2- x
= 3x+2....(b)
Solve equation (a):
GK= 9x+1
37=9x+1
36=9x
x=4....(c)
put the value of equation (b) in equation (c)
GH = 3x+2
= 3(4)+2
= 12+2
= 14
Formula:
JK= HK-HJ
= 6x-1- x
= 5x-1
put the value of x in the above equation:
= 5(4)-1
= 20-1
=19
help find x out of these 4 questions i can’t find the answer anywheew
Answer:
Option D. 11√6/2
Step-by-step explanation:
We'll begin by calculating the side opposite to angle 60°.
This is illustrated below:
Angle θ = 60°
Opposite =?
Hypothenus = 11
Using the sine ratio, we can obtain the side opposite to angle 60° as follow:
Sine θ = Opposite/Hypothenus
Sine 60 = Opposite /11
Cross multiply
Opposite = 11 × Sine 60
Sine 60 = √3/2
Opposite = 11 × √3/2
Opposite = 11√3/2
Finally, we shall determine the value of x as follow:
Angle θ = 45°
Opposite = 11√3/2
Hypothenus = x
Using the sine ratio, we can obtain the value of x as shown below:
Sine θ = Opposite/Hypothenus
Sine 45° = 11√3/2 /x
Cross multiply
x × Sine 45° = 11√3/2
Sine 45° = 1/√2
x × 1/√2 = 11√3/2
x/√2 = 11√3/2
Multiply through by √2
x = √2 × 11√3/2
x = 11√6/2
please help me on this
Answer:
The correct answer is True.
Step-by-step explanation:
Altitude: vertical distance either between the top and bottom of something or between a base and something above it.
Sum of the numerator and denominator of the fraction is 4 more than twice the numerator . If the numerator and denominator is deceased by 3.they are in the ratio 2:3. Determine the fraction
The system is:
[tex]\frac{x}{y}=2x + 4[/tex]
[tex]\frac{x-3}{y-3}=\frac{2}{3}[/tex] (y musn't be 3).
Solving for y in the first equation gives you:
[tex]y=\frac{x}{2x+4}[/tex]
Simplify the second equation to:
[tex]2(y-3)=3(x-3)[/tex]
Insert y you solved in first equation to second equation to get:
[tex]\frac{x}{x+2}-6=3x-3[/tex]
Further simplification gets you to quadratic equation:
[tex]x=(3x+3)(x+2)\implies x=3x^2+9x+6[/tex] [tex]3x^2+8x+6=0[/tex].
Solving quadratic equation using quadratic formula gives you two solutions of x in complex plane:
[tex]x_1=\boxed{-\frac{8}{6}+\frac{\sqrt{8}}{6}i}[/tex]
[tex]x_2=\boxed{-\frac{8}{6}-\frac{\sqrt{8}}{6}i}[/tex]
Insert the found x-es into first equation to find the y-s:
[tex]y_1=\boxed{-\frac{1}{2}+\frac{\sqrt{2}}{2}i}[/tex]
[tex]y_2=\boxed{-\frac{1}{2}-\frac{\sqrt{2}}{2}i}[/tex]
So there are two solutions (points) [tex]P_1(x_1,y_1),P_2(x_2,y_2)[/tex] both in [tex]\mathbb{C}[/tex] plane.
And the two fractions are:
[tex]\frac{-\frac{8}{6}+\frac{\sqrt{8}}{6}i}{-\frac{1}{2}+\frac{\sqrt{2}}{2}i}[/tex].
[tex]\frac{-\frac{8}{6}-\frac{\sqrt{8}}{6}i}{-\frac{1}{2}-\frac{\sqrt{2}}{2}i}[/tex].
Hope this helps.
Solve for x (please show work if possible)
Does g(x)=(x-5)/x have a 5 in its domain?
G(X) = (X - 5)/X
Yes... The domain of G(X) can be any value, EXCEPT zero, because we cannot have a fraction with zero in the denominator
Formalizing the domain of this function: D = {X / X ≠ 0}
(for the sake of information, when X tends to zero, the function tends to +∞)