Determine the measure of angle A. PLEASE HELP PLEASE.
a.54 DEGREES
b.1 DEGREES
c.36 DEGREES
d.32 DEGREES
Answers
First we find the value of [tex]x[/tex]. This is quite simple as it's a right angled triangle with one of the angles already given. The main concept is vertically opposite angles meaning if 2 lines intersect, the opposite 2 angles are equal.
So the angle [tex]55x - 1[/tex] is for the interior of the triangle too. Now due to angle sum postulate, [tex]36x + 55x -1 + 90 = 180[/tex]
Simplify this and you get: [tex]91x = 91[/tex]
Hence, [tex]x = 1[/tex]
Now, we need to find the value of angle [tex]A[/tex] which is [tex]36x[/tex] which is basically [tex]36 * 1[/tex] when we replace [tex]x[/tex] with [tex]1[/tex].
Henceforth, angle [tex]A[/tex] is equal to [tex]36[/tex] so option [tex]C[/tex] is correct. :D
===================================================
Explanation:
Place point B at the intersection of the lines where the 90 degree angle is located.
Place point C at the other intersection point.
So we have triangle ABC.
Since we have a right angle, this means angle B is 90 degrees.
Angle C is 55x-1 degrees because it's vertical to the angle shown. Vertical angles are congruent.
See the diagram below.
-------------
From here we use the idea that all three angles of any triangle always add to 180
A+B+C = 180
(36x) + (90) + (55x-1) = 180
91x+89 = 180
91x = 180-89
91x = 91
x = 91/91
x = 1
Use this x value to find angle A and C
A = 36x = 36*1 = 36
C = 55x-1 = 55*1-1 = 54
Finding angle C is optional since your teacher just wants angle A, but it's useful to help check our answer
A+B+C = 36+90+54 = 180
So this confirms we have the right x value.
Related Questions
If measure of angle 1 = 2x+6 and measure of angle 2 = 8x+4 where angles 1 and 2 are supplementary, then how much is the actual measure of angle 1?\
Answers
Answer:
The actual measure of ∠1 = 40°
Step-by-step explanation:
We are given: ∠1 = 2x+6 and ∠2 = 8x+4
and both angles are supplementary. we need to find the actual measure of ∠1
Supplementary angles: If the angles are supplementary their sum is equal to 180°
In our case ∠1 +∠2 = 180°
2x+6+8x+4=180
Solving the equation to find x, then we can find the actual measure of ∠1
[tex]2x+6+8x+4=180\\10x+10=180\\10x=180-10\\10x=170\\x=170/10\\x=17[/tex]
So, value of x = 17
Now, finding actual measure of ∠1 by putting x=17 in equation 2x+6
[tex]\angle1=2(17)+6\\\angle1=34+6\\\angle1=40[/tex]
So, the actual measure of ∠1 = 40°
Find the value of x !!!!
Answers
Answer:
x=147
Step-by-step explanation:
Because of the rule of the exterior angle, x=the sum of the two angles that are given. x=50+97
Hope I helped! Please mark Brainliest!!!
(SAT Prep) In the figure, what is the value of y?
A. 20°
B. 90°
C. 40°
D. 30°
Answers
Answer:
60 degrees
I checked in the RSM system
The value of angle y is C. 40°.
Using Straight angle property we can solve this question.
First we'll find the value of x using the straight angle property:
x+ 0.5x + 3x = 180°
4.5x = 180°
x = 180°/4.5
x = 40°
Now using vertically opposite angles property we get:
0.5x = 0.5y
0.5* 40° = 0.5y
20° = 0.5y
y = 20/0.5
y = 40°
Therefore, the value of y is 40°.
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function or not a function.
Answers
[30 POINTS+BRAINLIEST]
Factory materials traverl faster on (conveyor belt or conveyor belt 2)?
because?
A.) The slope of m(x) is greater than the slope of p(x)
B.) The slope of p(x) is greater than the slope of m(x)
C.) The slope of m(x) is twice the slope of (px)
D.) The slope of p(x) is half the slope of m(x)
Answers
Answer:
your ansewer would be C
Step-by-step explanation:
i hope this helped you
The slope is the intensity of inclination thus the slope of p(x) is greater than the slope of m(x) thus option (A) is correct.
What is the slope?A slope is a tangent or angle at a point or a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.
As per the given function,
p(x) = 157.1x
p(x)/x = slope = 157.1
The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by
Slope = (y₂ - y₁)/(x₂ - x₁)
In the function m(x) the slope will be as,
Slope = (188.4 - 125.6)/(3 - 2)
Slope = 62.8
Hence "The slope is the intensity of inclination thus the slope of p(x) is greater than the slope of m(x)".
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True or false, f(x) is a function
Answers
Answer:
Step-by-step explanation:
True!!
steve jobs sells apples and gets paid a minimum weekly salary of $660. He also gets paid on a graduated commission scale. He gets 4% of the first $2000 and 6% of anything over $2000. How much would he earn if he sold $15,000 worth of apples last week?
A. 1520
B. 1500
C. 640
D. 660
Answers
Answer:
Step-by-step explanation:
660 flat salary
2000*4%= 80
13000*6%=780
660+80+780= 1520
Answer:
660+80+780= 1520
Step-by-step explanation:
Hope that helps
lemme know
Please help
Find the distance between points P(2, 2) and Q(7, 4) to the nearest tenth.
7
5.4
10.8
4.5
Answers
Answer:
5.4
Step-by-step explanation:
since they are 5 apart on the x-axis, and 2 on the y-axis. You'd multiply by the power of 2 add both of them together and square root. Giving you about 5.38516 rounding to the nearest tenth of 5.4
factorise
3x^2+22x+35
please give me this
Answers
Answer:
(3x + 7) (x + 5)
Step-by-step explanation:
Hope this helped :)
Answer:
(3x+7)(x+5)
Step-by-step explanation:
help pls
6 x (2-8) + 4
Answers
Answer:
-32
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
In Solving This You will Need To;
*First You Open The Bracket Which is
6×(2-8)+4
6×2-8+4
*So after this you will multiply the 6 by the 2 which is going to be;
12-8+4
*So after you have multiplied 6 by 2 you can choose to subtract the 8 from the 12 or you can also choose to add the -8+4 either way you choose you're going to arrive at the same answer. So I choose to subtract 8 from the 12 so it's going to be;
4+4
Then you add the four plus 4 so the final answer will be 8
(If I chose to add the -8+4 it would have been -4 so 12-4 would have also given me 8 so any step is acceptable)
Help me please please
Answers
Answer:
8/5 or 1.6
Step-by-step explanation:
Rise over run.
pls i need help
i will mark brainliest if correct and for 100 points
solve with all work
1/2(4x-2)=6x-13
Answers
Answer:
x=3
Step-by-step explanation:
How to solve your question
Your question is 1/2(4x-2)=6x-3
Solve
1.Combine multiplied terms into a single fraction
1/2(4x-2)=6x-13
1(4x-2) divided by 2 =6x-13
2.Multiply by 1
3 Subtract 6x from both sides of the equation
4.Simplify
5.Multiply all terms by the same value to eliminate fraction denominators
6.simplify
7.Add 2 to both side of equation
8.Simplify
9.Divide both sides of the equation by the same term
10.Simplify
Step-by-step explanation:
Combine multiplied terms into a single fraction
1/2 (4x-2) / 2 = 6x - 13
1 (4x -2) /2 = 6x -13
Multiply by 1
1 (4x - 2) / 2 = 6x - 2
4x - 2 / 2 = 6x-13
Subtract 6x from both sides of the equation
4x - 2 / 2 = 6x - 3
4x - 2 /2 - 6x =6x -13 -6x
Simplify
Combine like terms
4x -2 /2 -6x = -13
Multiply all terms by the same value to eliminate fraction denominators
4x -2 /2 -6x = -13
2 (4x-2 /2 -6x) =2(-13)
Simplify
Distribute
Cancel multiplied terms that are in the denominator
Combine like terms
Multiply the numbers
-8x -2 = -26
Add 2 to both sides of the equation
-8x -2= -26
-8x -2+2 = -26+2
Simplify
Add the numbers
Add the numbers
-8x = -24
Divide both sides of the equation by the same term
-8x = -24
-8x / -8 = -24 / -8
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=3
Solution
=3
b) When heated an iron bar expands by 0.2%. If the increase in length is 1 cm,
what is the original length of the bar ?
Answers
Simple algebra.
When we convert this to an equation we get: 0.2% of something is equal to 1 unit.
So here's the equation: [tex]0.02x = 1[/tex]
After we transpose [tex]0.02[/tex], the equation become: [tex]x = \frac{1}{0.02}[/tex].
Divide [tex]1[/tex] with [tex]0.02[/tex] and you get [tex]50[/tex].
So the length of the original bar is [tex]50[/tex] cm. :D
Find derivative for 3x³ + 2xy + 4y²=0.
Answers
Answer:
[tex]y'=\frac{-9x^2-2y}{2(x+4y)}[/tex]
General Formulas and Concepts:
Algebra
Equality PropertiesCalculus
Chain Rule: [tex]\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]Basic Power Rule: f’(x) = c·nxⁿ⁻¹Derivative of a constant equals 0Implicit DifferentiationStep-by-step explanation:
Step 1: Define equation
3x³ + 2xy + 4y² = 0
Step 2: Find 1st Derivative
Set up Derivative: [tex]\frac{dy}{dx} [3x^3 + 2xy + 4y^2 = 0][/tex]Take Implicit Differentiation: [tex]9x^2+(2y+2xy')+8yy'=0[/tex]Step 3: Find Derivative (Solve for y')
Define: [tex]9x^2+(2y+2xy')+8yy'=0[/tex]Move 9x² over: [tex]2y+2xy'+8yy'=-9x^2[/tex]Move 2y over: [tex]2xy'+8yy'=-9x^2-2y[/tex]Factor y': [tex]y'(2x+8y)=-9x^2-2y[/tex]Isolate y': [tex]y'=\frac{-9x^2-2y}{2x+8y}[/tex]Factor GCF: [tex]y'=\frac{-9x^2-2y}{2(x+4y)}[/tex]Answer:
[tex]\frac{dy}{dx}= -\frac{9x^2+2y}{2(x+4y)}[/tex]
Step-by-step explanation:
Find the derivative of [tex]3x^3 + 2xy + 4y^2 = 0[/tex].
In order to find the derivative of this function, [tex]\frac{dy}{dx}[/tex], we can start by noticing that there are two variables in this problem, x and y.
Since we want the derivative with respect to x, every time we encounter the variable “y” in this problem we can change it to [tex]\frac{dy}{dx}[/tex]. We will see this happen later on in the solving process by using implicit differentiation.
Let’s start by taking the derivative of the entire function:
[tex]\frac{d}{dx} (3x^3 + 2xy + 4y^2 = 0)[/tex]Using the Power Rule and the Product Rule, we can perform implicit differentiation on this equation. Let’s take the derivative of each separate piece in this function:
[tex]3x^3 \rightarrow 3(3x^3^-^1) \rightarrow 9x^2[/tex] Power Rule
[tex]2xy \rightarrow (2x \times \frac{dy}{dx} + y \times 2)[/tex] Product Rule
[tex]4y^2 \rightarrow 2(4y) \times \frac{dy}{dx} \rightarrow 8y \times \frac{dy}{dx}[/tex] Power Rule & Implicit Differentiation
Let’s combine these steps into one comprehensive operation:
[tex]9x^2 + (2x \times \frac{dy}{dx} + y \times 2) + 8y \times \frac{dy}{dx} = 0[/tex]Simplify.
[tex]9x^2 + 2x\frac{dy}{dx} + 2y + 8y \frac{dy}{dx} = 0[/tex]Keep all terms containing [tex]\frac{dy}{dx}[/tex] on the left side of the equation and move everything else to the right side of the equation. This way we can solve for [tex]\frac{dy}{dx}[/tex], which, in this case, is the derivative of the original function.
Subtract [tex]9x^2[/tex] and [tex]2y[/tex] from both sides of the equation.
[tex]2x\frac{dy}{dx} +8y \frac{dy}{dx} = -9x^2-2y[/tex]Factor out dy/dx from the left side of the equation.
[tex]\frac{dy}{dx}(2x+8y) = -9x^2-2y[/tex]Divide both sides of the equation by (2x + 8y).
[tex]\frac{dy}{dx}= \frac{-9x^2-2y}{2x+8y}[/tex]You can leave it in this form, or you can convert this to either:
[tex]\frac{dy}{dx}= \frac{-9x^2-2y}{2(x+4y)}[/tex][tex]\frac{dy}{dx}= -\frac{9x^2+2y}{2(x+4y)}[/tex]if f(x)=x^2+1 and g(x) =3x+1, find f(2) + g(3).
Answers
Answer:
15 brainliest please
Step-by-step explanation:
f(x)=x^2+1
f(2)=(2)^2 +1
= 5
g(x)=3x+1
g(3)=3(3)+1
= 10
5+10= 15
Find the slope of the line that goes through the given points. (-7, - 8) and (-2, 9)
Answers
Answer:
17/5 or 3.14
Step-by-step explanation:
Slope (m) = ΔY/ΔX = 17/5 = 3.4
ΔX = -2 + 7 = 5
ΔY = 9 + 8 = 17
Distance (d) = √ΔX2 + ΔY2 = √314 = 17.720045146669
Equation of the line:
y = 3.4x + 15.8
When x=0, y = 15.8
When y=0, x = -4.6470588235294
Hope I helped :)
Would appreciate Brainliest :)
answer the question below yoyoyoyoyoyoyo
Answers
what is the interior of a decagon
Answers
Answer:
Decagon Definitions A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° 144 ° and they all add up to 1,440° 1,440 °.
Step-by-step explanation:
really hope this helps, Good luck ^w
What is the value of 624 to the power of 1/4
Answers
Any number raised to a fraction just means that you take the number to the power of the numerator of the fraction and then root it by the denominator of the fraction.
In [tex]\frac{1}{4}[/tex], we raise 624 to [tex]1[/tex] and then root it by [tex]4[/tex] which gives:
[tex]\sqrt[4]{624^1}[/tex] = [tex]\sqrt[4]{624} =[/tex] approximately [tex]5[/tex] as [tex]5^4[/tex] is [tex]625[/tex].
[tex]4.997[/tex] :D
Find the derivative:
f(x)=tan(x^2+5)
Answers
Answer:
[tex]f'(x)=2x \sec^2(x^2+5)[/tex]
Step-by-step explanation:
To differentiate this we will need to use the chain rule:
[tex][h(g(x))]'=g'(x) \cdot h'(g(x))[/tex].
We will also have to keep in mind how to differentiate the following:
[tex]\tan(\theta)[/tex] with repect to [tex]\theta[/tex]
[tex]x^2+5[/tex] with respect to [tex]x[/tex].
[tex]f(x)=\tan(x^2+5)[/tex]
Derivative of both sides:
[tex]f'(x)=(x^2+5)'\cdot (\tan)'(x^2+5)[/tex]
[tex]f'(x)=(2x+0) \cdot \sec^2(x^2+5)[/tex]
[tex]f'(x)=2x \sec^2(x^2+5)[/tex]
PLEASEEEE HELPPPPPP WIll add extra pointtss
Answers
Explanation :-
As B is midpoint of SR :- SB = BR and if. SR = 6x then SB = 3x
AC parallel SR ( MID POINT THEOREM )
Hence AC parallel SB
Similarly , AB parallel CS (MID POINT THEOREM)
So ABCS is a parallelogram
And we know that in parallelogram opposite sides are equal so AC = SB
So now we have AC = 5x - 8 and SB = 3x
So, 5x - 8 = 3x
5x - 3x = 8
2x = 8
x = 4
Find the are of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer.
x = 3in
The area of the square is ___ square inches. The area is the square and the length of its side (are/are not) directly proportional quantities.
Answers
Answer:
9 in and are not
Step-by-step explanation:
Answer:9 are not
Step-by-step explanation:big brain
simplify!!
6x - 2+7x
Answers
Answer:
13x-2
Step-by-step explanation:
Answer:
13x - 2
Step-by-step explanation:
6x - 2 + 7x
13x - 2
Make t the subject of the formula
Answers
t = (3m -1) / (m - 1)
What is subject of formula?The subject of a formula is the variable that is being worked out. It can be recognized as the letter on its own on one side of the equals sign.
In order to change the subject of a formula, or rearrange a formula, items in the formula need to be rearranged so a different variable is the subject. Knowledge of solving equations and inverse operations is very useful.
Given formula.
m = t + 1 / t - 3
m ( t - 3) = t - 1
mt - 3m = t - 1
mt - t = 3m - 1
t(m - 1) = (3m - 1)
t = (3m -1) / (m - 1)
Hence, the formula becomes t = (3m -1) / (m - 1).
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Take the parent graph y=x2
What would happen if the equation were to change to y=(x-3)2
Answers
Answer:
The first option is the correct answer.
Step-by-step explanation:
The graph would move to the right 3 units.
Algebraically determine whether the following function is Even, Odd, or Neither.
f(x) = x^3 - 2x
PLEASE SHOW WORK
Answers
Answer:
b. odd
Step-by-step explanation:
f(-x)^3-2x(-x)
f(-x)=-x^3+2x
f(-x)=-(x^3-2x)
f(-x)=-f(x)
The given function f(x) = x³ - 2x is an odd function.
Given that,
To determine whether the given function is odd, even, or neither.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The given function is f(x) = x³ - 2x,
For the given function to be odd f(-x) = -f(x)
put x = -x in the function,
f(-x) = (-x)³ - 2(-x)
f(-x) = -x³ + 2x
Thus. the given function f(x) = x³ - 2x is an odd function.
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the perimeter of an isosceles triangle in which the equal sides measures 12cm each and third side is 8cm_____. please show the working too ^^
Answers
Answer:
The perimeter of the isosceles triangle is 32 centimeters
Step-by-step explanation:
The perimeter of any figure is the sum of the lengths of outline sides
Let us use this fact to solve our question
∵ The perimeter of the triangle is the sum of the lengths of its 3 sides
∵ The triangle is an isosceles triangle
∵ The length of each two equal sides is 12 centimeters
∵ The length of the third side is 8 centimeters
→ Add the lengths of the 3 sides
∴ The perimeter of the triangle = 12 + 12 + 8
∴ The perimeter of the triangle = 32 centimeters
∴ The perimeter of the isosceles triangle is 32 centimeters
Solve the inequalities by graphing. Identify the graph that shows the following equations.
5x + 6y > 1
y - x < 0
Answers
Answer:
Option (7)
Step-by-step explanation:
5x + 6y > 1
6y > -5x + 1
y > [tex]\frac{1}{6}(-5x+1)[/tex]
y-intercept of the line = [tex]\frac{1}{6}=0.167[/tex]
Shaded area will be above the dotted line y = [tex]-\frac{1}{5}x+\frac{1}{6}[/tex]
y - x < 0
y < x
As y-intercept of the line is zero, given inequality will pass through (0, 0).
And the shaded area will be below the line.
Therefore, graph shown in Option (7) will be the correct option.
Courtney biked 8 laps around a park. The app on her phone showed she biked 11.12 miles. What is the constant of proportionality that relates the distance, y, to the number of laps, x?
A.
11.12
B.
1.39
C.
8
D.
3.12
Reset
Answers
Answer: 1.39 Step-by-step explanation: 11.12/8=1.39
What is the Bing Ban?
Answers
Answer:
Bing Bang?
Step-by-step explanation:
do you mean the Big Bang?
