Can someone show me step by step on how to solve this, I'd very much appreciate the help. In the figure below, what is the value of x degrees?
A.180 degrees
B.80 degrees
C.68 degrees
D.32 degrees
Answers
Answer:
D.
Step-by-step explanation:
According to the Exterior Angle Theorem, the exterior angle is equal to the sum of the interior angles opposite from the exterior angle. In other words:
[tex]68+x=100[/tex]
Solve for x. Therefore:
[tex]m\angle x=32^\circ[/tex]
Our answer is D.
Answer:
we now that all the angles of a triangle equal 180 so we just have to add up angle a and b to get x or angle c
but angle b is the outside angle and we can find this angle by subtracting 100 by 180 to get 80 so
80+68= 148 so
180-148=32
so the answer is
D: 32 degrees
Hope This Helps!!!
Related Questions
Como se encuentra la mediana?
Answers
Answer:
Para encontrar la mediana: Organice los puntos de datos de menor a mayor. Si el número de puntos de datos es impar, la mediana es el punto de datos intermedio de la lista. Si el número de puntos de datos es par, la mediana es el promedio de los dos puntos de datos intermedios de la lista.
Step-by-step explanation:
que tenga un lindo día
If the weight of 12 sheets of thick paper is 40 grams, how many sheets of the same paper would weigh 2500 grams
Answers
Answer:
750 is the answer..
Step-by-step explanation:
(12/40)*2500
can someone please help me with this i dont have much time left
Answers
Answer:
Step-by-step explanation:
sin A = opposite/hypotenuse
=5/13
cos A =adjacent/hypotenuse
=12/13
tan A =opposite/adjacent
=5/12
cosec A = hypotenuse/opposite
=13/5
sec A = hypotenuse/adjacent
=12/5
cot A = adjacent/opposite
=12/5
Someone please ill mark you the brainliest! No cheating or else i’ll report you.
Answers
Answer:
............................
can someone tell me how to do this? with steps?
Answers
Answer:
Step-by-step explanation:
In Δ AFB,
∠AFB + ∠ABF + ∠A = 180 {Angle sum property of triangle}
90 + 48 + ∠1 = 180
138 + ∠1 = 180
∠1 = 180 - 138
∠1 = 42°
FC // ED and FD is transversal
So, ∠CFD ≅∠EDF {Alternate interior angles are congruent}
∠2 = 39°
In ΔFCD,
∠2 + ∠3 + ∠FCD = 180
39 + ∠3 + 90 = 180
129 +∠3 = 180
∠3 = 180- 129
∠3 = 51°
Find the value of f(-4)?
Answers
Answer:
Step-by-step explanation:
This question is asking you to find the value of y when x = -4. If you locate the x value of -4, y = -10 here. Therefore, f(-4) = -10 and in coordinate form, (-4, -10).
Which word describes the slope of the line?
O Positive
O Negative
O Zero
O Undefined
Answers
Answer:
Option (1)
Step-by-step explanation:
Slope of a line is defined by the rule,
Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
Here, Rise and Run of the line are positive.
Therefore, sign of the slope of the line will be positive.
Option (1) will be the correct option.
The mean sustained wind velocity, v, can be determined by the equation v = 6.3 StartRoot 1013 minus p EndRoot, where p is the air pressure, in millibars, at the center of the hurricane. What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second? 103 millibars 194 millibars 363 millibars 910 millibars
Answers
Answer:
910 millibars
Step-by-step explanation:
According to the Question,
Given That, The mean sustained wind velocity equation [tex]v=6.3*\sqrt{1013-p}[/tex] And The mean sustained wind velocity is 64m/s (v=64) . where, p is the air pressure(in millibars).Now, the air pressure at the center of a hurricane when the mean sustained wind velocity is 64 m/s is
[tex]64=6.3*\sqrt{1013-p}\\\frac{64}{6.3} = \sqrt{1013-p}\\[/tex]
on squaring both sides we get,
(10.1587)² = 1012 - p ⇒ p = 908.80≈910millibar
p = 910millibars air pressure .
Answer: 910
Step-by-step explanation: Did the review and got it right
What is the height of the pyramid ???
Answers:
A: 7cm
B: 5cm
C: 14 cm
D: 10 cm
Answers
Given:
[tex]m\angle ACD=45^\circ[/tex]
Point B is the center of the base.
Each side of the base = 10 cm
To find:
The height of the pyramid.
Solution:
It is given that the measure of each side of the base is 10 cm. It means the base is square. The length of the diagonal of a square is:
[tex]d=a\sqrt{2}[/tex]
Where, a is the side length of the square.
Putting [tex]a=10[/tex] in the above formula, we get
[tex]d=10\sqrt{2}[/tex]
It is given that point B is the center of the base. It means point B bisect each diagonal of a base. So,
[tex]BC=\dfrac{d}{2}[/tex]
[tex]BC=\dfrac{10\sqrt{2}}{2}[/tex]
[tex]BC=5\sqrt{2}[/tex]
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In triangle ABC,
[tex]\tan (45^\circ)=\dfrac{AB}{BC}[/tex]
[tex]1=\dfrac{h}{5\sqrt{2}}[/tex]
[tex]5\sqrt{2}=h[/tex]
[tex]7.0710678=h[/tex]
Round the value to the nearest integer.
[tex]h\approx 7[/tex]
The height of the pyramid is about 7 cm. Therefore, the correct option is A.
select the right answer
Answers
Answer:
Blurry po
Step-by-step explanation:
Pwede kunan nyu ulit
Help me plz I’m stuck!!! If a line passes through the points (2,2) and (4,5), the equation of the line is
Answers
Step-by-step explanation:
the answer is in the above image
Any help on this please ?
Answers
Answer:
x=35
Step-by-step explanation:
because the angles are next to each other they are supplementary, which makes the total of the angle 180 degrees.
the equation would be:
180=x+14 +4x -9
add the like terms
180=5x =5
then subtract 5 from both sides
175=5x
then divide five from both sides
x=35
NEED HELP ASAP AS SOON AS POSSIBLE, WILL GIVE 69 POINTS
A city park commission received a donation of playground equipment from a parents' organization. The area of the playground needs to be 256 square yards for the children to use it safely. The playground will be rectangular.
The city will also put a fence around the playground. The perimeter, P, of the fence includes the gates. To save money, the city wants the least perimeter of fencing for the area of 256 square yards.
Jovana was trying to find a formula for that perimeter with one side 8 yards longer than the other side using the area. In which step did she make a mistake?
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Step 6:
Step 7:
Explain her mistake. What is the correct formula?
Answers
Answer:
Explanation
Jovana needs to solve the equation x(x+8) = 256 for x
To do so, first distribute and get everything to one side
x*(x+8) = 256
x*x+x*8 = 256
x^2+8x = 256
x^2+8x-256 = 0
Now use the quadratic formula (a = 1, b = 8, c = -256)
x=−b±b2−4ac/√2a
x=−(8)±82−4(1)(−256)/√2(1)
x=−8±1088/√2
x≈−8±32.98485/2
x≈−8+32.98485/2 or x≈−8−32.98485/2
x≈24.98485/2 or x≈−40.98483/2
x≈12.49242 or x≈−20.49242
Another approach is to graph x^2+8x-256 and locate the roots as shown below
wwwdotdesmosdotcom/calculator/0miqroxamw
which leads to the same approximate solutions
Ignore the negative solution because a negative length or width makes no sense.
So the only practical x value is roughly 12.49242
If x = 12.49242, then
x+8 = 12.49242+8 = 20.49242
Therefore
Width = W = 12.49242
Length = L = 20.49242
which are approximate
The perimeter is approximately
P = 2*(L+W)
P = 2*(20.49242+12.49242)
P = 65.96968
Side Note:
A = L*W = 20.49242*12.49242 = 255.9999174564
which is fairly close to 256
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. An experiment consists of
drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the
number of blue marbles to each outcome.
What is the probability that the random variable has an outcome of 3?
a. 24%
b. 39%
c. 14%
d. 0%
Answers
Answer:
B
Step-by-step explanation:
A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line?
Answers
Answer:
(5,4) & (8,-10)
Step-by-step explanation:
First step:
[tex]y=mx+b[/tex]
You can use any number you want for b (I used 4)
[tex]y=-\frac{4}{5} x+4[/tex]
Make x=0
[tex]y=-\frac{4}{5} (0)+4[/tex]
[tex]y=4[/tex]
Make y=0
[tex]0=-\frac{4}{5} x+4[/tex]
Subtract 4 from both sides
[tex]-4=-\frac{4}{5} x[/tex]
Divide both sides by [tex]-\frac{4}{5}[/tex]
[tex]x=5[/tex]
Second step:
In order to make a line perpendicular to another the slope of the second line will be the negative inverse of the first line. So [tex]m=-\frac{4}{5}[/tex] will be [tex]m=\frac{5}{4}[/tex] for the second line.
Then you just need to repeat the process in first step to get the intercepts. (Again I used a random number like -10 for b)
Answer my question please!! i will give brainlest!
Answers
Answer:
hello u so cool i admire you <3
The test has 8 questions that are worth 5 points and 30 questions that are worth 2 points.
can i get the answer for this question would be verrryy much appreciated:)
Answers
Answer
The answer is EH= 50
A boy spends 3/8 of his journey in playing games on his mobile.Then 4/5 of the remaining time talking to his sister.If he has 5 min to complete his journey,what is the total time of the journey
Answers
Answer:
40 mins
Step-by-step explanation:
time spent talking to his sister = (1 - 3/8) x 4/5 =
5/8 x 4/5 = 1/2
total fraction of time spent playing games and talking to his sister :
[tex]\frac{3}{8} + \frac{1}{2}[/tex]
[tex]\frac{ 3 + 4}{8}[/tex] = [tex]\frac{7}{8}[/tex]
fraction of time remaining to complete the journey = 1 - 7/8 = 1/8
let t = total journey time
1/8 x t = 5
multiply both sides of the equation by 8
t = 5 x 8 = 40 minutes
more help im dum lol
Answers
Answer:
32780
Step-by-step explanation:
Answer:
32,780
Step-by-step explanation:
It should be 30,000
What is the inverse fraction of f(x)=x/x-2
Answers
Answer:
[tex]inverse \ of \ f(x) : \frac{2x}{x-1}[/tex]
Step-by-step explanation:
[tex]y = \frac{x}{x-2}\\\\swap\ x\ and \ y\\\\x = \frac{y}{y-2}\\\\x(y -2) = y\\\\xy - 2x = y\\\\xy - y = 2x\\\\y(x-1)= 2x\\\\y = \frac{2x}{(x-1)}[/tex]
Step-by-step explanation:
Given two one-to-one functions f(x)f(x) and g(x)g(x) if
(f∘g)(x)=xAND(g∘f)(x)=x(f∘g)(x)=xAND(g∘f)(x)=x
then we say that f(x)f(x) and g(x)g(x) are inverses of each other. More specifically we will say that g(x)g(x) is the inverse of f(x)f(x) and
denote it by
g(x)=f−1(x)g(x)=f−1(x)
Likewise, we could also say that f(x)f(x) is the inverse of g(x)g(x) and denote it by
f(x)=g−1(x)
Given the function f(x)f(x) we want to find the inverse function, f−1(x)f−1(x).
First, replace f(x)f(x) with yy. This is done to make the rest of the process easier.
Replace every xx with a yy and replace every yy with an xx.
Solve the equation from Step 2 for yy. This is the step where mistakes are most often made so be careful with this step.
Replace yy with f−1(x)f−1(x). In other words, we’ve managed to find the inverse at this point!
Verify your work by checking that (f∘f−1)(x)=x(f∘f−1)(x)=x and (f−1∘f)(x)=x(f−1∘f)(x)=x are both true. This work can sometimes be messy making it easy to make mistakes so again be careful.
Explanation:
Setting y=f(x)
y=xx−2
this may be rearranged (intermediate steps shown) as follows
y(x−2)=x
x⋅y−2y=x
x⋅y−x=2y
x(y−1)=2y
x=2yy−1
This expression shows x in terms of y.
That is,
f−1(x)=2xx−1
Setting y=f(x)
y=xx−2
this may be rearranged (intermediate steps shown) as follows
y(x−2)=x
x⋅y−2y=x
x⋅y−x=2y
x(y−1)=2y
x=2yy−1
This expression shows x in terms of y.
That is, it is the inverse of function f(x).
That is,
f−1(x)=2xx−1
as required.
What is the factored form of x2 - 10x + 21?
A. (x - 3)(x - 7)
B. (x - 3)(x + 7)
O
C. The expression is already fully factored.
D. x(x - 10) + 21
Answers
A : (x-3);(x-7)
make x the subject of n = jx + h
I'M SORRY GUYS I RLLY HATE MATHS
Answers
Answer:
x = (n-h)/j
Step-by-step explanation:
n = jx + h
Subtract h from each side
n-h = jx+h-h
n-h = jx
Divide by j
(n-h)/j = jx/j
(n-h)/j = x
Answer:
x = [tex]\frac{n-h}{j}[/tex]
Step-by-step explanation:
Given
n = jx + h ( subtract h from both sides )
n - h = jx ( isolate x by dividing both sides by j )
[tex]\frac{n-h}{j}[/tex] = x
Which of the following is equivalent to (2x^3)(7x^4)?
Answers
Answer:
A: (2 times 7)x^3 plus 4
Step-by-step explanation:
2 times 7 is 14 so 14 in the parentheses and then add 3 plus 4 equals 7.
14x^7.
⚠️6TH GRADE MATH PLEASE HELP I WILL MARK CROWN⚠️
Answers
Answer:
0.40d
d - 0.60d
Step-by-step explanation:
d - 0.60
This doesn't work because it wants 60% 0.60 without the percent is a decimal number, and is not 60% of d.
100% - 60% = 40%
0.40d works because it is multiplying 0.40 and d which is also 40%.
d - 0.60d works because it is multiplying 0.60 and d which is also 60% and then subtract it from d.
0.60d doesn't work because it want the discounted price not the discount.
1 - 0.60d doesn't work because we don't know that d = 1, so it is subtracting the discount from 1 not d.
Determine the value of x in the diagram,
108°
72
1080
Answers
Answer:
72
Step-by-step explanation:
parallel sides= same angle.
also alternate angles theorem shows that if angles that alternate are the same. 72,108,72,108
What is the tangent ratio for
A) 5/3
B) 5/4
C) 4/3
D) 3/4
Please help!!
Answers
Answer:
Correct answer is
C) 4/3
A bag has 3 red marbles and 12 blue marbles. Half of the blue marbles are made of plastic. A marble is selected at random from the bag. What is the probability that it is a blue, plastic marble?
Answers
Answer: 2/5
Step-by-step explanation:
There are 15 total marbles in the bag. 12 are blue, with only 6 made from plastic. 6/15 reduced is 2/5
I need help with angles in a triangle to find x
I need help with these. please :(
Answers
Answer:
[tex]a. \: \: x = {60}^{o} [/tex]
[tex]b. \: \: x = {24}^{o} [/tex]
Step-by-step explanation:
Hint :Sum of angles = 180°
Simplify :[tex]a. \: \: {x}^{o} + {40}^{o} + {80}^{o} = {180}^{o} [/tex]
[tex] {x}^{o} + {120}^{o} = {180}^{o} [/tex]
[tex] {x}^{o} = {180}^{o} - {120}^{o} [/tex]
[tex] {x}^{o} = {60}^{o} [/tex]
[tex]b. \: 96+(x+12)+2x=180[/tex]
[tex]x+108+2x=180[/tex]
[tex]3x+108=180[/tex]
[tex]3x=180−108[/tex]
[tex]3x=72[/tex]
[tex]x = \frac{72}{3} [/tex][tex]x = 24[/tex]
Hope it is helpful...PLEASE HELP!!! If the quadratic equation has the form y = ax 2and y = ax 2+ c, then their axis of symmetry must always be?
Answers
Answer:
axis of symmetry , x = 0
Step-by-step explanation:
For the quadratic equation of the form [tex]ax^2 + bx + c[/tex],
the axis of symmetry is the straight line [tex]x =- \frac{b}{2a}[/tex]
( i) Given equation y = ax² + 0x + 0
b = 0, therefore axis of symmetry is x = 0
( ii ) Second equation y = ax² + 0x + c
b = 0, therefore axis of symmetry is x = 0
Which is the most convenient placement of an isosceles triangle in the coordinate plane for finding the side lengths?
Answers
Answer:
The bottom left
Step-by-step explanation:
