Answers
Answer:
x = 73
Step-by-step explanation:
The measure of the sum of the arcs in a circle = 360°.
Sum the given arc measures and equate to 360, that is
95 + 52 + 67 + 2x = 360
214 + 2x = 360 ( subtract 214 from both sides )
2x = 146 ( divide both sides by 2 )
x = 73
Related Questions
Please answer this question now
Answers
Answer:
541.4 m²
Step-by-step Explanation:
Step 1: find m < V
V = 180 - (50+63) (sum of the angles in ∆)
V = 67
Step 2: find side length of XW using the law of sines
[tex] \frac{XW}{sin(V)} = \frac{XV}{sin(W)} [/tex]
Where,
V = 67°
W = 63°
XV = 37 m
XW
[tex] \frac{XW}{sin(67)} = \frac{37}{sin(63)} [/tex]
Multiply both sides by sin(67) to solve for XW
[tex] \frac{XW}{sin(67)}*sin(67) = \frac{37}{sin(63)}*sin(67) [/tex]
[tex] XW = \frac{37*sin(67)}{sin(63)} [/tex]
[tex] XW = 38.2 m [/tex] (to nearest tenth)
Step 3: find the area using the formula, ½*XW*XV*sin(X)
area = ½*38.2*37*sin(50)
Area = 541.4 m² (rounded to the nearest tenth.
30% of a number is 45 what is the number ?
Answers
Hey there! I'm happy to help!
When talking about percents, the word "is" usually means equals. Let's use this to solve an equation! We will call our number n. Note that 30% is equal to 0.3 in decimal form because 0.3 is 30% of one! :D
0.3n=45
To solve, we need to isolate the n. To do this, we divide both sides by 0.3 because this cancels out the 0.3 that is being multiplied by n and it shows us what n will then equal.
0.3n÷0.3=45÷0.3
n=150
Therefore, 30% of 150 is 45. Try multiplying 0.3 by 150 and you will get 45!
Have a wonderful day! :D
Text: these two triangles are similar
Values from left to right: 10, 12, 9
What is the area of the shaded area
Answers
Answer:
26.25 cm²
Step-by-step explanation:
The area of the shaded part is the area of the shaded triangle subtract the area of the white triangle.
Since the triangles are similar then the ratios of corresponding sides are equal.
let the height of the white triangle be h, then
[tex]\frac{12}{9}[/tex] = [tex]\frac{10}{h}[/tex] ( cross- multiply )
12h = 90 ( divide both sides by 12 )
h = 7.5
shaded area = [tex]\frac{1}{2}[/tex] × 12 × 10 - [tex]\frac{1}{2}[/tex] × 9 × 7.5 = 60 - 33.75 = 26.25 cm²
Sketch the graph of y=-3(x-3)2+4 and identify the axis of symmetry.
Answers
Answer:
The axis of symmetry of parabola is the equation where it cuts the middle of the graph.
So the axis of symmetry is x = 2 .
What are the square roots of; (note: i think there are supposed to be 2 each) 36 12 1.96 0.64 400 25/36
Answers
Answer:
36 : 6 and -6
12 = [tex]2\sqrt{3} , -2\sqrt{3}[/tex]
1.96 =1.4 and -1.4
0.64 : 0.8 and -0.8
400 : 20 and -20
25/36 = 5/6 and -5/6
Step-by-step explanation:
we know that
(-x)^2 = x^2
ALSO
(x)^2 = x^2
thus, square of both negative and positive number is same positive number.
_________________________________________________
36 = 6*6
36 = -6*-6
hence
square roots of 36 is both -6 and 6
12 = 4*3 = [tex]2^2*\sqrt{3} *\sqrt{3}[/tex]
[tex]\sqrt{12} = 2\sqrt{3}[/tex]
also
12 = [tex]-2\sqrt{3} *-2\sqrt{3}[/tex]
[tex]\sqrt{12} = -2\sqrt{3}[/tex]
___________________________________
1.96 = 196/100 = (14/10)^2
1.96 = 196/100 = (-14/10)^2
hence
[tex]\sqrt{1.96} = 14/10 \ or -14/10[/tex]
_______________________________
0.64 = 64/100 = (8/10)^2 = 0.8^2
0.64 = 64/100 = (-8/10)^2 = (-0.8)^2
Thus, square root of 0.64 = 0.8 and -0.8
_________________________________
400 = 20^2
400 = (-20)^2
[tex]\sqrt{400} = 20\\\sqrt{400} = -20\\[/tex]
__________________________________
25/36 = (5/6)^2
25/36 = (-5/6)^2
[tex]\sqrt{ 25/36} = 5/6 \\\sqrt{ 25/36} = (-5/6[/tex]
Figure G is rotated 90Degrees clockwise about the origin and then reflected over the x-axis, forming figure H. On a coordinate plane, triangle G has points (negative 3, 1), (negative 1, 2), (negative 2, 5). Triangle H has points (2, negative 1), (1, negative 3), (5, negative 2). Which sequence of transformations will produce the same results?
Answers
Answer:
The 1st selection is appropriate.
_____
2nd: the rotation would need to be 90° CCW
3rd, 4th: rotation or double reflection will give the original orientation. This figure is reflected an odd number of times, so has its orientation reversed.
Hope it helps.. Mark brainliest
The sequence of transformations are reflection over the y-axis and then a rotation 90 clockwise about the origin.
What is rotation rule of 90°?Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).
Given that, figure G is rotated 90° clockwise about the origin and then reflected over the x-axis, forming figure H.
Vertices of triangle G are (-3, 1), (-1, 2) and (-2, 5).
The reflection of point (x, y) across the y-axis is (-x, y).
On reflection over x-axis, we get coordinates as (3, 1), (1, 2) and (2, 5)
90° clockwise rotation: (x, y) becomes (y, -x)
On 90° clockwise rotation, we get coordinates as (1, -3), (2, -1) and (5, -2)
Triangle H has points (2, -1), (1, -3), (5, -2).
Hence, the sequence of transformations are reflection over the y-axis and then a rotation 90° clockwise about the origin.
Learn more about the rotation of 90° counterclockwise here:
brainly.com/question/1571997.
#SPJ6
HELP ASAP PLEASE answer quickly
Answers
Answer:
A. [tex]\frac{3}{5}[/tex]
B. [tex]\frac{7}{10}[/tex]
C. B (you already got that right)
Step-by-step explanation:
To find the probability of something, we have to see how many times it happened over the total amount of attempts.
On Tuesday the target was hit 18 times in 30 attempts. So our probability fraction is [tex]\frac{18}{30}[/tex] which simplifies to [tex]\frac{3}{5}[/tex].
Looking at the total results, we can see Ben hit the target 84 times out of 120, so the fraction is [tex]\frac{84}{120}[/tex] which simplifies to [tex]\frac{7}{10}[/tex].
There’s always one rule of statistics/probability - the more data the better. If we want to create a more reliable probability, we’d want more data, and the total data gives us more than just Tuesday’s Data.
Hope this helped!
This is Algebra 1 functions and I'm struggling with this one function-
-1•f(-9)+7•g(6)=_____
Answers
Answer:
38
Step-by-step explanation:
f(-9) is the value of f(x) when x = -9. Therefore, f(-9) = 4 from the graph. Doing the same with g(6), we can see that g(6) = 6. Our expression becomes:
-1 * 4 + 7 * 6
= -4 + 42
= 38
what does a 9 round up to in the decimal when in the tenths place? for example if it is 30.98 and it says to round to the nearest tenths place what would the decimal be now?
Answers
the answer would end up rounding to 31. :)
Please help me as fast as you can. thanks
Answers
Answer:
<DEF = 40<EBF = <EDF = 56<DCF = <DEF =40<CAB = 84Step-by-step explanation:
In triangle DEF, we have:
Given:
<EDF=56
<EFD=84
So, <DEF =180 - 56 - 84 =40 (sum of triangle angles is 180)
____________
DE is a midsegment of triangle ACB
( since CD=DA(given)=>D is midpoint of [CD]
and BE = EA => E midpoint of [BA] )
According to midsegment Theorem,
(DE) // (CB) "//"means parallel
and DE = CB/2 = FB =CF
___________
DEBF is a parm /parallelogram.
Proof: (DE) // (FB) ( (DE) // (CB))
AND DE = FB
Then, <EBF = <EDF = 56
___________
DEFC is parm.
Proof: (DE) // (CF) ((DE) // (CB))
And DE = CF
Therefore, <DCF = <DEF =40
___________
In triangle ACB, we have:
<CAB =180 - <ACB - <ABC =180 - 40 - 56 =84(sum of triangle angles is 180)
[tex]HOPE \: THIS \: HELPS.. GOOD \: LUCK! [/tex]
y=8-2x. What is the value of y when x = 8?
Answers
Because the math problem is y=8-2x8
You multiple 2x8 which equals 16
You are then left with y=8-16
And 8-16 = -8
Answer:
y = -8
Step-by-step explanation:
Start by filling 8 in place of x
y = 8 - 2(8)
Multiply -2(8)
y = 8 - 16
Subtract 16 from 8
y = -8
Ava is buying paint from Amazon. Ava
needs 3/4 cup of blue paint for every 1
cup of white paint. Ava has 28 ounces
of white paint. How much blue paint
does he need?
Answers
Answer:
2.625 cups or 21 ounces
Step-by-step explanation:
Ava needs 3/4 cup of blue paint for every 1 cup of white paint. So, the ratio is 0.75 : 1.
She has 28 ounces of white paint. But, you have to convert ounces to cups.
1 cup = 8 ounces
28 ounces ÷ 8 ounces/cup = 3.5 cups
Now set up a ratio.
[tex]\frac{0.75}{1} = \frac{x}{3.5}[/tex]
X (how much blue paint is needed) is over 3.5 cups (the amount of white paint she has)
Cross multiply and divide.
[tex]\frac{0.75}{1} = \frac{x}{3.5}[/tex]
x = 0.75 × 3.5
x = 2.625 cups
To convert to ounces, multiply by 8.
2.625 cups × 8 ounces = 21 ounces
Therefore, Ava needs 2.625 cups or 21 ounces of blue paint.
Hope that helps.
Please answer this question now
Answers
Answer:
36°
Step-by-step explanation:
<U + < V + <W = 180° (sum of angles in a triangle)
<W = 54°
The tangent is always perpendicular to the radius drawn to the point of tangency...
therefore,
<U = 90°
90° + <V + 54° = 180°
144° + <V = 180°
<V = 180° - 144°
<V = 36°
Answer:
V=36
Step-by-step explanation:
tangent makes rigt angle with radius angle U=90
W+V+U=180
V=180-90-54
V=36
Show that (a - b)+(b-c)+(c -a)3 = 3 (a - b) (b -c) (c-a)
Answers
Answer:
I think that it should be
[tex] {(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)[/tex]
Step-by-step explanation:
Here,
we take , a - b = A,b-c = B , c - a= C
A+B+C = 0
we know that,
[tex] {a}^{3} + {b}^{3} + {c}^{3} - 3abc = (a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab - bc - ca)[/tex]
Here , A+B+C = 0
so,
A^3 +B^3 + C^3 = 3 ABC
now we put the values
[tex]{(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)[/tex]
I am done .
I think that it should be
{(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)
Step-by-step explanation:
Here,
we take , a - b = A,b-c = B , c - a= C
A+B+C = 0
we know that,
{a}^{3} + {b}^{3} + {c}^{3} - 3abc = (a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab - bc - ca)
Here , A+B+C = 0
so,
A^3 +B^3 + C^3 = 3 ABC
now we put the values
{(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)
I am done .
I) Construct a triangle PQR such that |PQ|=8cm,{RPQ=90°{PQR=30°.Measure |RQ|
Answers
Answer:
6.93 cm
Step-by-step explanation:
You have a right triangle (90°), so you do as follow:
If I understand correctly, you are looking for the hypotenuse so
[tex]cos(30) = \frac{PQ}{QR} = \frac{8 cm}{QR}[/tex]
That is equal to [tex]QR = cos(30)*8 cm = 6.928 cm[/tex]
Evaluate the function using the values.
Answers
Answer:
Blank 1: 3
Blank 2: 31
Step-by-step explanation:
f(x) = 2x + 7
Plug x as -2
2(-2) + 7
-4 + 7
= 3
Plug x as 12
2(12) + 7
24 + 7
= 31
Abenfos has a rectangular field.it is 85m long and 25m wide. How long is the fence round the field?
Answers
Answer:
The fence must have:
220 meters
Step-by-step explanation:
The perimeter of the field is equal to the long of the fence round the field.
then:
perimeter = 2(long + wide)
perimeter = 2(85 + 25)
perimeter = 2*110
perimeter = 220m
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 7 9 . There are 28 red marbles in the bag and each is equally likely to be chosen. Work out how many marbles in total there must be.
Answers
Correct question :
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 7 9 . There are 28 red marbles in the bag and each is equally likely to be chosen. Work out how many marbles in total there must be.
Answer:
Total number of marbles = 36
Step-by-step explanation:
Marbles in bag: Red and Blue only
Probability of randomly choosing a red marble = 7/9
Number of red marbles = 28
Total number of marbles in the bag =?
Probability = required outcome / Total possible outcomes
P(red marble) = required outcome (number of red marbles) / Total possible outcomes(total number of marbles
7/9 = 28 / total number of marbles
Total number of marbles * 7/9 = 28
Total number of marbles = 28 ÷ 7/9
Total number of marbles = 28 * (9/7)
= 252 / 7
Total number of marbles = 36
what is the vertex of g(x)=-3x^2+18x+2? a) (3,-25) b) (-3,-25) c) (3,29) d) (-3,29)
Answers
C). (3, 29) would be your answer.
Explanation?:
Rewrite the equation in vertex form.
y = -3(x - 3)^2 + 29
use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.
a = -3
h = 3
k = 29
The vertex = (h, k)/(3, 29)
Hope this helps!
Answer:
It would be c
Step-by-step explanation:
Triangle D E F is shown. Lines are drawn from each point to the opposite side and intersect at point G. Line segments D C, E B, and F A are formed and cut each side into 2 equal parts. In triangle DEF, DG = 10 cm. What is CG? 5 cm 10 cm 15 cm 20 cm
Answers
Answer:
5 cm
Step-by-step explanation:
As we can see in the attached figure that G is the point at which the three medians of the triangle meet i.e we called the centroid
And, according to the property of the centroid, it divides the medians in ratio i.e 2:1
DG: CG = 2 : 1
Since the DG is 10 cm
So, the CG would be half of DG i.e 5 cm
Hence, the CG is 5 cm
Therefore the first option is correct
Answer:
the answer is 5 cm
Step-by-step explanation:
Which statement is true about the equation fraction 3 over 4z = fraction 1 over 4z − 3 + 5?
Answers
Answer:
It has two solutions.
Step-by-step explanation:
Let as consider the given options are
It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.
The given equation is
[tex]\dfrac{3}{4z}=\dfrac{1}{4z-3}+5[/tex]
Multiply both sides by 4z(4z-3).
[tex]3(4z-3)=4z+5(4z(4z-3))[/tex]
[tex]12x-9=4z+80z^2-60z[/tex]
[tex]0=-12x+9+80z^2-56z[/tex]
[tex]0=80z^2-68z+9[/tex]
It is a quadratic equation.
Therefore, it has two solutions.
Answer:
It has 1 solution
Step-by-step explanation:
I did the test I put the guys above me in and got it wrong
The diameter of a circle is 3.5 inches. What is the circumference of the circle?
Answers
Answer:
About 11 (10.9955742876...)
Step-by-step explanation:
Circumference=(pi) (diameter) or C=πd
Hope this helps!
The circumference of the circle is about 11 inches.
We are given that the diameter of a circle is 3.5 inches.
Noted that the circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
Therefore circumference of the circle = 2πr
Circumference=(2πr)
The diameter or C = πd
diameter = 3.5 inches
Circumference=(3.5 x 3.14)
Circumference = (10.99) inches
Learn more about circumference here;
brainly.com/question/12512221
#SPJ2
determine the area and the circumference of the flat shape
Answers
Answer:
Hey there!
Circumference: [tex]2\pi r+95+95[/tex]
Area: [tex]\pi r^2+70(95)[/tex]
r=35
Circumference: 410
Area: 10498.
Hope this helps :)
Answer:
Area= 10498.5 cm²
Step-by-step explanation:
Area of rectangle= l x w
= 95 x 70 = 6650
Area of circle = πr²
= π x 35²
= 1225π
=3838.5 cm²
Area of shape: 6650 + 3848.5 = 10498.5 cm²
PQRS is a parallelogram. Find the values of a and b. Solve for the value of c if c = a + b.
A. 5
B. 14
C. 0
D. 7
Answers
Answer:
a = 7
b = 7
c = 14 [Correct option is B. 14]
Step-by-step explanation:
Since the shape is a parallelogram, to solve this problem, use some of the properties of a parallelogram:
(i) Opposite sides are parallel and congruent. Being congruent means the sides are identical. In other words, they have the same length.
From the diagram, this means that sides PQ and SR are identical. i.e
=> PQ = SR
=> 6a + 10 = 8a - 4 [collect like terms and solve]
=> 14 = 2a
=> a = 7
(ii) Opposite angles are congruent. Angles PQR and PSR are identical. i.e
<PQR = <PSR = (9b + 2)°
Also,
<SPQ = <SRQ = (18b - 11)°
(iii) Consecutive angles are supplementary. The sum of any two angles that are not opposite to each other is 180°. i.e.
<SPQ + <PQR = 180°
<PQR + <QRS = 180°
<QRS + <RSP = 180°
.
.
.
Also,
<PSR + <SPQ = 180°
(9b + 2)° + (18b - 11)° = 180° [expand bracket and solve for b]
9b + 2 + 18b - 11 = 180
27b - 9 = 180
27b = 189
b = 7
Now, since a = 7 and b = 7;
c = a + b = 7 + 7 = 14
Therefore;
a = 7
b = 7
c = 14
Please answer this in two minutes
Answers
Answer:
Step-by-step explanation:
In an isosceles trapezoid, two pairs of adjacent angles are supplementary. It means that the sum of the adjacent angles is 180°
Looking at the diagram, angle X and angle W are adjacent angles. It means that
X + W = 180
Since X = 105, then
105 + W = 180
W = 180 - 105 = 75°
Since W = b + 25°, then
b + 25° = 75
b = 75 - 25 = 50°
Answer: In an isosceles trapezoid, two pairs of adjacent angles are supplementary. It means that the sum of the adjacent angles is 180°Looking at the diagram, angle X and angle W are adjacent angles. It means that X + W = 180Since X = 105, then105 + W = 180W = 180 - 105 = 75°Since W = b + 25°, thenb + 25° = 75b = 75 - 25 = 50°
Step-by-step explanation:
John wants to nail a thumbtack on his circular board, pictured below. If the thumbtack is equally likely to be placed anywhere on the board, what is the probability that the thumbtack will be placed on the inner circle? Use 3.14 for pi , and round your answer to the nearest whole percent. A. 51% B. 55% C. 57% D. 60%
Answers
Answer: A. 51%
Step-by-step explanation:
Area of circle = [tex]\pi r^2[/tex] , where r = radius of the circle.
In the figure below, we have the complete question.
According to that,
Radius of outer circle = 7ft
Radius of inner circle = 5ft
The probability that the thumbtack will be placed on the inner circle
[tex]=\dfrac{\text{Area of inner circle}}{\text{Area of outer circle}}\\\\=\dfrac{\pi (5)^2}{\pi (7)^2}\\\\=\dfrac{25}{49}[/tex][π is canceled from numerator and denominator
in percent, [tex]\dfrac{25}{49}\times100=51.0204081633\%\approx51\%[/tex]
So, the probability that the thumbtack will be placed on the inner circle = 51%
Hence, the correct option is A. 51%.
Area of a triangle is 1400 cm² the base of the triangle is 5 times the height what is the height of the triangle
Answers
Answer:
≈23.66
Step-by-step explanation:
Height ---> x
base ---> 5x
Formula for area of triangle: (base*height)/2
((5x)(x))/2 = 1400
[tex]5x^{2}[/tex]/2 = 1400
[tex]5x^{2}[/tex] = 1400 · 2 = 2800
[tex]x^2[/tex] = 2800/5 = 560
x= √560 ≈ 23.66
WILL MARK BRAINLIEST!!! EASY QUESTION!!(✿◡‿◡) Can someone please give me an example of a FIFTH DEGREE POLYNOMIAL WITH THREE TERMS IN STANDORD FORM? I just need to know what it looks like, please.
Answers
Answer:
f(x) = x⁵ + 3x³ - 2 I think, if its incorrect I apologize
Step-by-step explanation:
PLZ HELP!! In the following figure, triangle ABC is a right triangle, and mA = 42°. Find the value of n°. Note: the figure is not drawn to scale. n =____a0°
Answers
Answer:
n = 132
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
n is an exterior angle of the triangle, thus
n = 90 + 42 = 132
Answer:
n = 132
Step-by-step explanation:
the hypotnuse of a 45 -45 -90 triangle measures 22√2 units. what is the length of the leg of the triangle?
Answers
Answer:
22 units.
Step-by-step explanation:
In 45- 45- 90 triangles, there is a 1 to 1 to the square root of 2 formula. Each side length measures 1x, while the hypotenuse measures x times the square root of 2.
In this case, the hypotenuse measures 22 and the square root of 2 units. To find the value of x, simply divide that by the square root of 2 units, and you get x = 22 units. Multiply that by 1, and you get 22 units, which is the length of the leg of the triangle.
Hope this helps!