Answer:
40°
Step-by-step explanation:
Opposite angles in a cyclic quadrilateral are equal
3x + 10 = 2x + 20
Take away 2x from both sides
x + 10 = 20
Take away 10 from both sides
x = 10
Now that we know the value of x, substitute it back into the equations
3x + 10 = 3 x 10 + 10 = 30 + 10 = 40
2x + 20 = 2 x 10 + 20 = 20 + 20 = 40
Both angles are equal to 40°
Step-by-step explanation:
Need to FinD :We have to find the angles.[tex] \red{\frak{Given}} \begin{cases} & \sf {We\ are\ given\ a\ cyclic\ quadrilateral.} \\ & \sf {The\ measures\ of\ the\ opposite\ angles\ of\ the\ quadrilateral\ are\ {\pmb{\sf{(3x\ +\ 10)^{\circ}}}}\ and\ {\pmb{\sf{(2x\ +\ 20)^{\circ}}}}.} \end{cases}[/tex]
We know that,
The opposite angles of the cyclic quadrilateral are (3x + 10)° and (2x + 20)°. And we have to find the angles.In a cyclic quadrilateral, all the four vertices of the quadrilateral lie on the circumference of the circle. The opposite angles in a cyclic quadrilateral add up to 180°. So simply, we just simplify the measures and find the value of x. And at last, we'll find the angles of the quadrilateral.
[tex]\rule{200}{3}[/tex]
[tex] \sf \dashrightarrow {(3x\ +\ 10)\ +\ (2x\ +\ 20)\ =\ 180} \\ \\ \\ \sf \dashrightarrow {3x\ +\ 10\ +\ 2x\ +\ 20\ =\ 180} \\ \\ \\ \sf \dashrightarrow {5x\ +\ 30\ =\ 180} \\ \\ \\ \sf \dashrightarrow {5x\ =\ 180\ -\ 30} \\ \\ \\ \sf \dashrightarrow {5x\ =\ 150} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{150}}{\cancel{5}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 30.}}}}_{\sf \blue{\tiny{Value\ of\ x}}}} [/tex]
∴ Hence, the required value of x is 30. Now, let us find out the angles.
[tex]\rule{200}{3}[/tex]
First AnglE :
3x + 103(30) + 1090 + 10100∴ Hence, the measure of the first angle of the quadrilateral is 100°.
[tex]\rule{200}{3}[/tex]
Second AnglE :
2x + 202(30) + 2060 + 2080∴ Hence, the measure of the second angle of the quadrilateral is 80°.
Find the area of the trapezoid.
A. 15 cm2
B.18 cm2
C.21 cm2
D. 35 cm2
Answer:
B. 18 cm²
Step-by-step explanation:
The area of a trapezoid can be found using the formula ...
A = 1/2(b1 +b2)h
For the given dimensions, the area is ...
A = 1/2(7 cm +5 cm)(3 cm) = 1/2(12)(3) cm² = 18 cm²
One of the legs of a right triangle measures 3 cm and the other leg measures 18 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
I think the answer is 18.2 cm
A metronome uses an inverted pendulum rod to control tempo. A weight can be slid up the pendulum rod to decrease tempo, or down the pendulum rod to increase tempo. A second fixed weight is hidden inside the metronome at the base of the pendulum. The longer the distance between the two weights, the slower the tempo. This equation is used to calculate the frequency of the metronome pendulum:
[tex]f = \frac{ \sqrt{ \frac{g}{l} } }{2\pi} [/tex]
Each time the metronome's pendulum completes one back and forth cycle, it produces two ticks or beats. To calibrate the metronome for beats per minute (bpm) the manufacturer needs to know the length of the pendulum for various tempos. Solve
[tex]f = \frac{ \sqrt{ \frac{g}{l} } }{2\pi} [/tex]
for L.
Answer:
Part 1
Multiply both sides by 2π
2πf = √(g/L)
Square both sides
4π²f²= g/L
Invert both sides
1/(4π²f²) = L/g
Multiply both side by g
g/(4π²f²) = L
We usually write an equation with the subject (L) n the left
L = g/(4π²f²)
________________________
Part 2
Using the above equation with the given values:
L = g/(4π²f²)
. .= 9.8 / (4π² x 1.6²)
. .= 0.097m (= 9.7cm)
________________________
By the way, where it says
“f=1.6 then there are 2 beats a second, or 192 beats per minute (bpm).”
this should say
“f=1.6 then there are 3.2 beats a second, or 192 beats per minute (bpm)”
Step-by-step explanation:
The values are L = g/(4π²f²) and L.= 0.097m (= 9.7cm)
What is equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Here, we have,
Part 1
Multiply both sides by 2π
2πf = √(g/L)
Square both sides
4π²f²= g/L
Invert both sides
1/(4π²f²) = L/g
Multiply both side by g
g/(4π²f²) = L
We usually write an equation with the subject (L) n the left
L = g/(4π²f²)
________________________
Part 2
Using the above equation with the given values:
L = g/(4π²f²)
L.= 9.8 / (4π² x 1.6²)
L.= 0.097m (= 9.7cm)
Hence, The values are L = g/(4π²f²) and L.= 0.097m (= 9.7cm).
To learn more on equation click:
brainly.com/question/24169758
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Explain the steps taken to factor 2x^2-22x-52
Answer:
2(x−13)(x+2)
Step-by-step explanation:
2x^2-22x-52
GCF = 22
2(x ^2 −11x−26)
2(x−13)(x+2)
What are the values of s and t?
Answer:
s=144
t=36
Step-by-step explanation:
you minus 180 from 36 and you get 144 for s
then you minus 180 from 144 to get t
Answer:
t = 36°
s = 108°
Step-by-step explanation:
FE and DE are congruent. This means that triangle ΔDEF is isosceles.
Base angles (∠EFD and ∠EDF) in isosceles triangles are congurent.
∠EFD is 36°. This means that ∠t is also 36°
The measure of all the angles in a triangle is 180°
[tex]36+36+x=180\\72+x=180\\x=108[/tex]
∠s = 108°
find the value of X also show the process please
Answer: 36
Step-by-step explanation:
What’s the answer???
Amy wants to put 18" stones around her circular fire pit. The fire pit has a diameter of 4 feet. How many stones are needed?
The circumference of the circle shows that the number of stones needed will be 13.
How to calculate the circumference of the circle?To calculate the value of the circumference of the circle, we use the formula C = 2πr, where r is the radius of the circle, and π is a constant l.It should be noted that the circumference of a circle is calculated by using the formula:
[tex]= 2\pi r\\= 2 * 3.142 * (4/2)\\= 12.568\\= 13[/tex]
See more about circle at brainly.com/question/22965557
Juan is building a set for the school musical. He has a 3 foot board that he needs to divide into 1/2 foot pieces. How many pieces will he have after he cuts the board?
Answer: 6
Step-by-step explanation:
3 divide 1/2=3x2/1
3x 2/1=6
A home builder needs to cover the rectangular floor of a closet with carpet. The closet is 5 yards long and 3/4 of a yard wide. How much carpet will the home builder need to cover the closet? (PLEASE HELP?)
Answer: 3 3/4s' carpets
Step-by-step explanation:
please help no links may attach files or text box explanation
the answer picked may not be the answer please dont assume
Answer:
the rule is adding
Step-by-step explanation:
Answer:
You are right
Step-by-step explanation:
Pattern A: 0, 2, 4, 6, 8, 10
Pattern B: 0, 4, 8, 12, 16, 20
1/2 of 4 = 2
1/2 of 8 = 4
1/2 of 20 = 10
Hope this helps!
Which electromagnet is the strongest?
A black bar with 5 copper colored coils around it.
A black bar with 2 copper colored coils around it.
A black bar with 7 copper colored coils around it.
A black bar with 4 copper colored coils around it
Answer:
c
Step-by-step explanation:
A black bar with 7 copper colored coils around it is the strongest.
What is an Electromagnet?Electromagnets are defined as magnet which works through electricity.
We know permanent magnets show magnetic properties every time. We cannot alter it. But electromagnets only acts as a magnet when current passes through it. Otherwise, it is just a coiled wire.
Strength of electromagnet depends on basically two things:
First, the amount of current flowing through the wire and
Second, the number of turns of wire around the coil.
Here there are four electromagnets which are black bar with 5, 2, 7 and 4 copper colored coils around it.
Number of coils is maximum for the black bar with 7 copper colored coils around it, which results in the strongest electromagnet.
Hence, a black bar having 7 copper colored coils around it is the strongest.
To learn more about Electromagnets, click on the link given below:
https://brainly.com/question/17057080
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Sandra pays $15.75 for every 7 movie she rents which graph models relationships with the same unit rate
please check my answers. and if im wrong pls tell me how to do it. i rlly need help
Answer:
See below.
Step-by-step explanation:
1 is correct.
2 is correct.
4 should be 30%. They asked what percent of the total 6th graders chose walking. There are 10 total, and 3 chose walking. 3/10 is 30%.
5 should be 37.5%.
-hope it helps
How do you Simplify (y^12)^5
Answer:
y^60
Step-by-step explanation:
(a^b)^b= a ^ b times b
12 times 5 is 60 so it's y^60
sorry my explaination is so complicated but im confident in the answer
What is the equation, in point-slope form, of the line
that is perpendicular to the given line and passes
through the point (-4, -3)?
A: y + 3 = -4(x + 4)
B: y + 3 = -1/4(x+4)
C: y + 3 = 1/4(x + 4)
D: y + 3 = 4(x + 4)
Answer:
C: y + 3 = 1/4(x + 4)
Step-by-step explanation:
Perpendicular to a given line means opposite inverse of the slope...
Equation of line is: y = -4x - 3
slope in above equation is -4, perpendicular would be 1/4
Perpendicular equation of a line through P(-4, -3):
y = mx + b
-3 = 1/4(-4) + b
-3 = -1 + b
b = -2
Use perpendicular slope and the b from above to form the perpendicular equation of line:
y = 1/4x - 2
Check:
(-3) = 1/4(-4) - 2
-3 = -1 - 2
-3 = -3
A nursery owner buys 9 panes of glass to fix some damage to her greenhouse. The 9 panes cost $21.15. Unfortunately, she breaks 4 more panes while repairing the damage. What is the cost of another 4 panes of glass? Another 4 panes of glass cost $
Answer:
$9.40
Step-by-step explanation:
21.15/9=2.35 - This is the cost per pane
2.35*4=9.4 - This is the cost for 4 panes
Answer:
$9.40
Step-by-step explanation
21.15/9=2.35 - This is the cost per pane
2.35*4=9.4 - This is the cost for 4 panes
hope this helped :)
(1.6x10-^7)/(9.11x10^-3)
Answer:
0.0000175631 or [tex]\frac{175631}{10000000000}[/tex]
Step-by-step explanation:
[tex]\frac{(1.6)(10^{-7})}{(9.11)(10^{-3})}[/tex]
Solve Numerator
[tex](1.6)(10^{-7})=(1.6)(\frac{1}{10000000})=\frac{16}{100000000} =0.00000016[/tex]
Solve Denominator
[tex](9.11)(10^{-3})=(9.11)(\frac{1}{1000} )=\frac{911}{100000} =0.00911[/tex]
Divide
[tex]0.00000016/0.00911[/tex]
0.0000175631 or [tex]\frac{175631}{10000000000}[/tex]
A school has 950 students. The ratio of female students to all students is 48/95.. you get brainliest if you do it right and explain
If a school has 950 students and the ratio of female to total students is 48/95, here's how to solve your question.
First, divide 950 by 95 to get 10. Now you know what to multiply both numbers in your ratio by.
Multiply the ratio by 10 to get your answer: 480/950.
There are 480 girls in the school.
Answer: If a school has 950 students and the ratio of female to total students is 48/95, here's how to solve your question.
First, divide 950 by 95 to get 10. Now you know what to multiply both numbers in your ratio by.
Multiply the ratio by 10 to get your answer: 480/950.
There are 480 girls in the school.
Step-by-step explanation:
if the cost of 10 books I'd Rs.300 find the cost of 4 books
Answer:
300 divided by 10 is equal too 30
and 30 times 4 is equal too 120
The Answer is 120
Step-by-step explanation:
is this a function i would give you brainlist please helppppppppppppppp
Answer:
nope, this is not a function!
Step-by-step explanation:
a function is where each input corresponds to one output.
in the diagram, -3 corresponds to -2, 0, and 2.
this is not a function.
find points and graph the line 3y=-x-3,3y=−x−3, following the instructions below.
Must solve for y first
Answer:
I attached the photo below, but two points are (0,-1), (3,-2)
Step-by-step explanation:
3y=-x-3
x| y|
0 -1
3 -2
What are the values of w and x? NO LINKS
Step-by-step explanation:
Since angles opposite congruent sides in a triangle are congruent, w=67.
Now, since the sum of the measures of the interior angles of a triangle is 180 degrees, x=180-67-67=46
write the linear equation of a line that passes through (2 5) and (2 9)
Answer:
x = 2
Step-by-step explanation:
(2, 5) and (2, 9)
Ok. First, let's find the slope using the slope formula.
[tex]m = \frac{y2-y1}{x2-x1} =\frac{9-5}{2-2} = 4/0[/tex]
4/0 is undefined.
When the slope is undefined, that means that it's a straight line going down from the x.
So the equation is just x = 2
Geometry (100 points) im desperate T-T
Answer:
a) 22, b) 66, c) 36, d) 18, e) 46, f) 69Step-by-step explanation:
Use the property of centroid:
The centroid is the intersection of mediansFor each median, the distance from a vertex to the centroid is twice that of the distance from the centroid to the midpoint of the side opposite that vertexGiven dimensions:
AM = 44CE = 54DM = 23Find the following:
a) FM = 1/2*AM = 1/2*44 = 22 b) A.F = AM + FM = 44 + 22 = 66c) CM = 2/3*CE = 2/3*54 = 36d) ME = 1/3*CE = 1/3*54 = 18 e) MB = 2*DM = 2*23 = 46f) DB = DM + MB = 23 + 46 = 69This scale drawing shows in enlargement in a figure what is the value of X enter your answer as a decimal
Answer:
5.6
Step-by-step explanation:
First we need to figure out how to get from 10 to 14. If we multiply 10 by 1.4, we get 14. Multiply 4 by 1.4 as well to get 5.6 for x.
the temperature in london is -5 at midnight at midday the temperature is 10c how much did the tempeture increase by?
Answer:
the temperature increased 1.25°c per hour
In those twelve hours the total increase was 15°c
Step-by-step explanation:
Divide the total temperature increase and the total of hours
[tex]15 \div 12 = 1.25[/tex]
and that's how you get how many degrees it increased each hour from midnight to midday
Write the equation of the line in slope-intercept form that passes through the following points.
(4, 7) and (1, -2)
Answer:
y= 3x - 5
Step-by-step explanation:
coordinates given: (4,7) & (1, -2)
to find m (slope) = rise/run = (y2-y1) /(x2-x1)
= ( -2-7) / (1 - 4)
= -9/-3
= 3
therefore, y=3x + b
to find b:
taken coordinate: (4,7)
y=3x + b
7=3 (4) + b
7= 12 + b
7-12 = b
-5 = b
(*the value of b will be same even if we take the other coordinate)
therefore, y = 3x -5
Does this graph show a function??
Answer:
yes
Step-by-step explanation:
the function does not cross the same point of x twice.
Answer:
B.) Yes; The graph passes the vertical line test!
Step-by-step explanation:
This graph does indeed show a function! A parabola, it looks like!
A function on a graph is determined when the function passes the vertical line test, meaning no matter where you go on the function, a specific vertical line will only pass through one point!
I hope I was of assistance! #SpreadTheLove <3
1/x = 9/30000 what is x