This circle is circumscribed about quadrilateral ABCD. What is the value of x?
Answers
Answer:
The value of x is 56°
Step-by-step explanation:
Given that opposite angles in a cyclic quadrilateral is add up to 180°. So in order to find x, you have to write an expression in terms of x :
[tex]97 + x + 27 = 180[/tex]
[tex]x + 124 = 180[/tex]
Next you have to solve it by substracting 124 to both sides :
[tex]x + 124 - 124 = 180 - 124[/tex]
[tex]x = 56[/tex]
Related Questions
Reasoning in a laboratory, the probability a bacterial colony thrives is 70%. The numbers 0 to 6 represent the outcome that a colony thrives. The numbers 7 to 9 represent the outcomes that a colony does not thrive. The list of random numbers simulates the out comes of 4 colonies . Based On the simulation in 6 trails . what is the probability that exactly half of the colonies will thrive.
4285 6903 3829 7871 2868 5137
Answers
Answer:
The probability that exactly half of the colonies will thrive = (1/3) = 0.3333
Step-by-step explanation:
The list of random numbers simulates the out comes of 4 colonies.
Based On the simulation in 6 trails, what is the probability that exactly half of the colonies will thrive?
The probability of an event is given mathematically as the number of elements in the event divided the total number of elements in the sample space.
Noting that the numbers 0 to 6 indicate that a colony thrives and the number 7 to 9 represent that a colony doesn't thrive.
The 6 trials are given as
4285; 3 colonies thrive, 1 doesn't.
6903; 3 colonies thrive, 1 doesn't.
3829; 2 colonies thrive, 2 don't.
7871; 1 colony thrives, 3 don't.
2868; 2 colonies thrive, 2 don't.
5137; 3 colonies thrive, 1 doesn't.
The number of trials where exactly 2 colonies thrive = 2
The total number of trials = 6
The probability that exactly half of the colonies will thrive = (2/6) = (1/3) = 0.3333
Hope this Helps!!!
Given:
EM, EQ-secants
Prove: MP·EW=WQ·EP
Answers
Answer:
Step-by-step explanation:
A secant is a straight line from a point outside a given circle that passes through two points on its circumference.
From the given diagram, EM and EQ are secants.
Thus,
<PEW ≅ <WEP (common angles)
<EMP ≅ <EQW (secant-chord theorem)
<WMP ≅ <PQM (inscribed angles of arc WP)
Therefore,
[tex]\frac{EW}{WM}[/tex] = [tex]\frac{EP}{PQ}[/tex] (corresponding sides of a triangle)
This implies that,
EW*PQ = EP*WM
Therefore,
MP*EW = WQ*EP (properties of a similar triangle)
Someone please help me!
Answers
Answer:
18.5
Step-by-step explanation:
You are given the opposite side, and need to find the hypotenuse, leading you to use sine.
Set it up, like so:
[tex]sin67=\frac{17}{x} \\[/tex]
Multiply everything by x, to remove it from the denominator:
[tex]x(sin67=\frac{17}{x} )\\xsin67 = 17[/tex]
Divide both sides by sin67:
[tex]x = \frac{17}{sin67} \\x = 18.46[/tex]
Round to nearest tenth:
x = 18.5
Three listening stations located at (3300, 0), (3300, 4400), and (-3300, 0) monitor an explosion. The last two stations detect the explosion 4 seconds and 4 seconds after the first, respectively. Determine the coordinates of the explosion. (Assume that the coordinate system is measured in feet and that sound travels at 1100 feet per second.)
Answers
Answer:
hang gang ok
i10 Njan malayalam verupikkal is my job
What is the y-intercept of the graph of the equation y = 4(3^x)?
a. (0,3)
b.(0,12)
c.(0,8)
d.(0,4)
Answers
Given the line 2 x - 3 y - 5 = 0, find the slope of a line that is perpendicular to this line. A.3/2
B.2/3
C.- 3/2
Answers
Answer:
Step-by-step explanation:
2x - 3y = 5
-3y = -2x + 5
y = (2/3)x - 5
the perpendicular slope is -3/2
the answer is c
Answer:
the perpendicular slope is -3/2
Step-by-step explanation:
Answer the MATH question pleaaseee
Answers
Answer:
25 percent
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
Since there are 4 and only 1 is write that is a 1/4 change of guessing correct. 1/4=.25=25%.
Simplify, using the distributive property and then combining like terms. 5c+2(10−c)
Answers
Answer:
3c +20
Step-by-step explanation:
5c+2(10−c)
Distribute
5c+ 20 -2c
Combine like terms
3c +20
Answer:3c+20
Step-by-step explanation:
Distribute
5c+(2)(10)+(2)(-c)
5c+20+-2c
Combine Like Terms:
(5c+-2c)+(20)
3c+20
Hope I helped:)
there are 12 inches in 1 foot
write an equation to find the number of inches in any number of feet
Answers
Answer:
divide the number of inches by 12
Step-by-step explanation:
Shirley measures the thickness of the sides of a cardboard box using a ruler that has centimeter and inch marking
is most likely the value that Shirley measures?
A.
3.0 in
New
B.
3.0 mm
OC.
2.85 mm
OD
0.118 in
Answers
1: The value of an object after t years can be modeled by the function v(t) = 1500 - 120t
Find the value of the object after 20 years.
Answers
Answer:
5
Step-by-step explanation:
The diameter of a circle is 8 cm. Which equation can be used to find its circumference? WILL MARK BRAINLIEST
A. C =π×88
B. C=π × 4
C. C = 16×π
D. C=π × 8
Answers
Answer:
The equation is D. C= π × 8.
Step-by-step explanation:
Please help will be greatly appreciated
Answers
Answer:
Step-by-step explanation:
Hands you please help
In the diagram below, triangle A’B‘C‘ is a transformation of triangle ABC, and Triangle A”B”C” is a transformation of Triangle A’B’C’. Which of the following transformation will lead triangle ABC to triangle A”B”C”?
a) reflection followed by a rotation
b) translation followed by a rotation
c) translation followed by a reflection
Answers
Answer:
B. i think?
Step-by-step explanation:
I need the answer to this question
Answers
Explanation: just is
Mick is planning a party. He wants to serve pizza, chips, and soda Mick discovers that he can purchase one pizza for $11.80, one
bag of chips for $1.59, and one bottle of soda for $1.74. If Mick needs 12 pizzas, 15 bags of chips, and 15 sodas, which is a reasonable amount that he will spend on food for the party?
A. $204.00
B. $84.00
C. $58.00
D. $246.00
Answers
Answer:
A. $204.00
Step-by-step explanation:
Pizzas: 11.80*12=141.6
Chips: 1.59*15=23.85
Sodas: 1.74*15=26.1
Equation: 141.6
23.85
26.1
_______+
191.55 closest to $204.00
find the area of the trapezoid could you go
Answers
Answer: 11.31372
Step-by-step explanation:
Find the height using pythagorean theorem1+b^2=9
you should get radical 8
2. Then plug your values into the formula and you get your answer
A a=35
B a=-35
C a=28.5
D a=57
Answers
Answer:
B.) -35
Step-by-step explanation:
If Kevin wants a 90 average in math after 5 tests and his first 4 tests are 76, 92, 89 and 97 what does he need on the fifth test for a 90 average?
Answers
Solving for the average is simple:
Add up all of the exam scores and divide that number by the number of exams you took.
(87 + 88 + 92) / 3 = your average if you didn't count that fourth exam.
Since you know you have that fourth exam, just substitute it into the total value as an unknown, X:
(87 + 88 + 92 + X) / 4 = 90
Now you need to solve for X, the unknown:
87
+
88
+
92
+
X
4
(4) = 90 (4)
Multiplying for four on each side cancels out the fraction.
So now you have:
87 + 88 + 92 + X = 360
This can be simplified as:
267 + X = 360
Negating the 267 on each side will isolate the X value, and give you your final answer:
X = 93
Now that you have an answer, ask yourself, "does it make sense?"
I say that it does, because there were two tests that were below average, and one that was just slightly above average. So, it makes sense that you'd want to have a higher-ish test score on the fourth exam.
current count = 4
current sum = 76+92+89+97=354
we need average = 90 = sum/5
so, we need sum = 90*5=450
To get sum 450, he needs to score 450-354=96 on his best test.
Now, (76+92+89+97+96)/5=90
what is the greatest common factor of 33,15
Answers
Answer:
The answer is 3
Step-by-step explanation:
Which is the longest length?
a 1 yd. 20 in.
b 1yd. 1 ft.
С
40 in.
d 3 ft.
Answers
Answer:
a-1yd20in
Step-by-step explanation:
a-4ft 8in
b-4ft
c-3ft 4in
d-3ft
Answer:
it's A, one yard and 20 inches
Step-by-step explanation:
If you convert them all to inches, a yard and a 20 inches are equal to 56 inches, so you can rule out the 40 inches answer. a yard and a foot are equal to 48 inches, so we can rule out that also. 3 feet is equal to 36 inches, because we know that a foot is equal to 12 inches. so you are left with A. 1 yard and 20 inches.
A 200-seat movie theater charges $3.00 for adults and $1.50 for children. If all seats were filled and total ticket income was $510.00, how many adults and children were in the audience? ( Use reduced row-echelon form). *
Answers
Answer:
ask your math teacher i rember learning this but froget ow
Step-by-step explanation:
Write equations with j own information:
Adult + child = 200
Adult = 200 - child
3.00 Adult + 1.50 child = 510
Combine equations:
3.00(200-child) + 1.50 child = 510
Simplify:
600 -3.00 child + 1.50 child = 510
600 - 1.50 child = 510
Subtract 600 from both sides:
-1.50 child = -90
Divide both sides by -1.50
Child = -90 / -1.50
Child = 60
There were 60 child seats sold and 140 adult seats sold.
Can someone help me? Thanks! :)
Answers
Answer:
75 is the length of the third side
Answer:
The unknown side to the triangle is 75 cm.
Step-by-step explanation
Let x be the length of the unknown side:
x^2 + 40^2 = 85^2
x^2 + 1600 = 7225
x^2 = 7225 - 1600
x^2 = 5625
x = 75
Insert parentheses to make the statement true. 12 + 6 × 11 − 7 = 72 A. 12 + ( 6 × 11 ) − 7 = 72 B. 12 + 6 × ( 11 − 7 ) = 72 C. ( 12 + 6 ) × 11 − 7 = 72 D. ( 12 + 6 ) × ( 11 − 7 ) = 72
Answers
Answer:
D hope this help :)
Step-by-step explanation:(☞ﾟヮﾟ)☞☜(ﾟヮﾟ☜)
(12 + 6) × (11 − 7) = 72, is equal to 72 is a True statement.
The correct option is D.
To make the statement true by inserting parentheses, we need to follow the correct order of operations (also known as the PEMDAS or BODMAS rule).
According to this rule, multiplication and division should be performed before addition and subtraction.
Let's examine the options:
A. 12 + (6 × 11) − 7 = 72
B. 12 + 6 × (11 − 7) = 72
C. (12 + 6) × 11 − 7 = 72
D. (12 + 6) × (11 − 7) = 72
To determine the correct option, let's evaluate each expression:
A. 12 + (6 × 11) − 7 = 12 + 66 − 7 = 71 (not equal to 72)
B. 12 + 6 × (11 − 7) = 12 + 6 × 4 = 12 + 24 = 36 (not equal to 72)
C. (12 + 6) × 11 − 7 = 18 × 11 − 7 = 198 − 7 = 191 (not equal to 72)
D. (12 + 6) × (11 − 7) = 18 × 4 = 72
Thus, (12 + 6) × (11 − 7) = 72, is equal to 72 is a True statement.
Learn more about PEDMAS here:
https://brainly.com/question/24086845
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find the vertex of the parabola represented by the function f(x)= -2x^2
Answers
The vertex of this parabola is the origin or, (0 , 0)
Hope this helps !
ASAP PLS
How many cubic centimeters of water can this paper cone cup hold?
8 centimeters
192 cubic centimeters
1447 cubic centimeters
9 centimeters
216 cubic centimeters
487 cubic centimeters
Vcone =
Answers
Answer:
48π
Step-by-step explanation:
The radius is 4 and the height is 9
V=1/3*π 4^2*9
Simplify:
48π
Which statement is true about
triangle PQR?
The sum of the measures of ZP. ZQ. and ZR
is 360°
The sum of the measures of ZP, ZQ, and ZR
is 180°
The measure of ZQ is greater than the sum of
the measures of ZP and ZR.
The measure of ZP equals the sum of the
measures of ZQ and ZR.
Answers
Answer:
option 2
Step-by-step explanation:
The sum of all the three angles of a triangle is 180°
HELP ASAP PLEASEEEE!
Answers
Answer:
it is c
Step-by-step explanation:
what are the dimensions of a square with a perimeter of 48 inches
Answers
Answer:
Each side is 12 inches long. The area is 144 square inches.
Answer:
12 by 12 inches
Step-by-step explanation:
12 times 4 (congruent) sides =48
Select all correct conversions.
53 km = 5,300 m
23 cm = 2.3 mm
15 m = 1,500 cm
79 m = 0.079 km
117 mm = 0.117 m
(Which ones are correct?)
Answers
The correct conversions are:
15m=1,500cm79m=0.079km117mm=0.117mWhat is unit conversion?It is a multi-step process that involves multiplication or division by numerical factor, selection of the correct numbers of significant digits, and rounding.
Equivalent Measurements:
[tex]1km=1000m\\1cm=10mm\\1m=100cm\\1m=1000mm[/tex]According to the given question:
53km=53×1000m=53000m (1km=1000m)23cm=23×10mm=230mm (1cm=10mm)15m=15×100cm=1500cm (1m=100cm)79m=[tex]\frac{79}{1000} km[/tex][tex]=0.079km[/tex] (1m=[tex]\frac{1}{1000}m[/tex])117mm=[tex]\frac{117}{1000}m[/tex][tex]=0.117m[/tex] (1mm=[tex]\frac{1}{100} m[/tex])Hence, the correct conversions are
15m=1,500cm79m=0.079km117mm=0.117mLearn more about the unit conversion here:
https://brainly.com/question/9484490
#SPJ2
