Answers
Answer:
m∠C = 102°
Step-by-step explanation:
This is a quadrilateral inscribed in a circle
The sum of opposite angles in a cyclic quadrilateral is equal to 180°
m∠D + m∠B = 180°
m∠B = 180° - m∠D
m∠B = 180° - 80°
m∠B = 100°
We know what m∠B
We have external angles outside the circle.
m∠CDA is opposite m∠B
m∠CDA = 2 × m∠B
m∠CDA = 2 × 100°
m∠CDA = 200°
m∠CDA is the sum of m∠CD and m∠DA
m∠CDA = m∠CD + m∠DA
m∠DA = m∠CDA - m∠CD
m∠DA = 200° - 116°
m∠DA = 84°
m∠DAB is an exterior angle also, hence,
m∠DAB is the sum of m∠DA and m∠AB
m∠DAB = m∠DA + m∠AB
m∠DAB = 84° + 120°
m∠DAB = 204°
Finally we can solve for m∠C
m∠DAB is Opposite m∠C
So, m∠C = 1/2 × m∠DAB
m∠C = 1/2 × 204
m∠C = 102°
Related Questions
Solve for t in terms of q, r, and s.
r = sqt
t=
Answers
Answer:
t=r/(sq)
Step-by-step explanation:
r=sqt
=> r/(sq)=t
Answer:
T= r/(sq)
Step-by-step explanation:
r= sqt
=r/(sq) =t
help asap will give 10 points
Answers
Answer:
False
Step-by-step explanation:
[tex]( {9}^{9} ) \times ( {9}^{ - 20} ) \\ = {9}^{9 + ( - 20)} \\ = {9}^{ - 11} [/tex]
Answer:
I'm pretty sure its false
Bart opens a bank account and deposits $10 each week. If he has $90 in his account, how many weeks has he been depositing money?
Answers
The number of weeks Bart has been depositing money is 9 weeks according to investment and time.
The number of weeks of money depositing will be given by the formula -
Number of weeks = total amount deposited each week/total number of weeks × 100
Keep the values in formula to find the number of weeks of money deposit
Number of weeks = 90/10
Perform division that will include cancelling zeroes
Number of weeks = 9
Hence, Bart deposited the money for 9 weeks.
Learn more about calculations on division -
https://brainly.com/question/28119824
#SPJ1
CLASSIFY THE TRIANGLES WHOSE SIDES MEASURE:
A. a = 15cm, b = 20cm and c = 25cm
B. a = 3cm, b = 3cm and c = 1cm
Answers
Problem 1
a^2+b^2 = 25^2+20^2 = 225+400 = 625
c^2 = 25^2 = 625
We get the same output of 625.
This shows that a^2+b^2 = c^2 is true for (a,b,c) = (15,20,25). We have a pythagorean triple and this is a right triangle. This is also scalene as all three sides are different lengths.
Answer: Right scalene triangle=======================================
Problem 2
a^2+b^2 = 3^2+3^2 = 18
while c^2 = 1^2 = 1
So a^2+b^2 = c^2 is not a true equation for this a,b,c set of values. We do not have a right triangle. Instead we have an acute triangle based on these rules below
If a^2+b^2 = c^2, then we have a right triangleIf a^2+b^2 > c^2, then we have an acute triangleIf a^2+b^2 < c^2, then we have an obtuse triangleWe see that we have the form a^2+b^2 > c^2 since 18 > 1.
This acute triangle is also isosceles because a = b.
Answer: Isosceles acute triangleAnswer:
Triangle A is a scalene triangle.
Triangle B is an isosceles triangle
Exaplanation for the 1st Answer:
A scalene triangle is a triangle whose all side lengths are different.
Triangle A has the side lengths are 15, 20, 25. All these lengths are different, so this is a scalene triangle.
Explanation for the 2nd Answer:
An isosceles triangle has 2 sides lengths the same and the other side length different. Triangle B has side lengths of 3, 3, 1. Two side lengths are same, but 1 side length is different. So, this is an isosceles triangle.
Happy D's Playland charges a $100 flat
fee for parties plus $1.50 per person.
Marta has $125 to spend. Which
inequality could help Marta find the
number of people she can invite?
Answers
Answer:
$16.66
Step-by-step explanation:
$125-$100 = $25
since its $1.50 per person, we do $25 DIVIDED by $1.50 = $16.66.
i hoped this helped :)
Use number properties to simplify the following expression.
-5 + (5 + 3)
In the box below, show each step in simplifying the expression and explain which property you used in each step.
Answers
Answer:
-5 + (5 + 3) =(-5 + 5) + 3 = 0 + 3 = 3[tex]\\ \sf\longmapsto -5+(5+3)[/tex].
Remove brackets[tex]\\ \sf\longmapsto -5+5+3[/tex]
[tex]\\ \sf\longmapsto (-5+5)+3[/tex]
[tex]\\ \sf\longmapsto 0+3[/tex]
[tex]\\ \sf\longmapsto 3[/tex]
True, sometimes true, or false?
The multiple of two consecutive integers is positive
Answers
Answer: sometimes true
Step-by-step explanation: if the integers are both positive or both negative, the product will always be positive. If the integers are negative and positive, then the answer will be negatove
Rational number between 1/3 and 1/9
Answers
Answer:
2/9
Step-by-step explanation:
LCM of 3 and 9 = 9
[tex]\dfrac{1}{3}=\dfrac{1*3}{3*3}=\dfrac{3}{9}\\\\\\Rational \ number \ between \dfrac{1}{9} \ and \dfrac{3}{9} \ is \dfrac{2}{9}[/tex]
The specifications for the diameter of a molded part are 10 mm ± 0.5 mm. The actual average and standard deviation from 250 parts sampled is 10.1 mm and 0.1 mm, respectively. The process can be characterized as:
Answers
Answer: Capable
Step-by-step explanation: The capability of a process could be exaplained as a measure of the ability of a process to produce part within specified limits by making use of statistical measurement. In determining if a certain process is capable or not, the value of process capability (Cp) is measured, in most cases, a process is deemed capable by having a Cp value of 1.33 or higher.
Cp formula :
(Upper specification limit(USL) - Lower specification limit(LSL) ) / 6* standard deviations
Diameter = 10 mm ± 0.5 mm
Standard deviation = 0.1mm
USL = 10 + 0.5 = 10.5
LSL = 10 - 0.5 =. 9.5
Cp = (10.5 - 9.5) / 6*0.1
Cp = 1/0.6
Cp = 1.6666
Cp = 1.67
Hence, the process is capable
From 38 to 316 inclusive,how many integers can be found that are multiples of 12? 20 Points!
Answers
Answer:
The first multiple of 12 after 38 is 48.
The first multiple of 12 before 316 is 312.
So we have, 48, 60, 72... 312.
Divide by 12...
4, 5, 6, ... 26
Subtract 3 from each term to get... 1, 2, 3... 23
So there are 23 terms!
Hope this helps!
The circumference of a circle is 6pi inches. What is the area of the circle
Answers
Answer:
B0 A = 9 Pi
Step-by-step explanation:
c = 6 Pi (given)
c = Pi 2r (standard formula)
r = c / (2 Pi)
r = 6 Pi / (2 Pi) = 3 (substitute 6 Pi for c)
So
A = Pi r**2
A = Pi 3**2
A = 9 Pi
PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answers
Answer:
The correct answer is b.
Step-by-step explanation:
if you arrange the data set in ascending order you will have:
x y
-2 [tex]\frac{1}{100}[/tex]
-1 [tex]\frac{1}{10}[/tex]
0 1
1 10
3 1000
Exponential growth is an increase in a specific way of a data set over time. here, as x increases by a +1, y increases with ×10
true or false the ratio of the circumfernce of a circle to its diameter is called pi
Answers
That's true. Pi is known to be defined as the ratio of the circumference of a circle to its diameter.
K(x)=5^x+2 find (-2)
Answers
Answer:
1
Step-by-step explanation:
K(x)=5^(x+2)
Let x = -2
K(-2)=5^(-2+2)
= 5^0
= 1
Answer:
k(- 2) = 1
Step-by-step explanation:
Substitute x = - 2 into k(x) , that is
k(- 2) = [tex]5^{-2+2}[/tex] = [tex]5^{0}[/tex] = 1 [ [tex]a^{0}[/tex] = 1 ]
A: m_1 = m_4
B: m_2 = m_3
C: m_1 + m_4 = 180°
D: m_2 + m23 = 180°
Answers
Answer:
A
Step-by-step explanation:
If 400 g of chocolate sells for $12,
"how much is the cost per kilogram?
Answers
the cost of the chocolate of 1 kg will be 30$
A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes. State H_0 and H_a in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols.Choose the correct answer below.A. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at least 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≥3.5."B. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≤3.5."C. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is equal to 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ=3.5."D. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is not 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≠3.5."
Answers
Answer:
The correct option is (C).
Step-by-step explanation:
The claim made by the golf analyst is:
Claim: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes.
A standard deviation test is to be performed.
The hypothesis for the test will be defined as follows:
H₀: The standard deviation of the 18-hole scores for a golfer is 3.5 strokes, i.e. σ = 3.5.
Hₐ: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes, i.e. σ ≤ 3.5.
Thus, the correct option is (C).
Easy Geometry Question.
Answers
x = 180 - 2(60) = 60°
Therefore both x and y are 60° (D).
Answer:
the answer will be 60
Step-by-step explanation to find x and y's value:
x = 180-2(60)
now, we will do the same method to find y's value
y = 180-120 which will be 60
i hope this helps :)
If a state issued license plates using the scheme of two letters followed by four digits, how many plates could it issue?
Answers
Answer:
Combining these results, it follows that there are 676 x 1000 = 676,000 different license plates possible.
3 x 19 x 14 + 18 ÷ 2
Answers
Answer:
807Step-by-step explanation:
[tex]3 \times 19 \times 14 + 18 \div 2 \\ PEDMAS \\ (3 \times 19 \times 14 )+ 9 \\ = 798 + 9 \\ [/tex]
[tex] = 807[/tex]
Answer:
408
Step-by-step explanation:
3x19= 57
57x14= 798
798 + 18= 816
816/ 2= 408
answer the question pls
Answers
Answer:
Question number 8 u place the number 1 line before -1 on the left.
Step-by-step explanation:
cuhcuhcuhcuchcuhcuhc
Which number is closest to O on the number line?
-0.26
0.3
0.275
-0.51
Answers
Answer:
-.26
Step-by-step explanation:
If you take the absolute value (indicates how far a number-negative/positive- is from 0) of each number u listed you will find that .26 is the smallest number,thus smallest number.
Answer:
-.26 is closest to 0 on the number line.
Step-by-step explanation:
To find distance we use absolute value to find the smallest absolute value.
The absolute value of each number is as follows
-0.26 (0.26)
0.3 (0.3)
0.275 (0.275)
-0.51 (0.51)
In order from least to greatest we have
.26, .275, .3, .51
Therefore -.26 is closest to 0 on the number line.
Good luck!!
Warren is on vacation and needs to arrange transportation. A rental car costs 40 dollars per day plus a one-time cost of 14 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days. C(x)=________.
If Warren has budgeted 254 dollars for the rental, how many days can he afford?
Answers
Answer:
C(x)=40x+14, 6 days
Step-by-step explanation:
C(x)= payment per day*x + initial payment. the payment per day is $40 while the initial payment is $14. so C(x)=40x+14.
C(x)=254=40x+14, 40x=240, x=6
please what are plane shapes
Answers
Answer:
Circle
hope this helps.
Answer:
A closed, two-dimensional or flat figure is called a plane shape.
Check whether 301 is a term of the list of numbers 5, 11, 17, 23, . . .
Answers
Answer:
not a term
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
d = 11- 5 = 17 - 11 = 23 - 17 = 6
This indicate the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 6, thus
[tex]a_{n}[/tex] = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1
Equate this to 301 and solve for n
6n - 1 = 301 ( add 1 to both sides )
6n = 302 ( divide both sides by 6 )
n = 50.333....
Since n is not an integer value then 301 is not a term in this sequence.
IM STUMPED I USUALLY LOVE THESE PROBLEMS :( The least common multiple of x, 10 and 14 is 70. What is the greatest possible value of x?
Answers
Answer:
[tex]x=70[/tex]
Step-by-step explanation:
If we know that the LCM of 10, 14 and x will be 70, that means x has to be a factor of 70.
First, let's find the multiples of 10 and 14 until they equal 70.
[tex]10: 10,20,30,40,50,60,70[/tex]
[tex]14:14,28,42,56,70[/tex]
Since we're asking for the greatest value of x, that means that x has to be smaller or equal to than 70 but still large enough to be the greatest.
Hey, isn't 70 a factor of 70? The remainder gets to 1 which is a whole number, so 70 is a multiple of 70.
So, [tex]x = 70[/tex].
Hope this helped!
Answer:
x = 35
Step-by-step explanation:
70 factored is 2 x 5 x 7
x = 35
8. Solve for x. Round your answer to the nearest tenth.
8.6
4
x
0176
Answers
Answer:
C. 9.5
Step-by-step explanation:
The Pythagorean Theorem: a^2 + b^2 = c^2.
4^2 + 8.6^2 = c^2
16 + 73.96 = c^2
c^2 = 89.96
c = 9.4847....
pls help. A granola mix sells for $8.99 a pound. Tung wants to buy a bag of granola mix that weighs 7.8 pounds. The bag of granola mix will cost about $16. $17. $63. $72.
Answers
Answer:
about 72 dollars
Step-by-step explanation
"about" tells us to round our numbers. Therefore, 7.8 becomes 8. As each pound is $8.99, we multiply the two and get 71.92, which is "about" 72.
Answer:
$72
Step-by-step explanation:
To find the cost, multiply the price per pound by the number of pounds.
8.99(7.8)
= 70.12
This is closest to $72
In ΔABC, m∠A=a, m∠B=β, m∠C=y. AB = c, AC = b, BC = a. Find the remaining parts of each triangle if the following parts are given.
a=5, b=7, y=31°
Answers
Answer:
9.013 square units
Step-by-step explanation:
PLZ HELP !!!! Only do B) and C)
Answers
First frame is for b and second frame is for c