Find the measure of arc EB. Circle A is intersected by line CD at points D and E and line CB at point B, forming angle ECB outside of the circle, the measure of angle ECB is 25 degrees, arc EB is 4x plus 16 degrees, and arc DB 7x plus 6 degrees.
Answers
Answer:
[tex]m\widehat {EB}[/tex] = 96°
Step-by-step explanation:
From the figure attached,
m∠ECB = 25°
[tex]m\widehat {EB}={(4x+16)}[/tex] degrees
[tex]m\widehat{DB}=(7x+6)[/tex] degrees
From the theorem of secants intersecting outside the circle,
m∠ECB = [tex]\frac{1}{2}[m\widehat {DB}-m\widehat{EB}][/tex]
25° = [tex]\frac{1}{2}[(7x + 6) - (4x + 16)][/tex]
25° = [tex]\frac{1}{2}(3x-10)[/tex]
50 = 3x - 10
3x = 60
x = [tex]\frac{60}{3}[/tex]
x = 20
[tex]m\widehat {EB}[/tex] = (4 × 20 + 16)°
= (80 + 16)°
= 96°
Therefore, measure of arc EB is 96°.
Answer:
96°
Step-by-step explanation:
Got it right on the test
Related Questions
The probability of a chance event is 0.5, it is
to happen
when compared to a chance event with a probability of 1.
Select one:
Answers
Answer:
75%
Step-by-step explanation: i know the answer
Which relation is a function of x?
Answers
Answer:
it is the last one. because it passes the verticle line test, and the first one repeats the same number two times.
Solve for n.
9n − 7 = 3 + 8n − 2
n =
Answers
Answer:
[tex] \boxed{n = 8} [/tex]
Step-by-step explanation:
[tex] = > 9n - 7 = 3 + 8n - 2 \\ \\ = > 9n - 7 = 8n + 3 - 2 \\ \\ = > 9n - 8n = 1 + 7 \\ \\ = > n = 8[/tex]
Answer:
8
Step-by-step explanation:
9n - 7 = 3 + 8n - 2
Combine like factors.
9n - 7 = 8n + 1
Subtract 8n from both sides
n - 7 = 1
Add 7 to both sides.
n = 8
CAN SOMEONE HELP :) IF YOU CAN TYSM!
Answers
Answer:
i. x = -0.5 and 1.5; ii. x = 1.5
Step-by-step explanation:
For part i, we can take a look at the x-intercepts of the parabola. When a quadratic equation equals 0, this means that we are taking a look at its roots, or solutions.
The parabola intersects the x-axis at approximately -0.5 and 1.5. We can say this is an estimate to the solutions.
For part ii, the question is asking the x value that makes the function equal 2. We just look at the point where y = 2, which happens to be 1.5. So when x = 1.5, y = 2, which is what we want.
I hope this helps!
2/xy^2
Give the equivalent numerator if the denominator is x3y2.
a) x²y
b) 2x^2
c) 2x^3y^2
Answers
39) Natural numbers that have 1 as the common number between them are called?
Answers
Answer:
I think they're called The Prime numbers.
Tell me if it's correct
Answer:
odd numbers
1,3,5,7,9,11.......
Step-by-step explanation:
What is the slope of the line through (-4,2)(−4,2)left parenthesis, minus, 4, comma, 2, right parenthesis and (3,-3)(3,−3)left parenthesis, 3, comma, minus, 3, right parenthesis?
Answers
Answer:
The slope of the line through the points is -5/7
Step-by-step explanation:
Here, we want to calculate the value of the slope through the lines
Mathematically;
m = y2-y1/(x2-x1)
Where (x1,y1) = (-4,2)
and (x2,y2) = (3,-3)
Substituting these values, we have;
m = (-3-2)/(3-(-4)) = -5/7 = -5/7
The slope of the line through (-4, 2) and (3, -3) is; -5/7
According to the question;
We are required to determine the slope of the line through the points given.The slope, m of the line is given mathematically as;
m = (y2 -y1)/(x2 - x1)Therefore, in this case;
Slope, m = (-3 - 2)/(3 -(-4))Slope, m = -5/7
Read more:
https://brainly.com/question/16949303
m∠ABD is a straight angle m∠CBD=8x+16 m∠ABC=6x−60
Answers
Answer:[tex]36^{\circ}[/tex]
Step-by-step explanation:
A straight angle means that the angle has a measure of 180 degrees. Therefore:
[tex]CBD+ABC=180 \\\\(8x+16)+(6x-60)=180 \\\\14x-44=180\\\\14x=224\\\\x=16\\\\6x-60=6(16)-60=96-60=36[/tex]
Hope this helps!
Answer:
m∠ABC = 36 degrees
Step-by-step explanation:
8x + 16 + 6x - 60 = 180 Add both angles to equal 180
14x - 44 = 180
+ 44 + 44 Add 44 to both sides
14x = 224 Divide both sides by 14
x = 16
Plug this into the equation for angle ABC
6(16) - 60 Multiply
96 - 60 Subtract
m∠ABC = 36
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogram l. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?
Answers
Answer: 8.8 pounds.
Step-by-step explanation:
Hi, to answer this question, first we have to divide the total weight loss in a week (28 kg) by 7 (days in a week).
28 /7 = 4 kg per day
The group lost 4 kg each day.
Finally we have to convert the result into pounds.
Since 1 kg = 2.2 pounds
4 kg x 2.2 = 8.8 pounds.
Feel free to ask for more if needed or if you did not understand something.
PLEASE HELP!!!!! Chloe stops for lunch in a town that has no meal tax. She has $20 and tips 15%. Select all the prices of meals she could buy. $18.50 $16.25 $15.75 $17.45 $15.95
Answers
Answer:
$16.25 $15.95 $15.75
Step-by-step explanation:
because a 15% tip is $3.00
What is the common difference of 4, 10, 16, 20
Answers
Answer:
6 and 4
Step-by-step explanation:
4, 10, 16, 20
common difference:
10-4= 16-10= 6, 20-16 = 4
Since common difference is not equal this is not AP
how to solve 56 x 12 using a area model
Answers
Answer:
well your answer is 778 but I forgot how to use an area model
Step-by-step explanation:
Henry invested $59,000 in an account paying an interest rate of 2% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 20 years?
Answers
9514 1404 393
Answer:
$87,929.98
Step-by-step explanation:
The future value formula can be used for this:
FV = P(1 +r/n)^(nt)
where principal P is invested at annual rate r for t years, compounded n times per year. With your numbers, we have ...
FV = $59,000(1 +.02/4)^(4·20) ≈ $87,929.98
Henry will have $87,929.98 after 20 years.
Answer:
A≈87929.98
Step-by-step explanation:
A number is selected from the set {1, 2, 3, 5, 15, 21, 29, 38, 500}. If equal elemental probabilities are assigned, what is the probability that the number chosen is either less than 29 or odd? 6/9 7/9 8/9
Answers
Answer:
The required probability is [tex]\frac{7}{9}[/tex].
Step-by-step explanation:
Set given is:
S = {1, 2, 3, 5, 15, 21, 29, 38, 500}
Total number of elements in set, [tex]n(S)[/tex] = 9
Let A be the event that the number is less than 29 ({1, 2, 3, 5, 15, 21}).
Number of items in the event A, [tex]n(A)[/tex] = 6
Probability of event A,
[tex]P(A) = \dfrac{n(A)}{n(S)}}=\dfrac{6}{9} \Rightarrow \dfrac{2}{3}[/tex]
Formula for probability of any event E:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Let B be the event that the number is odd (either of {1,3,5,15,21,29}).
Number of items in the event B, [tex]n(B)[/tex] = 6
Probability of event B,
[tex]P(B) = \dfrac{n(B)}{n(S)}}=\dfrac{6}{9} \Rightarrow \dfrac{2}{3}[/tex]
The event A and B have a few elements in common, i.e. numbers less than 29 which are odd as well.
The common elements are represented as:
[tex]A \cap B = \{1, 3, 5, 15, 21\}[/tex]
[tex]n(A\cap B) = 5[/tex]
[tex]P(A \cap B ) = \dfrac{n(A \cap B)}{n(s)}\\\Rightarrow P(A \cap B) = \dfrac{5}{9}[/tex]
To find probability of selecting a number which is either less than 29 (event A) or odd (event B),
We have to find [tex]P(A\ or \ B)[/tex] which is represented as [tex]P(A \cup B)[/tex] and the formula is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)\\\Rightarrow \dfrac{2}{3} + \dfrac{2}{3} - \dfrac{5}{9}\\\Rightarrow \dfrac{12-5}{9}\\\Rightarrow \dfrac{7}{9}[/tex]
The required probability is [tex]\frac{7}{9}[/tex].
Katrina is solving the equation x minus 2 (x + 3) = 4 (2 x + 3) minus (x + 4). Which equivalent equations might Katrina use? Check all that apply. x minus 2 x minus 6 = 8 x + 12 minus x minus 4 x minus 2 x + 6 = 8 x + 12 minus x + 4 x minus 2 x minus 6 = 8 x + 12 minus x + 4 x minus 2 x + 3 = 8 x + 3 minus x + 4 Negative x minus 6 = 7 x + 8 Negative x + 6 = 7 x + 16 Negative x minus 6 = 7 x + 16 Negative x + 3 = 7 x + 7
Answers
Answer:
a e
Step-by-step explanation:
The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Given the equation solved by Katrina expressed as;
x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).
Expand using distributive law;
x - 2x - 6 = 4(2x) + 4(3) - x - 4
x - 2x - 6 = 8x + 12 - x - 4
-x - 6 = 7x + 8
-x - 7x = 8 + 6
-8x = 14
x = 14/-8
x = -7/4
Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Learn more on expressions here: brainly.com/question/24734894
State the variable term(s) in the equation 2p + 4 = -5 - P.
Answers
Answer:
p=−3
Step-by-step explanation:
Let's solve your equation step-by-step.
2p+4=−5−p
Step 1: Simplify both sides of the equation.
2p+4=−5−p
2p+4=−5+−p
2p+4=−p−5
Step 2: Add p to both sides.
2p+4+p=−p−5+p
3p+4=−5
Step 3: Subtract 4 from both sides.
3p+4−4=−5−4
3p=−9
Step 4: Divide both sides by 3.
3p/3 = −9 /3
p=−3
Answer:
p=−3
please mark me brainliest!
Answer:
p=-3
Step-by-step explanation:
move the 5 to the left to get 2p + 9 = -p. Then move the 2p to the right to get 9 = -3p. Divide both sides with -3 and p = -3
write the equation for a paraloba with a focus at (7,2) and a directrix at y=-2
Answers
Answer:
y = (x-7)^2 / 8
Step-by-step explanation:
The focus to vertex distance is (2-(-2))/2 = 2 and the parabola open's upwards.
Thus: a = 1/(4·2) = 8, vertex at (7,0).
This means that:
y = (x-7)2/8
Charles bought 3 pounds of apples and a bag of chips that cost $2.60 He spent atonal of $6.35. Write and solve a equation to determine the price for a pound of apples
Answers
Answer:
$1.25 for a pound of apples.
Step-by-step explanation:
First I did, 6.35-2.60 to find the cost of JUST the apples. which was 3.75.
then I did 3.75/3 i divided them. It came out to 1.25. SO that means it costs $1.25 for a pound of apples.
I've ordered this shed. It is 2 meters wide, 3.25 meters long and 2 meters tall to the roof line. From the roof line to the peak is 0.8 meters high. I would like a 2nd floor or loft to increase the storage space. Please calculate the total amount of storage.
Answers
Answer:
18.2 cubic meters.
Step-by-step explanation:
From the measurements they give us, we assume that the shed has the shape of a rectangular prism, however, to calculate the amount of storage, we must calculate the volume.
The volume would be:
V = height * width * length
According to the statement height = 2, width = 2 and length = 3.25
V = 2 * 2 * 3.25
V = 13
That is, the volume of the shed is 13 cubic meters, but then they mention that the roof line to the peak is 0.8 meters high, which means that the volume can increase, the new volume would be changing the height = 2 + 0.8 = 2.8, the other values remain the same:
V = 2.8 * 2 * 3.25
V = 18.2
That is to say that when adding that part, the volume that is to say total amount of storage is 18.2 cubic meters.
Randy makes two slices through a three-dimensional object. One plane is parallel to the base; the other plane is perpendicular to the base. The two cross-sections are the same size and shape. What three dimensional shapes Might randy have cut
Answers
Answer:
cubeStep-by-step explanation:
I would have said circle, but it has no base, so it has to be a hedron
Randy might have probably cut a cube, since only it has congruent perpendicular/parallel to the base cross sections
Find the value of x round to the nearest tenth. Enter the number that belongs in the green box. 20 points!!!! And marking brainlist!
Answers
Answer:
80.4 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opposite/ adjacent
tan 15 = x / 300
Multiply each side by 300
300 tan 15 = x
80.38475773=x
To the nearest tenth
80.4 =x
Answer:
80.4
Step-by-step explanation:
use tan x = opp/adj
tan 15° = x/300 multiply by 300 on both sides
tan 15° * 300 = x
x = 80 .38 ≈80.4
If matrix Ais a 6 x 5 matrix, which order of matrix can be multiplied by matrix A?
Answers
Answer:
A matrix that is a 5 × (any #)
Step-by-step explanation:
A scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 35 • 3x models the number of bacteria after x hours. Estimate when there will be about 550 bacteria in the culture.
Answers
Answer: About 5.2 Hours
Step-by-step explanation:
550= 35 x 3x
183.33= 35x
5.2 = x
Please do 69 and 70 quick please
Answers
I just have the answer of the 70.
it is 10560
Answer:
69 is 1/3 and 70 is 10560
Step-by-step explanation:
A group of students was asked, "How many hours did you watch television last week?" Here are their responses.
16, 11, 7, 18, 19, 5
Find the mean number of hours for these students.
If necessary, round your answer to the nearest tenth.
Answers
The mean is the average so add all six numbers together and then devide it by how many numbers there are (6).
16+11+7+18+19+5=76 76/6=12.6666 or 12.7
Step-by-step explanation:
Mean = 16 + 11 + 7 + 18 + 19 + 5 / 6
Mean = 76 / 6
Mean = 12.66
Please help me. I already have the systems of linear equations which is y=87x+2129
Y=171x
I had solved using substitution method and got y=4334.85 and x=25.35
I attached the question that I need help with.
Answers
Step-by-step explanation:
that's it hope u understood
Answer:
Step-by-step explanation:
Your answer for x = 25.35 is correct.
Since the night must be an integer, you need to take 26 as your final answer. b) for y = 1500, you solve for x to consider which one is better.
for plan A, y = 87 x + 2129, you have to pay $2129 before starting the trip, hence $1500 is NOT enough to pay.
for plan B, y = 171x and y = 1500, hence x = 8.77. So, with $1500 you can travel for 8 nights.
Jess found that 10% of the students surveyed like to clean their rooms. Which
does not represent 10%?
Answers
POSSIBLE POINTS 100
A bank pays 3% annual simple interest on CDs (certificates of deposit) of $25,000. The Branson family
invests in 3 of the $25,000 CDs. How much interest does the family make in one year?
O A $22.50
OB $22,500.00
OC $2,250.00
OD $225.00
Answers
Answer:
Total interest in 1 year = $2,250
Step-by-step explanation:
Given:
Rate of simple interest = 3% = 0.03
Amount of investment = $25,000
Number of investment = 3
Find:
Total interest in 1 year .
Computation:
Simple interest = Amount of investment × Rate of simple interest
Simple interest = $25,000 × 0.03
Simple interest = $750
Total interest in 1 year = Simple interest × Number of investment
Total interest in 1 year = $750 × 3
Total interest in 1 year = $2,250
Use the fraction bar interactive tool to find the lowest common denominator before subtracting 2 3 from 5 6 . What is the lowest common denominator? Rewrite the difference as a sum of the fractions using the lowest common denominator. What is the answer?
Answers
Answer:
What is the lowest common denominator?
✔ 6
Rewrite the difference as a sum of the fractions using the lowest common denominator.
✔ 5/6 + (–4/6)
What is the answer?
✔ 1/6
Step-by-step explanation:
Fractions can be combined by taking their LCMs
The lowest common denominator is 6The new expression is [tex]\mathbf{-\frac{4}{6} + \frac{5}{6}}[/tex]The numbers are given as:
[tex]\mathbf{\frac{2}{3}\ and\ \frac{5}{6}}[/tex]
The denominators are 3 and 6.
Factor both numbers;
[tex]\mathbf{3 = 1\times 3}[/tex]
[tex]\mathbf{6 = 1 \times 2 \times 3}[/tex]
So, the LCM is:
[tex]\mathbf{LCM = 1 \times 2 \times 3}[/tex]
[tex]\mathbf{LCM = 6}[/tex]
The lowest common denominator is 6
The expression is represented as:
[tex]\mathbf{ - \frac{2}{3}\ + \ \frac{5}{6}}[/tex]
Rewrite as:
[tex]\mathbf{ - \frac{2}{3}\ + \ \frac{5}{6} = -\frac{4}{6} + \frac{5}{6}}[/tex]
Hence, the new expression is [tex]\mathbf{-\frac{4}{6} + \frac{5}{6}}[/tex]
Read more about fractions at:
https://brainly.com/question/6201432
The parallelograms with opposite sides equal and diagonals
equal are _________ and _____________
Answers
Answer:
It is also a rhombus and a square!
Step-by-step explanation:
