In the given figure, O is Center of circle. If AC//DB and angle ABC=50 , find angle ACD
Answers
Answer:
Step-by-step explanation:
m∠ACB = m∠CBD = 90° ⇒ m∠CAB = 90° - 50° = 40° = m∠ABD ( Alternate interior angles )
m∠CBD = 90°
m∠CDB = 50 °
Check the picture below, notice the tickmarks, both sides are equal and they make twin angles on the "base" side of the isosceles triangle.
Related Questions
Work out the size of angle x.
х
65°
45 °
Answers
Answer:
Step-by-step explanation:
(im presuming this is a triangle)
65 + 45 = 110°
angles in a triangle add up to 180°
180 - 110 = 70°
x = 70°
A teacher has a bag of 100 unit cubes. She gives an equal number of cubes to each of the 7 groups in her class. She gives each group as many unit cubes as she can. How many unit cubes are left over?
Answers
Answer: There’s 2 cubes left
Step-by-step explanation:
100 divided by 7 is 14 . 7 • 14 = 98100-2 , She is left w a remaining of 2 unit cubes . Meanwhile each table receives 14 marbles each .
Graph the inequality: 2x+y>4
Answers
Step-by-step explanation:
Took the test! Good luck
sure thing but first start off by creating the function that we want to plot but isolating y.
y>-2x+4
Technically we are graphing the line of equation y=-2x+4 and finding the values where y>-2x+4
Now using the original equation;
2x+y>4
let's take the origin (0,0) as our reference.
substitute the values in the equation
2(0)+0>4
0>4
False, then this part of the graph is rejected and we want to take the other side :P
st
2. Find the surface area of the sphere below.
.
3.1 m
-
Answers
Answer:
120.7016
Step-by-step explanation:
surface area of sphere=4πr²
solution
=4*3.14*3.1*3.1
=120.7016
Wesley always estimates his grocery store total as he shops. while at silver street groceries this morning, he estimated his total purchase would be $50, but it was actually $46.10. what is the percent error for his estimate?
if necessary, round your answer to the nearest tenth of a percent.
Answers
Answer:
The answer is 8.5
Step-by-step explanation:
50-46.10=3.9
you then divide 3.9 by 46.10 and you get 0.0845...
so you estimate and get your answer
The percent error in Wesley's estimate is 8.5% if the estimated total purchase is $50 and the actual total purchase is $46.10.
What is Percentage?Percentage is a form of writing numbers as part of 100. The symbol used to denote percentage is '%'.
Percentage of a number can be calculated by dividing the number with the whole and then multiplying with 100.
Percentage is a dimensionless number because it has no measurement units.
The percent error can be calculated by the formula,
Percent error = [(Estimated value - Actual value)/ actual value] × 100
Estimated total purchase of groceries by Wesley = $50
Actual total purchase made by Wesley = $46.10
Percent error = [(50 - 46.10) / 46.10] × 100
= (3.9 / 46.10) × 100
= 0.0846 × 100
= 8.46%
≈ 8.5%
Hence the percent error for the estimation of total purchase of groceries by Wesley is 8.5%.
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Discuss the steps that you used to create your tangent line in #1. What was the most important step? Your discussion should be a minimum of three sentences
Answers
To create a tangent line, 1st we need to know the points at which the tangent is to be located, then calculate the slope and finally with the help of these points and slope we can construct the equation of tangent line.
We need to take the following steps in order to build a tangent line:
We start by locating the curve point to which we want to locate the tangent line. Say, these points are [tex]x_1[/tex] and [tex]y_1[/tex]The slope (m) of the curve at that point is then determined by taking the function's derivative. The slope displays the function's rate of change at that precise location. The equation of the tangent line is then created by entering the coordinates of the point and the slope using the line's point-slope form. This equation is as follows: [tex]y - y_1 = m (x - x_1)[/tex]Hence, the above three steps are crucial to create a tangent line.
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what the algebraic rule for a dilation with a scale factor of 3
Answers
Step-by-step explanation & answer:
When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor.
For example, if the scale factor is "k", the algebraic representation of the dilation is
(x, y) → (kx, ky)
For enlargements, k > 1 and for reductions, k < 1.
Hope this is what you needed:)
The after the dilation by scale factor of 3, coordinates the point P(x, y) will become P'(3x, 3y).
What is Dilation?
A dilation is an enlargement or reduction of a figure about a center of dilation by a specified scale factor [k].
Given is a algebraic rule for a dilation with a scale factor of 3.
Suppose that we have a point P(x, y) which is dilated by the
scale factor of 3. Now, after dilation of the coordinate, the final coordinates of that point P(x, y) will become P'(3x, 3y). If the scale factor would have been less than one the point will contract.
Therefore, the after the dilation by scale factor of 3, coordinates the point P(x, y) will become P'(3x, 3y).
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Help Help :(:(:(:(:(:(
Answers
Answer:
Kuroo Here!
Step-by-step explanation:
What do you need help with?
Approximately 9% of men have a type of color blindness that prevents them from distinguishing between red and green. suppose that 8 men are selected at random. what is the probability that at least one of them will have this type of red-green color blindness
Answers
Maria has already written 2/5 of her 1,000 word essay. If she continues writing at the same pace of 6One-half words per minute, which expression shows the amount of time it will take her to write the rest of the essay? please i just want to know how to get 3/5
Answers
Answer:
167 minutes
Step-by-step explanation:
i took the test this was right
hope this helps!
Answer:
I think the answer would be 1000 x 2 Over 5 divided by 13 Over 2
Step-by-step explanation:
Sorry if I'm wrong I'm in the test
A truck costs $80,000. It depreciates in value $6,000 per year. Write a linear model in the form v(t)=mt + b where v(t) represents the current value of the truck after t years of ownership.
Answers
The required expression is v(t) = 80,000 - $6000t
Cost of the truck = $80,000
Depreciation rate = $6000/year
What is cost price?
Cost price is that price for buyer which he pays to seller for an object or product.
Required expression-
m = $6000
t = time in years
b = original price
v(t) = mt + b
v(t) = -$6000t + $80000
negative sign for depreciation
Thus, the required expression is v(t) = 80,000 - $6000t
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What cup should Jacob pick
Answers
volume of cylinder = 3.14×1.5×1.5×4
1.34×2.25×4=
1.34×9=
12.06 in³
volume of cone =1/3×3.14×2×2×6
1/3×3.14×4×6
1/3×3.14×24
3.14×8
=25.12 in³
therefore he need to buy the cone shaped cup
is the mean of 2 3 4 6 x and 8 is 5 find the value of x
Answers
Step-by-step explanation:
The mean is the total sum of the numbers all over the amount of numbers in the question.
Mean=(2+3+4+6+x+8)÷6
NB: 6 is the number of figures available in the question
If Mean =5
5=(23+x)÷6
Multiply both side by 6
5 x 6 = 23 + x
30 = 23 + x
30 - 23 = x
7 = x
Answer:
7
Step-by-step explanation:
We can start by counting the number of values we have, which would be 6 if we count the x. Now multiply 5 by 6 and we get 30. Now we know that 2+3+4+6+x+8 is 30 and so we can subtract all the values, giving us x=7. If we substitute it back in, we get 2+8 which is 10, 4+6 which is also 10, and 7+3 which is 10 again. 10+10+10=30 and now divide 30 by 6 and we get 5; the mean. Hope this helps!
I need help figuring this out and how to do it
Answers
Answer:
5) y=2x^2+16x+32
Step-by-step explanation:
So the following equations on your paper are in vertex form. We want to turn these into standard form.
Remember, standard form is ax^2+bx+c and vertex form is y=a(x-h)^2+k
Lets expand our first problem, y=2(x+4)^2
y=2(x+4)(x+4)
y=2(x^2+8x+16)
y=2x^2+16x+32
Our answer for question 5 is y=2x^2+16x+32
If you need help with the other questions just add a comment.
Answer:
#5
y = 2(x + 4)^2 y = 2((x + 4)(x + 4))y = 2(x(x + 4) + 4(x + 4))y = 2(x^2 + 4x + 4x + 16) y = 2(x^2 + 8x + 16) y = 2x^2 + 16x + 32#6
y = -2(x + 2)^2 y = -2((x + 2)(x + 2)) y = -2(x(x + 2) + 2(x + 2)) y = -2(x^2 + 2x + 2x + 4) y = -2(x^2 + 4x + 4) y = -2x^2 - 8x - 8#7
y = -(x + 7)^2 y = -((x + 7)(x + 7)) y = -(x(x + 7) + 7(x + 7))y = -(x^2 + 7x + 7x + 49) y = -(x^2 + 14x + 49) y = -x^2 - 14x - 49#8
y = (x - 5)^2 + 9 y = (x - 5)(x - 5) + 9 y = x(x - 5) + (-5)(x - 5) + 9 y = x^2 - 5x - 5x + 25 + 9 y = x^2 - 10x + 25 + 9 y = x^2 - 10x + 36(a+7)2
please expand it
Answers
How many arrangements of the cabbages keep repeated words together.
Answers
It is 5,760.
Stay safe & humble <3
Which sentence about the division of two fractions is true? A. If the dividend is greater than the divisor, the quotient will be greater than 1. B.If the dividend is less than the divisor, the quotient will be greater than 1 C. If the dividend is equal to the divisor, the quotient will be less than 1 D. If the dividend is greater than the divisor, the quotient will be less than 1.
Answers
Answer:
A. If the dividend is greater than the divisor, the quotient will be greater than 1.
Step-by-step explanation:
Checking all options
A. If the dividend is greater than the divisor, the quotient will be greater than 1.
That is,
4 ÷ 3 = 1.33
Where,
4 is the dividend
3 is the divisor
1.33 is the quotient
THIS IS TRUE
B.If the dividend is less than the divisor, the quotient will be greater than 1
That is,
3 ÷ 4 = 0.75
Where,
3 is the dividend
4 is the divisor
0.75 is the quotient
NOT TRUE
C. If the dividend is equal to the divisor, the quotient will be less than 1
That is,
3 ÷ 3 = 1
Where,
3 is the dividend
3 is the divisor
1 is the quotient
NOT TRUE
D. If the dividend is greater than the divisor, the quotient will be less than 1.
That is,
4 ÷ 3 = 1.33
Where,
4 is the dividend
3 is the divisor
1.33 is the quotient
NOT TRUE
Therefore, option A is TRUE
Brittany uses a stopwatch to time how long it takes each day for her school bus to travel from her house to school. She finds that the times are distributed normally, with a mean of 21 minutes and a standard deviation of 2 minutes. If there are 180 school days each year, approximately how many times in Brittany's four years of high school will the school bus take more than 27 minutes to travel from Brittany's house to school? A. 18 B. 36 C. 1 D. 4
Answers
Answer:
C
Step-by-step explanation:
We start by calculating the z-score of 27 minutes
Mathematically z-score = (x-mean)/SD
FROM the question, mean = 21 and SD = 2
so z-score = (27-21)/2 = 6/2 = 3
The probability we want to calculate is P(z > 3)
we proceed to the standard normal distribution table to get this
P(z > 3) = 0.0013499
Now seeing this, we want to calculate the number of days.
Since there are 180 days in a year and we have 4 years, the total number of days = 180 * 4 = 720 days
The number of days in which the school bus took more than 27 minutes will be ;
720 * 0.0013499 = 0.971928 which is approximately 1
Answer:
C.1
Step-by-step explanation:
On edmentum this is correct.
if x=13 what is 5x - 2 =
Answers
Answer:
63
Step-by-step explanation:
5(13)-2 is 65-2 or 63.
HELPPP FOR FOR BRIANLEST!!!!
Answers
Using the pythagorean theorem, we have :
[tex]4^{2} + x^{2} = 8.5^{2}[/tex]
[tex]x^{2} = 72.25 - 16 = 56.25 \\x = \sqrt{56.25} = 7.5[/tex]
0.5(x4 − 9) + 17 PLS IN 3 MINS
Answers
Answer:
2x+12.5
Step-by-step explanation:
0.5(x4-9) +17
=0.5(4x-9)+12
=2x-4.5+17
=2x+12.5
The science club is planning a field trip to a museum. Each student will pay $10 for admission and an equal share of the $200 transportation cost. The total cost per student is given by the expression LaTeX: C=\frac{200}{S}+10C = 200 S + 10, where LaTeX: SS is the number of students that went on the field trip. What does the term LaTeX: \frac{200}{S}200 S in the expression represent?
Answers
Answer: [tex]\dfrac{200}{S}[/tex] represents the transport cost per student in the expression.
Step-by-step explanation:
Given: For trip,
Admission fee per student = $10
Transport cost (for all students0 = $200
Here, S represents the number of students went on the field trip.
Transport cost per student = (Total cost) ÷ Total student
So, [tex]\dfrac{200}{S}[/tex] represents the transport cost per student.
Hence, [tex]\dfrac{200}{S}[/tex] represents the transport cost per student in the expression.
HELP ASAP LOOK AT PICTURE
Answers
Answer:
A XD (um i dont know what else to put sof frpijfpoemd-eod)
A mother shared a sum of money amongst his three sons Jorge, Luis and Robert in the ratio of 3:5:4 respectively. If Robert received $320. How much was the total money shared?
Answers
she cut the sum in (3+5+4) in 12 parts
J had 3/12 of the sum S
L had 5/12 of the sum S
and R had 4/12 of the sum S
4/12 x S = 320
S = 320 x 12/4
S = 960
$960 shared
Find the common difference of the arithmetic sequence.
4, 10, 16, 22, . . .
Answers
Answer:
The answer is 6
Step-by-step explanation:
This is due to the nth term sequence going up by 6
PLEASE HELP
Can kept track of the number of hours that he spent at the pool each week for several weeks. He spent 8, 2, 7, 4, and 4 hours. What is the median number of hours that Van spent at the pool each week?
A. 6 hours
B. 25 hours
C. 4 hours
D. 5 hours
Answers
Answer: 4 Hours
Step-by-step explanation:
-x + 3 = 7
X=-4
X= 7
X= 4
X = -7
Answers
Answer:
x = -4
Step-by-step explanation:
Step 1: Write equation
-x + 3 = 7
Step 2: Solve for x
Subtract 3 on both sides: -x = 4Divide both sides by -1: x = -4Step 3: Check
Plug in x to verify it's a solution.
-(-4) + 3 = 7
4 + 3 = 7
7 = 7
Which matrix can be multiplied to the left of a vector matrix to get a new vector matrix? A. B. C. D.
Answers
Answer:
i think the answer will gonna be C.
Answer:
C plato
Step-by-step explanation:
If WX≅WZ and m∠WYX=48°, what is m∠WYZ?
Answers
Answer:
48 degrees
Step-by-step explanation:
Since triangles WZY and WXY are congruent by HL, angles WYZ and WYX are congruent by CPCTC.
WEDDING There were a total of 180
guests at a wedding. Of those guests,
37 ordered fish and 60 ordered
chicken. If the remainder of the
guests ordered steak, how many
ordered steak?
Answers
83 people ordered steak