Answer:
The key is to prove that the triangles are congruent, then their corresponding parts are congruent.
Step-by-step explanation:
#5)
It it given that:
Angle CBD is congruent to angle CDB.
Angle BAE is congruent to angle DEA.
Triangle CBD is isosceles because it's base angles are equal. Therefore, segment CB is congruent to segment CD.
Triangle CAE is isosceles because it's base angles are equal. Therefore, segment CA is congruent to segment CE.
CA-CB=BA
CE-CD=DE
segment BD is congruent to segment DB.
Angle ABD is supplementary to angle CBD (180-angle CBD= angle ABD).
Angle EDB is supplementary to angle CDB (1980-angle CDB=angle EDB).
therefore, angle ABD=angle EDB.
Triangles ABD and EDB are congruent because of the Side-angle-side theorem.
Triangles ABD and EDB are congruent, segment AD is congruent to segment EB because corresponding legs of congruent triangles are congruent.
#6)
It is given that:
Angle EBC is congruent to angle ECB
Segment AE is congruent to segment DE.
Triangle BEC is iscsceles because it's base angles are equal. Therefore, segment EB is congruent to segment EC.
AE+EC=AC
DE+EB=DB
segment BC is congruent to segment CB.
Triangle BAC is congruent to triangle CDB because of the side-angle-side theorem.
Segment AD is congruent to segment DC because corresponding legs of congruent triangles are congruent.
Answer:
Problem 5)
Step 1: < CBD = <CDB Reason: given
Step 2: BC = CD Reason: opposed sides in the isosceles triangle BCD
Step 3: < BAE = < DEA Reason: given
Step 4: AC = CE Reason: opposed sides in the isosceles triangle ACE
Step 5: triangle ACD = triangle BCE Reason: angle <C is common, and equal sides shown above so use SAS theorem.
Step 6: AD = BE Reason: third side in the equal triangles shown above.
Problem 6)
Step 1: < ECB = <EBC Reason: Given
Step 2> triangle BEC is isosceles Reason: has two equal angles
Step 3: BE = EC Reason: opposite sides in the isosceles triangle
Step 4: <DEC = < AED Reason: opposed by the vertex (vertical angles)
Step 5: AE = ED Reason: given
Step 6: triangle BAE = triangle EDC Reason SAS theorem
Step 7: side AB = side CD Reason: third side in the equal triangles
Calculate and write your answer in standard form.
(7x10^-4) divided by(4x10^4)
I
Enter your math answer
1) Which is the slope in the following linear equation?
y= 7x + 3
A. 3
B. 11
C. 7
D. 4
Answer:
C. 7
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 7x + 3
Step 2: Break Function
Identify Parts
Slope m = 7
y-intercept b = 3
I NEED HELP ASPPPP! GIVE POINT IF YOU HELP!
Answer: All you have to do is since one batch needs 1 1/3 cup of walnuts multiply 1 1/3 to 3 3/4 = 3 1/4 cups
Step-by-step explanation:
a) Expand and simplify (4x + 3)(2x - 5)
Answer:
8x² - 14x - 15
Step-by-step explanation:
(4x + 3)(2x - 5)
8x² - 20x + 6x - 15
8x² - 14x - 15
Answer:
Step-by-step explanation:
Use FOIL, first outside inside last.
4x*2x - 5*4x + 3*2x - 3*5
[tex]8x^2-20x+6x-15\\8x^2-14x-15\\[/tex]
please helppp me on this math question
Answer:
C=F/M
C=2640/75
C=35.20
$35.20 Per Band Member
Step-by-step explanation:
C= Cost Per Band Member
F = Food and Bus Cost
M = Band Members
Answer:
The answer is 32.2 (35 with ramainder of 15)
Step-by-step explanation:
THE ANSWER IS 35 WITH REMAINDER OF 15
Answer the statistical measures and create a box and whiskers plot for the following set of data
2,5,7,8,8, 10, 11, 12, 14, 14, 15, 16, 18, 18, 19
Min:
Q1:
Med:
Q3:
Max:
Answer: 478161
Step-by-step explanation:
Apply the distributive property to factor out the greatest common factor. 21e + 35 =
Answer:
7(3e+5) alternative form 92.08392
Step-by-step explanation:
Solve the equation.
с/8 = 9
c =
Starting at 6 a.m. every morning, Matilda receives text messages on her cell phone from her mother, her best friend, and her brother according to three independent Poisson processes. Her mother texts Matilda on average once every hour. Her best friend sends a message once every 10 minutes, and she receives messages from her brother every 30 minutes.
A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
Answer:
a) 0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
b) [tex]1.6 \times 10^{-9}[/tex] probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
Step-by-step explanation:
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
Two from the best friend:
Her best friend sends a message once every 10 minutes.
From 6 to 7:30, there is an hour and a half, that is, 90 minutes, so the mean for her best friend is [tex]\mu = \frac{90}{10} = 9[/tex]
Two messages is P(X = 2). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-9}*9^{2}}{(2)!} = 0.0050[/tex]
Two from the mother:
Message every hour = 60 minutes. So [tex]\mu = \frac{90}{60} = 1.5[/tex]. This is P(X = 2).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-1.5}*1.5^{2}}{(2)!} = 0.2510[/tex]
Two of her best friend and two of her mother:
Independent events, so the probability of both happening is the multiplication of their separate probabilities.
[tex]p = 0.005*0.251 = 0.0013[/tex]
0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
In 3 hours, she is expected to receive:
3*60/10 = 18 messages from her best friend.
3*60/60 = 3 messages from her mother.
3*60/30 = 6 messages from her brother.
In total, 27 messages.
75% probability of a typo, so [tex]\mu = 0.75*27 = 20.25[/tex]
This is P(X = 0).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-20.25}*20.25^{0}}{(0)!} = 1.6 \times 10^{-9}[/tex]
[tex]1.6 \times 10^{-9}[/tex] probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
3 35/44 as a decimal
Answer:
3.79545454545 or 3.7954 with a little line over the 54 showing its repeating.
Answer:
Step-by-step explanation:
Your decimal will be 3.6 because to convert 3 33/55 into decimal:
Step 1: Divided the numerator 33 divided by the denominator 55 33 divided by 55 = 0.6.
Step two: add 0.6 to the integer part. 3 + 0.6 = 3.6
So 3 33/55 as a decimal is 3.6
Here’s the rounded value also:
3 33/55 = 4 rounded to 0 decimal places.
hi i need help please:))
Answer:
i got 96
Step-by-step explanation:
you have to find the unit rate for 1 driveway and times that by 12
32 divided by 4 is 8
8 x 12 is 96
hope this helps :)
PLEASE HELP ASAP 10+ PTS!!
Answer:
(x,y) = (25,15)
Step-by-step explanation:
In a parallelogram, alternate angles are equal, so
[tex]\left \{ {{3x-8=4y+7} \atop {4x+13=5x-12}} \right.[/tex]
From the latter equation we obtain [tex]x= 13 + 12 = 25[/tex]. So substituting in the former equation gives
[tex]75-8 = 4y + 7\\4y = 60\\y = 15[/tex]
Coterminal angle between 0 degrees and 360 degrees if coterminal angle is -450
Using equivalent angles, it is found that the coterminal angle is of 270º.
Equivalent Angles:In the trigonometric circle, ranging from 0 to 360º, each angle has an equivalent on the each quadrant.A negative angle is given by the trigonometric circle in clock-wise rotation, hence, to convert to positive, we keep adding 360º.In this problem:
The angle is of -450º.-450 + 360 = -90º, which means that the original angle gave more than one lap of the circle.Adding again, -90 + 360 = 270º, which is the coterminal angle.You can learn more about equivalent angles are https://brainly.com/question/21737963
Which figure best represents a rhombus?
Answer:
it's the second one a rhombus is a diamond
will mark brainliest need answer asap first person to answer gets brainliest
Answer:
A= [tex]4x+8[/tex]
B= [tex]8x+6x \\or\\ 16x[/tex]
C= [tex]8x+12[/tex]
D= [tex]6x+6y+6z[/tex]
Step-by-step explanation:
Distributing, or the means to divide something/create a share or part of something is when we multiply the sum of two or more addends by a number to achieve the same result as multiplying each addend individually by the number then adding the products together.
With this said, part A would look like this:
[tex]4(x+2)\\4(x) + 4(2) = ?\\4x + 8[/tex]
Now, the problem doesn't specifically state to solve the problem, but if you wanted too it would look like this:
[tex]4x + 8=0\\-8 \\4x=-8\\divide 4\\4=GCF\\x=-2[/tex]
Since we are just looking for the equation, the following problems would appear as so:
B:
[tex](6+8)*x\\x(8) + x(6)\\8x+6x\\14x[/tex]
C:
[tex]4(2x+3)\\4(2x)+4(3)\\8x+12[/tex]
D:
[tex]6(x+y+z)\\6(x) +6(y)+6(z)\\6x+6y+6z[/tex]
Another way to view the distributive property is that your distributing the number outside the parenthesis to all the number inside as such.
I would be happy to help you again in the future and hope that this provided you with some clarification! Have a nice day! :D
Scott is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Scott wants to get 59 balloons, how many yards of string will he need?
1 foot =
1
3
yard
5.6 is what percent of 70?
Answer:
8%
cba to explain loolll
Suppose that a box of 86 circuits is sent to a manufacturing plant. Of the 86 circuits shipped, 5 are defective. The plant manager receiving the circuits randomly selects 2, without replacement, and tests them. If both circuits work, the manager will accept the shipment. Otherwise the shipment is rejected. What is the probability that the shipment is accepted
Answer:
the probability that the shipment is accepted is 0.8865
Step-by-step explanation:
Given the data in the question;
N = 86, n/d = 5 and n = 2
now, without replacement
the probability that the shipment is accepted will be;
probability that the shipment is accepted = probability that non is defectives
so p( non is defective ) = ( (86-5)/86) × ((86-5-1)/(86-1))
p( non is defective ) = ( 81 / 86) × (80/85)
p( non is defective ) = 0.8865
Therefore, the probability that the shipment is accepted is 0.8865
1 ½ - 6/10 =
HELP PLS
Answer:
0.9
Step-by-step explanation:
1 1/2 = 1.5
6/10 = 0.6
1.5 - 0.6 = 0.9
Which statements are correct based on the graph? Select all that apply.
BCDE is rotated 90° to form JKLM.
PQRS is rotated 90° to form JKLM.
BCDE is rotated 180° to form JKLM.
JKLM is rotated 180° to form BCDE.
PQRS is rotated 180° to form BCDE.
Answer:
2,3,4
Step-by-step explanation:
hope this helps=D
Answer:
B,C,D
Step-by-step explanation:
An investment service is currently recommending the purchase of shares of Dollar Department Store selling at $18 per share. The price is approximately normally distributed with a mean of 20 and a standard deviation of 2. What is the probability that in a year the shares will be selling: Between $21 and $24
Answer:
0.2857 = 28.57% probability that in a year the shares will be selling between $21 and $24
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The price is approximately normally distributed with a mean of 20 and a standard deviation of 2.
This means that [tex]\mu = 20, \sigma = 2[/tex]
What is the probability that in a year the shares will be selling between $21 and $24
This is the pvalue of Z when X = 24 subtracted by the pvalue of Z when X = 21. So
X = 24:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24 - 20}{2}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
X = 21:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 20}{2}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915
0.9772 - 0.6915 = 0.2857
0.2857 = 28.57% probability that in a year the shares will be selling between $21 and $24
Add 3 to the product 10 and 4
Answer:
The product of" , means multiply , the product of 10 and 4 is 40 , plus 3, 43?
The solution of the expression is,
⇒ 43
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ Add 3 to the product 10 and 4
Now, We can simplify as;
⇒ 3 + (10 × 4)
⇒ 3 + 40
⇒ 43
Thus, The solution of the expression is,
⇒ 43
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
What is the value of the constant in the equation that relates the height and
width of this rectangle?
Answer:
The answer is A
30
The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm
Answer:
The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere is given by the following equation:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In which r is the radius.
Implicit derivatives:
This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So
[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]
The radius of a sphere is increasing at a rate of 4 mm/s.
This means that [tex]\frac{dr}{dt} = 4[/tex]
How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm?
This is [tex]\frac{dV}{dt}[/tex] when [tex]r = \frac{d}{2} = \frac{60}{2} = 30[/tex]. So
[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]
[tex]\frac{dV}{dt} = 4\pi*(30)^2*4[/tex]
[tex]\frac{dV}{dt} = 1508[/tex]
The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
help 16 points Select all of the true statements.
A.
All rhombuses are squares.
B.
All rectangles are parallelograms.
C.
All quadrilaterals are trapezoids.
D.
All squares are parallelograms.
E.
All trapezoids are parallelograms.
Answer:
a and b I think
Step-by-step explanation:
I'm not sure if that is right i haven't learned that in a while
A store is instructed by corporate headquarters to put a markup of 25% on all items. An item costing $16 is displayed by the store manager at a selling price of $4. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
Answer:
$20
Step-by-step explanation:
the manager's error could likely be putting the percentage mark up rather than the markup price added to the original price
25%×16
= $4
mark up price= (16+4)$
= $20
When you multiply a given fraction by a factor greater than 1, the product will (always, sometimes, never) be less than the given fraction
9514 1404 393
Answer:
sometimes
Step-by-step explanation:
For positive numbers, multiplying by a factor greater than 1 increases their value:
(1/2) × 2 = 1 > 1/2
For negative numbers, multiplying by a factor greater than 1 decreases their value:
(-1//2) × 2 = -1 < -1/2
So, "sometimes" the product will be less than the given fraction.
Suppose that a balanced, six-sided die has been altered so that the faces are 1, 2, 3, 4, 5, and 5. If the die is tossed five times, and the number on the uppermost face is recorded each time, what is the probability that the numbers recorded are 1, 2, 3, 4, and 5 in any order
Answer:
0.0309
Step-by-step explanation:
Faces on dice ( 1, 2, 3, 4, 5, 5)
Number of outcomes = 6
With 5 repeated twice
P(event A) = Required outcome / Total possible outcomes
Required outcome :
Number of 5's = 2 * distinct faces!
Required outcome = 2 * 5! = 2 * 120 = 240
Total possible outcomes = (number of faces)^distinct Numbers = 6^5 = 7776
Required / total possible = 240 / 7776
= 0.0308641
= 0.0309
The perimeter of a rectangle is 32 meters. The length is 5 less than twice the width. Find the length and the width of the rectangle.
length:___ Width:____
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!