Answers
Explanation:
AB || DC means we know that angle ABD = angle CDB. They are alternate interior angles. This is shown as the red angle markers in the diagram below.
Similarly, AD || BC leads to angle DBC = angle BDA. They are also alternate interior angles and they are marked in green in the diagram below.
So far we have two pairs of congruent angles.
The pair of congruent sides is BD = BD by the reflexive property. Any segment is congruent to itself.
So we can use ASA to prove the triangles congruent. Note the segment BD is between the angles mentioned.
Related Questions
Write the improper fraction 62/9 as a mixed number.
Answers
Answer:
62/9
Step-by-step explanation:
8. A substance has a half life of 2.347 minutes.
a. If the initial amount of the substance was 110.4 grams, how many half-lives will have passed
before the substance decays to 6.9 grams.
b. What is the total time of the decay?
Answers
Answer:
a.) 4 half lives have passed
b) 9.388 minutes
Step-by-step explanation:
Formula for exponential growth / decay is given as:
[tex]A=A_0b^{\frac{t}{c}}[/tex]
Where [tex]A[/tex] is the final population
[tex]A_0[/tex] is the initial population
[tex]b[/tex] is the growth factor
[tex]c[/tex] is the time taken for the growth 'b'
[tex]t[/tex] is the amount of time
Here, we are given that:
[tex]A[/tex] = 6. 9 grams
[tex]A_0[/tex] = 110.4 grams
[tex]b = \dfrac{1}{2}[/tex]
[tex]c = 2.347[/tex] min
To find:
a.) Number of half lives taken for the decay.
b.) Total time in the decay.
Solution:
a.) Number of half lives taken for the decay is nothing but equal to [tex]\frac{t}{c}[/tex].
Putting the values in the formula, we get:
[tex]6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4[/tex]
Therefore, the answer is:
4 half lives have passed.
b.) Total time of decay. We have to find the value of [tex]t[/tex] here.
From answer of part a.):
[tex]\dfrac{t}{c} =4\\\Rightarrow \dfrac{t}{2.347} =4\\\Rightarrow t =\bold{9.388\ min}[/tex]
hey guys what is this type of equation/ question called 1 < x < 30
Answers
Answer:
2,3,4,5,6,7,8,9,10,...29
Step-by-step explanation:
Francesca obtains a loan of $18.965.00. The loan has a simple interest rate of 3%. How much interest will Francesca owe at the end of the first year?
Answers
Answer:
$568.95
Step-by-step explanation:
Given parameters:
Value of loan = $18965
Interest rate = 3%
Time = 1year
Unknown:
Interest = ?
Solution:
The interest on a particular amount is given as:
I = [tex]\frac{PRT}{100}[/tex]
I is the interest
P is the principal
R is the rate
T is the time
I = [tex]\frac{18965 x 3 x 1}{100}[/tex] = $568.95
Please help, this chapter was on derivatives...
Answers
(3) Differentiating both sides of
[tex]2x^{3/2} + y^{3/2} = 29[/tex]
with respect to x gives
[tex]3x^{1/2} + \dfrac32 y^{1/2} \dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]
Solve for dy/dx :
[tex]\dfrac32 y^{1/2} \dfrac{\mathrm dy}{\mathrm dx} = -3x^{1/2} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{-3x^{1/2}}{\frac32y^{1/2}} = \dfrac{-2x^{1/2}}{y^{1/2}} = -2\sqrt{\dfrac xy}[/tex]
Then the slope of the tangent line to the curve at (1, 9) is
[tex]\dfrac{\mathrm dy}{\mathrm dx} = -2\sqrt{\dfrac19} = -\dfrac23[/tex]
The equation of the tangent line would then be
y - 9 = -2/3 (x - 1) ==> y = -2/3 x + 29/3
(4) The slope of the tangent line to
[tex]y=\dfrac{ax+1}{x-2}[/tex]
at a point (x, y) on the curve is
[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{a(x-2)-(ax+1)}{(x-2)^2} = -\dfrac{2a+1}{(x-2)^2}[/tex]
When x = -1, we have a slope of 2/3, so
-(2a + 1)/(-1 - 2)² = 2/3
Solve for a :
-(2a + 1)/9 = 2/3
2a + 1 = -18/3 = -6
2a = -7
a = -7/2
An airplane flies at an elevation of 500 feet above sea level. A whale swims the same distance below sea level, what number represents the elevation of a whale?
Answers
Answer:
500 below because you just do the opposite
Which is the net force acting on a 1.7-kg object that is accelerating at 5.0 m/s??
A. 8.5 N
B. 2.9 N
C. 0.34 N
D. 3.3 N
Answers
Answer:
A. 8.5 N
Step-by-step explanation: F = 8.5 N
Please help me thank you.
Answers
Answer:
-4+2
Step-by-step explanation:
5. €1575 was shared among three people in the ratio 1:2:1/2
Calculate the smallest share.
Answers
Answer:
€225
Step-by-step explanation:
Given that:
1575 shared in the ratio 1 : 2 : 1/2
Total sum of ratio = (1 + 2 + 1/2) = 3 1/2
Ratio 1 amount :
(1 / 3.5) * 1575 = 450
Ratio 2 amount :
(2 / 3.5) * 1575 = 900
Ratio 1/2 amount :
(1/2 ÷ 3.5) * 1575 = 225
Smallest share = $225
Three friends go grocery shopping together, and each buys the same kind of
oranges. LaMar buys 2 pounds (lb) and pays $1.00. Enrico buys 4 pounds and
pays $2.00. Anna buys 3 pounds and pays $1.50.
Identify the aranh and unit price that represent the orange costs.
Answers
Answer: C In my case
Step-by-step explanation:
Well you wanna choose the one with 1,2,3,4 as its pounds and that should be correct with the 50 cents in dollars.
15% of 24% of $3500 is $___?
Answers
Answer:
126
Step-by-step explanation:
Answer:
126
Step-by-step explanation:
24% of 3500=840
15% of 840=126
Gina bought 4 bags of grapes that weighed 2.29 pounds each. The grapes were priced at $2.50 per pound. The expression below represents the total cost of the bags of grapes Gina bought, in dollars.
(2.29×2.50)×4
Which expression below is also equivalent to the total cost of the grapes?
( 2.29 + 4 ) × 2.50
4 × ( 2.50 + 2.29 )
( 2.29 × 4 ) + 2.50
2.29×(2.50×4)
Answers
Answer:
2.29 × (2.50 × 4) is equivalent.
Step-by-step explanation:
It doesn't matter what order multiplication happens in, it will result in the same answer!
Help anyone 5th grade math
Answers
Answer:
Equal???
Step-by-step explanation:
Choose True or False for each statement.
Column A
1.
If the distance from 0 to x on a number line is equal to 2, then -2 + X = 0.:
If the distance from 0 to x on a number line is equal to 2, then -2 + X = 0.
2.
If the distance from 0 to x on a number line is less than 2, then -2 + X = is negative.:
If the distance from 0 to x on a number line is less than 2, then -2 + X = is negative.
3.
If the distance from 0 to x on a number line is greater than 2, the -2 + X is positive.:
If the distance from 0 to x on a number line is greater than 2, the -2 + X is positive.
4.
If the distance from 0 to x on a number line is greater than 0, then -2 + X is positive.:
If the distance from 0 to x on a number line is greater than 0, then -2 + X is positive.
Answers
The area of the rectangle flower bed shown is
20.4 square meters. How many meters of edging are needed to go around the flower bed?
Answers
Answer:
I think 5.4
Step-by-step explanation:
Take it and divide by the number of sides
The Perimeter of rectangle is 27.4 m
What is Area of rectangle?The area of rectangle is product of its length to tis width.
So, Area of rectangle = length x width
Given:
Area of the flower bed = 20.4 square meters.
length = 12 m
As a rectangle, its area be
A = l x w
20.4 = 12 w
w= 20.4/ 12
w= 1.7
Now, Perimeter of rectangle
= 2( l + w)
= 2( 12+ 1.7)
= 27.4 m
Hence, the Perimeter of rectangle is 27.4 m
Learn more about area of rectangle here:
https://brainly.com/question/13021557
#SPJ2
Suppose that 2 were subtracted from each of the values in a data set that
originally had a standard deviation of 7.5. What would be the standard
deviation of the resulting data?
A. 2
B. 7.5
C. 9.5
O D. 5.5
Answers
Answer:
Option B. 7.5 is the correct answer
Step-by-step explanation:
Let us define standard deviation first.
Standard deviation is the square root of variance. Standard Deviation tells us that how far are the values in a data set from the mean.
Now, if a constant is subtracted from all values of a dataset, the standard deviation remains the same. Only the origin or mean of the data changes by subtracting a constant from whole data set.
Given that the standard deviation of dataset is 7.5
Subtracting 2 from each value of dataset will not change the standard deviation as 2 is a constant.
Hence,
Option B. 7.5 is the correct answer
Answer:
7.5 it stays the same
Step-by-step explanation:
Determine the y-intercept for 3x+2y=14
Answers
Answer:
Using the slope-intercept form, the y-intercept is 7
Step-by-step explanation:
Answer: y=7-3x/2 3x/2 is seen as a fraction
Step-by-step explanation:
Move all the terms that don’t contain y to the right and then solve
Biologists tagged 134 fish in a lake on January 1. On February 1, they returned and collected a random sample of 56 fish, 14 of
which had been previously tagged. On the basis of this experiment, approximately how many fish does the lake have?
Answers
Answer:
There should be 120 fishes approximately in the lake
Maria needs to be at the airport terminal at 15:20. It will take 2 hours to
drive to the airport from her home, and a further 30 minutes to park and get
to the terminal.
What is the latest time she should leave home?
Give
your answer as a time in the 24-hour clock.
Answers
Answer:
12:50
Step-by-step explanation:
15:20 - 2h= 13:20
13:20-30 min= 12:50
Answer:
12:50
Step-by-step explanation:
If it takes 2 hours to get there, you subtract 2 hours from 15:20 which gives you 13:20. It also says that she needs 30 minutes to park so you subtract that from 13:20 giving you 12:50
Estimate 9146 x 174 by first rounding each number so that it has only 1 nonzero digit.
Answers
Answer:
1,800,000
Step-by-step explanation:
9146 * 174
Estimate: 9000 * 200 = 1,800,000
pattern 60 52 44 36
Answers
Fill in the table using this function rule.
y=-3x + 5
Answers
Answer:
y=-3(-4)+5,,,, you get y=12+5 y=17
y=-3(-2)+5,,,, you get y=6+5 y=11
y=-3(0)+5,,,, you get y=0+5 y=5
y=-3(2)+5,,,, you get y=-6+5 y=-1
Step-by-step explanation:
hope it helps:)Answer this please thanks
Answers
Answer:
No.
Step-by-step explanation:
Because the line doesn't pass through the origin (0,0).
In the figure above, how would you set up your equation?
Answers
Step-by-step explanation:
2×+6 + 5 = X+10
2x -x =10 -11
x= - I
BC = 2(-1) + 6=4
AC = -1+10 = 9
helppppp please I will give brainliest
Answers
The B is 2. B is the Y Intercept.
Consider the following equations: y = x minus 2. y = 2 x minus 2. y = negative x minus 2. y = negative 2. Discuss the similarities and difference in the graphs of these equations. (Use a graphing calculator if needed.) a. Same slopes; different y-intercepts b. Same slopes; same y-intercepts c. Different slopes; same y-intercepts d. Different slopes; different y-intercepts
Answers
the answer would be C.
Explanation:I got it correct
Answer: c Different slopes; different y-intercepts
Step-by-step explanation:
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Answers
Answer:
113
Step-by-step explanation:
Answer:
diameter =6 cm
radius =3cm
shaded area =area of square- area of circle
= a^2 - πr^2
=(6)^2-3.142(3)^2
=36-3.142×9
=36-28.278
=7.622
Isidro wants to purchase a used scooter that costs $89.75. The sales tax is found by multiplying the price of the scooter by 0.08. Find the total amount of money Isidro will pay. Round to the nearest cent.
Answers
Answer:
96.93
Step-by-step explanation:
89,75+
A chess game comes with two kings, two queens, four rooks, four Bishops, four knights, and sixteen pawns (a total of 32 pieces). A game piece is randomly selected, replaced, then another is chosen. Find the probability of selecting a king or queen, then a pawn.
Answers
Answer:
3/32
Step-by-step explanation:
Plz mark as brainliest!!!
Describe your understanding of finding percents of a whole.
Answers
Step-by-step explanation: Write down the whole number amount, for example: 500. Calculate the equation. The result is the decimal equivalent of the percentage. Multiply the decimal equivalent of the percentage by 100; or move the number's decimal point over two places to the right.