In a trapezoid with bases of lengths a and b, a line parallel to the bases is drawn through the intersection point of the diagonals. Find the length of the segment that is cut from that line by the legs of the trapezoid. Plz explain thx
Answers
Answer:
Consider the trapezoid ABCD. In this trapezoid BC=a and AD=b.
Since triangles BOC and AOD are somilar, then
[tex] \dfrac{AO}{OC}=\dfrac{DO}{OB}=\dfrac{AD}{BC}=\dfrac{b}{a}. [\tex]
OC/AO = OB/DO = BC/AD=/ba
Triangles OAE and CAB are similar
EO/BC=b/(a+b)
EO=ab/(a+b)
again
OF=ba/(b+a)
and.
EF=2a/(a+b) is arequired length.
Related Questions
x + 5 x < -2 4 – x2 -2
Answers
x2 < −6x − 26
x < -x2/6 - 13/3
a Toyota Yaris goes 15 km on one litre of petrol how much petrol will it need to get to paga from bawku,120km
Answers
Answer:
8 litre
Step-by-step explanation:
very simple 120÷15=8
hope it helps you
please mark me as brainlist
I choose a card at random from a well-shuffled deck of 52 cards. There is a 1/4 probability that the card chosen is a spade, a 1/4 probability that the card is a heart, a 1/4 probability that the card is a diamond, and a 1/4 probability that the card is a club. Both spades and clubs are black cards, whereas hearts and diamonds are red. The events card is a heart and card is a club are
Answers
Answer:
The answer is "disjoint events".
Step-by-step explanation:
Please find the complete question in the attached file.
In this question, the Disjointed events were not connected, throughout this, Some other approach to disorganized events was its lack of common outcomes. When it can come at the same time, two events are exclusive to each other. A whole term, that implies excluding each other is disjoined. If had some are united, the chance of them both happening on one is 0, throughout this question, both heart and club can't be cards at the very same time.
Linear equations -5(-5x+3)-5x+5=-50
Answers
Answer:
x=-30
Step-by-step explanation:
25x+15-5x+5=-50
20x+10=-50
20x+10-10=-50-10
2x=-60
x=60/2
x=-30
Hope it helps!
(I tired hard:))
How many cups of yogurt would 5 people get if they equally shared 3/4 cups of yougurt
Answers
Directions: Find each product. Show your solution. .
1) 0.35 x 24 =
2) 0.59 x 29 =
3) 2.45 x 5 =
4) 0.84 x 3 =
5) 0.45 ~ 63=
6) 3.54 x 0.59=
7) 5.28 x 1.18 =
8) 4.37 x 0.58 =
9) 7,05 * 0.52 =
10) 2.36 x 1.28=
[tex]0.35 \times 24 = [/tex]
Answers
Answer:
.
1) 0.35 x 24 =8.4
2) 0.59 x 29 =17.11
3) 2.45 x 5 =12.25
4) 0.84 x 3 =2.52
5) 0.45 ×63=28.35
6) 3.54 x 0.59=2.0886
7) 5.28 x 1.18 =6.2304
8) 4.37 x 0.58 =2.5346
9) 7.05 * 0.52 =3.666
10) 2.36 x 1.28=3.0208
[tex]0.35 \times 24 = [/tex]=8.4
Answer:
1) 8.4
2) 17.11
3) 12.25
4) 2.52
5) 28.35 (if numbers are multiplied)
6) 2.0886
7) 6.2304
8) 2.5346
9) 3.666
10) 3.0208
Plz help with the problem in the picture. Thanks
Answers
They call me human calf
Answer: x(0,0)y(0,0) tell me more I don't really understand it
x=3.4
Step-by-step explanation:
18 Which expression below is equivalent to -3x + 5(x + 2)? Circle the
correct answer.
A 2x + 2
B.
-x+ 2
C 2x + 10
D
- 8x + 10
Kaitlin chose A as the correct answer. How did she get that answer?
Answers
Answer:
C
Step-by-step explanation:
First, use the distributive property to open the parentheses:
-3x + 5x + 10
2x + 10
The correct answer is C
Kaitlin forgot to use the distributive property on both the x and 2.
Hope this helps!
Read the picture carefully...there can be more than ONE ANSWER
Answers
Answer:
D
Step-by-step explanation:
a circle with the diameter of 40 inches. what is the area?
Answers
Answer:
A= 1256
Step-by-step explanation:
The formula for area of a circle is [tex]A=\pi r^{2}[/tex]
1. Diameter is DOUBLE of radius, so the diameter must be divided by 2. 40/2 = 20.
2. Then, plug in the values into the area formula. A= 3.14[tex](20^{2})[/tex]
3. Solve. A= 1256. (Remember that 20 squared is 20x20)
What is the height of a trapezoid whose bases have lengths of 11 units and 18 units and whose area is 87 square units?
its either
Question 1 options:
5 units,
3 units, or
6 units
Answers
Answer:
6 units is answer for it may be correct check it
Answer:
6
Step-by-step explanation:
Took the test on k12
1. Show that
(10a + 5)^2 = 100a(a + 1) + 25,
for every a real number. How is this formula explaining the rule we have, to square a number
which ends in 5, such as
25^2 = 625, 35^3 = 1225, 105^2 = 11025^2, etc. ?
Answers
Answer:
(10a+5)²= 100 a( a+1) + 25
Step-by-step explanation:
Explanation:-
Given
(10a+5)²
By using (a+b)² = a² +2ab +b²
= (10a)²+ 2 × 10a× 5 + (5)²
= 100a² + 100a + 25
= 100 a( a+1) + 25
A survey was carried out on 40 travelers . 12 of them said they had traveled to Ghana and not to Cameroon. 8 said they had travelled to Cameroon and not Ghana. 10 said they had not traveled to either one of the countries. Draw a Venn diagram to find 1. The number of travelers that had gone to both countries before. 2. The number of travelers that had gone to Ghana before.
It’s urgent.
Answers
Answer:
10 ; 22
Step-by-step explanation:
Ghana = G
Cameroon = C
Cameron only = 8
Ghana only = 12
Total sampled = 40
Both Ghana and Cameroon = x
Not traveled to either = 10
Ghana only + Cameroon only + both Ghana and Cameroon + not traveled to either = total sampled
12 + 8 + x + 10 = 40
30 + x = 40
x = 40 - 30
x = 10
Number that had gone to Ghana before :
Ghana only + both
12 + x
12 + 10
= 22
Answer:
Step-by-step explanation:
what is 6% of $4100.
Answers
Answer:
$246
Step-by-step explanation:
Ashley, Bob, Claire, and Daniel are among 13 students who entered a lottery to win a free vacation to Paris.
Only 4 people will be chosen at random. What is the probability that Ashley, Bob, Claire, and Daniel will be
chosen? (Lesson 19.3) (1 point)
Answers
Answer:
0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the students are chosen is not important, so the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So
[tex]D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1[/tex]
Total outcomes:
4 students from a set of 13(number of students in the lottery). So
[tex]T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{1}{715} = 0.0014[/tex]
0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.
3
What is the remainder when 2,308 is divided by
nine? Give your answer as a fraction.
Answers
Answer:
254 R 6
Step-by-step explanation:
Answer:
256 7/16
Step-by-step explanation:
2308/9 = 256 7/16
I NEED HELP PLSSSSSSS
Answers
Evaluate
28.47% of 637.38cm
Give your answer rounded to 2 DP.
cm
Answers
Answer: 181.46 cm.
Step-by-step explanation: The real answer is 181.462086 cm but we can round that to 2 decimal places.
= 181.46
234.2 in expanded form
Answers
Answer:
Expanded Notation Form:
234.2
=
200
+
30
+
4
+
0.2
Expanded Factors Form:
234.2
=
2 ×
100
+
3 ×
10
+
4 ×
1
+
2 ×
0.1
Expanded Exponential Form:
234.2 =
2 × 102
+
3 × 101
+
4 × 100
+
2 × 10-1
Word Form:
234.2 =
two hundred thirty-four and two tenths
Complementary angles
Find the value of x in each right angle.
I cannot get this wrong
Answers
Answer:
The value of x = 28°
Step-by-step explanation:
Explanation:-
Complementary angles:-
Two angles are called Complementary angles when their measures add to 90 degrees
∠A + ∠B = 90°
(x+40)° + 22° = 90°
x + 62° = 90°
x = 90 - 62
x = 28°
a bottle of orange juice holds for 4/6 quarts of juice. a bottle of pineapple juice holds 2/3 quarts of juice. which bottle has more juice
Answers
Answer:
the orange juice has more ounces than the pineepple juice
Step-by-step explanation:
Using the table below, determine how much you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares.
Answers
The amount you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares is:$15.
DividendUsing this formula
Amount=Dividend (Div)×Number of shares
Where:
Dividend=0.15
Number of shares=100
Let plug in the formula
Amount=0.15×100
Amount=$15
Therefore the amount you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares is: $15.
Learn more about dividend here:https://brainly.com/question/2960815
#SPJ2
I really need help please answer would help a lot
Answers
Answer:
z=13
Step-by-step explanation:
The sum of the two angles is 90 degrees
2z+5 + 5z-6 = 90
Combine like terms
7z-1 = 90
Add 1 to each side
7z-1+1 = 90+1
7z = 91
Divide each side by 7
7z/7 = 91/7
z =13
Answer:
5
Step-by-step explanation:
i had my teacher help me with I am on a one on one zoom
Jacob makes a scale drawing for a crate with a scale factor of 1:20. The dimensions of his scale drawing are 3 inches long by 2 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:10. What are the dimensions of the builder's scale drawing? O A. The length is 6 inches and the width is 4 inches. B. The length is 4 inches and the width is 6 inches. O C. The length is 1.5 inches and the width is 1 inch. D. The length is 1 inch and the width is 1.5 inches. SUBMIT
Answers
Answer: 6 inches long and 4 inches wide
Step-by-step explanation: The dimensions of the actual crate are 20 times those on Jacob's drawing. The dimensions on the builder's drawing are 1/10 of those, so (1/10)(20) = 2 times the dimensions on Jacob's drawing.
hope this helps
The function h is defined by h(x)=x^2 +2.
Find h(3y).
Answers
Find h(3y).
The answer is 2+9 _
what's 6 to the power of 900?
Answers
Answer:
5400
Step-by-step explanation:
6x900 =5400 this is the correct answer
in a pack of 24 balloons, 3/4 are blue or green, how many of the balloons are blue or green?
Answers
Answer:
3 my answer
Step-by-step explanation:
24 divide 8-3
Point M is located at (7,1).
What is located 5 units from point M?
Choose 1 answer:
(Choice A)
Point A
(Choice B)
Point B
(Choice C)
Point C
(Choice D)
Origin
Answers
I think it is possibly point b
#3Elizabeth takes her younger siblings to the fair. She spends a total of
$40. She buys 3 entrance tickets for $8.00 each, and 8 bags of popcorn.
What is the price per bag of popcorn? (type just the whole number below
Answers
Milo has 5 rocks in his rock collection. He finds 40 rocks outside that he wants to put in his collection. If he places the rocks into boxes of 9, how many boxes of rocks will he have in his collection?
Answers
Answer:
puto el que lo lea
Step-by-step explanation:
jajajaja lol no
Answer:
5
Step-by-step explanation:
40+5=45. 45/9=5