What is the value of h in the figure below? In this diagram, ABAD ~ ACBD.
B
h
A
C
D 4
20
Answers
Answer:
is it A and C ):
Step-by-step explanation:
The value of h is 8 units.
What are similar triangles?"Two triangles are similar when their corresponding sides are in proportion and all corresponding angles are equal."
For given question,
ΔBAD and ΔCBD are similar triangle.
So, their sides are in proportion.
[tex]\Rightarrow \frac{BA}{CB}= \frac{AD}{BD}= \frac{BD}{CD}[/tex] ..................(i)
For given figure,
BD = h, CD = 4 units
Now, we find the length of the side AD.
⇒ AD = AC - CD
⇒ AD = 20 - 4
⇒ AD = 16 units
From (i),
[tex]\Rightarrow \frac{AD}{BD}= \frac{BD}{CD} \\\\\Rightarrow \frac{16}{h} =\frac{h}{4}\\\\ \Rightarrow 16\times 4=h\times h\\\\\Rightarrow h^2=64\\\\\Rightarrow h=8[/tex]
Therefore, the value of h is 8 units.
Learn more about similar triangles here:
https://brainly.com/question/25882965
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Related Questions
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Step-by-step explanation:
There are 216 blueberries in 6 baskets. What is the unit rate of blueberries per basket?
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Answer:
it might be 36
Step-by-step explanation:
you're going to want to say 216/6 so it will definitely be an integer of some positive value
Help please I need help .Solve 0.1x=3 for x
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Choose the correcr definition of (n k) from below
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Which of the following uses the distributive property in generating equivalent expressions?
F) 3 + 2x + 5x = 3 + x(2 + 5) = 3 + x(7) = 3 + 7x
G) 3+ (2 + x) = (3 + 2) + x = 5 + x
H) 4 x 14+ 5+ 3x = (1 + 5) + 3x = 6 + 3x
J) 5+ (6 + -6) + 2x = 5 + 0 = 2x = (5 + 1) + 2x = 5 + 2x
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Answer:
F
Step-by-step explanation:
A store can buy 3 pairs of shorts for $10 . How much would the store pay for a dozen
Answers
Answer:
$40
Step-by-step explanation:
12 ÷ 3 = 4
4 × 10 = 40
So, the answer is $40.
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Answer:
C
Step-by-step explanation:
Because they both are the same
-1/3 + 5e = -3/4
Pls show your work
Answers
Answer:
it has. no solution
Since 5e- 1/3 = 3/4 is false, there is no solution.
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Answers
Answer:
?
Step-by-step explanation:
The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their sum?
Answers
Separate the vectors into their x- and y-components. Let u be the vector on the right and v the vector on the left, so that
u = 4 cos(45°) x + 4 sin(45°) y
v = 2 cos(135°) x + 2 sin(135°) y
where x and y denote the unit vectors in the x and y directions.
Then the sum is
u + v = (4 cos(45°) + 2 cos(135°)) x + (4 sin(45°) + 2 sin(135°)) y
and its magnitude is
||u + v|| = √((4 cos(45°) + 2 cos(135°))² + (4 sin(45°) + 2 sin(135°))²)
… = √(16 cos²(45°) + 16 cos(45°) cos(135°) + 4 cos²(135°) + 16 sin²(45°) + 16 sin(45°) sin(135°) + 4 sin²(135°))
… = √(16 (cos²(45°) + sin²(45°)) + 16 (cos(45°) cos(135°) + sin(45°) sin(135°)) + 4 (cos²(135°) + sin²(135°)))
… = √(16 + 16 cos(135° - 45°) + 4)
… = √(20 + 16 cos(90°))
… = √20 = 2√5
Answer: 2√5
Step-by-step explanation:
Use the Sine Law of triangles: In triangle with sides of length 1,2,3 that are opposite to angles 1,2,3 we have
1/sin1=2/sin2=3/sin3.
Pensacola, Florida , gets an average of 64.28inches of precipitation per year. Key West , Florida, gets an average of 38.94 inches per year. About how many more inches of precipitation does Pensacola get than key west ?
Answers
Answer: 25.34 inches of precipitation
Step-by-step explanation: you have to subtract the precipitation from pensacola by the precipitation from Key West. so when you subtract the 2 you get 25.34 inches
Dylan opens a credit card account with $550.00 of available credit .Now that he has made some purchases Dylan’s account only has 445.00 of available credit.What is the percentage decrease of the amount of available credit in Dylan’s account
A.23%
B.81%
C.19%
D.14%
Answers
Answer:
I'm pretty sure it's C
Step-by-step explanation:
the calculations I did, C was the closest
Describe a ratio relationship based on your spinning in which is 1:4?
Answers
Answer:
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak."
"For every vote candidate A received, candidate C received nearly three votes."
Please help this is very hard for me
Answers
Answer:
Step-by-step explanation:
I really don't know sorry I thought I knew it
Hey who can solve this
Answers
Answer:
Leading Coefficient = -8
The degree of f(x) is 4
Step-by-step explanation:
The leading coefficient is always the first number in the equation which is -8 and the highest degree here is 4 as the leading term.
Hannah has a small circular table. The radius of the tabletop is 23 centimeters (
What is the area of the tabletop, rounded to the nearest square centimeter? Use 3.14 for π.
Answers
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Please help me I’m so close to passing
Answers
Answer:
314 meters
Step-by-step explanation:
The circumference of any circle is pi (3.14). To find your answer, Multiply 3.14 with 100 (as in meters) to get 314. Your answer is 314 meters.
Which parts must be congruent to prove APQR = APSR by SAS?
Answers
Answer:
<A must be congruent to <A, <P must be congruent to <P, <Q must be congruent to <S, and <R must be congruent to <R
Step-by-step explanation:
10, 4. -2, -8 in an explicit formula
Answers
Answer:
16 - 6n
Step-by-step explanation:
10 , 4 , -2 , - 8 .....
This is arithmetic sequence
first term = 10
Common difference = 2nd term - first term
d = 4 - 10
d = -6
nth term = a₁ + (n -1)d
= 10 + (n - 1)*(-6)
= 10 + n*(-6) - 1*(-6)
= 10 - 6n + 6
= 10 + 6 - 6n
= 16 - 6n
Example 24 In a school there are 20 teachers who teach mathematics or physil
these, 12 teach mathematics and 4 teach both physics and mathematics. How Ex
teach physics ?
Answers
Answer:
The number of teachers who teach physics n(P) = 12
Step-by-step explanation:
Step(i):-
Given that the number of teachers who teach mathematics or physics
n(MUP) = 20
Given that the number of teachers who teach mathematics
n(M) = 12
Given that the number of teachers who teach both mathematics and physics
n(M∩P) = 4
Step(ii):-
By using n(A∪B) = n(A) + n(B) - n(A∩B)
n(M∪P) = n(M) +n(P) - n(M∩P)
20 = 12 + n(P) - 4
20 -12 +4 = n(P)
n(P) = 12
Final answer:-
The number of teachers who teach physics n(P) = 12
Which equations are related equations to 14 + x = 26?
Select each correct answer.
O14- x= 26
Ox=26 - 14
0 14= 26 - x
0 26 + 14 = x
Answers
Answer: x=26-14
Step-by-step explanation :you need to subtract on both sides so that why it is x=26-14.
In Tokyo, construction workers earn an average of ×420,000 (yen) per month with a standard deviation of ×20,000, while in Hamburg, Germany, construction workers earn an average of €3,200 (euros) per month with a standard deviation of €57. A worker making ×460,000 per month in Tokyo is earning relatively the same as one earning €3,300 per month in Hamburg?
Answers
Answer:
Since they have different z-scores, they are not earning relatively the same.
Step-by-step explanation:
We use z-scores to solve this question.
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]
In this question:
They will be earning relatively the same if they have the same z-score.
Tokyo:
Earns 460, mean 420, standard deviation 20. So [tex]X = 460, \mu = 420, \sigma = 20[/tex]. The z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{460 - 420}{20}[/tex]
[tex]Z = 2[/tex]
Hamburg:
Earns 3300, mean 3200, standard deviation 57. So [tex]\mu = 3300, \sigma = 3200, \sigma = 57[/tex].
The z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3300 - 3200}{57}[/tex]
[tex]Z = 1.75[/tex]
Since they have different z-scores, they are not earning relatively the same.
A fair owner made 60 dollars when a group of 10 people entered what is a rate of dollar per person
Answers
Answer:
6
Step-by-step explanation:
60$
10 people
how much does each person bring so 60/10
Answer:
its 6
Step-by-step explanation:
cuz i know stuff
Step
Given
Work
1
2 +1-(6= 1)
2+1 - (12)
2+ (12)
1
2
4
3
2 + 3
4
5
1
Answers
Answer:
25
13442145
1352453
Step-by-step explanation:
HELP! WILL GIVE BRANLIEST!
Answers
Answer: 5 Hope this helped-
Initially, 40% of the students at the school dance are freshmen. Then, 15 more freshmen arrive, after which 52% of the students at the dance are freshmen. How many students are now at the dance after the additional freshmen arrive?
Answers
Answer:
75
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
A broker charges customers a fixed fee of £150 plus 5.50% of the amount of all investments made. If a customer invests £40 000 through the broker, what is the total brokerage payable?
(10 Marks)
Answers
Answer:
Total payable brokerage = £2350
Step-by-step explanation:
Given that:
Fixed fee charged by broker = £150
Percent of fee charged = 5.50%
Amount invested by customer = £40,000
Fee charged = [tex]\frac{5.50}{100}*40000[/tex]
Fee charged = 5.50 * 400 = £2200
Total brokerage payable = £150 + £2200 = £2350
Hence,
Total payable brokerage = £2350
The price paid for a $15 shirt after a 45% discount is applied
Answers
Answer:
ur mom
Step-by-step explanation:
Answer:
$6.75
Step-by-step explanation:
15 times 0.45=6.75
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Answers
Answer:
N = 5
Step-by-step explanation:
Answer:
n=5
Step-by-step explanation:
Algebraic Expression Evaluate the expression 9x + 2 when × = 3
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Answers
Answer:
The value of 9x+2 when x=3 is 29
Step-by-step explanation:
Algebraic Expressions
We are given the expression
9x + 2
And it's required to evaluate the expression when the value of x is 3.
It can be done by substituting x by 3:
9*3 + 2
=27 + 2
=29
The value of 9x+2 when x=3 is 29