In the diagram, AB = 12, DX = 2.5, and BX = 5. Find CD. Show all work.
Answers
See attached image.
For this case what you should see is that you have two similar triangles.
We then have the following relationship:
((AB) / (BX)) = ((CD) / (DX))
We cleared CD:
CD = ((AB) / (BX)) * (DX)
Substituting the values:
CD = ((12) / (5)) * (2.5)
CD = 6
Answer:
CD = 6
Related Questions
Daria walked 1 2/5 miles this morning and 2 3/10 miles this afternoon. How many miles did Daria walk in all?
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1 2/5 + 2 3/10
rewrite into improper fractions
7/5 + 23/10
To add, you must have the same denominator
in this case, multiply the first fraction by 2 to get the denominator to 10
7*2/5*2
14/10
now solve
14/10 + 23/10
37/10
Now you can rewrite this to a mixed number
3 7/10
She walked 3 7/10 miles total of the day.
Hope this helps
A chord divides a circle into two segments true or false?
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solve proportion 12/p = 36/45
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COULD U PLEASE PLEASE HELP ME !!!!!!!!!!!
BRAINLIEST AVAILABLE
Answers
which term describes the red curve of the figure below?
Answers
Hyperbola is where there are two curves (one up, one down)
Answer:
A) Hyperbola.
Step-by-step explanation:
Given : Figure .
To find : Which term describes the red curve of the figure below.
Solution : We can see from the given figure two red curve up and down .
Hyperbola : A hyperbola is two curves that are like infinite bows.
Therefore, A) Hyperbola.
The price of a share of stock started theday at $37. During the day it went down $3, up $1, down $7, and up $4.What was the price of a share at the end of the day?
Answers
(because 10-5=5)
so the answer is $32
Carson’s estimate for the cost of tiling his bathroom floor is $25 plus $5 per square foot. He says that he can model the cost with a linear function. Is Carson correct? Why or why not?
Answers
Let's write the variables first.
Let:
x = number of square feet of the bathroom floor.
y = total cost in $.
The function that best suits the problem is:
y = 5x + 25
Answer:
Carson is correct.
y = 5x + 25
2/5 of the children in a club are girls,if there are 24 boys,how many children are there altogether?how many more boys than girls are there
Answers
3/5 = 24
1/5 = 24 ÷ 3 = 8
2/5 = 8 x 2 = 16
Altogether = 16 + 24 = 40
24 - 1 6 = 8
There are 40 children altogether
There are 8 more boys than girls.
2/5 = 16/40
24 = 3/5
24 - 16 = 8
Therefore, There Are 8 More Boys Than Girls.
what is the domain of the function y=3sqrt(x)
Answers
x≥0
Because every number in the domain must yield real number outputs, set what is in the radical greater than or equal to 0.
The domain of the function
[tex]y = 3 \sqrt{x} [/tex]
is
[tex]x \geqslant 0[/tex]
EXPLANATION
The domain of a function refers to all values of x for which y is defined.
Since this is a square root function, we need to keep the expression under the square root sign to be greater than or equal to zero.
As soon as the expression under the root sign is less than zero, the function will not be defined.
This means that the square root of a negative number will not be a real number.
Thus the domain is
[tex]x \geqslant 0[/tex]
or
[tex][0, \infty )[/tex]
There is an old riddle about a frog at the bottom of a 20-foot well. if he climbs up 3 feet each day and slips back 2 feet each night, how many days will it take him to reach the 20-foot mark and climb out of the well?
Answers
f (x) = mx + b
We have:
20-foot well:
f (x) = mx + 20
if he climbs up 3 feet each day and slips back 2 feet each night:
f (x) = - 3x + 2x + 20
f (x) = - x + 20
When it reaches 20 feet we have f (x) = 0:
f (x) = - x + 20
0 = -x + 20
x = 20 days.
Answer:
It will take him 20 days to reach the 20-foot mark and climb out of the well
What is the sum of the geometric series:
3
∑5(-2/3)^i
i=0
Answers
[tex]\sum_{i=0}^35\left(\dfrac{-2}{3}\right)^i=5\dfrac{1-\left(\dfrac{-2}{3}\right)^4}{1-\left(\dfrac{-2}{3}\right)}\\=5\dfrac{\left(\dfrac{3^4-2^4}{3^4}\right)}{\left(\dfrac{5}{3}\right)}\\=3\left(\dfrac{65}{81}\right)=\dfrac{65}{27}[/tex]
helppppppppppppppppppppp
Answers
1) Trigonometric functions.
2) rewrite the expression
3) Cancel similar terms.
Note: See attached image.
Answer:
Cot(x)
option 2
Can someone please explain this to me? I keep getting -infinity as the answer.
Answers
Therefore, the answer is the last option: Does not exist.
Sara has 20 sweets.
12 liquorice, 5 mint, 3 humbug.
Sara is going to take at random two sweets.
work out the probability that the two sweets will not be the same type. Give your answer as a fraction
Answers
Answer:
111/190
Step-by-step explanation:i know you dont want to see explanation so yeah...
Probabilities are used to determine the chances of an event.
The probability that the two selected sweet will not be of the same type is [tex]\frac{111}{190}[/tex]
The given parameters are:
[tex]n = 20[/tex] --- number of sweet
[tex]L = 12[/tex]
[tex]M = 5[/tex]
[tex]H = 3[/tex]
First, we calculate the probability that the two selected sweet will be of the same type.
This is calculated as:
[tex]P(Same) =P(L\ and\ L) + P(M\ and\ M) + P(H\ and\ H)[/tex]
Because the selection is without replacement, the equation becomes
[tex]P(Same) = \frac{12 \times 11}{20 \times 19} +\frac{5 \times 4}{20 \times 19} + \frac{3 \times 2}{20 \times 19}[/tex]
[tex]P(Same) = \frac{132}{380} +\frac{20}{380} + \frac{6}{380}[/tex]
Add fractions
[tex]P(Same) = \frac{132+20+6}{380}[/tex]
[tex]P(Same) = \frac{158}{380}[/tex]
Using the complement rule, the probability that the two selected sweet will not be of the same type is:
[tex]P(Not\ same) = 1 - P(Same)[/tex]
This gives
[tex]P(Not\ same) = 1 - \frac{158}{380}[/tex]
Take LCM
[tex]P(Not\ same) = \frac{380 - 158}{380}[/tex]
[tex]P(Not\ same) = \frac{222}{380}[/tex]
Simplify
[tex]P(Not\ same) = \frac{111}{190}[/tex]
Hence, the required probability is: [tex]\frac{111}{190}[/tex]
Read more about probabilities at:
https://brainly.com/question/11234923
Select the correct product.
(2x + 9)(x + 1)
2x2 + 11x + 9
3x2 + 11x + 9
2x2 - 7x + 9
2x2 + 11x + 10
Answers
2x * x + 2x * 1 + 9 * x + 9 * 1
= 2x^2 + 2x + 9x + 9
= 2x^2 + 11x + 9
Hope this helped!
Which term can be combined in the expression below? check all that apply. 5/6a - 2b - 16.3 + b/12 + c - 0.9b
Answers
Answer:
Option 2nd , 4th and 6th correct
[tex]-2b[/tex], [tex]\frac{b}{12}[/tex] and [tex]-0.9b[/tex]
Step-by-step explanation:
Like terms are those terms which have same variable to the same power.
Given the expression:
[tex]\frac{5}{6}a-2b-16.3+\frac{b}{12}+c-0.9b[/tex]
Combine like terms;
[tex]\frac{5}{6}a+b(-2+\frac{1}{12}-0.9}-16.3+c[/tex]
Simplify:
[tex]\frac{5}{6}a-2.81666667b-16.3+c[/tex]
Therefore, the term can be combined in the given expression is,
[tex]-2b[/tex], [tex]\frac{b}{12}[/tex] and [tex]-0.9b[/tex]
Choose the right answer. If the distance on a map from point R to point T measures 3.0 inches and the scale is 1 inch = 0.5 miles, what is the distance in miles from point R to point T? ______ miles
A. 6.0
B. 3.0
C. 1.5
Answers
Answer: The distance from point R to point T is 1.5 miles.
Step-by-step explanation:
In the map, the scale is,
1 inches = 0.5 miles,
3 inches = 3 × 0.5 = 1.5 miles,
Thus, in the map 3 inches shows 1.5 miles,
Since, in the map, the distance from point R to point P = 3 inches,
Thus, the actual distance from point R to point P = 1.5 miles.
⇒ Option C is correct.
A quarter circle is attached to the side of a square as shown.
What is the best approximation for the area of this figure?
Use 3.14 to approximate pi.
28.6 m²
41.1 m²
66.24 m²
116.5 m²
Answers
= 4×4 = 16 m²
The area of a quarter circle is (πr²)/4
= 3.14 × 16/4
= 3.14 ×4
= 12.56 m²
Therefore, the total area is;
= 16 +12.56
= 28.56 m²
≈ 28.6 m²
The area of the square is YxY
= 4×4 = 16 m²
The area of a quarter circle is (πr²)/4
= 3.14 × 16/4
= 3.14 ×4
= 12.56 m²
That means, the total area is:
= 28.56 m²
Or it will be about:
≈ 28.6 m²
Hope it helped!
-Gabrielle
Which equation is equivalent to
Answers
Which expression is equivalent to (b^n)^m
Answers
When the exponents are set up like that you multiply them.
Answer:
C. [tex]b^{n\cdot m}[/tex]
Step-by-step explanation:
We have been given an expression [tex](b^n)^m[/tex]. We are asked to find the equivalent expression to our given expression.
Using exponent property [tex](a^b)^c=a^{b\cdot c}[/tex], we can write our given expression as:
[tex](b^n)^m=b^{n\cdot m}[/tex]
Therefore, option C is the correct choice.
HELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELP
Answers
If two polygons are similar then the corresponding sides are equal and the corresponding angles are proportional. True or False?
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If the question is phrased like that however, your answer would be false because the sides are not equal, they are proportional. The angles are not proportional, they should be congruent or equal.
A regular pyramid has a _____ base and a vertex over the center of the base.
Answers
Regular Polygon~~~~ APEX
The angle of depression from the top of a flag stick to a golf ball on the ground is 24 degrees. If the flagstick is 6 feet tall, how far away is the golf ball from the base of the flag stick?
A. 13.5 ft
B. 12.3 ft
C. 9.8 ft
D. 14.6 ft
E. 15.1 ft
Answers
make sure your calculator is in Degree mode.
Answer:
The Golf ball from the base of the flag stick is 13.5 ft
A is correct.
Step-by-step explanation:
Please see the attachment for figure.
Let AB is height of flag stick. AB=6 ft
BC is distance of golf ball from base of the flag stick.
In ΔABC, ∠B=90°
[tex]\dfrac{AB}{BC}=\tan 24^\circ[/tex]
[tex]\dfrac{6}{BC}=0.4452[/tex]
[tex]BC=13.5[/tex] ft
Hence, The Golf ball from the base of the flag stick is 13.5 ft
ALGEBRAIC PROOF PLEASE HELP IT IS MY LAST QUESTION I AM STUMPED
Use the following problem to answer the question below:
Given: 3(x – 4) = 33
Prove: x = 15
3(x – 4) = 33 Given
3x – 12 = 33 A
3x – 12 + 12 = 33 + 12 B
3x + 0 = 45 C
3x = 45 D
x = 15 Division Property of Equality
What is the reason for D?
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what is the classification for this polynomial?
4
Choices:
A. Monomial
B. Binomial
C. Trinomial
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a polynomial can be name by how many terms in it, POLYnomial, POLY=many, now, this is just one, MONO=one, MONOmial.
How many possible outcomes would there be if three coins were each tossed once?
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what is the solution to the proportion 3/m=12/15
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a fair cube is used in a game . the face of the cube are labeled 1 through 6 . what is the probability of a player rolling a number grater than 4 ?
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The percent of the discount in the problem above is 15%. What percent of the original bill is Chumani's bill? How could you solve the problem using this percent?
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That’s all I know about this problem but was there something else? Like the actual total of Chumani’s bill?
Chumani's bill represents 85% of the original bill after a 15% discount is applied. The discounted amount can be found by multiplying the original bill by 0.85.
If the discount on an item is 15%, and Chumani is paying after this discount has been applied, we want to find out what percent of the original bill Chumani's bill is. To do this, we subtract the discount rate from 100%. So, 100% - 15% = 85%. Thus, Chumani's bill is 85% of the original bill.
To calculate the discounted bill, you multiply the original bill amount by 0.85 (which represents 85%). If the original bill was, for example, $100, the calculation would be $100 x 0.85 = $85. So, Chumani would pay $85, which is 85% of the original bill amount.