Answer:30
Step-by-step explanation:
Find the length of UT.
с
12
T
14
W
2x+2U
2x + 5
A. 32
OB. 43
C. 21
OD. 39
Answer: A. 32
Concept:
Here, we need to know the idea of the intersecting chord theorem and segment addition postulate.
The intersecting chord theorem states that when two chords intersect at a point, P, the product of their respective partial segments is equal.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
Given information
CW = 12
TW = 14
VW = 2x + 5
UW = 2x + 2
Given expression deducted from intersecting chord theorem
CW · VW = TW · UW
Substitute values into the expression
(12) · (2x + 5) = (14) · (2x + 2)
Expand parentheses and apply the distributive property
24x + 60 = 28x + 28
Subtract 14x on both sides
24x + 60 - 24x = 28x + 28 - 24x
60 = 4x + 28
Subtract 28 on both sides
60 - 28 = 4x + 28 - 28
32 = 4x
Divide 4 on both sides
32 / 4 = 4x / 4
x = 8
Given expression deducted from the segment addition postulate
UT = UW + TW
Substitute values into the expression
UT = 2x + 2 + 14
Substitute x value into the expression
UT = 2 (8) + 2 + 14
UT = 16 + 2 + 14
Combine like terms
UT = 32
Hope this helps!! :)
Please let me know if you have any questions
In how many ways can we pick three different numbers out of the group:
1, 2, 3, ..., 100
such that the largest number is larger than the product of the two smaller ones? (The order in which we pick the numbers does not matter.)
Answer:
i don't know 56,78,95
Step-by-step explanation:
the bill for dinner came to $75.48. The four Freinds decided to leave a $15.00 tip. If thwy share the bill equally, how much will each friend pay?
Is the relation given by the set of ordered pairs below a function? (Yes or No)
(0,2),(8,-2),(-4,6)(-3,2)(4,-3)
solve for X
[tex]4({x}^{2} - 250) \leqslant 65x[/tex]
Answer:
54489jf is a great resource for the following in exponential form and the following in exponential form is a great place to work for
100th term of 1, 4, 16
Answer: 64
Step-by-step explanation:
Find the expression for f(x) that makes the following equation true for all values of x.
(81^x)/9^5x-8=9^f(x)
Answer:
Step-by-step explanation:
As it is bad written, i suppose it is
[tex]\dfrac{81^x}{9^{5x-8}} =9^{f(x)}\\\\9^{2x-(5x-8)}=9^{f(x)}\\\\2x-5x+8=f(x)\\\\\\\boxed{f(x)= -3x+8}\\[/tex]
Fraction:
Decimal:
Word Form:
Answer:
Fraction:
Decimal:
Word Form:
Step-by-step explanation:
Howard pays $327 for one dozen collector’s edition baseball cards. About how much does he pay for each baseball card?
Answer:
Howard spent $27.25 for each baseball card.
Step-by-step explanation:
1 dozen = 12
Set up an equation:
327 ÷ 12
27.25
Answer:
27.25
Step-by-step explanation:
Help!!!!will have brainley I need help pls!
Option A " how the temperature of a cup of coffee changes as time passes ".
Hope it helps you.
The job paid $25 for every 2 hours of work. Write an equation that represents how much the jobs pays, y, for x hours of work.
Answer:
$12,5xy
Step-by-step explanation:
y = how much the jobs pays
x = hours of work
[tex]25 \div 2[/tex]
[tex] = 12.5xy[/tex]
Twenty-four less than ten times a number is a negative one hundred sixteen . Find the number
Answer:
The answer is -9.2
Step-by-step explanation: You write 10x -24 = -116 and solve for x. Solving for x means to isolate the x.
1st step is to get rid of -24 by +24 on both sides of the equation:
10x- 24 = -116
+24 +24
Now equation is 10x = -92
2nd step is get rid of 10 by dividing the 10 on both sides of equation:
10x = -92
10 10
Leaving you with final solution of x= -9.2
Find the volume.
34 cm
12 cm
63 cm
Answer:
25704
Step-by-step explanation:
L×w×h length times width times height
The length of a rectangle of area 45 sq cm is 9 cm. What is its breadth ?
Answer:
breadth = 5 cm
Step-by-step explanation:
Area of a rectangle = length × breadth
breadth = Area of a rectangle / length
breadth = 45 cm²/ 9cm
breadth = 5 cm
The double number line shows the approximate number of ounces in a certain number of pounds:
Based on the number line, about how many ounces are there in 6 pounds?
24 ounces
80 ounces
96 ounces
112 ounces
Answer:
the answer is 96 ounces i think
Akilometer is approximately 1094 yards . Toby runs a 6 km race. About how many yards does he run?
What number is two less then nine hundred and one
Answer:
eight hundred and ninety nine
Answer:
eight hundred and ninety nine
Step-by-step explanation:
The diameter of a quarter is 0.955 inches. If you laid 1,000,000 quarters side to
side, how far would that be?
The Angles Below Form a Linear Pair what is the measurement of angle DBC
Answer:
<DBC = 45
Step-by-step explanation:
The two angles add to 180
<ABC + <DBC = 180
135+ <DBC = 180
< DBC = 180-135
<DBC = 45
Which fraction is equivalent to -7/8
1. 8/-7
2. -7/-8
3. 8/7
4. 7/-8
Answer:
Your answer is answer no 4 = 7/-8
Answer:
4.
Step-by-step explanation:
7/-8
-7/8 is between -1 and 0.
So, we can eliminate 1 and 3.
We can also get rid of 2 because -7/-8 = 7/8, which is positive.
We are left with 4.
Fill in the blank to make the number divisible by 3: 6178_9
Answer:
2, 5, or 8
Step-by-step explanation:
ccalculator go brr
Answer:
617829/3=205,943
617859/3=205,953
617889/3=205,963
Step-by-step explanation:
617819/3=205,939.666
617829/3=205,943
617839/3=205,946.333
617849/3=205,949.666
617859/3=205,953
617869/3=205,956.333
617879/3=205,959.666
617889/3=205,963
617899/3=205,966.333
please help A data set has its first and third quartiles as 9 and 17, respectively.
Which of the following data points would be considered an outlier for the data set?
27
17
3
41
Answer: 27
Step-by-step explanation: hihihihihiiiiihihi
27 is considered an outlier for the data set.
What is quartiles?In statistics, a quartile exists as a variety of quantiles which divides the number of data points into four parts, or quarters, of more or less equal size. The data must be ordered from smallest to largest to calculate quartiles; as such, quartiles exist a form of order statistic.
A quartile separates data into three points—a lower quartile, median, and upper quartile—to form four sets of the dataset.
Hence, 27 is considered an outlier for the data set.
To learn more about quartiles refer to:
https://brainly.com/question/9260741
#SPJ2
PLEASEEE HELP ASAP!!!
A 90% confidence interval for a proportion is found to be (0.52, 0.58) . What is the sample proportion?
Answer:
Its 0.55
Step-by-step explanation:
I just took the test
Danny got a raise and now makes $58,965.95 a year. Round this number to the nearest:
a) dollar
b) thousand dollars
c) ten thousand dollars
If 5 is equal to 11
And 7 is equal to 15
And 9 is equal to 19
What is 12 equal to ?????
Answer:
25 is the answer because the numbers are in the relation of (×2+1). 5×2+1=11 7×2+1=15 9×2+1=19 12×2+1=25.
Which group of number shows the values of the 4s in 44,492?
Answer:
The values of the 4s in 244 is, 4 and 40
Explanation:
A place value is used to understand the value of each digit based on the place or position.
Given number is 244.
Since, there are 2 fours in 244 ;
The last digit i.e, 4 on the right is in the ones' place with value= 4, and
Answer:
The values of the 4s in 244 is, 4 and 40
Explanation:
A place value is used to understand the value of each digit based on the place or position.
Given number is 244.
Since, there are 2 fours in 244 ;
The last digit i.e, 4 on the right is in the ones' place with value= 4, and
Value of a number in the tens' place is ten times the value of the same number in the one's place.
then, the second one at ten's place with value,= 40.
Step-by-step explanation:
The linear function f with values f(-6) = 8 and f(5) = 3 is f(x) =
You can compute the slope given that you have two points [tex](-6,8)[/tex] and [tex](5,3)[/tex].
[tex]m=\frac{3-8}{5-(-6)}=\frac{-5}{11}=-\frac{5}{11}[/tex]
Your function has a form of,
[tex]f(x)=mx+n[/tex]
So we also need to find n. To do that, substitute y and x for some point we already know, I will pick point [tex](5,3)[/tex] then solve for n,
[tex]3=-\frac{5}{11}\cdot5+n[/tex]
[tex]n=3+\frac{5}{11}\cdot5[/tex]
[tex]n=3+\frac{25}{11}[/tex]
[tex]n=\frac{33+25}{11}=\frac{58}{11}[/tex]
So the function is,
[tex]f(x)=-\frac{5}{11}x+\frac{58}{11}[/tex]
Hope this helps :)
Simplify the complex question: 5/8 / 4/5
Answer:
The choose 25/32
Step-by-step explanation:
[tex] \frac{ \frac{5}{8} }{ \frac{4}{5} } = \frac{5}{8} \times \frac{5}{4} = \frac{25}{32} [/tex]
I hope I helped you^_^
Answer:
A. [tex] \frac{25}{32} [/tex] (first option)
Step-by-step explanation:
[tex] \frac{ \frac{5}{8} }{ \frac{4}{5} } = \frac{5}{8} \div \frac{4}{5} [/tex]
[tex] \frac{5}{8} \times \frac{5}{4} = \frac{5 \times 5}{8 \times 4} [/tex]
[tex] = \frac{25}{32} [/tex] ✅
Round 8.32 to the nearest whole number.
Answer:
1_+6''?(oytvbjkufx,hjf7(-&&&
(b) In the figure alongside, AB I BC and a - b= 10° then find the values of a and b.
Same side interiors(vertical) have sum 180°
a+b=180--(2)From both equations
2a=190a=95And
a-b=10b=95-10b=85