Answers
Answer:
x=11
Step-by-step explanation:
Hi there!
We're given that ΔVUW~ΔSUT (they are similar), and the measures of UV, VW, SU, and ST
UV=5x+11
VW=88
SU=18
ST=24
We need to solve for x
When polygons are congruent, we can create proportional ratios out of their sides; this proportion is known as the ratio of similitude
Since ΔSUT is tilted, it might be kind of difficult to find the corresponding sides to get the ratio of similitude
Instead, we can use the name of the triangles to help us find the corresponding similar parts
ΔVUW and ΔSUT
V corresponds with S
U corresponds with U
that means that UV/SU will give us the ratio of similitude
Which will be [tex]\frac{5x+11}{18}[/tex]
But we need to find x; we'll need to create another proportion to help us
We have VW and ST, but we need to create the correct proportion first
once again, use the names of the triangles
ΔVUW and ΔSUT
So VW/ST will also get us the ratio of similitude
which is also [tex]\frac{88}{24}[/tex], or [tex]\frac{11}{3}[/tex]
Since both [tex]\frac{5x+11}{18}[/tex] and [tex]\frac{11}{3}[/tex] equal the ratio of similitude, we can set them equal to each other
[tex]\frac{5x+11}{18}[/tex]=[tex]\frac{11}{3}[/tex]
Cross multiply:
3(5x+11)=18(11)
do the distributive property
15x+33=198
subtract 33 from both sides
15x=165
divide both sides by 15
x=11
Hope this helps! :)
Related Questions
If he eats half of the total, how much did he eat?
Answers
What’s the volume?
someone please help
Answers
Answer:
17734.55 inches cubed. If you found this helpful, love the answer! Thank you :D
Step-by-step explanation:
Very simple. We find the area of the circle, A=Pi Radius Square.
So 3.14 (15x15)
A≈706.86
The bottom shape is 706.86x24=16964.64
The top is a cone, meaning its V≈3769.91
So 3769.91+16964.64=17734.55
You may want to double check later with other peoples answer!
A. -11/3
B. -7/3
C. 7/3
D. 11/3
Answers
Answer:
[tex]\displaystyle a = \frac{-11}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex] Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle 9 = (\frac{1}{27})^{a + 3}[/tex]
Step 2: Solve for a
Rewrite: [tex]\displaystyle 3^2 = (\frac{1}{27})^{a + 3}[/tex]Rewrite: [tex]\displaystyle 3^2 = (\frac{1}{3^3})^{a + 3}[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 3^2 = (3^{-3})^{a + 3}[/tex]Exponential Rule [Powering]: [tex]\displaystyle 3^2 = 3^{-3(a + 3)}[/tex]Set up: [tex]\displaystyle 2 = -3(a + 3)[/tex][Division Property of Equality] Divide -3 on both sides: [tex]\displaystyle \frac{-2}{3} = a + 3[/tex][Subtraction Property of Equality] Subtract 3 on both sides: [tex]\displaystyle \frac{-11}{3} = a[/tex]Rewrite: [tex]\displaystyle a = \frac{-11}{3}[/tex]TRICK QUESTION BE CAREFUL
Answers
Answer:
Just a guess, 65?
Step-by-step explanation:
This looks fun. I shall try it.
63-17 = 46
46 + 19 = 65.
Solve each equation for 0 ≤ θ 2π -2√2=-4sin 2θ
Answers
Answer:
Step-by-step explanation:
Begin by dividing both sides by -4 to get:
[tex]\frac{\sqrt{2} }{2}=sin2\theta[/tex] and then take the inverse sin of both sides to get
[tex]sin^{-1}(\frac{\sqrt{2} }{2})=2\theta[/tex] (the inverse sin undoes the sin on the right). Now we need to look on our unit circle to find the angles where [tex]sin(\frac{\sqrt{2} }{2})[/tex] is positive. There are 2 places. Sin is positive in both QI and QII. The angles are
[tex]\frac{\pi}{4},\frac{3\pi}{4}[/tex]. Therefore, our 2 equations are
[tex]\frac{\pi}{4}=2\theta[/tex] and [tex]\frac{3\pi}{4}=2\theta[/tex]. Solving the first equation:
[tex]\theta=\frac{\pi}{8}[/tex]
and the second equation:
[tex]\theta=\frac{3\pi}{8}[/tex]
what is the answer to this
Answers
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a mean life of 518 minutes. If the claim is true, in a sample of 81 batteries, what is the probability that the mean battery life would be greater than 526.4 minutes
Answers
Answer:
0.0808 = 8.08% probability that the mean battery life would be greater than 526.4 minutes
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The design engineer claims they have a variance of 2916 with a mean life of 518 minutes.
This means that [tex]\sigma = \sqrt{2916} = 54, \mu = 518[/tex]
Sample of 81 batteries
This means that [tex]n = 81, s = \frac{54}{\sqrt{81}} = 6[/tex]
What is the probability that the mean battery life would be greater than 526.4 minutes?
1 subtracted by the p-value of Z when X = 526.4. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{526.4 - 518}{6}[/tex]
[tex]Z = 1.4[/tex]
[tex]Z = 1.4[/tex] has a p-value of 0.9192
1 - 0.9192 = 0.0808
0.0808 = 8.08% probability that the mean battery life would be greater than 526.4 minutes
solve
3x+3y=18
2x-2y=4
Answers
A publishing house is selling subscriptions to magazines for 10% off the original price.
If a subscription to Time Magazine usually costs $50, how much will it cost on sale?
A) $5
B) $45
C) $42
D) $55.56
Answers
Answer:
B. 45
Step-by-step explanation:
50x.10=5 discount
50-5=45
how do you solve the formula for an unknown variable in terms of the known variables? For context, the question deals with principal investments.
Answers
Help please i need this in less that 3 minutes. i just need the formula or what to do
Answers
Hello friend how are you♥♥♥♥♥♥
Answer:
b
1058.4 hope helpful answer
A cube has edges that measures 13 cm each find volume for a cube
Answers
Answer:
2197 cm^3
Step-by-step explanation:
V = s^3
V = (13 cm)^3
V = 2197 cm^3
.......what the missing letter!!
Answers
Answer:
Q
Step-by-step explanation:
Letters in the alphabet:
26
1 A
2 B
3 C
4 D
5 E
6 F
7 G
8 H
9 I
10 J
11 K
12 L
13 M
14 N
15 O
16 P
17 Q
18 R
19 S
20 T
21 U
22 V
23 W
24 X
25 Y
26 Z
PLEASEEEEEE I NEEED HELLPPPPP IM BEGGGINGGGG SOMONE PLEASEEEEE HELPPPPPPPPPPPP
Answers
Answer:
2nd option:
8x+2y=32
x+y=7
Step-by-step explanation:
Answer:
It is in fact the second one.
Step-by-step explanation:
It says that he bought a total of 7 tickets and it cost $32.
x represents the number of adult tickets and y represents the number of chid tickets.
So:
x + y = 7 because the adding the number of adult and child tickets should equal the total number bought.
and
8x + 2y = 32 because each adult ticket was 8 dollars and each child was 2 and the total should add up to 32
1. Which of the following is a nonlinear function?
A. The items at a clothing store are sold at a discount of 20% off the original price.
B. The number of dogs in a town increases by 20 per neighborhood per year.
C. A soccer manufacturing company spends $5 on each soccer ball.
OD. The number of students enrolling at a high school increases each year by a factor of 1.25.
Answers
Explanation: its an exponential
ALMN is a right triangle.
Answers
Answer:
this is true since a right triangle has one side that is 90 degrees
Hope This Helps!!!
What are the domain and range of the function f(x)= -log(5- x)+9?
Domain; x<5
range: 29
domain: x <5
range: (-0.co) domain: x29
range: (-0.CO)
domain: x29
range: 29
Answers
Answer:
Domain: X<5
Range: f(x)∈ R
Step-by-step explanation:
peter lost 8 marbles in a game. this number was one fifth of the number that he started with. how many marbles he have at the beginning
Answers
Answer:
40
Step-by-step explanation:
8 is one fifth of x8 multiplied by 5 40A chessboard has 64 squares on it. If each square is 1 inch by 1 inch, what is the area of the entire
chessboard covered by the squares?
Answers
Answer:
64 inches squared
Step-by-step explanation:
Solve for x.
5(x - 10) = 30 – 15x
O x= 1
O x = 4
O x = 5
O x = 8
Answers
Answer:
X=4
Step-by-step explanation:
Distribute
5(x−10)=30−15x
5 − 5 0 = 3 0 − 1 5
Rearrange terms
5x−50=30−15x
5 − 5 0 = − 1 5 + 3 0
Add 5 0 to both sides of the equation
5x-50+50=-15x+30+50
Add 1 5 to both sides of the equation
5 + 1 5 = − 1 5 + 8 0 + 1 5 \
2 0 /2 0 = 8 0/ 2 0
= 4
Option B is correct, the value of x in the equation 5(x - 10) = 30 – 15x is 4,
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 5(x - 10) = 30 – 15x
Five times of x minus ten equal to thirty minus fifteen times of x.
x is the variable in the equation
Apply distributive property on left hand side
5x-50=30-15x
Take the variables on one side and constants on other side
5x+15x=30+50
Combine the like terms
20x=80
Divide both sides by 20
x=4
Hence, the value of x in the equation 5(x - 10) = 30 – 15x is 4, option B is correct.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ7
Triangle A
Triangle B
Triangles A and B are
O A. only similar
O B. only congruent
O C. both similar and congruent
D. none of the above
Answers
hope this helps
Given the linear equation 3y + 4x = 12, find the y-intercept.
Answers
Answer:
(0,4)
Step-by-step explanation:
3y + 4x = 12
To find the y intercept, set x =0 and solve for y
3y = 4*0 =12
3y = 12
Divide by 3
3y/3 = 12/3
y =4
Answer:
4
Step-by-step explanation:
3y + 4x = 12
3y = -4x + 12
y = -[tex]\frac{4}{3}[/tex]x + 4
Points Pand Q are at the following locations on a number line.
Pis at -8.
Q is at -3.
Which number is on Pq but not on QP?
Answers
8 is in the left side of the number line
3 is in the right side of the number line
Find the measure of arc CD, which is the value of y.
48°
59°
73°
146°
Answers
Answer:
D
Step-by-step explanation:
Sum of Inner angles of a triangle = 180
59 + 48 + a = 180
107 + a = 180
a = 73
y = 73 * 2 = 146 degrees
]A friend lends you $200 for a week, which you agree to repay with 5% one-time interest. How much will you have to repay (including the principal)?
Answers
Answer:
$210
Step-by-step explanation:
$200 is your base payment
5% of $200 = $10
$200 + $10 = $210
Answer:
$210
Step-by-step explanation:
$200 is your base payment
5% of $200 = $10
$200 + $10 = $210
1. The exterior angles of a triangle are 3yº, 4yº
and 5y. Find y. What are the interior angles of
the triangle?
Answers
Answer:
Step-by-step explanation:
3y+4y+5y=180 degree(sum of exterior angles of a triangle is 360 degree)
12y=360
y=360/12
y=30 degree
A quadrilateral has one pair of parallel sides with lengths 1 3/4 inches and 1 1/4 inches, and two angles that
each measure 36º. What shape is it?
Answers
Answer:
trapezoid
it's automatically a trapezoid if it only has one pair of parallel sides that are different lengths and has two acute angels
A square garden plot has an area of 75 ft. a. Find the length of each side in simplest radical form. b. Calculate the length of each side to the nearest
tenth of a foot.
Answers
9514 1404 393
Answer:
a. 5√3 ft
b. 8.7 ft
Step-by-step explanation:
The area is the square of the side length, so the side length is the square root of the area:
s = √A
s = √(75 ft²) = √(25·3 ft²) = √(3·(5 ft)²)
s = 5√3 ft ≈ 8.7 ft . . . . . . side length of garden
Which pair of figures has the same number of faces as vertices?
triangular prism and triangular pyramid
triangular prism and rectangular prism
rectangular pyramid and triangular pyramid
rectangular pyramid and rectangular prism
Answers
Answer:
Rectangular pyramid and triangular pyramid
Step-by-step explanation:
A rectangular pyramid and triangular pyramid has the same number of faces as vertices
What is a Pyramid?A pyramid is a three dimensional shape (has length, width and height) with a polygonal base and flat triangular faces.
A rectangular pyramid have same number of faces as vertices with each being 5 in number. A triangular pyramid have same number of faces as vertices with each being 3 in number.
Find out more on Pyramid at: https://brainly.com/question/25823102
helpppppppp........,,,,,,,,,,,,
Answers
Answer:
B
Step-by-step explanation:
When a number is in front of the parethese, it is multiplying all the terms inside of it.
Looking at the first answer, the 2 multiplies 2/5x and 2, getting 4/5x + 4. This is not equivllent to 2 2/5x +1.
In the next one 2 is multiplying the same values, and results in 4/5x + 4. This is indeed equivelent to 4/5x + 4.
So this is your answer.
Hope this helps!