In general, they're not similar.
In any triangle with side lengths a, b, and c, we have the aptly-named triangle inequality that says the largest side is no larger than the sum of the smaller sides. In other words, if a and b are both smaller than c, then
a + b ≥ c
Suppose x < 12. Then BC corresponds to either YZ or XY.
• If BC corresponds to YZ, then the triangles are similar if and only if
BC/YZ = AB/XY = AC/XZ
x/2 = 9/3 = 12/4 = 3 ⇒ x = 6
• If BC corresponds to XY, then triangle similarity means
BC/XY = AB/YZ = AC/XZ
x/3 = 9/2 = 12/4
but this fails because 9/2 ≠ 12/4 = 3.
Suppose x > 12. Then BC corresponds to XZ, and
x/4 = 12/3 = 9/2
but this also fails because 12/3 = 4 ≠ 9/2.
(We ignore the case of x = 12 because that would make ∆ABC isosceles, and ∆XYZ certainly is not.)
So ∆ABC and ∆XYZ are similar only if x = 6. Under this condition, similarity would follow from the SSS similarity theorem.
solve 2(x+7) +3 (x+1)
Answer:
5x +17Step-by-step explanation:
Simplify step by step:
2( x+7 ) +3 ( x+1 )
We'll distribute:
= ( 2 ) ( x ) + ( 2 ) ( 7 ) + ( 3 ) ( x ) + ( 3 ) ( 1 )
= 2x + 14 + 3x + 3
We'll Combine Like Terms:
= 2x + 14 + 3x + 3
= ( 2x + 3x ) + ( 14 + 3 )
= 5x + 17 Answer!
Answer:
Step by step Explanation:
2(x+7) +3(x+1)
Open the brackets (multiply outside number by the numbers and letters inside the brackets)
2x + 14 + 3x+ 3
Collect like terms (collect ones that look alike in one side )
2x + 3x + 14 + 3
Add the like terms (add the ones that look alike)
= 5x + 17 (Answer)
I hope you understand it, it's really simple just work step by step.
Good luck ✅.
In Question 1 and Question 2, what is the distance from the center if the circle to a point on the circle? Take this idea a step further: what is the
relationship between the center of any circle and the points that lle on the circle?
Step-by-step explanation:
I don't see question 1 and 2.
but it did be way for you : the distance from the verge of a circle to a point on the circle is always the radius.
that is the whole concept of a circle : it is the line (or curve) of all points that have the same, constant distance r from a single point.
If you walk 6 blocks east, 2 blocks north, 3 blocks west and 4 blocks south, then what is the total distance you travel?
Answer:
6 + 2 + 3 + 4 = 15
so 15 blocks
a block is about 0.05 miles
so 15 blocks in miles is 0.75 miles
Sally has 90 apples and she adds a double of what she subtracts. Now, she has 1/4 of 1000. How much does she add?
Answer:
I think it's 160...
Step-by-step explanation:
1/4 of 1000 is 250
250
- 90
____
160
Which pair of angles are vertical angles? 6 and 5 2 and 3 1 and 3 5 and 8
Answer:
1 and 3
Step-by-step explanation:
1 and 3 are vertical angles
Find the range of the following equation for the domain {-4, 0, 3} f (x) = -2x^2 -3
The range of the function is {-34, -2, -20}
How to determine the range?The function is given as:
f(x) = -2x^2 - 2
The domain is {-4, 0, 3}
Substitute the domain values in the function.
f(-4) = -2(-4)^2 - 2 = -34
f(0) = -2(0)^2 - 2 = -2
f(3) = -2(3)^2 - 2 = -20
This means that the range of the function is {-34, -2, -20}
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Work out the percentage change to 2 decimal places when a price of £11 is decreased to £8.
Answer:
27.27%
Step-by-step explanation:
find the change in price
£11-£8=£3
percentage change=( (change in price)÷ (original price)) ×100%
(£3/£11) × 100%
=27.27%
y inversely proportional to x
when y=,x=9
work out an equation connecting y and x
What does y equal to? I think you had a typo
27-(2c+3) = 2(c + 7) + c
Answer:
c=2
Step-by-step explanation:
We can first take out the parenthesis: 27-2c-3=2c+14+c. We can combine: -2c+24=3c+14. Then, we can subtract 14 from both sides: -2c+10=3c. Then, we can add 2c on both sides: 10=5c. To find c, we can do 10/5=2.
What is the length of AC? (Giving 50 Points)
5 and shout out to the one above me :)
Step-by-step explanation:
|-2|+|3|
Distance means basically adding the 2 numbers with absolute value. Absolute value is making both numbers positive.
|-2|+|3| = 5
To check this, you add -2+5 and that is equivalent to 3.
Another way:
Another way is to to count the number of times you can skip on the number line just like I show in the image below.
Answer: Hope this help you!
5
Step-by-step explanation:
|-2|+|3|
Distance means basically adding the 2 numbers with absolute value. Absolute value is making both numbers positive.
|-2|+|3| = 5
To check this, you add -2+5 and that is equivalent to 3.
Another way:
Another way is to to count the number of times you can skip on the number line just like I show in the image below.
Brainliest?
Simplify this expression.
7
12
43
36
37
36
es
A)
B)
C)
D)
11
12
003
8
33
d
Step-by-step explanation:
If the dimensions of the following cylinder are doubled, what will be the surface area of the new cylinder? 1,406.72 in. 2 2,813.44 in. 2 1,607.68 in. 2 5,626.88 in. 2
Based on the calculations, the surface area (SA) of a cylinder is equal to: B. 2,813.44 in.²
How to calculate surface area of a cylinder?Mathematically, the surface area (SA) of a cylinder can be calculated by using this formula:
SA = 2πrh + 2πr²
Where:
h is the height.r is the radius.The dimensions of this new cylinder would be equal to:
Radius = 8 × 2 = 16 in.
Height = 6 × 2 = 12 in.
Substituting the given parameters into the formula, we have;
SA = (2 × 3.14 × 16 × 12) + 2 × 3.14 × 16²
SA = 1,205.76 + 1,607.68
SA = 2,813.44 square inches.
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Complete Question:
If the dimensions of the following cylinder are doubled, what will be the surface area of the new cylinder? Radius: 8 in and Height: 6 in.
Group of answer choices.
A. 1,406.72 in.²
B. 2,813.44 in.²
C. 1,607.68 in.²
D. 5,626.88 in.²
A jazz concert brought in $153,500 on the sale of 7,500 tickets. If the tickets sold for $15 and $25 each, how many of each type of ticket were sold?
The number of $15 tickets is
Answer:
the answr is 87 jistg ebcaujse
Step-by-step explanation:
3,500 tickets were sold for $15 each and 4,600 tickets were sold for $25 each.
Let x be the number of $15 tickets and y be the number of $25 tickets.
We know that:
x + y = 7,500 (the total number of tickets sold)
15x + 25y = 153,500 (the total amount of money made from ticket sales)
We can use the first equation to express y in terms of x:
y = 7,500 - x
We can substitute this expression of y into the second equation:
15x + 25(7,500 - x) = 153,500
Solving for x:
15x + 25(7,500) - 25x = 153,500
15x + 187500 - 25x = 153,500
-10x = -34,000
x = 3400
Therefore, 3,400 tickets were sold for $15 each and 7,500 - 3,500 = 4000 tickets were sold for $25 each.
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Math!! finding volume of prisms
The volume of the rectangular prism will be 16.2 cubic ft.
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units,
then its volume is given as:
V = a x b x c unit^3
The dimensions of the given rectangular prism;
Length = 2.7ft
Width = 3 ft
Height = 2 ft
The volume of the rectangular prism
V = a x b x c unit^3
V = 2.7 x 3 x 2
V = 16.2 cubic ft
Hence, the volume of the rectangular prism will be 16.2 cubic ft.
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Hello !!! please help me <3 will give brainle and 25 points please help !!!!
answer: 375
Step-by-step explanation:
panda bear caps: 25
they ordered 100 in total
25/100 = 1/4, a quarter
then you find a quarter of 1500
1500/4= 375
0 belongs to what family of real numbers?
Irrational
Rational, Integer, Whole
Rational
Rational, Integer, Whole, Counting
Answer:
Rational, Integer, Whole
Step-by-step explanation:
Zero(0) can be classified as a whole number, rational number, and non-negative integer.Zero is not a counting number because every counting starts with zero and counting zero (0) means nothing.The pendulum of an antique clock has been damaged and needs to be
replaced. If the original pendulum completed one swing every 1.5 seconds,
how long should the new pendulum be? Use the formula:
T= 2.
1980
OA. 351 centimeters
OB. 0.25 centimeters
O C. 55.9 centimeters
O D. 234.8 centimeters
If the original pendulum completed one swing every 1.5 seconds. How long should the new pendulum be is: C. 55.9 centimeters.
How long should the new pendulum be
Using this formula
T=2π√I/g
Where:
T=1.5 seconds
l =length of pendulum
g= acceleration of gravity=9.8m/s²
Let plug in the formula
1.5 seconds=2π√I/9.8
l/9.8=0.05699
l=0.05699×9.8
l=0.5585
l=55.9 centimeters (Approximately)
Therefore How long should the new pendulum be is: C. 55.9 centimeters.
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8- Determine the midpoint of a line segment with the endpoints (8, 0) and
(4,6)
A. (3,6)
B. (7,3)
C. (6,3)
D. (7.6)
Can someone help pls ?
Answer:
C. (6, 3)
Step-by-step explanation:
Use the midpoint formula!
Midpoint Formula
[tex]\text{midpoint} = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]
x₁, x₂ ... x-coordinates of the endpoints
y₁, y₂ ... y-coordinates of the endpoints
Given endpoints:
(8, 0)
(4, 6)
Points are in form (x, y).
Now let's substitute the variables in the formula with our values.
[tex](\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]
[tex](\frac{8 + 4}{2}, \frac{0+ 6}{2})[/tex]
[tex](\frac{12}{2}, \frac{6}{2})[/tex]
[tex](6, 3)[/tex]
(6, 3) is our midpoint!
find the area of the partial circle. use 3.14 for pi.
Thats a semi circle
Area
πr²/2π(1)²/2π/23.14/21.57cm²10
Select the correct answer.
Which equation is equivalent to the given equation?
- 4(x - 5) + 8x = 91 - 3
OA -5x = 2
OB. 5 = 17
OC. -5x = -23
OD. 5x = -12
Recet
Next
The equation that is equivalent to the given equation is 4x = 68. No answer is correct
Equations and expressionsEquations are two expressions equated to each other. Given the equation below;
- 4(x - 5) + 8x = 91 - 3
Expand
-4x + 20. + 8x = 88
Collect the like terms
4x + 20 = 88
4x = 88 - 20
4x = 68
Hence the equation that is equivalent to the given equation is 4x = 68
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f(4)=
V
If g(x) = 2, x =
V
By looking at the given graph, we can see that:
f(4) = -10g(x) = 2 if x = 0.How to identify the value of the function?
First, we want to find the value f(4). To get that, we need to look at the graph and see the y-value of the function f(x) when x = -4.
By looking at the graph, we can see that f(4) = -10.
Now we know that g(x) = 2, and we want to find the value of x.
Then we need to see the x-value such that g(x) = 2, by looking at the graph of g(x), we can see that it is equal to 2 in the vertex, which is at x = 0.
Then g(x) = 2 when x = 0.
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Find k.
10 mi
60⁰
K
30⁰
solve these algebraic fractions please with explanation would be great
Answer:
look above
Step-by-step explanation:
hope it helps
Question 14 of 16
Identify the domain of the function shown in the graph
A. All positive integers
B. All real numbers
6. All positive real numbers
D. X>=0
B, because you would just assume the line continues forever on both sides.
Question 7(Multiple Choice Worth 1 points)
(02.05 LC)
Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
Two lines labeled f of x and g of x. Line f of x passes through points 0, 4 and negative 4, 0. Line g of x passes through points negative 9, 0 and negative 4, 5.
−4
−5
4
5
The value of k based on the information given will be k = 2.
How to calculate the value?It should be noted that the line of f(x) passes through the point (-4, 0) and (0, 4). The line of g(x) goes through (-2, 0) and (0, 4).
The slope of x will be:
= (4 - 0)/(0 + 4)
= 4/4
= 1
By using slope point form, y = kx + 4.
Substitute x = 2.
g(-2) = -2k + 4 = 0
2k = 4
k = 4/2 = 2
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I WILL GIVE BRAINLIEST
My mother pays my brother twice as much allowance each week as she pays me because he cleans the bathrooms. Together we get $24 each week. How much is my brother's allowance each week?
A. $4.00
B. $8.00
C. $16.00
D. $24.00
Answer:
C is the answer
Step-by-step explanation:
16+ (16/2)=16+8=24
The performance of a cyclist in a race is affected by whether it rains or not that day. The probability the cyclist crashes is 5/8 when it rains and 1/8 when it's dry. On a given day the probability of rain is 1/3 . What is the probability that the cyclist doesn't crash on any given day? please help me
To solve this problem, we have to consider the fact that if the probability that the cyclist may crash due to some circumstance. The probability the cyclist doesn't crash at any given day is 3/8
ProbabilityThe probability the cyclist crash when it's wet or dry will be the
[tex]P = P_w_e_t * P_d_r_y[/tex]
P(wet) = 5/8P(dry = 1/8The probability the cyclist crash on any given day is
[tex]P = \frac{5}{8}*\frac{1}{8} =\frac{5}{64}[/tex]
we can subtract 1 from the value above to find the probability the cyclist doesn't crash at any given day
[tex]P = 1 - \frac{5}{64} \\P=\frac{3}{8}[/tex]
The probability the cyclist doesn't crash at any given day is 3/8
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Find the amplitude of this function.
The amplitude is 2.5
Equation:
the equation to find the amplitude is (max-min) / 2.
using this equation, it would be (4 - (-1)) / 2
5 / 2 = 2.5
Which function has the same domain as y= 2√x?
Y = √2x
Oy=2³√x
Oy=√x-2
O y = ³√x-2
The function that has the same domain as y= 2√x is (a) y = √2x
How to determine the function?The function is given as:
y= 2√x
The above function is a square root function.
All square root functions have the same domain when they are not translated.
This means that
y = √2x has the same domain as y= 2√x because it is not translated
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How many tickets did Airon sell in 2018?
Answer:
11320 is the answer .hope i help you