The ratio of corresponding sides for the given similar triangles is 2/5.
In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:
a. 10
This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.
b. 4/5
This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.
To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.
Dividing 4 and 5 by 1, we get:
4 ÷ 1 = 4
5 ÷ 1 = 5
Therefore, the simplified ratio is 4/5.
c. 10/85
This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.
Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.
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66 is what percent of 330?
A. 30%
B. 25%
C. 24%
D. 20%
Answer:
D) 20 %
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by 100.
Write the equation of a line through the point (4,2) and with a slope of 1/2
Answer:
y=1/2x
Step-by-step explanation:
Its simple and it works with the y=mx+b form.
7
Solve the equation x^2 - 8x + 15 = 0.
Answer:
x=5 x=3
Step-by-step explanation:
x^2 - 8x + 15 = 0
Factor
What 2 numbers multiply to 15 and add to -8
-5*-3 = 15
-5-3 = -8
(x-5)(x-3) =0
Using the zero product property
x-5 =0 x-3 =0
x=5 x=3
Answer:
x = -5
Evidence to support reasoning:
-25,-17,-9, ____, 7, ____
1and15 the coomon difference is 8
-x - 5y = -13 y = 7x - 19
Using substitution
Answer:
x = 3
y = 2
Step-by-step explanation:
Step 1: Define
-x - 5y = -13
y = 7x - 19
Step 2: Substitute and solve for x
Substitute: -x - 5(7x - 19) = -13Distribute -5: -x - 35x + 95 = -13Combine like terms: -36x + 95 = -13Subtract 95 on both sides: -36x = -108Divide both sides by -36: x = 3Step 3: Substitute x to find y
Substitute: y = 7(3) - 19Multiply: y = 21 - 19Subtract: y = 2Step 4: Check
Plug in x and y to verify it's a solution set.
2 = 7(3) - 19
2 = 21 - 19
2 = 2
mr. Smith is traveling north from Houston Texas to Dallas Texas it takes 4 hours to make the 224 mile trip what is his velocity
Answer:
56mph
Step-by-step explanation:
Speed = distance/ time
= 224/4
= 56
56mph
Answer:
56mph
Step-by-step explanation:
12 divided by 264, long division.
Answer:0.04545454545 or 1/22
Step-by-step explanation:
Troy uses 2 pints of stain on each table that he makes. How many tables can he paint with 1
gallon of stain?
Answer:
4 Tables
Step-by-step explanation:
there are 8 pints in one gallon and it uses two pints per table. 8/2= 4
HELP PLS I GIVE 20 BRAINLIST
Help me out I’m doing a test rn
Answer:
49/100
Step-by-step explanation:
It would be 49 over 100 because 0.49 ends in the hundredths place. So it would be 49/100
The endpoints of PQ are at P (-4,-2) and Q (6,3). What are the coordinates of point S which divides PQ such that PS: SQ is equal to 3:2?
Answer:
The coordinates are (2,1)
Step-by-step explanation:
We use the internal division formula here;
x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
Where;
m = 3 and n = 2
x1 = -4 , x2 = 6
y1 = -2 , y2 = 3
Substituting these values;
(x,y) = (2(-4) + 3(6))/(3 + 2) , (2(-2) + 3(3))/(2+3)
= (10/5 , 5/5)
= (2,1)
1. Determine Linda's bonus using the following formula: 2 weeks' salary plus 3 percent of gross sales.
annual salary: $88,600.00
gross sales: $314,000.00
An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10%. Approximately how old is the car?
3.3 years
5.0 years
5.6 years
6.6 years
Answer:
D; 6.6 years.
Step-by-step explanation:
We know that the equation for the depreciation of the car is:
[tex]y=A(1-r)^t[/tex]
Where y is the current cost, A is the original cost, r is the rate of depreciation, and t is the time, in years.
We are told that the value of the car now is half of what it originally cost. So:
[tex]\displaystyle y=\frac{1}{2}A[/tex]
Substitute this for y:
[tex]\displaystyle \frac{1}{2}A=A(1-r)^t[/tex]
We also know that the rate of depreciation is 10% or 0.1. Substitute 0.1 for r:
[tex]\displaystyle \frac{1}{2}A=A(1-0.1)^t[/tex]
So, let's solve for t. Divide both sides by A:
[tex]\displaystyle \frac{1}{2}=(1-0.1)^t[/tex]
Subtract within the parentheses:
[tex]\displaystyle \frac{1}{2}=(0.9)^t[/tex]
Take the natural log of both sides:
[tex]\displaystyle \ln\left(\frac{1}{2}\right)=\ln((0.9)^t})[/tex]
Using the properties of logarithms, we can move the t to the front:
[tex]\displaystyle \ln\left(\frac{1}{2}\right)=t\ln(0.9)[/tex]
Divide both sides by ln(0.9):
[tex]\displaystyle t=\frac{\ln(0.5)}{\ln(0.9)}[/tex]
Use a calculator. So, the car is approximately:
[tex]t\approx6.6\text{ years old}[/tex]
Our answer is D.
And we're done!
what anti hero
A
ghost rider
b
deadpool
c
venom
d
magneto
Answer:
b
Step-by-step explanation:
b bc its the besttt!!!!
Explain, with at least 2 sentences, how to determine if a graph is increasing or decreasing based on the x- and y-values.
Answer:
Two sentences below
Step-by-step explanation:
A graph is increasing if the Y value increases as the X value increases. A graph is declining if the Y value decreases as the X value increases.
Determine the value of X
D o,k (X,9) —> (-10,-6)
A. 5
B. 7
C. 12
D. 15
Answer:
7
Step-by-step explanation:
that is the answer if it may help you
PLEASE HURRYY I GIVE BRAINLIEST!!!
Write a polynomial that represents the perimeter of a triangle with side lengths, 4x+5, 10x-5, and 2x+9. (Make sure you have NO spaces in your responses!) (Use ^for your exponent) ( You do not need to use ( ) in your responses!)
Answer:
16x+9
Hope this helps:)
Which is equal to (2+3i) + (-4+i)
Answer:
-2 + 4i
Step-by-step explanation:
Step 1: Write expression
(2 + 3i) + (-4 + i)
Step 2: Combine like terms
-2 + 4i
Here is a list of numbers:
7.8, 5.7, 0.5, 6.8, 6.1,7.6, 8.4, 10, 8.1
State the median.
Step-by-step explanation
l do not know.
Which of the sets shown include the elements of Set Z that are both even numbers and multiples of 3? Z = {–12, –10, –9, –1, 3, 6, 8, 15} A. {6} B. {–12, 6} C. {–12, –9, 3, 6, 15} D. {–12, –10, –9, –1, 3, 6, 8, 15}
Answer:
B. -12,6
Step-by-step explanation:
Can someone please help me
Answer:
G
Step-by-step explanation:
a293-1
Evaluate each equation
Answer:
.2 ÷ ( 3-4)2/(3-4)2/-1= -2Answer:
lol
Step-by-step explanation:
here are prices for cans of juice that are the same brand and the same size at different store offers the best deal explain your resoning.
slope of the line help
Answer:
8
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
y=1
x=8
Can someone please help me asap?!?! I’ll mark brainlist !!!!
Answer:
a (180)
Step-by-step explanation:
you do 5 plus 5 plus 4 plus 4 and then you get 18 and then you do 18x10 to get 180. Have a great day!
what is (3 x 8 x 16 x 7) + 37 - (77 x 3) - 44 ÷ 20 - 0.8 + 9
IM GIVING 25 POINTS
Answer:
use calculator
follow DMAS rule
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Given the following set of points, complete the table and state whether the set of points is a function. Explain your answer.
{(0,1), (2,3), (5,8), (7,2), (2,-1)}
Answer:
not a function
Domain (x): {0,2,5,7,2}
Range (y): {1,3,8,2,-1}
Step-by-step explanation:
the x values repeated twice so it is not a function
Answer:
Domain is {0,2,5,7,2}
Range is {1,3,8,2,-1}
yes the set of points do represent a function.
Step-by-step explanation:
the domain is the set of x values
the range is the set of y values
a function can't have more than one of the same x values, so this is a function because it does not have more than 1 of the same x values.
hope this helps
What is the equation of a line with m = 6 and y-intercept (0,5)?
The equation of a line with slope m = 6 and y-intercept (0,5) is,
y = 6x + 5
Here,
Given that;
Slope of line is 6 and y - intercept (0, 5).
We have to find equation of line.
What is Equation of line?
The general equation of a straight line is y = mx + c,
where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Now,
The slope of a line m = 6
And, y - intercepts at (0, 5); i.e c = 5
Hence,
Equation of line with slope m = 6 and y-intercept (0, 5) is,
⇒ y = mx + c
⇒ y = 6x + 5
So, The equation of a line with slope m = 6 and y-intercept (0,5) is,
y = 6x + 5
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Which is equivalent to(6 - i)-(3 –8i)?
The expression equivalent to (6 - i) - (3 - 8i) is 3 + 7i.
What are Complex Numbers?Complex numbers are numbers which are of the form [tex]a+bi[/tex] where a and b are real numbers and i is the imaginary number called iota whose value is [tex]i^{2}[/tex] = -1.
The given expression is (6 - i) - (3 - 8i).
Subtraction of complex numbers are done by subtracting the real numbers and subtracting the imaginary numbers separately.
(6 - i) - (3 - 8i) = 6 - i - 3 + 8i
= (6 - 3) + (8i - i)
= 3 + 7i
Hence the resulting value of the difference of the complex numbers 6 - i and 3 - 8i is 3 + 7i.
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Find the distance UV between the points U (7,-4) and V(-3,-6). Round your answers to the nearest tenth,if necessary
Answer:
The answer is 10.2 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
U (7,-4) and V(-3,-6)
The distance between them is
[tex] |UV| = \sqrt{( {7 + 3})^{2} + ( { - 4 + 6})^{2} } \\ = \sqrt{ {10}^{2} + {2}^{2} } \\ = \sqrt{100 + 4} \: \\ = \sqrt{104} \: \: \: \: \: \: \: \: \\ = 2 \sqrt{26} \: \: \: \: \: \: \: \: \\ = 10.1980...[/tex]
We have the final answer as
10.2 units to the nearest tenthHope this helps you
