Answer:
u should put the question in English to so English people can also help
What information could be added to the following triangles in order to prove them
similar by the angle-angle similarity theorem?
Triangle HIJ is similar to triangle MNO by the angle-angle similarity theorem if ∠O ≅ ∠J.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Two triangle are said to be similar if the ratio of their corresponding sides are in the same proportion and corresponding angles are congruent.
Triangle HIJ is similar to triangle MNO by the angle-angle similarity theorem if ∠O ≅ ∠J.
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Which statement best explains why the sine of an acute angle is equal to the cosine of the angles complement
Answer:
Option (B)
Step-by-step explanation:
From the figure attached,
ΔABC is a right triangle.
Cosine and Sine ratios from the given triangle will be,
SinA = [tex]\frac{\text{Opposite side}}{Hypotenuse}[/tex]
= [tex]\frac{a}{c}[/tex]
CosB = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{a}{c}[/tex]
Therefore, both the ratios (Sine and Cosine) will be equal as [tex]\frac{a}{c}[/tex]
Option (B) will be the correct option.
can u help me. if answer is correct, i will give u brainliest
Answer:
135 units²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
To calculate h use Pythagoras' identity on the right triangle on the left
h² + 8² = 17²
h² + 64 = 289 ( subtract 64 from both sides )
h² = 225 ( take the square root of both sides )
h = [tex]\sqrt{225}[/tex] = 15 , thus
A = 9 × 15 = 135 units²
Factor out the greatest common factor from 4x4 + 12x2 + 8x.
4(x4 + 3x2 + 2x)
2x(2x3 + 6x + 4)
4x(x3 + 3x + 2)
2(2x4 + 6x2 + 4x)
Answer:
4x( x^3 +3x+2)
Step-by-step explanation:
4x^4 + 12x^2 + 8x
Factor out 4x
4x( x^3 +3x+2)
Choose the best definition for the following phrase: combining like terms (1 point)
A letter that holds the place for some unknown value in mathematics
A process where you must look for terms that have identical variable parts and then combine their coefficients
A process where if two things are equal, one can be put in the place of the other and nothing will change
Terms that have identical variable parts
Answer:
D. Terms that have identical variable parts
Step-by-step explanation:
Like terms refers to terms that have identical variable parts.
For example:
Given the expression
2xy + z + x + 3y - 5z + 4y - xy + 3x
The like terms in the expression are:
2xy - xy= xy
z - 5z= -4z
x + 3x= 4x
3y + 4y=7y
The new expression will be
xy - 4z + 4x + 7y
If 24, x, and 6 form the first three terms of an arithmetic sequence
then which of the following is the value of x?
(1) 12
(3) 20
(2) 15
(4) 42
===============================================
Work Shown:
d = common difference
p = first term = 24
q = second term = a+d = 24+d
r = third term = q+d = 24+d+d = 24+2d = 6
------------
Solve for d
24+2d = 6
2d = 6-24
2d = -18
d = -18/2
d = -9
We add -9 to each term to get the next term. This is the same as subtracting 9 from each term to get the next term.
------------
First term = 24
Second term = 24-9 = 15
Third term = 15-9 = 6
We get the sequence 24, 15, 6
The value of a car is $20,000. It loses 10.7% of its value every year . Find the approximate monthly decrease in value . Round your answer to the nearest tenth.
Answer:
$178.3
Step-by-step explanation:
The value of a car is $20,000
The car loses 10.7% of its value yearly
Since there are 12 months in a year then 10.7% can be represented as
10.7%/12
= 0.8916%
Therefore the approximate monthly decrease in value can be calculated as follows
= $20,000×0.8916/100
= $20,000×0.008916
= $178.3
Hence the approximate monthly decrease in value is $178.3
WILL GIVE BRAINLIEST
Question 8(Multiple Choice Worth 1 points) (06.04 LC) Choose the correct product of (6x − 2)(6x + 2). A.36x2 + 4 B.36x2 − 24x + 4 C. 36x2 + 24x + 4 D. 36x2 − 4
Answer:
D) 36x²-4
Step-by-step explanation:
36x²+12x-12x-4
36x²-4
[tex](6x - 2)(6x + 2) \\ = {(6x)}^{2} - {(2)}^{2} \\ = {36x}^{2} - 4[/tex]
Answer:
D.
[tex] {36x}^{2} - 4[/tex]
Hope you could understand.
If you have any query, feel free to ask.
If you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows, the total number of marshmallows is given by the expression 5(x+12). Identify an equivaler expression
The answer of the question is 60.
Answer:
The expression that is equivalent to the given expression is:
5x+60
Step-by-step explanation:
It is given that:
if you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows.
so, let x be the initial number of marshmallows in each bag and now 12 are added to each bag this means that the number of marshmallows in each bag is:
x+12
Hence, total number of marshmallows in 5 bags is:
5(x+12)=5×x+5×12
5(x+12)=5x+60
Hence, the answer is:
5x+60
Feel free to brainliest :)
Picture shown!
If f(x) = x + 1, and g(x) = 2x,
then
f(g(x)) = [ ? ]x + [ ?]
Answer:
2x+1
Step-by-step explanation:
f(x) = x + 1
g(x) = 2x
f(g(x)) = Replace x in the function f(x) with the function g(x)
f(g(x)) = g(x) +1
= 2x+1
Answer:
f(g(x)) = 2x + 1
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x))
= f(2x)
= 2x + 1
A laptop battery has 81% power after 1 hour of use and 24% after 4 hours use. What is the slope?
Answer:
Step-by-step explanation:
If A laptop battery has 81% power after 1 hour of use
It looses 19 % of its energy in one hour.
The difference between 81% and 24% is 57%
The slope of the line of rate of decrease of battery percentage is 19% per hour.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is
y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or the rate of change is large.
We know slope(m) of a line = (y₂ - y₁)/(x₂ - x₁).
The problem can be constructed as having two points (1, 81) and (4, 24).
∴ Slope(m) = (24 - 81)/(4 - 1).
Slope(m) = - 57/3.
Slope(m) = - 19.
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PLS HELP ME ANSWER THIS QUESTION I DONT UNDERSTAND IT I WILL GIVE BRAINLIST AND A THANK YOU!!!!
Answer:
x=150°
Step-by-step explanation:
Using the vertical angle theorem, you can infer that AEC and DEB are in fact the same angle, 20°, and the same goes for FED and CEG, both 130°.
So, x spans AEC and CEG so is 20° + 130° = 150°
What is an algebraic expression for the word phrase 6 times a number n?
Answer:
6n i guess?
Step-by-step explanation:
think of as this
n=1 (1n)
n×6=n6
Answer:
6n
Step-by-step explanation:
when we say 6times a number,it means 6 multiplying the number
Find the value of x
Answer:
C
Step-by-step explanation:
Using exterior angle property, we have 97+4x+7=17x+13. 13x=91, x=7
Make the biggest possible number using the digits below only once 4 , 5 , 5 answer
Answer:
554
Step-by-step explanation:
The largest number (5) should go in the hundreds place, the second-largest number (also 5) should go in the tens place and the smallest number (4) should go in the units place so the answer is 554.
What is the justification for step 3 in the solution process?
0.8a - 0.1 a= a - 2.5
Step 1: 0.7a= a - 2.5
Step 2: -0.3a = -2.5
Step 3:
a= 8.3
OA.
the division property of equality
OB
B. combining like terms
O c. the subtraction property of equality
OD. the addition property of equality
Answer:
c. the subtraction property if equality
Step-by-step explanation:
i just did this and got it right
The justification for step 3 in the solution process is the division property of equality option (A) the division property of equality is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation is:
0.8a - 0.1 a = a - 2.5
The above equation represents the linear equation in one variable.
Step 1: 0.7a = a - 2.5 (adding like terms)
Step 2: -0.3a = -2.5 ( subtraction property of equality)
Step 3: a = 8.3 (the division property of equality)
Thus, the justification for step 3 in the solution process is the division property of equality option (A) the division property of equality is correct.
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Determine the value of x!
Answer:
x = 17.51
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 35 = x/25
25 tan 35 =x
x=17.50518
BRAINLIEST!!!
What are the coordinates of P?
Answer:
Step-by-step explanation:
A kite is symmetrical about its vertical axis, so
if it is a kite, P is the reflection of (b,0), so its coordinates are
(-b,0) by reflection about the y-axis.
Find the value of x.
ASAP!!
Answer:
x = 80
Step-by-step explanation:
Tangent Chord Angle =1/2 Intercepted Arc
40 = 1/2 x
80 = x
Belinda is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for three years: Number of years 1 2 3 House 1 (value in dollars) 186,160 193,606.40 201,350.66 House 2 (value in dollars) 190,000 201,000 212,000 Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points) Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points) Part C: Belinda wants to purchase a house that would have the greatest value in 30 years. Will there be any significant difference in the value of either house after 30 years? Explain your answer, and show the value of each house after 30 years. (4 points)
Answer:
A) both functions are linear
B) f(x) = 7446.4x + 178713.6 and f(x) = 11000x + 179000
C) House 2 will value $106894.4 more than house 1.
Step-by-step explanation:
A) Value Increase from year 1 to year 2:
House 1: 193,606.40 - 186,160 = 7446.4
House 2: 201,000 - 190,000 = 11000
Value Increase from year 2 to year 3:
House 1: 201,350.66 - 193,606.40 = 7744.26
House 2: 212,000 - 201,000 = 11000
This means that a constant increament in x variable gives a constant increament in both houses vales. Then, both functions are linear.
B) The slope is the same as the value increment from one year to the next one.
slope (m) of House 1: 7446.4
slope (m) of House 2: 11000
General formula of a line:
f(x) = mx+b
Replacing with a known point:
House 1
186,160 = 7446.4(1) + b
b = 186,160 - 7446.4 = 178713.6
equation: f(x) = 7446.4x + 178713.6
House 2
190,000 = 11000(1) + b
b = 190,000 - 11000 = 179000
equation: f(x) = 11000x + 179000
C) Replacing x = 30 into each equaiton:
Value of House 1 after 30 years
f(x) = 7446.4(30) + 178713.6 = 402105.6
Value of House 2 after 30 years
f(30) = 11000(30) + 179000 = 509000
Then, house 2 will value 509000 - 402105.6 = $106894.4 more than house 1.
Please answer now question
Answer:
v=168
Step-by-step explanation:
there are 10 boys and 6 girls. How many ways are there to choose 8 people to get at most 5 girls
Answer:
Hello,
Step-by-step explanation:
0 girls and 8 boys :
[tex]\left(\begin{array}{c}10\\ 8\end{array}\right)=10*9*8*7*6*5*4*3/8!=45\\\\[/tex]
1 girl and 7 boys:
[tex]\left(\begin{array}{c}6\\ 1\end{array}\right)*\left(\begin{array}{c}10\\7\end{array}\right)=6*10*9*...*4/7!=6*120=720\\\\[/tex]
2 girl and 6 boys:
[tex]\left(\begin{array}{c}6\\ 2\end{array}\right)*\left(\begin{array}{c}10\\6\end{array}\right)=60*210=1260\\[/tex]
3 girl and 5 boys:
[tex]\left(\begin{array}{c}6\\ 3\end{array}\right)*\left(\begin{array}{c}10\\5\end{array}\right)\\[/tex]
4 girls and 4 boys:
[tex]\left(\begin{array}{c}6\\ 4\end{array}\right)*\left(\begin{array}{c}10\\4\end{array}\right)[/tex]
5 girls and 3 bys:
[tex]\left(\begin{array}{c}6\\ 5\end{array}\right)*\left(\begin{array}{c}10\\3\end{array}\right)[/tex]
I let you to calculate and make the sum.
a rectangular rug is 1.8m long 0.7 wide, all measurement are given to 1 decimal place
(They have been tranucated and not rounded)
A) state the minimum possible length of the rug
B) calculate the maximum possible area of the rug
What is the area of a rectangle whose length is (5x + 2)cm and whose width is (3x + 1)cm?
Answer:
[tex]\displaystyle A = 15x^2 + 11x + 2\text{ cm}^2[/tex]
Step-by-step explanation:
We are given that the length and width of a rectangle is given by:
[tex]\ell = (5x + 2)\text{ cm} \text{ and } w = (3x+1)\text{ cm}[/tex]
And we want to find the area of the rectangle.
Recall that the area of a rectangle is given by:
[tex]\displaystyle A = w\ell[/tex]
Substitute:
[tex]A = (3x+1)(5x+2)[/tex]
Expand and simplify:
[tex]\displaystyle \begin{aligned}A &= 5x(3x+1) + 2(3x+1) \\ &= (15x^2+5x)+(6x+2) \\ &= (15x^2)+(5x+6x)+(2) \\ &= 15x^2 + 11x +2 \end{aligned}[/tex]
Hence, the area of the rectangle is:
[tex]\displaystyle A = 15x^2 + 11x + 2\text{ cm}^2[/tex]
Determine the standard form of the equation of the line that passes through (-6, 6) and (3, -2). A. -8x + 9y = -6 C. -8x -9y = 6 B. 8x + 9y = 6 D. 9x - 8y = 6
Answer:
B. 8x + 9y = 6
Step-by-step explanation:
You can eliminate answer choices A and C because their leading coefficient is negative. In standard form, the leading coefficient is positive.
For the remaining two equations, you can check to see if the given points are on the line
B: for point (-6, 6), we want 8(-6) +9(6) = 6 . . . true
for point (3, -2), we want 8(3) +9(-2) = 6 . . . . true
The appropriate equation is 8x +9y = 6.
D: (we don't need to check to know it won't work after the above)
__
The equation in standard form, can be written from ...
(Δy)(x -a) = (Δx)(y -b) . . . . . for some point (a, b)
The values of Δx and Δy are the differences between corresponding coordinates.
Δy = 6 -(-2) = 8
Δx = -6 -3 = -9
For point (-6, 6), the above equation becomes ...
8(x +6) = -9(y -6)
8x +48 = -9y +54 . . . . eliminate parentheses
8x +9y = 6 . . . . . . . . . . add 9y-48
Let vector a = 3i + j - k.
Find the vector b in the direction of vector a such that |b| = 5
Answer:
5i +(5/3)j - (5/3)k
Step-by-step explanation:
Vector b is in the same direction as vector a, so it is a scalar multiple of a.
b = ca for some positive real number c.
b = c(3i + j - k) = 3ci + cj - ck
|b| = sqrt[(3c)^2 + c^2 - c^2] = sqrt(9c^2) = 3c
If |b| = 5, then 3c = 5 and c = 5/3
That makes b = (5/3)(3i + j - k) = 5i +(5/3)j - (5/3)k
My computer can download a movie in 5 hours. If I install an extra processor it can download the movie in 4 hours. How long, working alone, would it have taken the new extra processor to download the movie?
Answer:
20 hours
Step-by-step explanation:
Computer download=5 hours
Computer + Extra processor=4 hours
Computer's rate =1/5 per hour
Computer + extra processor rate=1/4 per hour
Extras processor rate=1/x
Where,
x=how long it takes extra processor to get the job done on its own.
To find x, we have to solve the equation
1/5 + 1/x = 1/4
Subtract 1/5 from both sides
1/5 + 1/x -1/5 = 1/4-1/5
1/x=1/4-1/5
1/x = 5-4/20
1/x = 1/20
Cross product
1(20)=x(1)
20=x
x=20 hours
It would have taken the new extra processor alone 20 hours to download the movie
7 kids on the basketball team return sick from a weekend playing games at Lakenheath High school with a virus. The aggressive virus spreads at 130% each day. How long many days till 500 students are sick at school?
Answer:
It would take 6 days for 500 students to be affected.
Step-by-step explanation:
Given that:
1. Seven kids returned with the virus.
2. The aggressive virus spreads at 130% each day.
We want to find how many days until 500 students are infected by the virus.
First day:
7 students have the virus, 130% of 7 student will contract the virus again.
130% of 7 = (130/100) × 7
= 1.3 × 7 = 9.1 ≈ 9
9 new students are affected
New total affected = 7 + 9 = 16 students.
Day 2:
Affected = 1.3 × 16 = 20.8 ≈ 20
New total affected = 20 + 16 = 36
Day3
Affected = 1.3 × 36 = 46.8 ≈ 46
New total affected = 36 + 46 = 82
Day4
Affected = 1.3 × 82 = 106.6 ≈ 106
New total affected = 106 + 82 = 188
Day5
Affected = 1.3 × 188 = 244.4 ≈ 244
New total affected = 244 + 188 = 432
Day6
Affected = 1.3 × 432 = 561.6 ≈ 561
New total affected = 561 + 432 = 993
Therefore, it would take 6 days for 500 students to be affected.
A spray irrigation system waters a section of a farmer’s field. If the water shoots a distance of 85 feet, what is the area that is watered as the sprinkler rotates through an angle of 60 degrees? Use 3.14 for pi . Round your answer to the nearest square foot, and enter the number only.
Answer:
3,781
Step-by-step explanation:
To solve this problem, we will find the area of the whole circle and use that to find teh area of the 60º section.
First, recognize the formula for the area of a circle:
A = 3.14[tex]r^{2}[/tex]
In this scenario, the radius (r) is 85 feet:
A = 3.14(85[tex])^{2}[/tex]
A circle is 360º and we only require the area of 60º. 360º / 60º = 6 so we will divide by 6:
A = [tex]\frac{3.14(85)^{2} }{6}[/tex]
Finally, we will simplify and round:
A = 3,781
square root of 324 ,576 and 704(show all steps)
Answer:
Step-by-step explanation:
√324=18
√576=24
√704=26.532....