Steven wants to buy a $575 bicycle. He has no money saved but will be able to deposit $50 into a savings account when he gets his paycheck on Friday. but before Steven can buy the bike he must pay his sister $75. How many weeks will Steven need to deposit money into the account before he can pay back his sister and buy the bike?
The figure shows triangle PQR and line segment AB, which is parallel to QR:
Triangle PQR has a point A on side PQ and point B on side PR. The line AB is parallel to the line QR.
Part A: Is triangle PQR similar to triangle PAB? Explain using what you know about triangle similarity. (5 points)
Part B: Which line segment on triangle PAB corresponds to line segment QR? Explain your answer. (3 points)
Part C: Which angle on triangle PAB corresponds to angle Q? Explain your answer. (2 points)
Answer:
Hello...
Step-by-step explanation:
A)It is similar but not congruent.
B)segment AB.
C)angle A.
HOPE IT HELPS YOU DEAR.....
The answers to all parts are given below.
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a triangle PQR and line segment AB, which is parallel to QR.
[A] -
ΔPQR is similar to ΔPAB as -
∠P = ∠P (Common)
∠PAB = ∠PQR (Corresponding angles)
∠PBA = ∠PRQ (Corresponding angles)
Using AAA similarity rule, ΔPQR is similar to ΔPAB.
[B] -
Line segment AB corresponds to line segment QR
[C] -
∠A in ΔPAB corresponds to ∠Q.
Therefore, the answers to all parts are given above.
To solve more questions on triangles, visit the link below-
brainly.com/question/25950519
#SPJ2
BRAINIEST IF ANSWERED !!If m
Answer:
u didnt put questions
Step-by-step explanation:
What is 5/6 −2/4 ? Please i dont know help
Answer:
ok. its 8/24. but if you got to simplify its 1/3
Step-by-step explanatin
you do 5*4 (the numerator) and 6*4(the denomerator).
this is the lcd(least comon )denominator.
repaet the steps for 2/4 but multiply by 6 on each number
once
thats
done
its
your
answer
Answer:
5/6 – 2/4
= (10–6)/12
= 4/12
= 1/3
_______________________________
Answer:
Step-by-step explanation:
-4x+20<8
20-8<4x
12<4x
3<x
x>3
Solve for 1.
3t - 2 = -11
OA. -12
OB. -11
O c. 9
D. -3
Answer:
B
Step-by-step explanation:
Answer:
t = - 3
Step-by-step explanation:
Assuming you mean solve for t:
[tex]3t-2=-11\\\\3t-2+2=-11+2\\\\3t=-9\\\\\frac{3t=-9}{3}\\\\\boxed{t=-3}[/tex]
Hope this helps.
[tex]\sqrt{x} =69[/tex]
x=?
Carnival M charges an entrance fee of $5.00 and $0.65 for each ride. Carnival P charges an entrance fee of $10.00 and $0.45 for each ride. How many rides will the cost for carnivals be the same
Answer:
your mom
Step-by-step explanation:
Please help me I’ve been struggling.
Answer: the first one
Step-by-step explanation:
No constant rate of change
Solve for variable 24a-22=-4(1-6a)
Answer:
a = undefined/no real solution
Step-by-step explanation:
Expand
24a - 22 = -4 + 24a
24a - 24a = -4 + 22
0a = 18
a = undefined/no real solution (when something is divided by 0 it becomes undefined)
The equation 24a - 22 = -4(1 - 6a) have no solution for the variable "a".
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Given:
equation 24a - 22 = -4(1 - 6a)
1. Distribute the -4 to the terms inside the parentheses:
24a - 22 = -4 + 24a
2. Simplify the equation by combining like terms:
24a - 22 = 24a - 4
3. Rearrange the equation by moving all the terms involving "a" to one side and the constant terms to the other side:
24a - 24a = -4 + 22
4. Simplify 24a - 24a = -4 + 22:
0 = 18
The equation 0 = 18 is not true, which means there is no solution.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ6
2x + 8 > -4
Find the solution set of and describe how you would graph it on a number line.
Answer:
y=x+4
y=6x-1
y=x+3
No picture of graph sorry cant describe how I would set these on a number line
Answer:
y=x+4
y=6x-1
y=x+3
Step-by-step explanation:
what is -5/4 minus 7?
Answer:
-33/4 or -8 1/4
Step-by-step explanation:
Make similar terms:
-5/4 - 28/4: then solve
-5 - 28 = -33: put over 4
-33/4: simplify
-8 1/4
pleas e help me quickly !!
Answer:
100
Step-by-step explanation:
Just so you know, there is a thing called calculator
You should really get one if you are asking such questions
Or maybe, IDK maybe DON'T BE LAZY AND LEARN TO DO SIMPLE CALCULATIONS
The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression, 2.75+0.10x, where x is the number of years since 1980. Which part of the expression corresponds to the cost of movie tickets in 1980?
Answer:
2.75
Step-by-step explanation:
Here, we want to find which part of the formula corresponds to the cost of movie tickets in 1980
The expression to find the cost is
2.75 + 0.10x
Now, x is the time since 1980
1980 is thus the starting position. The value of x at this point is 0, we simply thus make a substitution;
2.75 + 0.1(0)
=
2.75
The interpretation of the given model is required.
The cost of a movie ticket in the year 1980 was $2.75.
The given expression is
[tex]y=2.75+0.1x[/tex]
The point slope form of a line is
[tex]y=mx+c[/tex]
where,
m = Slope
c = Y intercept
The cost of movie ticket increases by $0.10 every year after 1980.
Here, [tex]x[/tex] is the number of years that have passed after 1980.
So, when [tex]x=0[/tex] it will correspond to the cost of ticket in 1980.
[tex]y=2.75+0.1\times 0\\\Rightarrow y=2.75[/tex]
The cost of a movie ticket in the year 1980 was $2.75.
Learn more:
https://brainly.com/question/7590971?referrer=searchResults
Which property was used to write the equation in step 2?
Answer:
It's the subtraction property of equality because you have to subtract.
Step-by-step explanation:
If f=(9/5 x c ) +32 85c =__f
Answer:
185
Step-by-step explanation:
Answer:
It entirely depends upon an individual.
It’s a known fact that humans need social interaction. Lack of which can affect their social behaviour and mindset. Whilst most would agree that e-learning is widely preferred by the younger generation, it is undeniably detaching them from social interactions.
When kids or students are engrossed in learning online, they’re missing out on social interactions that can open various doors of the mind, be it creative or observational skills. It’s understood that e-learning allows an individual to study far and beyond the subject and gives them an opportunity to explore multiple fields of their interest, one can’t ignore that it chains them to the system as well.
The deal-breaker in such a situation is an individual. If they demand social interaction, they would keep their digital device aside for once and would get indulge in social interaction. If they’re of another kind, they would prefer spending their days and nights just exploring and reading about new things online.
So, in my opinion, it’s quite subjective to narrow down the overall benefits and drawbacks of e-learning.
I hope I have answered your question.
Please help? I don’t get this it’s really tough...
Answer:
D. 200-2/3x=2/5
Step-by-step explanation:
You can tell that one side of the equation is going to have only 2/5 because the problem said there was 2/5 of a ton left. You can also figure out that the equation should say 200-2/3x because the problem said that the conveyor belt removes 2/3 of a ton per minute. So, the equation should be...
200-2/3x=2/5, which is D.
Hope this helps c:
Answer: D
Step-by-step explanation:
The 2/3 is the rate and there is 2/5 leftover from the original 200 tons.
Which ones are correct please help me.
Answer:
I think it's the third choice because line segments are congruent and not equal. Line segments also have little lines on top of the letters.
Step-by-step explanation:
======================================================
Explanation:
AB = BC refers to the fact that expressions 2x+7 and 4x-3 are equivalent. They represent numbers when we replace x with some number. So after doing that replacement, we have something in the form number = number.
So this is why choice A is one of the answers.
[tex]\overline{AB} \cong \overline{BC}[/tex] says "segment AB is congruent to segment BC". The horizontal lines over the lettering indicates we have a segment. The equal sign with a squiggle over top is the congruence symbol. In geometry, we say two items are congruent if they are the same. You can think of making a clone of the object and then sliding it over. In this case, we've cloned segment AB to form segment BC.
This is why choice C is the other answer.
--------------
Choices B and D are close, but not quite correct. Choice B is missing the segment markers. Choice D is missing the congruence symbol. Congruence and equality are very similar ideas, so often they get mixed up.
solve. 3(x-6)-2(2x+3)=14
Answer:
x=-38
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x−6)−2(2x+3)=14
(3)(x)+(3)(−6)+(−2)(2x)+(−2)(3)=14(Distribute)
3x+−18+−4x+−6=14
(3x+−4x)+(−18+−6)=14(Combine Like Terms)
−x+−24=14
−x−24=14
Step 2: Add 24 to both sides.
−x−24+24=14+24
−x=38
Step 3: Divide both sides by -1.
−x
−1
=
38
−1
x=−38
The graph shows the function f(x) = 2^x What is the value of x when f(x) = 4?
Answer:
x=2
Step-by-step explanation:
f(x)=2^x
Now the given value is used:
4=2^x
x=2, because 2 squared is 4
Simplify -(x-2y) - y.
Answer:
-(x-y)
Step-by-step explanation:
-(x-2y) - y
-x+2y -y
-x+y
-(x-y)
Lamar used a coordinate plane to show where his posters are displayed on his bedroom wall. Three posters are located at Q(4, 2), R(–3, 2), and S(–3, 5). Use the absolute value of the coordinates to find the distances between points Q and R, and between points R and S.
Answer:
Distance between the points Q and R is 1 unit while the distance between the points R and S is 3 units
Step-by-step explanation:
Here, we want to use the absolute value of the coordinates to find the distances.
Since we are using absolute values, the negative points becomes positive;
Thus;
Q = (4,2)
R = (3,2)
S = (3,5)
Mathematically, the distance between two points in the Cartesian plane can be calculated using the formula;
D = √(x2-x1)^2 + (y2-y1)^2
The distance QR is thus;
D = √(3-4)^2 + (2-2)^2
D = √(-1)^2 + 0
D = √1 = 1 unit
The distance RS is thus;
D = √(3-3)^2 + (5-2)^2
D = √(0) + (9)
D = √9 = 3 units
WILL GIBE BRAINLIEST
Use FOIL to determine the following Expression
Answer:
0=0, Infinite solutions
Step-by-step explanation:
For an answer to have an infinite solution, the two equations when you solve will equal 0=0. Here is a problem that has an infinite number of solutions. If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions.
If this was helpful please give brainliest, have a great day!
x=2
x=10
Woulld really appriciate brainliest here is the steps below
1.1 Factoring x2-12x+20
The first term is, x2 its coefficient is 1 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is +20
Step-1 : Multiply the coefficient of the first term by the constant 1 • 20 = 20
Step-2 : Find two factors of 20 whose sum equals the coefficient of the middle term, which is -12 .
-20 + -1 = -21
-10 + -2 = -12 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and -2
x2 - 10x - 2x - 20
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-10)
Add up the last 2 terms, pulling out common factors :
2 • (x-10)
Step-5 : Add up the four terms of step 4 :
(x-2) • (x-10)
Which is the desired factorization
Equation at the end of step
1
:
(x - 2) • (x - 10) = 0
STEP
2
:
Theory - Roots of a product
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
2.2 Solve : x-2 = 0
Add 2 to both sides of the equation :
x = 2
Solving a Single Variable Equation:
2.3 Solve : x-10 = 0
Add 10 to both sides of the equation :
x = 10
Supplement : Solving Quadratic Equation Directly
Solving x2-12x+20 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
3.1 Find the Vertex of y = x2-12x+20
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 6.0000
Plugging into the parabola formula 6.0000 for x we can calculate the y -coordinate :
y = 1.0 * 6.00 * 6.00 - 12.0 * 6.00 + 20.0
or y = -16.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-12x+20
Axis of Symmetry (dashed) {x}={ 6.00}
Vertex at {x,y} = { 6.00,-16.00}
x -Intercepts (Roots) :
Root 1 at {x,y} = { 2.00, 0.00}
Root 2 at {x,y} = {10.00, 0.00}
Solve Quadratic Equation by Completing The Square
3.2 Solving x2-12x+20 = 0 by Completing The Square .
Subtract 20 from both side of the equation :
x2-12x = -20
Now the clever bit: Take the coefficient of x , which is 12 , divide by two, giving 6 , and finally square it giving 36
Add 36 to both sides of the equation :
On the right hand side we have :
-20 + 36 or, (-20/1)+(36/1)
The common denominator of the two fractions is 1 Adding (-20/1)+(36/1) gives 16/1
So adding to both sides we finally get :
x2-12x+36 = 16
Adding 36 has completed the left hand side into a perfect square :
x2-12x+36 =
(x-6) • (x-6) =
(x-6)2
Things which are equal to the same thing are also equal to one another. Since
x2-12x+36 = 16 and
x2-12x+36 = (x-6)2
then, according to the law of transitivity,
(x-6)2 = 16
We'll refer to this Equation as Eq. #3.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-6)2 is
(x-6)2/2 =
(x-6)1 =
x-6
Now, applying the Square Root Principle to Eq. #3.2.1 we get:
x-6 = √ 16
Add 6 to both sides to obtain:
x = 6 + √ 16
Accordingly, B2 - 4AC =
144 - 80 =
64
Applying the quadratic formula :
12 ± √ 64
x = —————
2
Can √ 64 be simplified ?
Yes! The prime factorization of 64 is
2•2•2•2•2•2
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 64 = √ 2•2•2•2•2•2 =2•2•2•√ 1 =
± 8 • √ 1 =
± 8
So now we are looking at:
x = ( 12 ± 8) / 2
Two real solutions:
x =(12+√64)/2=6+4= 10.000
or:
x =(12-√64)/2=6-4= 2.000
x=10
x=2
Hope this helps Would also appriciate brainliest
Does anyone understand this? If you do can you please instruct me on how to do it or solve it?
Answer:
22 rides happened in the hour.
Step-by-step explanation:
The way to solve this if by first dividing the 650 by the 30 then since the answer will be 21.6 that is basically like having 21 full rides then having one more ride a little over half full.
Write the equation of the parabola in vertex form.
vertex (0,3), point (1,-4)
f(x) =
Answer:
f(x) = 7x² + 3Step-by-step explanation:
vertex form of an equation of the parabola:
f(x) = a(x - p)² + q
vertex (0, 3) ⇒ p = 0, q = 3
so:
f(x) = a(x - 0)² + 3
f(x) = ax² + 3
the parabola goes through point (1, -4) ⇒ x=1, f(x)=-4
-4 = a(1)² + 3
-4 = a + 3
a = 7
Therefore the equation of the parabola in vertex form:
f(x) = 7x² + 3
Convert 214 pounds to kilograms. Use 1 kg = 2.2 lb.
Answer:
97.27 kg
Step-by-step explanation:
1kg = 2.2 lb
214 lb = ?kg
Make it into an equation:
1 kg/ 2.2 lb = ?kg / 214 lb
? = 1kg x 214lb ÷ 2.2 lb
?= 214lb ÷ 2.2 lb
? ≈ 97.27 kg / 214 pounds
Verify :
97.27 x 2.2 ÷ 214 ≈ 0.99 ≈ 1 kg
which of the following is the number of zeros in the cube of 900
[tex] {900}^{3} [/tex]
would have 6 zeros
Use the ruler to measure the length of Rs to the nearest centimeter.
cm
1
2
3
4
5
7
8
9
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
7
8
9 10 11
[Not drawn to scale]
The length of RS is
centimeters
Answer:
18cm
Step-by-step explanation:
Find the image to the question attached.
From the ruler, we are to find the distance between R and S i.e RS
From the ruler, R is on 8 and S is on 26.
Initial point R = 8
Final point S = 26
Length of RS = Final point S - initial point R
RS = 26 - 8
RS = 18
Hence the length of RS is 18cm
In the year 2013 the population of Californiawas about 38,332,521 people. Write the
estimated population as a single digit times a
power of 10.
Find the coordinates of F'after F(-2,-2) was reflected over the line y = -x.
Answer:
F' would be (2, 2) if F was reflected over the line y=-x