Answers
Answer:
a) #4 vertical angles are congruent
b) # 1 ∠3 ≅ ∠7
c) # 6 Transitive property
Step-by-step explanation:
a. Vertical angles - opposite angles that are equal.
b. corresponding angles - in the same place but on different parallel lines
and are equal.
c. a = b, b = c so a = c
Related Questions
what is this frfr??????????????????
Answers
Answer:
7
Step-by-step explanation:
7x-6=43
+6 +6
7x=49
/7 /7
x=7
Answer: x=7
is the answer
Algebra 2 - Standard form of a quadratic function
1. A field goal kicker discussed his performance with this coach. Based on the coach’s data, the kicker usually kicks the ball so it reaches a maximum height of 50 yards
after it has traveled 25 yards down the field. What is the equation, in standard form, of the kick? Round your answer to the nearest hundredth
2. If the goal posts are 10 yards high, what is the minimum and maximum distance that his kick will make it over the goalpost? Round your answer to the nearest hundredth
Answers
Using quadratic function concepts, it is found that:
1) The equation is [tex]y = -0.08x^2 + 4x[/tex]
2) The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.
A quadratic equation has the following format:
[tex]y = ax^2 + bx + c[/tex]
In this problem:
The ball was kicked from the ground, thus [tex]y(0) = 0[/tex], which means that c = 0.Item 1:
The vertex is: [tex]V(x_v,y_v)[/tex], in which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
In this problem, it is (25,50). Thus:
[tex]-\frac{b}{2a} = 25[/tex]
[tex]-b = 50a[/tex]
[tex]b = -50a[/tex]
[tex]-\frac{b^2 - 4ac}{4a} = 50[/tex]
[tex]-b^2 = 200a[/tex]
[tex]-(50a)^2 = 200a[/tex]
[tex]-2500a^2 - 200a = 0[/tex]
[tex]200a(-12.5a - 1) = 0[/tex]
Then, as [tex]a \neq 0[/tex]
[tex]a = -\frac{1}{12.5} = -0.08[/tex]
[tex]b = -50a = -50(-0.08) = 4[/tex]
Thus, the equation, in standard form, is:
[tex]y = -0.08x^2 + 4x[/tex]
Item 2:
The distances are the values of x for which:
[tex]y = 10[/tex]
Then
[tex]-0.08x^2 + 4x = 10[/tex]
[tex]-0.08x^2 + 4x - 10 = 0[/tex]
Which is a quadratic equation with [tex]a = -0.08, b = 4, c = -10[/tex]. Then:
[tex]\Delta = 4^2 - 4(-0.08)(-10) = 12.8[/tex]
[tex]x_{1} = \frac{-4 + \sqrt{12.8}}{2(-0.08)} = 2.64[/tex]
[tex]x_{2} = \frac{-4 - \sqrt{12.8}}{2(-0.08)} = 47.36[/tex]
The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.
A similar problem is given at https://brainly.com/question/24713268
HELP!! Please!! Complete the equation describing how
x and y are related.
Answers
Anyone know these answers for math??
Answers
Answer:
7) No
8) Yes
Step-by-step explanation:
7) 15 + 2y = -12 - 4y when y = -0.5
15 + (2*-0.5) = -12 - (4*-0.5)
15 + -1 = -12 - (-2)
15 - 1 = -12 + 2
14 = -10
The numbers are different on both sides so -0.5 is not a solution
8) 5 - 2( 3x + 5 ) = 3 - 10x when x = 2
5 - 2( (3*2) + 5 ) = 3 - (10*2)
5 - 2( 6 + 5 ) = 3 - 20
5 - 2*11 = 3 - 20
5 - 22 = 3 - 20
-17 = -17
The numbers are similar on both sides so 2 is a solution
Which equations describes a line that has a y-intercept of 4 and a slope of 3?
Answers
Hello there!
If a line has a slope of 3 and a y-intercept of 4, its equation looks like this:
[tex]y=3x+4[/tex]
Hope this helps you! Mark Brainliest, please! :)
~Just a joyful teen
[tex]SilentNature[/tex]
Answer:
y = 3x + 4
Step-by-step explanation:
Eighth grade Y.14 Solve equations with the distributive property SRP Solve for u. -9.6u - 6.96 = -3(2.4u – 4.72) – = U = Submit
Answers
Answer:
2.93 repeating
Step-by-step explanation:
Wanda purchased some gifts for her kids and husband online. She bought a doll for $14.59, 2 games for $10.95 each, and 2 movies for $9.99 each. The web site had a promotional offer of $10 off and no shipping fees for any purchase totaling at least $40. Wanda was charged 7.25% tax on her total purchase. How much did Wanda pay for her online purchase?
Answers
Answer:
50.37
Step-by-step explanation:
help please because I feel like my brain is gonna rot from this (please look at the image)
Answers
Answer:
124.3
Step-by-step explanation:
42.15+20.00=1/2x
62.15=1/2x
62.15*2
124.3 is the total of her paycheck.
42.1<20.00+x
help please I need help
Answers
Answer:
a is 16 yards hope this helps
Step-by-step explanation:
Complete the following statement.
The ratio of adults to children at a family reunion is 16 to 10. If there are 91 people at the family reunion, there are
adults and
children.
Answers
Answer:
56 adults and 35 children
Step-by-step explanation:
sum the parts of the ratio 16 + 10 = 26
Divide 91 by 26 to find one part of the ratio
91/26 = 3.5 ← 1 part of the ratio
16 parts = 16 × 3.5 = 56 ← number of adults
10 parts = 10 × 3.5 = 35 ← number of children
Therefore it 56 adults and 35 children.
To Check the Answer: 56 + 35 = 91
What’s the perimeter of 4 feet long and 4 feet wide
Answers
4 times 4 so your awnser is 12
Hope that helps :)
Answer:
16
Step-by-step explanation:
4+4+4+4
can someone please help me with this question including a full explnation?
Answers
Given :-
Diameter of table = 2.3m Length of cloth to be hanged = 10cm .To find :-
The area of tablecloth required .Solution :-
According to Question ,
r = 2.3/2 + 10/100 m r = 1.15 + 0.1m r = 1.25mAs we know that ,
Area = πr²Area = 3.14 * 1.25 * 1.25 m² Area = 4.90 m² ≈ 5m²Write a function to represent the point (x, y) rotated 90° counterclockwise about the origin.
Answers
Answer:
see explanation
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x )
The function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
When the given coordinate (x,y) are rotated rotated 90° counterclockwise about the origin, then the coordinates become (- y, x ).
R(x, y )= (- y, x )
Therefore, the function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).
Learn more about Coordinates:
https://brainly.com/question/23450276
#SPJ2
15. A 12.5 oz bag of Doritos for $3.79 or a 3 oz bag for $1.00.
☆
Which is the better buy
Answers
Answer: $3.79 for 12.5 oz. is cheaper per ounce than $1.00 for 3oz.
Step-by-step explanation: Without much effort we can see that $ 1.00 for 3 oz $4.00 for 12 oz. but you can get more (12.5 oz.) for less than $4.00 (for $3.79) if you buy 12.5 oz. for $3.79
Help plz I need help plz
Answers
Step-by-step explanation:
the third option is the correct one
The diagram shows triangle QRS with side SR on ray ST.
Part A. What is the measure of ∠QRS?
Part B. What is the measure of ∠Q?\
PLEASE HELP WITH ALL SERIOUSNESS AND A PROPER EXPLANATION
Enter the correct answers in the boxes.
Answers
The measure of angle QRS is 35 degrees and the measure of angle Q is 116 degrees.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
As we know in the triangle the sum of the two interior angles is equal to the exterior angle.
Angle RQS + Angle RSQ = Angle TRQ
4y + y = 145
5y = 145
y = 29
The measure of angle QRS = 180 - Angle RQS - Angle RSQ
= 180 - 4(29) - 29
Angle QRS = 35 degree
The measure of angle Q = 4y = 4(29) = 116 degree
Thus, the measure of angle QRS is 35 degrees and the measure of angle Q is 116 degrees.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ1
Simplify
2^4 x 2^3/
2^5 x 2^4
leaving your answer in index form.
Answers
Answer:
2^-2
Step-by-step explanation:
When multiplying indices or exponents with the same base number, you can add the powers:
2^4 x 2³ = 2^7 (4 + 3 = 7)
2^5 x 2^4 = 2^9 (5 + 4 = 9)
When dividing indices or exponents with the same base number, you can subtract the powers:
2^7 ÷ 2^9 = 2^-2 (7 - 9 = -2)
can someone please help me with this? i don’t understand it at all
Answers
Answer: I’m pretty sure they are similar because they have the same interior degree.
Step-by-step explanation:
I NEED HELPPP WHEN THESE!!! please can someone help
Answers
Answer:
a: 36
b: 10
c: 3.2
d: a
Step-by-step explanation:
Answer:
A = 36
B = 10
C = 3.2
D = a
Step-by-step explanation:
The square roots and power of 2s zero each other out.
Liam is a tyre fitter question
Answers
Answer:
a) 168
b) 3
Step-by-step explanation:
a) 56÷4=14 14×12=168
b) 56÷4=14 56-14=42 42÷14=3
Let's caunt how many min for only one tyre and one van
It will take 56 min /4 = 14 min
So it will take only 14 min for 1 tyre in one van.
Let's solve a
A) 12 tyres to 3 van.
If we will say it will take 14 min for each tyre in one van
So 12 tyres will take 14 min * 12 = 168 min which is equal 2 hours and 48 min .
B) as we said it will take only 14 min for 1 tyre.
So 42/14 =3
So he will install 3 tyres in 42 min
Jennifer has 84.5 yards of fabric to make. She makes 6 identical curtains and has 19.7 yards of fabric remaining. How many FEET of fabric does Jennifer use per curtain?
Answers
Answer: 118.2
Step-by-step explanation:
Pablo owes his sister $9. His sister Nina owes their mother three times that amount. What number on the number line represents Nina’s debt?
Answers
Answer:
Step-by-step explanation:
Nina's debt = 3 * 9 = $ 27
Debt is represented using negative sign.This represents (-27) on the number line.
Answer:(-27)
Step-by-step explanation:
i got it right on edge 2022
A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week.
Which function can be used to find t, the total number of gallons of water in the tank after w weeks?
F t = 15w - 275
G t = -15w + 275
H t = 275w - 15
J t = -275w + 15
Answers
The function that can be used to find t, the total number of gallons of water in the tank after w weeks will be t = -15w + 275
The initial volume of water in the tank is 275 gallons
The amount of water in the tank decreases at a constant rate of 15 gallons per week.
t = total number of gallons water in the tank after weeks
w = number of weeks
Therefore, the following equation/theory can be establish
The initial gallon of water in the tank is 275 gallons that means we should have positive value of 275 in the equationThe gallon of water reduces by 15 gallons each week which means 15 gallons will be subtracted from the initial gallons of water each week. This means we have to find the product of -15 and w(number of weeks).The equation will be
t = 275 - 15w
or
t = -15w + 275
Check here for more details on how to find linear equations: https://brainly.com/question/17846793?referrer=searchResults
The value of
[tex]2 + \frac{1}{2 + \frac{1}{2 + \frac{1}{2 + ... \infin} } } \: is \\ [/tex]
Given answer with step by step explanation.
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
We have to find out the value of the fraction.
Let us assume that:
[tex] \sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } } [/tex]
We can also write it as:
[tex] \sf \longmapsto x =2 + \dfrac{1}{x} [/tex]
[tex] \sf \longmapsto x =\dfrac{2x + 1}{x} [/tex]
[tex] \sf \longmapsto {x}^{2} =2x + 1[/tex]
[tex] \sf \longmapsto {x}^{2} - 2x - 1 = 0[/tex]
Comparing the given equation with ax² + bx + c = 0, we get:
[tex] \sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}[/tex]
By quadratic formula:
[tex] \sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1} [/tex]
[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1} [/tex]
[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2} [/tex]
[tex] \sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2} [/tex]
[tex] \sf \longmapsto x = 1 \pm\sqrt{2}[/tex]
[tex] \sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}[/tex]
But "x" cannot be negative. Therefore:
[tex] \sf :\implies x = 1 + \sqrt{2}[/tex]
So, the value of the fraction is 1 + √2.
4.5 kg equals times one gram
Answers
Answer:
4500 gr
Step-by-step explanation:
4.5 kg equals some number (n) times one gram. Solve this for n:
4.5 kg = n(1 gr)
Recall that 1 kg = 1000 gr. Because of this, the equation above becomes
4.5 kg (4.5)(1000 gr)
n = --------------- or ------------------- or 4500 gr
1000 gr 1 gr
what is the slope of this line?
a) -1/3
b)1/3
c) -2/3
d) 2/3
Answers
Answer:
look at the picture i have sent
Three out of nine cats weigh less than 15 pounds.
What is the decimal equivalent for the number of cats weighing less than 15 pounds?
Answers
Answer:
0.333...
Step-by-step explanation:
3 out of 9 can be written as 3/9 which reduces to 1/3.
1/3 = 0.333...
Each year the local country club sponsors a tennis tournament. Plays starts with 128 participants. During each round, half of the players are eliminated. How many players remain after five rounds?
Answers
Answer:
128 divided by 2 for 5 times is your answer enjoy my.kiddo
Find (f +g)(x) where f(x) = x+ 3 and g(x) = x + 4.
Answers
Answer:
Correct answer is A
Step-by-step explanation:
In pic
Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
What is the axis of symmetry of the quadratic function y = 2(x + 3)2 + 5?
Answers
Answer:
I would answer it correctly but only 5 points -_-
Step-by-step explanation: