Answer:
The first option
Step-by-step explanation:
Attend to precision. Suppose that ∠1 and ∠2 are same-side interior angles formed by two parallel lines cut by a transversal, and that m∠1=7x-4 and m∠2=20x-5.
a.What is the value of x?
b.What is m∠1?
c.What is m∠2?
d.Explain how you found your answers.
9514 1404 393
Answer:
a) x = 7
b) m∠1 = 45°
c) m∠2 = 135°
Step-by-step explanation:
a) Same-side interior angles are supplementary, so we have ...
∠1 +∠2 = 180
(7x -4) +(20x -5) = 180
27x = 189
x = 7
__
b) The measures of the angles can be found by substituting the value of x into the express for the angle measure.
m∠1 = 7x -4 = 7(7) -4 = 45
m∠1 = 45°
__
c) Angle 2 is the supplement of angle 1, so ...
m∠2 = 180° -45°
m∠2 = 135°
__
d) We used the relationship of angles at a transversal and the properties of equality.
What is the equation of y = x 3 y = x 3 with the given transformations? vertical stretch by a factor of 3, horizontal shift 4 units to the right, vertical shift 3 units down
Answer and Step-by-step explanation: In math, a graph, function or equation can be alterated - by shifting, reflecting, stretching or compressing - without losing its original shape. For example, a quadratic function maintains its parabolic shape when shifted.
When an equation is transformed vertically, it means its y-axis is changed. When it is horizontally, its x-axis is modified.
For equation [tex]y=x^{3}[/tex]:
Vertical stretch by a factor of 3:This means the exponential equation will be multiplied by a constant, in this case 3. Then, the new equation is
[tex]y=3x^{3}[/tex]
Horizontal shift 4 units to the right:When an equation is shifted, it's added a constant to it. As it is horizontal, it means it is added to the x and because it is to the right, it is a plus symbol:
[tex]y=x^{3+4}[/tex]
Vertical shift 3 units down:Vertical shift means the equation is 3 units "below" the original equation, so:
[tex]y=x^{3}-3[/tex]
If the length of a cube is 2cm then find the surface area of the cube?
Given:
Length of a cube is 2 cm
To Find:
Surface area of the cube
Solution:
A cube consists of 6 faces.
The area of each face = side x side
So, the total surface area of a cube = 6 x
side x side
Let a be the length of the given cube
: Surface area of a cube = 6a square
a = 2 cm (Given)
Surface area of cube = 6 x 22 =(6 x 4) = 24 cm square.
Hence, the surface area of the given
cube is 24cm square.
Hope it helps!
Helpppppp meeee please and thank you
Answer:
d
Step-by-step explanation:
if you roll a standard 6 sided die, whats the probability that you get a 1,2,3,5, or 6?
Answer:
5/6
Step-by-step explanation:
1 has a 1/6 chance2 has a 1/6 chance3 has a 1/6 chance5 has a 1/6 chance6 has a 1/6 chance1, 2, 3, 5, or 6 has a 1/6+1/6+1/6+1/6+1/6=5/6 chanceAnswer:
18.3% chance it will land on that particular side
DUE AT 11:59 I NEED HELP ASAP PLEASE HURRY
Answer:
4
Step-by-step explanation:
8/3x=4+5/3x
8/3-5/3x=4
x=4
If 5/2 kg of carrots cost $3,how much will 3/2 kg cost?
Answer:
first you find out how much will 1/2 kg of carrot cost, that way you can multiply it by 3 to get what 3/2 cost.
So, 3÷ 5 = 0.6 per 1/2 kg. Then 0.6 × 3 = 1.8 dollars for 3/2 kg
Determine whether the given number is an irrational number or a rational number and place it in its representing
category
Irrational Numbers
Rational Numbers
Answer:
Answer below
Step-by-step explanation:
Rational:
36
7/16
81
Irrational:
120
48
pi
The rational numbers are √36, 7/16, and √81 = 9 the irrational numbers are √120, √48, and π.
What is an irrational number?It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
From the definition of rational and irrational number, we can identify the rational and irrational numbers as below:
Rational numbers:
√36 = 6
7/16
√81 = 9
Irrational number:
√120
√48
π
Thus, the rational numbers are √36, 7/16, and √81 = 9 the irrational numbers are √120, √48, and π.
Learn more about the irrational number here:
brainly.com/question/17450097
#SPJ2
What is the degree of the polynomial below?
2x^2 + 3x +1
A. 0
B. 2
C. 3
D. 1
Answer:
2
Step-by-step explanation:
The highest exponent of the variable is known as degree of the polynomial. The eqn. given in the question has exponents 2 & 1 out of which 2 is the highest exponent . So 2 is the degree of the polynomial.
A rectangle prism has three dimension
Answer:
yes but what is your question?
Step-by-step explanation:
Answer:
A rectangular prism is a three-dimensional solid with several properties relating to its shape, volume and surface area.
Hope is that the answer u were looking for :)
PLEASE HELP ITS DUE TODAY!!
A trombone acts like an open pipe of length 2.96 m .On a cold day it plays,its 4th harmonic at 221 hz what is the speed of the sound waves in the horn that day?
Answer:
327.08 m/s
Step-by-step explanation:
Given that:
Length of pipe = 2.96m
4th harmonic frequency = 221 Hz
Speed of wave in the horn :
Speed of wave (v) = fλ
For 4th harmonic :
Wavelength, λ = (2/4)L
λ = L/2 ; 2λ = L
2λ = 2.96
λ = 2.96 / 2
λ = 1.48 m
Hence, speed of wave in the horn = 221 * 1.48 = 327.08 m/s
I'LL GIVE BRAINLIEST TO FIRST ACTUAL ANSWER AND A LOT OF POINTS TO THE REST JUST HELP ME OUT- Solve and check: ½ (c – 24) + 2/3c = 9
c = 18
c = 126
c = 1 1/6
c = 17
Answer:
its 18
I made sure to check
For each point, identify the axis or quadrant where the point is located.
Drag and drop the choices into the boxes to complete the table.
HELP PLEAASSEE!
Answer:
(0,6) ==> y-axis
(5,-2) ==> Quadrant IV
(-1,10) ==> Quadrant II
(5,0) ==> x-axis
(8.7,2.3) ==> Quadrant I
[tex]( - \frac{1}{4} \: \: \: - 6 \frac{1}{2} ) \: = = > quadrant \: iii[/tex]
Find the cost per gallon. 8 gallons of gas for $28.48.
A. $3.50
B. $3.56
C. $3.05
D. $3.65
Answer:
B. $3.56
Step-by-step explanation:
You take $28.48 and divide it by 8
28.48 / 8 = 3.56
/ = divide
Write the expression in exponential form.
3
4/16^
A)
1/4
13^
B)
3/16
4^
C)
16/3
4^
D)
3/4
16^
Answer:
B
Step-by-step explanation:
Select the correct answer from each drop down menu. City
A -10
City B -1
City C -20
City D -2
The city whose temperature is closest to 0C is _____ and the city whose temperature is farthest from 0C is ______
Answer:
b.c
Step-by-step explanation:
A bag contains 2 red marbles, 3 green marbles, and 4 blue marbles.
If we choose a marble, then another marble without putting the first one back in the blag, what is the
probability that the first marble will be green and the second will be red?
Answer:
number of green ÷ total number of marbles
times by
number of red ÷ total number of marbles left
so
(3/9) × (2/8) = (1/12)
A soda pop manufacturer runs a contest and places a winning bottle cap on every sixth bottle. If a person buys the soda pop, find the probability that the person will win for the first time on his third purchase.
Answer:
[tex]\dfrac{25}{216}[/tex]
Step-by-step explanation:
From the given information:
The probability (p) of winning a bottle cap = [tex]\dfrac{1}{6}[/tex]
The probability of not winning a bottle cap will be (q) = 1 - p
[tex]= 1- \dfrac{1}{6}[/tex]
[tex]= \dfrac{5}{6}[/tex]
Since we are told that the winning is placed once on every sixth bottle
Then the required probability = P( of not winning the first purchase) × P( of not winning the second purchase) × P( of winning the third purchase)
[tex]= \dfrac{5}{6} \times \dfrac{5}{6} \times \dfrac{1}{6}[/tex]
[tex]= \dfrac{25}{216}[/tex]
What is the coefficient of y in the expression 3-6 + 4y?
(1 point)
3
4
10
18
no trolls i need help asap please!!!
Answer:
These triangles cannot be proven congruent
Step-by-step explanation:
The 3 angles in ∆FGH are congruent to the 3 corresponding angles on ∆ABC.
These mean that the two triangles have the same shape and we can conclude that they are similar to each other.
However, knowing just the 3 angles is not enough to prove that both triangles are congruent to each other. This is because, for two triangles to be congruent to each other, all 3 angles and 3 sides of one triangle must be congruent to the corresponding 3 angles and 3 sides of the other. That is, they have the same shape and size.
Therefore, the triangles given above cannot be proven congruent.
Given the points A(3, -8) and B(1, 2), what is the approximate length of AB?
O 10.2
O 6.3
O 10.8
O 7.2
O 12.2
Answer:
[tex]d \approx 10.2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point A (3, -8)
Point B (1, 2)
Step 2: Find distance d
Substitute [DF]: [tex]d = \sqrt{(1-3)^2+(2+8)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-2)^2+(10)^2}[/tex]Exponent: [tex]d = \sqrt{4+100}[/tex]Add: [tex]d = \sqrt{104}[/tex]Simplify: [tex]d = 2\sqrt{26}[/tex]Evaluate: [tex]d = 10.198[/tex]Round: [tex]d \approx 10.2[/tex]Answer:
10.2
Step-by-step explanation:
Find the value of the x in the equation 4(6x-9.5)=46
Answer:
X= 3.5
Step-by-step explanation:
4(6x-9.5)=46
24x-38=46
X=3.5
If u steal point i report
Answer:
Y:4 X:540
Step-by-step explanation:
Answer: first divide so you make it one and then you multiply hope that helps
Step-by-step explanation: then you can add them to get by one then multiply
If a square has the sides of 6 cm then how far will it be from one corner of the square to the opposite corner?
Answer:
8.5 cm
Step-by-step explanation:
We know that the square has side lengths of 6cm. To calculate the distance from one corner of the square to the opposite corner, we are calculating the diagonal of the square.
Along the diagonal is where the square gets split in half into two right triangles. The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where c is the longest side of a right triangle and a and b are the other two sides.
To find the length of the square's diagonal, we essentially need to calculate c, the longest side of the triangles. We can do this by plugging 6 into the equation as a and b.
[tex]a^2+b^2=c^2\\6^2+6^2=c^2\\36+36=c^2\\72=c^2\\\sqrt{72} =c[/tex]
[tex]8.5[/tex] ≈ [tex]c[/tex]
Therefore, it will be approximately 8.5cm from one corner of the square to the opposite corner.
I hope this helps!
Out of the 482 employees at the Coca-Cola plant, 37 are taking vacation next week. What percentage of employees are NOT vacationing?
Answer:
92.32%
Step-by-step explanation:
482-37=455 (not vaationig)
445/482=0.9232
0.9232*100=92.32%
PLZ HELP WILL GIVE BRAINLEST
Answer:
it's the fourth one i did that assignment aswell
If u steal point i report
Answer: the 2 on the right
Step-by-step explanation:
What is the constant of proportionality between y and x in the graph
Answer:
5.1
Step-by-step explanation:
a line has a slope of -1/2 and a y-intercept of -2. what is the x-intercept of the line?
Answer:
-4
Step-by-step explanation: