Answers
Answer:
x = 21
Step-by-step explanation:
5x + 15 = 2x + 78
3x = 63
x = 21
Answer:
x = 21°
Step-by-step explanation:
As corresponding angles in parallel lines are equal,
5x + 15 = 2x + 78
And now let us solve for x.
5x + 15 = 2x + 78
5x + 15 - 2x = 78
3x + 15 = 78
3x = 78 - 15
3x = 63
Divide both sides by 3.
x = 21°
Related Questions
WILL GIVE BRAINLIEST PLS HELP
Table 101 х 30 5080 y 10 18 25 9 from "Table 101" To evaluate the fit of a model, the absolute values of the deviations (differences between the actual data values and values predicted by the model) are added together. Order the models based on the these total deviations. Place the model with the smallest total absolute deviation on top. y = 0.4x - 2 = - y = 0.3x + 2 y = 0.3x + 1
Answers
Answer:
We can determine that Option A, y = 0.4x - 2 is the correct answer
Step-by-step explanation:
Step 1: Plug in 30 into the x-value to see if the y-value matches
Equation 1 --> y = 0.4(30) - 2 = 10
Equation 2 --> y = 0.3(30) + 2 = 11 <-- WRONG Y-VALUE
Equation 3 --> y = 0.3(30) + 1 = 10
Step 2: Plug in 50 into the x-value to see if the y-value matches
Equation 1 --> y = 0.4(50) - 2 = 18
Equation 3 --> y = 0.3(50) - 2 = 13 <-- WRONG Y-VALUE
Answer: We can determine that Option A, y = 0.4x - 2 is the correct answer
please help!!! asap!!!
show all the steps that you use to solve this problem in the space provided
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
Answers
Answer:
x = 11 cos 22 = 11 * .927 = 10.2
Find the value of z.
Answers
Answer:
6√2=z
Step-by-step explanation:
As we are given a right angle we simply can apply the formula a²+b²=c².
A = 3
B = z
C = 8+1 which we add to get 9
Now, we plug this into the equation
9²=z²+3²
81=z²+9
72=z²
√72=z
√2x2x2x3x3 (expanding 72)
6√2=z
Pls hurry and help me pls.
Answers
The endpoints of CD are (-2,-4) and D(6,2). What are the coordinates of the midpoints of CD
Answers
Answer:
(2,-1)
Step-by-step explanation:
[tex]midpoint = ( \frac{ - 2 + 6}{2} , \frac{ - 4 + 2}{2} ) \\ [/tex]
[tex]midpoint = ( \frac{4}{2} , \frac{ - 2}{2} ) \\ [/tex]
[tex]midpoint = (2, - 1)[/tex]
2 1/2 * 7 7/3 *- 5 3/7
Answers
Answer:
-126.66
Step-by-step explanation:
£££££££££££££₩₩₩¥₩₩
PLEASE HELP!! I NEED HELP ON MY MATH
Answers
Answer:
750 and 3.125
Step-by-step explanation:
a = 750
b= 3.125
Which rational number is equivalent to 0.86?
Answers
[tex]0.86\\\\=\dfrac{86}{100}\\\\=\dfrac{43}{50}[/tex]
On the last day of vacation, the Hernandez family drove 252 miles from a state park to their home. That drive covered 35% of the total distance the family traveled during their vacation. What is the total distance the Hernandez family traveled during their vacation
Answers
Answer:
720 miles
Step-by-step explanation:
We are given a distance and a fraction of the total that it represents. This lets us write the relation ...
252 = 0.35D . . . . . . where D is the total distance traveled
252/0.35 = D = 720 . . . . divide by the coefficient of D
The Hernandez family traveled 720 miles during their vacation.
A 17-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 10 feet from the base of the building. How high up the wall does the ladder reach?
Answers
Answer:
13.747... meters
Step-by-step explanation:
Refer to image attached~
Let AC represent the length of the ladder.Let BC represent the distance from the base of the ladder from the base of the building.Let AB (x) represent the height of the building.In this case, the longest side of the triangle formed is AC. Thus, our hypotenuse is AC (17 m).
To determine the height of the building, we need to use pythogoras theorem.
Pythogoras theorem: (Hypotenuse)² = (Side)² + (Side)²
⇒ (17)² = (10)² + (x)²⇒ 289 = 100 + (x)²⇒ 289 - 100 = (x)²⇒ 189 = (x)²Take square root both sides:
⇒ √189 = √(x)²⇒ x = √189 ≈ 13.747... metersAnswer:
13.75 ft (nearest hundredth)
Step-by-step explanation:
The ladder creates a right triangle with the wall and ground, where:
leg (base) = groundleg (height) = wallhypotenuse = ladderPythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 10 ftc = 17 ftSubstitute the given values into the formula and solve for b:
⇒ 10² + b² = 17²
⇒ b² = 17² - 10²
⇒ b² = 289 - 100
⇒ b² = 189
⇒ b = ±√(189)
As distance is positive, b = √(189) ft only
Therefore, the ladder reaches 13.75 ft (nearest hundredth) up the wall.
3k^2+12k-7kn-28n square meters and a length of 3k-7n meters.
What expression represents the width of the rectangle?
Answers
Step-by-step explanation:
here ! I used the formula area = length × width
and just some algrbric expressions solving
Which is more, 6 quarts or 26 cups?
Answers
Answer:
26 cups
Step-by-step explanation:
24 cups is 6 quarts, 25 cups is 6.25 quarts, and 26 cups is 6.5 quarts.
Therefore, 26 cups = 6.5
6.5>6
26 cups is larger than 6 quarts.
In ms Perron's class,75% of the students are boys.There are 18 boys in the class.What us the total number of students in ms. Perrons class
To solve this you first have to find your missing percentage 25%
something you can do is find the pattern that there is 75% is 3/4 of 100 so you could find what 25 %is worth out of 18 so 18/3=6.Now that you have found your 25% all you have to do is add the amount of boys to girls so 18+6=24 and you have your answer.
Answers
There are 24 students in the class in which 75% of the students are boys (18 boys)
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the total amount of students in the class.
75% of the students are boys.There are 18 boys in the class, hence:
0.75x = 18
x = 24
There are 24 students in the class in which 75% of the students are boys (18 boys)
Find out more on equation at: https://brainly.com/question/2972832
Which will result in a difference of squares? (negative 7 x 4)(negative 7 x 4) (negative 7 x 4)(4 minus 7 x) (negative 7 x 4)(negative 7 x minus 4) (negative 7 x 4)(7 x minus 4)
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The expression that will result in the difference in the squares is (7x+4)(7x-4).
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The difference between the squares can be written as,
[tex]a^2-b^2=(a+b)(a-b)[/tex]
The expression that will result in the difference in the squares will be
[tex](7x+4)(7x-4)=(7x)^2-(4)^2[/tex]
Thus, the expression that will result in the difference in the squares is (7x+4)(7x-4).
Learn more about Expression:
https://brainly.com/question/13947055
Answer the questions below based on the two quadratic functions.
Answers
Answer:
The vertex of Function 2 is at (2,7)
The function that has the smaller minimum value is Function 1
The smaller minimum value is 3
Step-by-step explanation:
hope this helps :)
im stuck please help
Answers
Answer:
it's 720
Step-by-step explanation:
6x10=60x12=720
Transversal Problems with Equations (Level 1)
Delta Math
Answers
Answer:
x = 15
Step-by-step explanation:
Where a transversal crosses parallel lines, alternate exterior angles are congruent. This lets you write an equation relating the measures of the marked angles.
__
(6x +8)° = (7x -7)° . . . . the angles have the same measure
15 = x . . . . . . . . . . . . divide by °, add 7-6x
30. Tina went to batting cages with $20. She rented a bat for $3. 25 and
paid $3 for each round. What was the greatest number of rounds Tina
could have played?
Answers
Answer:
5
Step-by-step explanation:
Tina started with $20, but had to spend $3.25 on the bat.
$20-$3.25 = $16.75, which is all she has left for rounds.
Each round costs $3.00
$16.75 divided by $3.00 comes out to 5.58 rounds, but since she can't play 1/2 a round, that means she could only play 5 rounds
5 rounds X $3.00 per round comes to $15.00
Gavin has 300 pencils
15% of the pencils need to be sharpened
Work out how many pencils need to be sharpened
Answers
Answer:
45 pencils
Step-by-step explanation:
15%/100% ×300
15% ×3
=45 pencils that needed to be sharpened and it is at easy as that
15% of 300 =
10%= 30
5%= 15
30+15 = 45
45 pencils need to be sharpened
A square prism has a height of 12 inches and a base with an area of 30 square inches. A cylinder is inscribed inside the prism. Which statement about the volume of the cylinder, V, is true?
Answers
The volume of the cylinder (282.74 in.³) is less than the volume of the square prism (360 in.³). Then the correct option is C.
What is a rectangular prism?A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A square prism has a height of 12 inches and a base with an area of 30 square inches.
A cylinder is inscribed inside the prism.
The volume of the square prism will be
[tex]V_{square} =Base[/tex] [tex]area*Height[/tex]
[tex]V_{square}=30*12[/tex]
[tex]V_{square} =360[/tex] [tex]in^3[/tex]
The volume of the cylinder will be
[tex]V_{cylinder}=\pi r^2h[/tex]
The radius of the base circle of the cylinder will be
[tex]r=\frac{\sqrt[]{30}}{2}[/tex]
[tex]r=2.7386[/tex]
Then volume will be
[tex]V_{cylinder}=\pi *(2.7368)^2*12[/tex]
[tex]V_{cylinder}=282.74[/tex] [tex]in^3[/tex]
The volume of the cylinder (282.74 in.³) is less than the volume of the square prism (360 in.³). Then the correct option is C.
More about the rectangular prism link is given below.
https://brainly.com/question/21308574
Which table contains input-output values of the function y = 2x - 7?
Answers
Answer:
The input-ouput is B.
Step-by-step explanation:
By plugging in 3, -4, and 5 into the x-values of the equation [tex]f(x)=2x-7[/tex] you provided you get
[tex]f(3) = 1 , f(-4) = -15 , f(5) = 3[/tex]
True or False: You can use the Pythagorean Theorem to determine if a triangle is a right triangle or not.
Answers
Answer:
True
Step-by-step explanation:
Definitely true. If the shorter legs of the given triangle are a and b and the longest side is c, then if a^2 + b^2 = c^2, the triangle is a right triangle. Otherwise it is not a right triangle.
The line segment reflects across the x-axis. What are the new coordinates for the endpoints? How does the transformation affect the length of the line segment?A) (−4, −8) and (4, 1); The length of the segment does not change.B) (−4, −8) and (−4, −1); The length of the segment does not change.EliminateC) (4, −8) and (−4, 1); The transformed segment is longer.D) (4, 8) and (4, 1); The transformed segment is shorter.
Answers
Answer:
The length does not change
Step-by-step explanation:
Only dilations will change the size of something, the line is just changing locations. because it is across the x axis, apply the rule
x,-y
-4, -8
4, 1
What’s the answer????
Answers
Answer:
5
Step-by-step explanation:
Consider the following 8 numbers, where one labelled
x
is unknown.
48
,
9
,
29
,
x
,
5
,
32
,
22
,
5
Given that the range of the numbers is 63, work out 2 values of
x
Answers
Answer:
Step-by-step explanation:
48 + 9 + 29 + x + 5 + 32 + 22 + 5 = 63
by adding all numbers except x, we get
150 + x = 63
x = 63 - 150
x = - 87
x^2-y^2=16
y^2=-x+4
I need help to solve the system of equations
Answers
Please brainlist
If you borrow $100 for 3 years at an
annual interest rate of 9%, how
much will you pay altogether?
Answers
Answer:
$127
Step-by-step explanation:
[tex]i = \sf \frac{prt}{100} [/tex]
=> 100 × 3 × 9/100
=> 3×9 = 27
Total amount= 27 + 100
=> 127
Answer :-- $127
Find The Mode Of The Data 2, 4, 5, 6, 7, 2, 3, 4.
Answers
Answer:
2 and 4 is repeated mode of the data
Answer:
2 and 4
Step-by-step explanation:
The mode is the value of highest frequency in the data set2 and 4 each repeat twice whereas all other numbers only appear once2 and 4 are the modeFish weighs 135 pds the scale has error of up to 5%. What is the answer
Answers
5. The equation y=3/2 is rotated 180° around the origin. What is the equation of the image line?
Answers
Answer:
(d) y' = 3/2x
Step-by-step explanation:
The transformation for rotating a figure 180° about the origin is ...
(x, y) ⇒ (-x, -y)
__
Given the line ...
y = 3/2x
The translation of it is ...
-y' = 3/2(-x)
Simplifying gives ...
y' = 3/2x
_____
Additional comment
Rotation 180° about the origin is equivalent to reflection across the origin. For a line that passes through the origin, that reflection is simply the original line, as we can see in the equations above.