Answer:
Multiply the number of inches on the map times the scale to determine the true distance. For example, if the distance on the map was 5.5 inches and the scale was 1:6,336,000, the true distance would be 550 miles. To convert an area, convert the dimensions using the scale and then find the true area.
∠A and angle∠B are vertical angles. If angle ∠A=(3x−8) and angle ∠B=(4x−17) then find the value of x.
9514 1404 393
Answer:
x = 9
Step-by-step explanation:
Vertical angles are congruent, so ...
∠B = ∠A
4x -17 = 3x -8
x = 9 . . . . . . . . . . . add 17-3x to both sides
x = 9
Step-by-step explanation:
In the question we have given that ∠A and angle∠B are vertical angles. And the value of angle ∠A = ( 3 x - 8 ) and angle ∠B = ( 4 x - 17 ).
Finding the value of x∠B = ∠A. (Both are vertical angle so, both are equal to each other).
Substitute the values
4 x - 17 = 3 x - 8
Add 17 - 3 x to each side
4 x - 17 + 17 - 3 x = 3 x - 8 + 17 - 3 x
combine like terms
4 x + 0 - 3 x = 3 x - 3 x - 8 + 17
x = 0 + 9
x = 9
Which of the following is the point-slope form of the equation
with slope 3 that goes through the point (4, 2)?
B.
A. y + 4 = 3(x + 2)
y + 2 = 3(x + 4)
C. y - 4 = 3(x - 2)
D. y - 2 = 3(x – 4)
Answer:
y -2 = 3(x-4)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y -2 = 3(x-4)
Need help i’m struggling
Answer: 50 degrees
=============================================================
Explanation:
There's a lot of filler and visual distraction going on here. We only need to focus on the points H, C and E. Also, we need to focus on the circle as well. The other stuff is stuff we can ignore.
We're told that angle HCE is 50 degrees. This is a central angle that subtends, or cuts off, arc HE. By definition of arc measures, arc HE is also 50 degrees.
There's not much else to this problem to be honest.
8x - (2x - 13) = 42
solve and check the equation
Answer:
x = 29/6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
8x - (2x - 13) = 42
Step 2: Solve for x
[Distributive Property] Distribute negative: 8x - 2x + 13 = 42[Subtraction] Combine like terms: 6x + 13 = 42[Subtraction Property of Equality] Subtract 13 on both sides: 6x = 29[Division Property of Equality] Divide 6 on both sides: x = 29/6Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 8(29/6) - [2(29/6) - 13] = 42Multiply: 116/3 - [29/3 - 13] = 42[Brackets] Subtract: 116/3 - -10/3 = 42Subtract: 42 = 42Here we see 42 does indeed equal 42.
∴ x = 29/6 is the solution.
Answer:
x = 29/6
Step-by-step explanation:
solve for x.
8x - ( 2x - 13 ) = 42
distribute minus sign
8x - 2x + 13 = 42
combine like terms
6x + 13 = 42
subtract 13 from both sides
6x + 13 - 13 = 42 - 13
6x = 29
Divide each side by 6
6x / 6 = 29 / 6
x = 29 / 6
Check the equation :
8x - ( 2x - 13 ) = 42
substitute the value of x in equation
8 ( 29/6) - ( 2(29/6) - 13) = 42
reduce the number with the greatest common factor 2
4 × 29 /3 - ( (29/3) - 13) = 42
calculate the product
116/3 - ( 29/3 - 13 )= 42
calculate the difference
116/3 -( -10/3 )= 42
change the sign
116/3 + 10/3 = 42
add the fractions to get 42.
42 = 42
Hence, verified.
What is the measure of ABC?
O A. 130°
B. 260°
с
50"
C. 1000
D. 3100
SUBMIT
Answer:100 degrees
Step-by-step explanation: Multiply 50 by two by in inscribed angle therom.
ABC is 100
What is central angle of an arc?The central angle that creates the intercepted arc's central angle, or the arc measure, is expressed in degrees. Arc length can be estimated as a percentage of the circle's circumference by multiplying the circle's diameter by the arc length, divided by 360.
θ = arc* 2
θ = 50*2 = 100
To learn more about arcs refer to:
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Select the correct answer.
The parent function f(x)= 3/x
is transformed to g(x) = f(x + 2) - 4. Which is the graph of g?
The required value of function g is (-4x - 5)/(x+2) and graph is shown below.
What is parent function?The parent function of a function is the simplest form of the function, which satisfies all the conditions of the given function.
Given that,
Parent function f(x) = 3/x,
And function g(x) = f(x + 2) - 4.
To find the graph of function g(x), first determine the value of function g(x),
Substitute x = x+2 in function f(x), to determine g(x),
g(x) = 3/(x+2) -4
= 3-4(x+2)/x+2
= 3 - 4x - 8/(x + 2)
= (-4x - 5)/(x+2)
The required function g(x) is (-4x - 5)/(x+2) .
The graph of function g(x) is shown below.
To learn more about Parent function on:
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I Really Need Help Please
Answer:
The answer is B
Step-by-step explanation:
Two-thirds of a number is nineteen.
Answer:
28.5
Step-by-step explanation:
X*2/3=19, X=19/(2/3)=57/2=28.5
Answer:
The number is 28.5
Step-by-step explanation:
Let the number be x
Two - third of the number is 19 means
[tex]\frac{2}{3} \ of \ x = 19[/tex]
Solve for x
[tex]\frac{2}{3} \times x = 19\\\\2 \times x = 19 \times 3\\\\x = \frac{19 \times 3}{2} = 28.5[/tex]
PLS ANSWER THIS PLS PLS
Answer:
the picture can't clean. so I can't solve the problem
Answer:
I will go with (C)
Step-by-step explanation:
So the interior angle of a 9 -sided polygon is 140 °. We can see that x and one interior angle lie on the same side of a straight line, so their sum must be 180 °. So x = 180 ° − 140 °, or x = 40 °. The correct answer is 40 °. Hope this helps!
Alex wants to arrange chairs in such a way that the number of chairs in a row is equal to the number of the columns.He has ordered 5100 tables.
a)How many more tables needed to arrange in such a way that he planned? Justify your answer
b)How many chairs can he remove to arrange in a way that he wants? Justify your answer.
Answer:
84
59
Step-by-step explanation:
In other to have the same number of chayes in both rows and columns ;
If the Number of chairs per row = x ; then number of chairs per column = x
Then the total number of chairs needed = x * x = x²
Hence, if there are 5100 chairs ;
Number of chairs needed more ;
Take the square root of 5100 ;the round to the next whole number :
B.) For number of chairs to be removed ;
Take the square root of 5100 and round down to the whole number.
Hence,
A.) = √5100 = 71.414 = 72
72² - 5100 = 84
B.) 5100 = 71.414 = 71
5100 - 71² =
If the feasible region for a linear programming problem is unbounded, then the solution to the corresponding linear programming problem is ________ unbounded. Group of answer choices never always sometimes There is not enough information to complete this statement.
Answer:
Sometimes
Step-by-step explanation:
Constraint
This is regarded as issues/inequalities that is perculiar to the feasible region in a linear-programming problem.
Feasible region
This is simply known as the set of points that answers to(satisfy) the constraints found in a linear-programming problem.
Feasible Solutions is simply equals to solutions that meets all the constraints requirements.
Feasible Region is simply known as the shaded region that is usually called the feasible solution region. It feasible solution point is regarded as any point on or within the boundary of the feasible region.
Optimal Solution for a Linear Programming Problem
Due to the fact that feasible solution gives the best possible value of the objective function, the steps taken includes evaluation of the objective function for each feasible solution and selection of an arbitrary value for profit contribution and knowing all the feasible solutions.
Jack works eight hours each day. He is paid £6.50 per hour. He shares his wages with Kim in the ratio Jack : Kim = 4 : 1 Jack saves his share. How many working days will it take Jack to save £1040?
Answer:
25 days
Step-by-step explanation:
6.50 x 8 = 52
52 ÷ 5 = 10.4
10.4 × 4 = 41.6
1040 ÷ 41.6 = 25
HELP PLSS I WILL GIVE BRAILNLYEST
Answer:
t = 7
Step-by-step explanation:
There are 7 t's on the left side
7t = 49
Divide by 7
7t/7 = 49/7
t = 7
What is the x-intercept of f (x) = x^2– 10x + 25? ?
Step-by-step explanation:
The X- intercept : (5,0)
Answer:
x = 5 , as coordinates (5,0)
Step-by-step explanation:
We have to solve the associated equation
x^2 - 10x + 25 = 0
(x-5)^2 = 0
x = 5 (double solution)
which function is the inverse of f(x)=2x+3?
f^1(x)=-1/2x-3/2
f^-1(x)=1/2x-3/2
f^-1(x)=-2x+3
f^-1(x)=2x+3.
1)The base of a triangular prism is a right triangle with a base of 20 feet and a height of 120 inches. The height of the prism is 5 feet. What is the volume of the prism, in cubic feet?
2)Jake has a shipping box with the following dimensions.
Answer:
?
Step-by-step explanation:
i font know what to say to arrange
Consider the expression (5 – 81) V-81 + 5.
Step-by-step explanation:
here is your answer
here is your answer
If v = 35 , a = 4 , t = 5 and v = u + a t , evaluate u .
v = u + at
=> 35 = u + (4×5)
=> 35 = u + 20
=> 35 - 20 = u
=> 15 = u
Step-by-step explanation:
v = u + a t
35=u+ 4(5)
35-20=u
u=15
PLEASE HELP ASAP!!!
WILL MARRK BRAINLIEST
Answer:
D
Step-by-step explanation:
Have a nice day :)
40 people were sunbathing on a beach. 28 people were wearing a hat, 20 people were wearing a hat and sunscreen, and 3 people were wearing neither a hat or sunscreen
1. place this information on a venn diagram
Answer:
Kindly check attached picture
Step-by-step explanation:
The total Number of people = 40
Number wearing hat only = number wearing Number wearing hat - (sunscreen and hat)
28 - 20 = 8
Number wearing sunscreen only :
40 - (8 + 20 + 3)
40 - 31
= 9
Kindly find completed venn diagram below.
What is the measure of the smallest interior angle of the hexagon shown?
=========================================================
Explanation:
We have n = 6 sides, so the interior angles must add to 180(n-2) = 180(6-2) = 720 degrees
Lets add up the angles, set the sum equal to 720 and solve for x
x+2x+115+2x+115+2x = 720
7x+230 = 720
7x = 720-230
7x = 490
x = 490/7
x = 70
This makes angle 2x = 2*70 = 140 degrees
We see that x = 70 is the smallest angle, so that's why C is the answer.
FIND X
-------------------------------------------------------------------------------------------------
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Answer:
x = (10√3)/3 ≈ 5.7735 m
Step-by-step explanation:
The 30°-60°-90° right triangle is one of the "special" right triangles, so you know its side ratios are ...
BC : AB : AC = 1 : √3 : 2
Then ...
x = BC = AB/√3 = (10 m)/√3 = (10√3)/3 m ≈ 5.7735 m
Use mapping notation to describe a translation up 8 units.
A. (x,y) → (x 8, y-8)
B. (x,y) → (x,y+8)
C. (x,y) = (x+8, y+8)
D. (x,y) → (x+8, y)
Give Another name for Plane P
7. The points P(2, -3), Q(3, -2) and R(8, z) are
collinear, i.e. they lie on a straight line. Find the
value of z.
Answer:
z = 3
Step-by-step explanation:
Since the points are collinear then the slopes between the points are equal.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)
m = [tex]\frac{-2+3}{3-2}[/tex] = 1
Repeat with
(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )
m = [tex]\frac{z+2}{8-3}[/tex] = [tex]\frac{z+2}{5}[/tex] , then
[tex]\frac{z+2}{5}[/tex] = 1 ( multiply both sides by 5 )
z + 2 = 5 ( subtract 2 from both sides )
z = 3
Find each missing length to the nearest tenth.
9514 1404 393
Answer:
6.7
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.
x^2 = 6^2 +3^2 = 45
x = √45 ≈ 6.7
The missing side length is about 6.7 units.
Answer:
The missing side length s 6.7 units.
Step-by-step explanation:
hope it helps
Find the value of x.
Answer:
9 sqrt(2) /2 = x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hypotenuse
sin 45 = x /9
9 sin 45 = x
9 sqrt(2) /2 = x
WILL MARK BRAINLIEST!!!
PLEASE HELP!!!
Solve for X.
Multiple choice!
Thank you!
Answer:
-8
Step-by-step explanation:
1) Total sum of all angles on a traingle is 180.
2) 65+40=105
3)180-105=75
4) -8+83=75
Answer:
x=-8 degree
Step-by-step explanation:
65 + 40 + x + 83 = 180 degree (sum of interior angles of a triangle)
188 + x = 180
x= 180 - 188
x=-8 degree
Which product is positive?
(1) (1943)-3)
(13)04-1)-4)
O
5
3
Answer:
El 5 y el 3
Step-by-step explanation:
La primera y la segunda saldrá un negativo ya que hay un negativo y con eso nunca saldrá positivo.
La tercera es 0, no es positivo ni negativo
La cuarta y quinta es positivo
Аними виг виринт от главнини вина и
Four times the summ plus 10" is 34, What is the
value of n?
Multiply (n + 10) bym,
49 * 10) = 34
? nie
? = 34
DOWE
Answer:
6
Step-by-step explanation:
Из 34 вы вычитаете 10, потому что это значение уже известно, осталось 24, вы делите его на 4, потому что это количество значений (или чисел), которые у вас есть, и это 6, я надеюсь, что это поможет вам с приветствием из Мексики
