Step-by-step explanation:
18. SAS
side- angle- side
19. SSS
three proportional sides
20.The mid-segment SR of triangle, which joins the midpoints of two sides of triangle, is parallel to the third side of the triangle and half the length of that third side of the triangle.
So s the sides of triangle SFR and GFH are proportional.
21.AAA
two pairs of corresponding angles are congruent and angle B is common.
22.they are not similar because pairs of corresponding angles are not congruent.
96 is not equal to 97 also even not proportional.
23.
x=10
explanation:sides are proportional
26/13=2
so
22/2=11 and 11=2x-9 2x=11+9=20 x=20/2=10
24.
x=11
Because it is given that each pair is similar then we have proportional sides but FM=MG=20 so
LM=MK
50=4x+6
4x=44
x=11
Denise lives in a two-story house with a basement. The first story of the house is at ground level. The basement floor is at an elevation of −10.5 feet and the second story floor has an elevation of 12 1/4 feet. Use the absolute value of each elevation to find the distance between the basement floor and the second story floor.
Answer:
22.75 ftStep-by-step explanation:
Given
Elevation of basement = -10.5 ftElevation of first story = 0Elevation of second story = 12 1/4 ftThe distance between basement and second story floors:
|-10.5| + |12 1/4| = 10.5 + 12.25 = 22.75 ftYour parents took your family out to dinner Your parents wanted to give the waiter a 20% tip. If the total amount of the dinner was $42.00, What is the total price of your dinner, including the tip?
Answer:
50.4
Step-by-step explanation:
42 * 0.02 = 8.4
42 + 8.4 = 50.4
6.2 yd
8.5 yd
15.7 yd
what is the volume
Answer:
827.39 yd cubed or ^3
Step-by-step explanation:
Hope i could help
Answer:
[tex]827.39yd^{3}[/tex]
Step-by-step explanation:
The formula to find the volume of a rectangular prism is length times width times height ([tex]lwh[/tex]). So, multiply the three numbers and you’ll get [tex]827.39yd^{3}[/tex]. You always have to cube the units. So you have to cube the yd.
Hope this helps and answers your question! :)
A bus company wanted to know if the number of complaints they received was a function of the number of us is it ran the company carried out a study comparing the average number of buses per hour for different days and the number of complaints that it received on those days a line was fit to the data to model the
Answer:
The answer is "28!"
Step-by-step explanation:
In this question, the equation is "[tex]y = -4x + 42[/tex]" and the number of complaints were = [tex]28![/tex] .
Answer:
graph d
Step-by-step explanation
(if it asks which graph)
Find the solution(s) to (x- 3) = 49. Check all that apply.
OA X=-10
B. Xx=-4
C. x-7
OD. X=-7
OE. X= 10
Answer:
B.x= -4 and E. x= 10 are the answers
whats the y intercept in x + y = –3
Answer:
the y-intercept is -3
Step-by-step explanation:
x+y=3
-x -x
y=-x-3
b=-3
Answer: Slope = -2.000/2.000 = -1.000
x-intercept = -3/1 = -3.00000
y-intercept = -3/1 = -3.00000
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x+y-(-3)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve x+y+3 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+y+3 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000
y-intercept = -3/1 = -3.00000
Calculate the X-Intercept :
When y = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000
x-intercept = -3/1 = -3.00000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -2.000/2.000 = -1.000
Geometric figure: Straight Line
Slope = -2.000/2.000 = -1.000
x-intercept = -3/1 = -3.00000
y-intercept = -3/1 = -3.00000
Is this a function or not
Answer:
it is a function
Step-by-step explanation:
If α and β are zeroes of a polynomial x² + 6x + 9, then form a polynomial whose zeroes are -α and -β
Answer:
x² - 6x + 9
General Formulas and Concepts:
Algebra I
FactoringExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
x² + 6x + 9
Step 2: Find Roots α and β
Factor quadratic: (x + 3)²Find roots: α = -3, β = -3Step 3: Solve
Apply negatives: -α = -(-3), -β = -(-3)Multiply: -α = 3, -β = 3Write binomial factor: (x - 3)²Expand [FOIL]: x² - 6x + 9whats the missing number?
Answer: -0
The absolute value of any number is positive so you can say the absolute value of -0 is 0 and it’ll be true. You can also say the absolute value of 0 is 0.
2/3x = 27
Solve for x
Answer:
Step-by-step explanation:
Solve for
x
by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x
=
81
2
Decimal Form:
x
=
40.5
Mixed Number Form:
x
=
40
1
2
Answer:
x = 81/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
2/3x = 27
Step 2: Solve for x
Divide 2/3 on both sides: x = 81/2Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 2/3(81/2) = 27Multiply: 27 = 27Here we see that 27 does indeed equal 27.
∴ x = 81/2 is the solution to the equation.
Please help I need the answer soon!!!!!!
Answer:
The measure of angle two is 47 degrees (first triangle), and the measure of angle four is 42 degrees (second angle)
Step-by-step explanation:
Remember that all triangles have a full measurement of 180 degees.
Since measure one is is 65 degrees, we need to add 65 and 68, which is 133 degrees.
Now we subtract 180 - 133 = 47.
The measure of angle two is 47 degrees.
Since the angle of measure three is 89 degrees, we need to add 89 + 49, which is 138 degrees.
180 - 138 = 42.
The equation below describes a proportional relationship between x and y. What is the constant of proportionality? y = 2/9x
====================================================
Explanation:
The equation y = (2/9)x is in the form y = kx
In this case, k = 2/9.
The value of k is the constant of proportionality.
All direct proportion equations are in the form y = kx. Their graphs go through the origin. The slope of the line is the same as the constant of proportionality.
The sum of two numbers is 60. The larger number is 20 more than the smaller number. What are the numbers? Larger number: Smaller number:
X^3 = 1,000
algebratic equations
Answer:
10
Step-by-step explanation:
x³=1000
x=3√1000
x=10
Answer:
x = 10 or x = -5 + 5*i*sqrt(3) or x = -5 - 5*i*sqrt(3)
Step-by-step explanation:
x^3 = 1000
x^3 - 1000 = 0
(x - 10)(x^2 + 10x + 100) = 0
x = 10 or x^2 + 10x + 100 = 0
x = 10 or x^2 + 10x + 25 = -100 + 25
x = 10 or (x + 5)^2 = -75
x = 10 or x + 5 = sqrt(-75) or x + 5 = -sqrt(75)
x = 10 or x = -5 + 5*i*sqrt(3) or x = -5 - 5*i*sqrt(3)
What is the range of the function f(x)=2x−4 when the domain is {-3, 0, 4}?
I found: Domain: all real x ; Range: all real y
3(23−2v)+3v=48
what is v?
Answer:
v=7
Step-by-step explanation:
my previous answer was incorrect, my bad
Answer: v=-7
Step-by-step explanation:
3(23−2v)+3v=48
Distribute:
69-6v+3v=48
Combine like terms:
-6v+3v=-3v
69-3v=48
Subtract 69 on both sides:
69-69-3v=48-69
-3v=-21
Divide 3 on both sides:
-3v/3=-21/3
v=-7
Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with standard deviation 5 grams. How many mice must be weighed so that a 95% confidence interval will have margin of error of 0.6 grams?
Answer: n = 267
Step-by-step explanation: Margin of Error shows the percentage that will differ the result you get from the real population value or, in other words, is the range of values in a confidence interval.
It can be calculated as
margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]
in which
z is z-score related to the confidence interval, which is this case is 1.96;
s is standard deviation;
n is the number in a sample;
So, the number of mice must be:
margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]
[tex]0.6=1.96\frac{5}{\sqrt{n} }[/tex]
[tex]\sqrt{n}=\frac{1.96*5}{0.6}[/tex]
[tex]\sqrt{n}=16.33[/tex]
n = 267
For the margin of error with 95% confidence interval be 0.6, it is needed 267 mice.
The total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267 and this can be determined by using the formula of margin of error.
Given :
Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with a standard deviation of 5 grams.95% confidence interval.The formula of margin of error can be used in order to determine the total number of mice. The formula of margin of error is given by:
[tex]\rm MOE = z\dfrac{s}{\sqrt{n} }[/tex]
where z is the z-score, s is the standard deviation, and n is the sample size.
Now, substitute the known values in the above formula.
[tex]\rm 0.6 = 1.96\times \dfrac{5}{\sqrt{n} }[/tex]
Simplify the above expression in order to determine the value of 'n'.
[tex]\rm n =\left(\dfrac{1.96\times 5}{0.6}\right)^2[/tex]
n = 267
Therefore, the total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267.
For more information, refer to the link given below:
https://brainly.com/question/20982963
Circle D was dilated to form circle D prime. The diameter of circle D is 5 units and the diameter of circle D prime is 15 units. What is the relationship between the areas of circle D and circle D prime?
Answer:
A' = 9AStep-by-step explanation:
Area formula:
A = πd²/4Area of circle D:
A = π(5²)/4= 25/4πArea of circle D'
A' = π(15²)/4 = 9*25/4π = 9ARequired relationship:
A' = 9AFind the area of a circle with a circumference of 31.4 yards.
Answer:
A = 78.46 square yards
Step-by-step explanation:
A = (C^2)/4π
A = ((31.4 )^2)/4π
A = 78.46
hope this helps, pls mark brainliest :D
Answer:
your answer is going to be 3097.48
une entreprise a dépensé en tout 14 400e en 2001 pour l'entretien de ses voitures a. recopier et compléter le tableau ci-dessous. b. calculer la dépense moyenne pour l'entretien d'une voiture. c. les dépense d'entretien ont été représentées dans le diagramme circulaire ci-contre, mais la légende a été effacée. rétablir cette légende.
a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.Answer:
Step-by-step explanation:
a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.
I’ll mark you brainlist I’ll mark you brainlist
Answer:
Step-by-step explanation:
Slope of the line =3\2
Answer:
its -0.67
Step-by-step explanation:
i typed it into my algevra calc
PLEASE HELP! If I add five to a mystery number and then multiply the result by two, I get twenty four. Write an equation to solve for the mystery number, solve the equation and then check your answer.
Answer:
The mystery number is 7
Step-by-step explanation:
This is a very easy problem.
let the mystery number=x
2(x+5)=24
2x+10=24
2x=24-10
2x=14
x=7
To check the answer,
Add 5 to 7=12, multiply by 2=24
Dr. K went from grading 20 papers a day to 30. What is the percent of change
Answer:
150% increase
Step-by-step explanation:
30 divided by 20 is 1.5
If –2 and –5 are the roots of the equation ax + bx + 20 = 0, find the values of a and b.
Answer:
a=2
b=14
Step-by-step explanation:
Step-by-step explanation:
a=2b=14.................
The bake sale sold pies for $5.99 each and cakes for $9.99 each. The total number of pies and cakes sold was 25 for $189.75.
Answer:
profit 40 dollars
Step-by-step explanation:
Find the slope of 6x – 3y = 5
Answer:
slope is 2
Step-by-step explanation:
simplify this equation so that you can get to "y ="
your equation is: 6x - 3y = 5
start by subtracting 6x from both sides: -3y = -6x - 5
then divide both sides by -3 to isolate y: y = 2x - 5/3
so now we can clearly see that the slope is 2, since that is what is right next to x
How many adult tickets were sold if each adult ticket sold was $6 and each student ticket was $4.50 and 260 tickets were sold for a total of $1404?
Answer:
Adult tickets sold: 156
Step-by-step explanation:
Adult ticket: x
Student ticket: y
x + y = 260 ===> -6(x + y = 260) ===> -6x -6y = -1560
6x + 4.5y = 1404 ===> 6x + 4.5y = 1404
________________
add the two equations to eliminate a variable: -1.5y = -156
divide by -1.5: y = 104
substitution to find x:
x + y = 260
x + 104 = 260
x = 156
Graph y=3x+2.
It's for math and I need h e l p
plz help in to cool bro
"Nine less than four times a number is greater than seventeen." Which inequality is a correct translation of this statement?
Hi, you didn’t post answer choices but this should be it:
4x - 9 > 17