A flowchart proof is a visual representation of logical steps used to prove a mathematical statement or theorem.
It involves breaking down the proof into a series of connected statements and reasons, organized in a flowchart format.
Each statement is supported by a reason or justification, demonstrating the logical progression of the proof. Flowchart proofs provide a clear and structured way to present mathematical arguments, allowing for easy comprehension and verification of the proof's validity.
They help in identifying key steps, dependencies, and the overall structure of the proof, making it easier to follow and understand the reasoning behind mathematical statements.
Learn more about flowchart here
https://brainly.com/question/34362549
#SPJ6
What is the area of the pentagon shown?
Answer:
The area of the pentagon is: 354
Step-by-step explanation:
First draw two auxillery lines in the upper left hand corner to make a rectangle, and a right triangle.
Now that we have a rectangle we can find its area:
18·20=360
To find the lengths of the triangle sides:
20-16=4
18-15=3
Area of a right triangle formula: (leg a · leg b)/2
3·4=12 12/2=6
Now subtract the area of the triangle from the rectangle:
360-6=354
Answer:
354
Step-by-step explanation:
Find the slope of 3x+4y=-4
what solution does the equation |4x+7|=-3 have
The result of an absolute value function is never negative. This is because absolute value represents distance on a number line, and negative distance is not possible. Negative distance doesn't make sense.
So we don't have solutions to something like |x| = -5 or the given equation. The right hand side must be 0 or a positive number if you want to have at least one solution.
What is the solution to the equation
7(3-x)=-7(x+3)-4
Answer:
No solution
Step-by-step explanation:
21−7x=−7x−21−4
21−7x=−7x−25
21=−25
No solution
HELP WILL MARK YOU BRAINLIEST HURRY IM ON A TIME LIMIT!’
(3x+5)+(x+3)=180
4x+8=180
4x=172
x=43
3(43)+5
<PQR=134
<SQR=46
Answer:
[tex]\boxed {\angle PQR = 134\textdegree}[/tex]
Step-by-step explanation:
Both angles are Supplementary (Two angles that add up to 180°). So, write an expression using the following measurements of both [tex]\angle PQR[/tex] and [tex]\angle RQS[/tex] and 180:
[tex]\angle PQR = 3x + 5[/tex]
[tex]\angle RQS = x + 3[/tex]
[tex]3x + 5 + x + 3 = 180[/tex]
Solve:
[tex]3x + 5 + x + 3 = 180[/tex]
[tex]4x + 5 + 3 = 180[/tex]
[tex]4x + 8 = 180[/tex]
[tex]4x + 8 - 8 = 180 - 8[/tex]
[tex]4x = 172[/tex]
[tex]\frac{4x}{4} = \frac{172}{4}[/tex]
[tex]x = 43[/tex]
-After you have the value of [tex]x[/tex], use it to the expression of [tex]\angle {PQR}[/tex] to get the actual answer of [tex]\angle PQR[/tex]:
-The value of [tex]x[/tex]:
[tex]x = 43[/tex]
-Solve for the measurement of [tex]\angle PQR[/tex]:
[tex]3x + 5[/tex]
[tex]3(43) + 5[/tex]
[tex]129 + 5[/tex]
[tex]134[/tex]
-The measurement of [tex]\angle PQR:[/tex]
[tex]\boxed {\angle PQR = 134\textdegree}[/tex]
A 112-inch pipe is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
Let the smaller piece be x .
Then the larger angle will be = 3x
An equation to find the length of each of the two pieces :-
[tex]x + 3x = 112[/tex]
[tex]4x = 112[/tex]
[tex]x = \frac{112}{4} [/tex]
[tex]x = 28[/tex]
Which means :-
Length of the shorter piece = 28 inches
Length of the larger piece = 28 × 3 = 84 inches
Therefore , the length of the shorter piece = 28 inches .
!/8 pound of fertilizer covers 25 square feet of ground, how much fertilizer, in pounds, is needed to cover 1 square foot ground?
Answer:
1/200 poundsStep-by-step explanation:
Given ratio
1/8 pound ⇔ 25 square feetTo find
x ⇔ 1 square footDivide both sides by 25
1/8÷25 pounds ⇔ 25÷25 square feet1/200 pounds ⇔ 1 square footHelp Meeeeeee!!!
The scale of a town map is 1 inch to 4 miles. On the map, the park and the airport are 6 inches apart. What is the actual distance between the park and the airport?
2/3 mile
1 1/2 miles
24 miles
10 miles
Answer:
24 miles
Step-by-step explanation:
scale: 1-4
distance: 6 feet
6x4=24
HOPE THIS HELPS!!!!
Answer:
24
Step-by-step explanation:
To rent a certain vehicle, Rent-A-Ride charges $55.00 per day with unlimited miles. The cost of renting a similar vehicle at We Got Wheels is $38.00 per day plus $0.20 per mile. For what number of miles is the cost at Rent-A-Ride less than the cost at We Got Wheels?
Given :
Rent-A-Ride charges $55.00 per day with unlimited miles. The cost of renting a similar vehicle at We Got Wheels is $38.00 per day plus $0.20 per mile.
To Find :
For what number of miles is the cost at Rent-A-Ride less than the cost at We Got Wheels.
Solution :
Let, after x miles Rent-A-Ride charges is less than the cost at We Got Wheels.
Price at Got Wheels > Price at Rent-A-Ride
38 + 0.20x > 50
0.20x > 12
x > 60
Therefore, after 60 days cost at Rent-A-Ride less than the cost at We Got Wheels.
Hence, this is the required solution.
find the slope... both are -4/6 right?
Answer:
yes
Step-by-step explanation:
the endpoints of line GH are G(0,4) and H(-6,2). find the coordinates of the midpoint M
Answer: The point G is G(18,-9)
Step-by-step explanation:
Midpoint:
Write the formula for midpoint of the A(x_1,y_1) and B(x_2,y_2).
[(x_1+x_2)/2,(y_1+y_2)/2]
G(x,y), H(-2,9)
(8,0) =[(x+(-2))/2,(y+9)/2]
(x+(-2))/2 =8
(x+(-2))=16
x-2 =16
x =18
(y+9)/2=0
y+9=0
y=-9
The point G is G(18,-9)
(answer found from user homeworkhelp on mathskey.com)
Which of the following expressions is a simplified form?
If one penny, two dimes, and one quarter are added to the bag, what is the new probability that Marissa will draw a nickel? Write your answer as a fraction, as a decimal, and as a percent. 25% chance. (I gave all info please answer this:
In which situation is it more likely that Marissa will draw a nickel
Answer:
As a fraction it's ¼, as a decimal it's 0.25 and as a percentage it's 25%
Answer:
= 1/5
.2
20%
Step-by-step explanation:
In the bag there are 5 pennies, 4 nickels , 5 dimes, 2 quarters
We add 1 penny 2 dimes and 1 quarter
Now in the bag
6 pennies, 4 nickels, 7 dimes, 3 quarters
for a total of 20 coins
P ( nickel) = number of nickels / total
= 4/20 = 1/5
.2
20%
She is more likely to draw a nickel before the 1 penny 2 dimes and 1 quarter because there are fewer coins in the bag that are not nickels
You spent $36 buying $9 storage crates
and $3 notebooks. This situation can be
modeled by the equation 9x + 3y = 36.
Find the x- and y-intercepts. Graph
the equation.
Answer:
y-intercept=-4
x-intercept=12
4 cachorros se terminan un paquete de croquetas en 6 días, si tuviéramos 3 cachorros ¿cuantos días duraría el paquete ?
Answer:
4 1/2 días.
Step-by-step explanation:
En la pregunta se nos dice que:
4 cachorros terminarán un paquete de croquetas en 6 días, si tuviéramos 3 cachorros, ¿cuántos días duraría el paquete?
4 cachorros = 6 días
3 cachorros = y días
Cruz multiplicar
4 cachorros × y = 3 cachorros × 6 días
y = 3 cachorros × 6 días / 4 cachorros
y = 18/4
y = 4 2/4
y = 4 1/2 días
Por lo tanto, el paquete de croquetas para 3 cachorros tendrá una duración de 4 1/2 días.
0505050505050505050 multiplied by 485948
Answer:
[tex]Product = 2.4542828 * 10^{24}[/tex]
Step-by-step explanation:
Given
[tex]Digit= 0505050505050505050[/tex]
[tex]Digit = 485948[/tex]
Required
Determine the product
The product is:
[tex]Product = 0505050505050505050 * 485948[/tex]
[tex]Product = 2.4542828 * 10^{24}[/tex]
What is the arc measure for WX
X=10 btw
Answer:
106°
Step-by-step explanation:
The intercepted arc is double the measure of the inscribed angle intercepting it. Each of the angles V and Y is 53°, so arc WX is 2×53° = 106°.
the length between the bases field is 90 feet. A scale drawing shows the distance between the bases as 2 1/2 inches. One inch on this drawing equals how many feet?
Answer:36
Step-by-step explanation:
two boys received equal amounts of pocket money .after one had spent N$15 and the other had spent N$21,they had N$64 together .what were their original allowance?
Answer:
100
Step-by-step explanation:
15+21=36+64=100
Select the correct answer.
which number is the additive Inverse of –10 1/4
A. 10 1/4
B. -4 1/10
C 0
D 4/41
HELP FAST!!!
Answer:
is 0
Step-by-step explanation:
Answer:
A 10 1/4
Step-by-step explanation:
for the inverse of a fraction you just take away the -.
¶ THIS NEED TO BE TURNED IN 30 SECONDS ¶
FAKE ANSWERS WILL REPORTED : )
Answer:
The answer is B
PLEASE MARK ME AS BRAINLIEST
what do you think this is it's all good if you don't know
Answer:
$3.00; $7.29
Step-by-step explanation:
Find what 8% of $37.50 is:
x/37.50 = 8/100
cross multiply
x × 100 = 37.50 × 8
100x = 300
divide both sides by 100
x = 3
$3 is 8% of $37.50
If 8% was added to the bill, then add $3 to $37.50
3.00 + 37.50 = 40.50
Now find what 18% of 40.50 is
x/40.50 = 18/100
cross multiply
x × 100 = 40.50 × 18
100x = 729
divide both sides by 100
x = 7.29
$7.29 is 18% of the bill after sales tax
They tipped $7.29
Help me solve 5 and 6 please someone
Answer:
5) 1
6) -13
Step-by-step explanation:
f(x) = -x -8 g(x)= x^2 +8x -15
f(1) = (-1 -8) +10 g(-9)= (-9)^2 +8(-9) -15 -7
f(1) = 1 g(-9) = -13
Isabella bought 71.4 ounces of chocolate. 1.21 ounces of it was milk chocolate and the rest was dark chocolate. How much dark chocolate did Isabella buy?
Answer:
Isabella bought 70.19 ounces of dark chocolate.
Step-by-step explanation:
You want to subtract the total which is 71.4 minus the 1.21 ounces of the white chocolate, you then will get 70.19 ounces of dark chocolate. To be sure, you can add 70.19+1.21 and will get you the total amount of ounces of chocolate. Hope this helps :D
1 point
Solve: 0.75 (x + 200) = 150.5 (2 – 28)
type your answer...
Answer:
[tex] \huge \: x = - 5417.33[/tex]
Step-by-step explanation:
[tex]0.75 (x + 200) = 150.5 (2 – 28) \\ [/tex]
Expand the terms and simplify
That's
[tex]0.75x + 150 = 301 - 4214 \\ 0.75x + 150 = - 3913[/tex]
Subtract 150 from both sides of the equation
[tex]0.75x + 150 - 150 = - 3913 - 150 \\ 0.75x = - 4063[/tex]
Divide both sides by 0.75
[tex] \frac{0.75x}{0.75} = - \frac{4063}{0.75} \\ x = - 5417.333333[/tex]
We have the final answer as
x = - 5417.33Hope this helps you
Need help to solve 6/4y - 12 = 1/2y - 4
Answer:
6/4y - 12 = 1/2y -4
3/2y -12 = 1/2y - 4
-1/2y -1/2y
2/2y - 12 = -4 (2/2 = 1)
y - 12 = -4
+12 +12
y = 8
Step-by-step explanation:
Write an equation, in slope-intercept form, to model each situation. You rent a bicycle for $20 plus $2 per hour.
Which expressions are polynomials?
Select all that apply.
3x+9y
x2+x−4
27x2y−3
1/x+4
Answer:
i think a, b, and c not the last one
Step-by-step explanation:
i looked up the definition of a polynomial haha
hope this is right and helps <3
37.2 is 10 times as much as what
triangle abc with vertices a(-3 2) b(-1 7) and c(6 1) in the x-axis
Answer:
A'(-3, -2), B'(-1, -7), C'(6, -1)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. If an object is transformed, all its points are also transformed. Types of transformation are reflection, rotation, dilation and translation
If a point X(x, y) is reflected across the x axis, the new location is X'(x, -y).
If triangle ABC is reflected across the x axis, the new vertices are A'(-3, -2), B'(-1, -7), C'(6, -1)