The area of the pentagon is 19 square units
The coordinates of the pentagon are given as:
[tex]T = (1, 8)[/tex]
[tex]E =(3, 8)[/tex]
[tex]X =(6, 2)[/tex]
[tex]A=(3, 2)[/tex]
[tex]S = (1, 4)[/tex]
The area of the pentagon is then calculated using:
[tex]Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|[/tex]
So, we have:
[tex]Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|[/tex]
Simplify the expressions in both brackets
[tex]Area = \frac 12|46 -84|[/tex]
[tex]Area = \frac 12|-38|[/tex]
Remove absolute bracket
[tex]Area = \frac 12 \times 38[/tex]
[tex]Area = 19[/tex]
Hence, the area of the pentagon is 19 square units
Read more about areas at:
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Please help 10 points
The solution set of inqulity 4>-2x in R is …
[tex]4>-2x\\\\\implies -\dfrac{4}2 <\dfrac{-2x}{-2}\\\\\implies -2<x\\\\\implies x >-2\\\\\text{Interval, }~ (-2, \infty)[/tex]
.if cant represents it no problem but just i need the answer please
Answer:
The solution is in the photo
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
27 children
Step-by-step explanation:
So, if you add 9 +4 = 13. 13 x 3 = 39.
3 times 9 = 27
Hope this helped! Pls mark me brainliest!
Answer:
27 children
Step-by-step explanation:
9+4=13
39/13=3
9x3=27
can someone help me with this
Answer:
b
Step-by-step explanation:
help I have foreign parents.....they will literally disown me if I fail - ♥️
We know that:
Total degrees of triangle: 180°Using this clue, we can find m∠1.
=> 67 + 62 + m∠1 = 180=> 129 + m∠1 = 180=> m∠1 = 180 - 129=> m∠1 = 51°Conclusion:We have finally found the answer to the missing angle. The answer is 51°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
find the perimeter of a rectangle whose length is 4cm greater than its height, and whose area is 60 cm^2.
Answer:
32
Step-by-step explanation:
x=6
and it's x+x+(x+4)+(x+4)
Answer:
80cm
Step-by-step explanation:
Lets have height be x
Then the length would be x+4
So the area would be x*x+4=60
Solve: 2x+4=60, 2x=36, x=18
The height is 18 so the length is 22
The perimeter=18*2+22*2
Result: 80cm
Is (3, 0) a solution to the equation y = 5x + 3? *
1 point
Answer:
no
Step-by-step explanation:
Substitute x = 3 into the equation and if the result is 0 then it is a solution
y = 5(3) + 3 = 15 + 3 = 18 ≠ 0
Then (3, 0 ) is not a solution to the equation
Help I give brainly
The acute angles of a right triangle measure (48 - x) and (3x – 10). What is the value of x?
Answer:
[tex]\huge\boxed{\sf x = 26}[/tex]
Step-by-step explanation:
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.
So, we get:
(48 - x) + (3x - 10) = 90
48 - x + 3x - 10 = 90
-x + 3x - 10 + 48 = 90
2x + 38 = 90
2x = 90 - 38
2x = 52
Divide both sides by 2
x = 52 / 2
x = 26
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
Step-by-step explanation:
x=26
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.
So, we get:
(48 - x) + (3x - 10) = 90
48 - x + 3x - 10 = 90
-x + 3x - 10 + 48 = 90
2x + 38 = 90
2x = 90 - 38
2x = 52
Divide both sides by 2
x = 52 / 2
x = 26
Hope this helped!
What is the equation of the line in point - slope form with slope 3/4and passes through the point (5, -8)?
Find the m, b, and write the equation for the following graph:
Answer:
y = 3, m=0, b=3
Step-by-step explanation:
Hi there! If you look at the graph, we have a horizontal like crossing through y=3. your m value will be 0 as there is no slope. For your b value, it will be 3 as the y-intercept is 3.
I hope this helps!
can you please help me
Answer:
Step-by-step explanation:
1. HI // KL , J is midpoint of HL 1. Given
2. ∠IHJ ≅ ∠JLK 2. Alternate interior angles are congruent
3. ∠IJH ≅ ∠KJL 3. Vertically opposite angles
4. HJ ≅ JL 4. Given
5. ΔHIJ ≅ ΔLKJ 5. A S A congruent
(Angle Side Angle)
At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 customers would you expect to want mustard?
Answer:
I would expect 1 person to want mustard.
Explanation:
6 is half of 12, and 1 is half of 2 :)
Hope this helped
I agree with everything that dagaminangel said since two out of 12 wanted mustard one should want mustard out of the six
-2,75 is greater or less than -2.5
Answer: less than s less than -2.5
Step-by-step explanation:
Answer:
-2.75 < -2.5
-2.75 is less than -2.5
Step-by-step explanation:
If we were to plot these numbers on a number line, it would look like the this:
<--- (-3) --- (-2.75) --- (-2.5) --- (-2.25) --- (-2) --->
When it comes to negative numbers, the "smaller" number is actually greater.
Therefore, -2.75 is less than -2.5.
What is 1/4 + 10/16?
Answer:
[tex]\frac{7}{8}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}\ + \frac{10}{16}\[/tex]
[tex]= \frac{4}{16}\ + \frac{10}{16}\\[/tex]
[tex]= \frac{14}{16} \\[/tex]
[tex]= \frac{7}{8}[/tex]
hope it helps :)
mark brainliest!
56 is what percent of 80
Answer:
70%
Step-by-step explanation:
Therefore, we can conclude that the required percentage is 70% that is 70% of 80 is 56.
Hopes This Helps :)
Analyze the student’s work. Is the answer correct? Explain. No, the student should have added 3 4 to get the total number of sections, and used the fraction Three-sevenths instead of Three-fourths. No, the student should have subtracted 2 from â€"6 to find the distance. No, the student should have added 2 at the end to add to the starting point. Yes, the student’s answer is correct.
The student's work is incorrect, and the reason is (a) No, the student should have added 3 4 to get the total number of sections, and used the fraction 3/7 instead of 3/5
From the complete question, the given parameters are:
[tex]Ratio =3 : 4[/tex] ---- the ratio
[tex]A = -6[/tex]
[tex]B = 2[/tex]
The student's steps are as follows:
[tex]C = \frac 34 (2 -(-6)) + (-6)[/tex]
[tex]C = \frac 34 (8) + (-6)[/tex]
[tex]C = 6 -6[/tex]
[tex]C = 0[/tex]
To determine the position of point C from the given ratio, we make use of the following quotient;
[tex]Position = \frac 3{3 + 4}[/tex]
[tex]Position = \frac 37[/tex]
This means that, the student ought to add 3 and 7, to get the total number of section.
Hence, the student's work is incorrect, and the reason is (a)
Read more about partitions at:
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Answer:
A: No, the student should have added 3 + 4 to get the total number of sections, and used the fraction 3/7
Step-by-step explanation:
edge 2022
simplify 7 1/3t-(10 2/3t-6) it looks crazier than it is pls help
Answer:
7/3t-2(10/3t-3)
Step-by-step explanation:
7*1/3t=7/3t
-(10*2/3t-60)=-2(10/3t-3)
=7/3t-2(10/3t-3)
The square of a number minus twice the number is 48. Find the number.
Answer: 8 or -6
Step-by-step explanation:
x^2 - 2x = 48
x^2 - 2x - 48 = 0
(x-8)(x+6) = 0
x = 8 or -6
Phan fills the tank of her car with gasoline before starting her road trip. The table below shows the amount of gas left in her tank as she drives. Number of Hours vs. Amount Left in Tank Number of Hours Spent Driving (h) 3 5 7 9 Amount of Gas Left in Tank, in gallons (g) 12 8 4 0 Which equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank? g = 18 â€" 2h; 18 gallons g = 18 â€" 2h; 16 gallons g = 3h 3; 30 gallons g = 3h 3; 12 gallons.
The equation that models the amount of gas left in the car as Phan drives is [tex](g = 18 - 2h)[/tex] and the total amount of gasoline does it take to fill her tank is 18 gallons.
Given :
The table below shows the amount of gas left in her tank as she drives.Number of Hours Spent Driving (h) 3 5 7 9 Amount of Gas Left in Tank, in gallons (g) 12 8 4 0The following steps can be used in order to determine the equation that models the amount of gas left in the car as Phan drives and the total amount of gasoline:
Step 1 - The two-point form of the line can be used in order to determine the equation that models the amount of gas left in the car as Phan drives.
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Step 2 - Now, substitute the value of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above expression.
[tex]\dfrac{g-12}{h-3}=\dfrac{8-12}{5-3}[/tex]
Step 3 - Simplify the above equation.
[tex]\begin{aligned}\\(g - 12)&=-2(h-3)\\g - 12&=-2h+6\\g &= 18-2h\\\end{aligned}[/tex]
Step 4 - Now, substitute the value of (h = 0) in the above equation.
[tex]g = 18-2(0)\\g = 18 \; {\rm gallons}[/tex]
Therefore, the correct option is A).
For more information, refer to the link given below:
https://brainly.com/question/11897796
Answer:
g = 18 – 2h; 18 gallons
Step-by-step explanation:
The answer above is correct.
Please help!!!!!!!!!!!!!
Answer:
B and C
Step-by-step explanation:
look at comments
How to solve the function problem for this one?
Answer:
a. f(12) = - 1
b. x = 27 when f(x) = 4
Step-by-step explanation:
We are given that [tex]f(x)=\frac{1}{3} x-5[/tex] and we want to find f(12) and f(x) = 4
To find f(12) we simply plug in 12 into x and evaluate it
[tex]f(x)=\frac{1}{3} x-5[/tex]
plug in 12
[tex]f(12)=\frac{1}{3} (12)-5[/tex]
multiply 12 and 1/3 to get 4
[tex]f(12)=4-5[/tex]
subtract 5 from 4 to get -1
[tex]f(12)=-1[/tex]
Now we want to find the value of x when f(x) = 4
To do this we substitute 4 for f(x) and solve for x
[tex]f(x)=\frac{1}{3} x-5[/tex]
substitute 4 for f(x) and solve for x
[tex]4=\frac{1}{3}x -5[/tex]
add 5 to both sides
[tex]9=\frac{1}{3} x[/tex]
multiply both sides by 3
27 = x
And we are done.
So f(12) = -1 and x = 27 when f(x) = 4
For a plug in 12 for x:
f(12) = 1/3(12)-5
f(12) = 4-5
f(12) = -1
For b plug in 4 for x:
f(4) = 1/3(4)-5
f(4) = 4/3 -5
f(4) = 0.75-5
f(4)= -4.25
Solve the system of equations shown below algebraically.
x+y=1
x^2+y^2=61
Answer: xy1 = (6,-5) and xy2 = (-5,6), pls give brainliest if this solution helped you
Step-by-step explanation:
rewrite the two statements as a single biconditional statement: A rectangle is a quadrilateral that has all perpendicular sides. If all sides of a quadrilateral are perpendicular, then it is a rectangle.
Your friend claims that only true conditional statements have a true contrapositive. is your friend correct? explain your reasoning
A) The single biconditional statement of the given statement is;
A quadrilateral is a rectangle if and only if it has all perpendicular sides
B) The statement made by your friend about only true conditional statements having a true contrapositive is; True
A biconditional statement is one that combines 2 conditional statements that are related to one another. An example of a biconditional statement is;
The polygon has only four sides if and only if the polygon is a quadrilateral.
That biconditional statement has combined two individual conditional statements.
Now, to our question, we are given two statements;
Statement 1; A rectangle is a quadrilateral that has all perpendicular sides.
Statement 2; If all sides of a quadrilateral are perpendicular, then it is a rectangle.
Combining both statements means that the biconditional statement will be; A quadrilateral is a rectangle if and only if it has all perpendicular sides
B) A contrapositive is when we switch and negate the hypothesis and the conclusion of a conditional statement. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."
Thus, if the conditional statement is true, then we will have a true contrapositive.
Read more about contrapositives at; https://brainly.com/question/12276922
In 13, write an equation. Complete the table and graph to solve the problem. A puppy weighs 1 pound. What does the puppy weigh after 4 weeks? Puppy gains 1/2 pound each week.
I figured out that the puppy weighs 3 lbs., but I don't get how to graph it. HELP? (this was due a few days ago)
Answer:
It would be y=0.5x+1
Step-by-step explanation:
1/2 is the x which is the slope and it starts at 1 so that is the the y-intercept
What is the y-intercept of the line?
Answer:
1
Step-by-step explanation:
Dillon pays x dollars to get a haircut. He gives the stylist a
20% tip. The expression representing his total cost is
X + 0.2x.
Vhich expression is equivalent and why?
A. 1.02x, because adding 20% to the cost of the haircut is the same
as multiplying the cost by 1.02.
B. x(0.2), because the cost of the haircut can be factored out.
O C. 1.2x, because adding 20% to the cost of the haircut is the same as
multiplying the cost by 1.2.
D. 1.2x, because adding $20 to the haircut is the same as multiplying
the cost by 1.2
Answer:
C. 1.2x
Step-by-step explanation:
He pays 1 x for his haircut, and an additional 20% on top of that, or an additional 0.2x. If you write that as an expression, you can simplify it like this:
[tex]1x+0.2x\\1.2x[/tex]
You can also work it out by multiplying by 1.2 as stated in answer C. If his haircut costs $10, adding a 20% tip of $2 is the same as multiplying by 1.2.
[tex]10\times1.2=12[/tex]
the product of 20 and z
Answer:
20z
Step-by-step explanation:
just times 20*z which give you 20z
how do you estimate the car
Answer:
The car value is 9100
Step-by-step explanation:
you multiply 3 1/2 times 2600 and you get 9100, which is the value of the car.
hope that helps!
Find the slope of this line.
Answer:
5/2
Step-by-step explanation:
To find a slope you use rise over run.
The graph shows that you rise 5 for every 2 right.