Answer:
x=28
Step-by-step explanation:
Set 2x-4 equal to 60 and solve.
The three angles in the triangle add up to 180. Divide this by 3 and you get 60.
What is the area of a quadrilateral with vertices at (1,6),(7,6),(1,12),(7,12)?
Answer:
Let us consider the quadrilateral ABCD shown below.
Let us consider the quadrilateral ABCD shown below.

In the above quadrilateral, A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) are the vertices.
To find area of the quadrilateral ABCD, now we have take the vertices A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) of the quadrilateral ABCD in order (counter clockwise direction) and write them column-wise as shown below.

Add the diagonal products x1y2, x2y3, x3y4 and x4y1 are shown in the dark arrows.
(x1y2 + x2y3 + x3y4 + x4y1) -----(1)
Add the diagonal products x2y1, x3y2, x4y3 and x1y4 are shown in the dotted arrows.
(x2y1 + x3y2 + x4y3 + x1y4) -----(2)
Subtract (2) from (1) and multiply the difference by 1/2 to get area of the quadrilateral ABCD.
So, area of the quadrilateral ABCD is
= (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)
- (x2y1 + x3y2 + x4y3 + x1y4)}
Problem :
Find the area of the quadrilateral whose vertices are
(-4, -2), (-3, -5), (3, -2) and (2, 3)
Solution :
Let A(-4, -2), B(-3, -5), C(3, -2) and (2, 3).
Plot A, B, C and D in a rough diagram and take them in counter-clockwise order.

Then,
(x1, y1) = (-4, -2)
(x2, y2) = (-3, -5)
(x3, y3) = (3, -2)
(x4, y4) = (2, 3)
Area of triangle ABC is
= (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)
- (x2y1 + x3y2 + x4y3 + x1y4)}
= (1/2) x {[20 + 6 + 9 - 4] - [6 - 15 - 4 - 12]}
= (1/2) x {[31] - [-25]}
= (1/2) x {31 + 25}
= (1/2) x 56
= 28
So, area of the given quadrilateral is 28 square units.
In the above quadrilateral, A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) are the vertices.
To find area of the quadrilateral ABCD, now we have take the vertices A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) of the quadrilateral ABCD in order (counter clockwise direction) and write them column-wise as shown below.

Add the diagonal products x1y2, x2y3, x3y4 and x4y1 are shown in the dark arrows.
(x1y2 + x2y3 + x3y4 + x4y1) -----(1)
Add the diagonal products x2y1, x3y2, x4y3 and x1y4 are shown in the dotted arrows.
(x2y1 + x3y2 + x4y3 + x1y4) -----(2)
Subtract (2) from (1) and multiply the difference by 1/2 to get area of the quadrilateral ABCD.
So, area of the quadrilateral ABCD is
= (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)
- (x2y1 + x3y2 + x4y3 + x1y4)}
Problem :
Find the area of the quadrilateral whose vertices are
(-4, -2), (-3, -5), (3, -2) and (2, 3)
Solution :
Let A(-4, -2), B(-3, -5), C(3, -2) and (2, 3).
Plot A, B, C and D in a rough diagram and take them in counter-clockwise order.

Then,
(x1, y1) = (-4, -2)
(x2, y2) = (-3, -5)
(x3, y3) = (3, -2)
(x4, y4) = (2, 3)
Area of triangle ABC is
= (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)
- (x2y1 + x3y2 + x4y3 + x1y4)}
= (1/2) x {[20 + 6 + 9 - 4] - [6 - 15 - 4 - 12]}
= (1/2) x {[31] - [-25]}
= (1/2) x {31 + 25}
= (1/2) x 56
= 28
So, area of the given quadrilateral is 28 square units.
The area of the given quadrilateral with vertices at (1,6),(7,6),(1,12),(7,12) is 28 square units.
Let the quadrilateral be ABCD.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
We need the area of the quadrilateral whose vertices are;
(-4, -2), (-3, -5), (3, -2) and (2, 3)
Let; A(-4, -2), B(-3, -5), C(3, -2) and (2, 3).
Then, we have;
(x1, y1) = (-4, -2)
(x2, y2) = (-3, -5)
(x3, y3) = (3, -2)
(x4, y4) = (2, 3)
Area = (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)
- (x2y1 + x3y2 + x4y3 + x1y4)}
= (1/2) x {[20 + 6 + 9 - 4] - [6 - 15 - 4 - 12]}
= (1/2) x {[31] - [-25]}
= (1/2) x {31 + 25}
= (1/2) x 56
= 28
So,
The area of the given quadrilateral with vertices at (1,6),(7,6),(1,12),(7,12) is 28 square units.
Learn more about quadrilaterals here:
https://brainly.com/question/1365755
#SPJ5
What is the rule for reflecting across the x-axis?
Answer:
See below
Step-by-step explanation:
If we want to reflect across x-axis, we'll change the y-coordinate of the co-ordinate to it's opposite (If it's negative, it will become positive and vice versa) while the x-coordinate will remain the same.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Can some one tell me where they go? Please and thank you!!
Answer:
The same as the top also thanks for the points and did you get a warning for your last post
Step-by-step explanation:
For a soccer practice, the coach set up four cones, labeled W, X, Y, and Z, to mark the edges of the rectangular field. Suppose the field is drawn on a coordinate plane, where the x- and y-values represent the position, in yards, from the center of the field, which is located at (0, 0). The location of the cones are as follows. Cone W is located at (-38, -53). Cone X is located at (-38, 53). Cone Y is located at (38, 53). Cone Z is located at (38, -53). What is the perimeter of the field? A. 364 yards B. 8,056 yards C. 182 yards D. 38 yards
Answer:
A. 364 yards
Step-by-step explanation:
The distance between two points [tex]A(x_1,y_1)\ and\ B(x_2,y_2)[/tex] on the coordinate plane is given as:
[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The cone W, X, Y and Z form a rectangle.
The perimeter for the rectangle = 2(length + breadth)
[tex]Length=|WX|=\sqrt{(-38-(-38))^2+(53-(-53))^2}=106 \\\\Breadth=|XY|=\sqrt{(38-(-38))^2+(53-53)^2}=76[/tex]
Perimeter = 2(length + breadth) = 2(106 + 76) = 364 yards
what is 5 1/3 as an improper fraction??
Answer:
5/3
Step-by-step explanation:
PLS MAKE ME AS BRAINLIST
Please help me I've been dying for twelve minutes.
1 goes on the first on -1 goes on the second
- 1/125 goes on the last one and -125 the third one
#3) Find the equation of the linear relationship represented in the table below.
x
у
-7.
5
-3
1
1
-3
5
-7
Please help!!!! Thank youuu I’ll make brainlisy
Answer:
A
Step-by-step explanation:
it isn't a straight line, so it is nonlinear
2 (x+4) = 2 (x-6) Solve the equation
Answer: x=16 this is the answer without the 2 in the beginning of the equation with the 2 there's no solution
Step-by-step explanation:
An equilateral triangle has a side labeled 3x. The perimeter of the triangle is 99 cm. what is the measure of the sides of the triangle?
[tex]\underline{\underline{\frak{\qquad Given :\qquad}}} \\ [/tex]
An equilateral triangle has a side labeled 3x. The perimeter of the triangle is 99 cm.[tex]\underline{\underline{\frak{\qquad To\:Find :\qquad}}} \\ [/tex]
The measure of the sides of the traingle = ?[tex]\underline{\underline{\frak{\qquad Solution :\qquad}}} \\ [/tex]
An equilateral triangle has a side labeled 3x.Perimeter of an equilateral traingle = 99 cm☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}\\[/tex]
[tex]:\implies \sf Perimeter_{(of \: equilateral \: \Delta)} = 3a \\ \\ \\ [/tex]
[tex]:\implies \sf 99 = 3(3x) \\ \\ \\ [/tex]
[tex]:\implies \sf 99 = 9x\\ \\ \\ [/tex]
[tex]:\implies \sf x = \dfrac{99}{9} \\ \\ \\ [/tex]
[tex]:\implies \sf x = 11 \: cm \\ \\ \\ [/tex]
[tex]\bigstar \: \underline{\textsf{The measure of the sides of the equilateral traingle :}} \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf Side_{(of \: equilateral \: \Delta)} = 3x \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf Side_{(of \: equilateral \: \Delta)} = 3(11) \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\: \underline{ \boxed{\sf Side_{(of \: equilateral \: \Delta)} = 33 \: cm}} \\ \\ [/tex]
[tex]\therefore\:\underline{\textsf{The measure of the sides of the traingle is \textbf{33 cm}}}. \\ \\ [/tex]
⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━
[tex]\underline{\underline{\frak{\qquad Verification :\qquad}}} \\[/tex]
[tex]\longrightarrow\: \sf 99 = 3(3x) \\ \\ \\ \\ [/tex]
[tex]\longrightarrow\: \sf 99 = 3(3 \times 11) \\ \\ \\ \\ [/tex]
[tex]\longrightarrow\: \sf 99 = 3(33) \\ \\ \\ \\ [/tex]
[tex]\longrightarrow\: \underline{ \boxed{\sf 99 = 99}}\\ \\ \\ \\ [/tex]
[tex]\longrightarrow\: \underline{ \boxed{\sf LHS = RHS}}\\ \\ \\ \\ [/tex]
[tex]\underline{\underline{\frak{\qquad Hence, Verified\qquad}}} \\ \\ [/tex]
══════════════════════════════════════════════════
Name the property that proves these triangles are congruent
Answer:
SAS or Side-Angle-Side
Step-by-step explanation:
I really need help with the first one, so I can do the rest of anyone could help I’d be so grateful.
Answer:
1) a = 1 ; b = 5 ; c = 0
2) a = 1 ; b = 3 ; c = 10
3) a = -5 ; b = -7 ; c = 2
4) a = 1 ; b = 2 ; c = -9
5) a = -7 ; b = 6 ; c = -1
6) a = 4 ; b = -10 ; c = -7
Step-by-step explanation:
a , b & c are just coefficients of the equation
Answer: [tex]x^{2}[/tex] =5x=0
Step-by-step explanation:
Is the following a function?
Answer:
yes
Step-by-step explanation:
you can times them all by 3
BRAINLIEST PLEASE
7(1 - y) = -3(y - 2)
Answer:
7 - 7y = -3y - (-6)
Step-by-step explanation:
The base of a parallelogram is 15.25 cm, side length is 12.25 cm, and height is 6.8 cm.
what is the area? answer has to be cm
Answer:
The area is 103.7 cm
Step-by-step explanation:
Multiply the base by the height:
15.25 * 6.8 = 103.7
♥
Write the equation y = mx + b of a line given two points.
Ex 1.(3,3) and (4,-2)
Ex 2. (4,1) and (6,2)
Answer:
Ex 1. y= -5.00x + 18.00 Ex 2. y= 0.50x + -1.00
Step-by-step explanation:
(results are in decimal form, rounded to the nearest 100th)
Write an exponential function to model the situation. Then find the value of the function after 5 years to the nearest whole number. A populaton of 330 animals that decreases at an annual rate of 22%.
Answer:
Results are below.
Step-by-step explanation:
First, we need to establish the decrease function in the given population:
FV= PV/(1+g)^n
FV= future value
PV= present value
g= decrease rate
n= number of periods
Now, for the given information:
PV= 330
g= 22% = 0.22
n= 5 years
FV= 330 / (1.22)^5
FV= 122
Which of the following lines is perpendicular to a line with a slope of 5?
y= 1/5x +5
y= 5x +5
y= -1/5x +5
y= -5x +5
Answer:
Y=-5x+5
Step-by-step explanation:
you just change it negative and if it was a fraction you'd change the sign the opposite still but.... flip the fraction :))
Which statement is true?
Question 9 options:
A)
|–45| = 45 and |–96| = 96.
B)
–|–45| = 45 and –|–96| = –96.
C)
|–45| = 45 and |–96| = –96.
D)
|–45| = –45 and |–96| = –96.
Answer:
d can be right answer....
I will give brainliest to whoever answers it correctly
An arithmetic sequence is represented by the explicit formula A(n) = 8 - 6(n - 1) What is the recursive formula? Group of answer choices
Answer:
A(1) = -4A(n) = A(n - 1) - 6Step-by-step explanation:
GivenAP with the explicit formula A(n) = 8 - 6(n - 1)To find Recursive formulaSolutionRecursive formula is the formula A(n) = A(n - 1) + d
Based on the explicit formula we have:
A(n) = 8 - 6(n - 1) = 8 - 6n + 6 = 2 - 6nA(n - 1) = 2 - 6( n - 1) = 2 - 6n + 6 = 8 - 6nThe common difference is:
d = A(n) - A(n - 1) = 2 - 6n - (8 - 6n) = 2 - 6n - 8 + 6n = - 6The first term is:
A(1) = 2 - 6(1) = 2 - 6 = -4So the recursive formula is:
A(1) = -4A(n) = A(n - 1) - 6Find the slope between the following two points: (3, 1), (5, 4).
Answer:
3/2 or 1.5
Step-by-step explanation:
[tex]slope = \frac{4 - 1}{5 - 3} \\ \\ = \frac{3}{2} \\ \\ = 1.5[/tex]
if I have a 40 in a class and get 100% on something thats 40% of my grade. whatsmy new grade PLEASE ANSWER like please please please please answer
Answer: depends on how your class is weighted, and specifically how many points the thing is, and your point score.
Step-by-step explanation:
i guess 60%? it's too vague
Based on the table,
what is the best
prediction of the
number of clicks on
the advertisement if
1,500 people visit the
website?
F. 7
G. 137
H. 83
J. 105
PLEASE HELP
ILL GIVE YOU BRAINIEST
The linear relation is y = 0.049x + 8.606 then the value of y is 83. Then the correct option is H.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The linear relation is given as
[tex]\rm y - 63 = \dfrac{63-60}{1106-1045} (x - 1106)\\\\y = 0.049x+8.606[/tex]
For x = 1500, then the value of y will be
[tex]\rm y = 0.049\times 1500+8.606\\\\y = 82.37 \approx 83[/tex]
More about the linear system link is given below.
https://brainly.com/question/20379472
Slope:
Y-Intercept:
Equation:
pls help
Answer:
Slope: 4
Y-interecept: -2
Step-by-step explanation:
To find the slope, use rise over run. Go up from the y-intercept and over until you hit another exact point.
To find the y-intercept, just find the point that is on the y-axis.
the LCM of 6 and 9 is _____.
Answer:
18
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.
Answer:
4500
Step-by-step explanation:
10000 x .09 x 5
What number is 7.2% of 35?
Answer:
2.52
Step-by-step explanation:
35 x 7.2 = 2.52 :D
10 POINTS!!!! for the most meaningful message along with a Brainliest
Answer:
If you always give without thinking of receiving something, you will get more than you need later.
-lorraine9fig
Step-by-step explanation:
Yes. I used my own quote.
"Challenges are what make life interesting and overcoming them is what makes life interesting"
-Joshua J. Marine
"Don’t Let Yesterday Take Up Too Much Of Today."
-Will Rogers
“You Learn More From Failure Than From Success. Don’t Let It Stop You. Failure Builds Character.”
– Unknown
“It’s Not Whether You Get Knocked Down, It’s Whether You Get Up.”
–Vince Lombardi
“Failure Will Never Overtake Me If My Determination To Succeed Is Strong Enough.”
– Og Mandino
“We May Encounter Many Defeats But We Must Not Be Defeated.”
– Maya Angelou
“The Only Limit To Our Realization Of Tomorrow Will Be Our Doubts Of Today.”
– Franklin D. Roosevelt
Use the graph to write a linear function that relates y to x .
Answer:
2y = x + 2
Step-by-step explanation:
Looking at the graph, we can see from one point to the next (from right to left), the x-value rises by 2 and the y-value by 1;
From this we can work out the gradient between two points using the formula, i.e. the change/difference in y divided by the change/difference in x:
[tex]m = \frac{dy}{dx} = \frac{1}{2}[/tex]
Joining the points gives a straight line, which means a constant gradient of ¹/₂
Use the line equation formula to get the function:
y - y₁ = m(x - x₁)
m = ¹/₂
x₁ = 0
y₁ = 1
y - 1 = ¹/₂.(x - 0)
y - 1 = ¹/₂.x
2y - 2 = x
2y = x + 2
PLEASE HELP ME !?!?!?!?