Find the area of triangle DEF with vertices D(-1,2), E(3,-2) and F(-2,-2).*
Answer:
The area of the triangle DEF is 10.
Step-by-step explanation:
Area of a Triangle:
A triangle of base B and height H (both must be perpendicular) has an area of:
[tex]\displaystyle A=\frac{BH}{2}[/tex]
The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.
This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:
B=3-(-2)=3+2=5
Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.
H=2-(-2)=4
With these two values, we calculate the area:
[tex]\displaystyle A=\frac{5*4}{2}=10[/tex]
The area of the triangle DEF is 10.
Find the value of x plzzz
Answer:
x=5 gg ez
Step-by-step explanation:
Answer:
x =12
Step-by-step explanation:
angle 5 = 65
65 + (11x - 17) = 180 (supplementary angles)
11x + 48 = 180
11x = 132
x = 12
In the diagram, the measure of 1 is 55°. If line y is rotated 5° clockwise about the point of
intersection, what is the new measure of 3?
A. 60°
B. 130°
C. 120°
D. 50°
PLEASE LOOK AT THE PICTURE!!
Answer:
Option (1)
Step-by-step explanation:
Lines X and Y are intersecting at a point.
Two pairs of vertical angles have been formed at the point of intersection.
1). ∠1 and ∠3
2). ∠2 and ∠4
It's given that m(∠1) = m∠3 = 55° [Since pair of vertical angles are equal in measure]
If line Y is rotated 5° clockwise about the point of intersection of both the lines,
∠1 and ∠3 both will increase by 5°.
Therefore, measure of angles 1 and angle 3 will become (55° + 5° = 60°).
Option (1) will be the answer.
The new measure of angle 3 is 60 degrees
When a point or line is rotated, it must be rotated about a point of rotation
The angle measure is given as:
[tex]\angle 1 = 55^o[/tex]
By vertical angle theorem, we have:
[tex]\angle 3 = \angle 1[/tex]
So, the angle measure becomes
[tex]\angle 3 = 55^o[/tex]
The angle of rotation is given as: 5 degrees.
So, the new measure of angle 3 is:
[tex]\angle 3 = 55^o + 5^o[/tex]
[tex]\angle 3 = 60^o[/tex]
Hence, the new measure of angle 3 is 60 degrees
Read more about rotation at:
https://brainly.com/question/2283733
A car travels a distance of 145 miles in a time of 2.4 hours.
What is its average speed rounded to 1dp?
Answer:
60.4miles/hr
Step-by-step explanation:
Given parameters:
Distance covered by the car = 145miles
Time taken = 2.4hrs
Unknown:
Average speed of the car = ?
Solution:
Average speed is the rate of change of distance with time;
Average speed = [tex]\frac{distance}{time}[/tex]
Input the parameters and solve;
Average speed = [tex]\frac{145}{2.4}[/tex] = 60.4miles/hr
please help me on this please
Answer:
x = 57.59
Step-by-step explanation:
979 * 1 / 17
x = 57.59
cross multiply then divide.
if you want to be thorough and make the equation
17x = 979(1)
x = 57.59
Pls help asap if u can :((
Find the values of the unknowns.
Each pair of lines are parallel to each other.
a. 2x - y = 4 and ax - 3y = 3
The value of a: _____
b. x + 2y + 1 = 0 and 3x + ky = 1
The value of k: ____
C. 4x - py - 1 = 0 and -px + y - 2 = 0
The value of p: _____
pls help im so bad at this :(
Answer:
a id equal to 6
k is equal to 6
p is equal to 2 and -2 both
Help me out please an thank
Really easy, giving you the answers, just match them up, thanks!
Answer:
why can u do this yourself ?
Step-by-step explanation:
are u ok r ur hands broken
how do I do simplified expenrntial form for stuff like (4³)⁷
Answer:
4398046511104
Step-by-step explanation:
you multiply the exponents which results in 21 and then you do 4^21 which gets 4398046511104
Which table represents a function
Answer:
The top right
Step-by-step explanation:
In the top right table, every x value has only one y value.
Help I really need the answer to this.
It’s either b or c
It either of those.
Answer:
3
Step-by-step explanation:
The sides are congruent so you can write the equation (4x+9)=21.
Now you subtract 9 from 21 and you get 4x=12.
All you gotta do now is divide and you get x=3.
Hope this helps!:)
Which equation represents line shown in the accompanying
diagram?
Please help you guys
Answer:
It should be 21.1
Step-by-step explanation:
Deangelo has $7 worth of dimes and quarters in a jar. He has 7 more quarters than dimes.
How many of each coin does he have?
Enter your answers in the boxes.
dimes and
quarters
Answer:
dimes: 50
quarters: 8
Step-by-step explanation:
7 quarters is $1.75 + 1 quarter to make it even and it equals $2.00 then, 10 dimes for each dollar and that would be 50 dimes for $5.00. $2.00 + $5.00 is equal to $7
Answer:
Dimes:15
Quarters:22
Step-by-step explanation:
I had the same quiz and this was correct.
Hellllpppppp plzzzzzz I’m failing!!!!!!!!!! Plzzzzz
Answer:
angle x is equal to 58
Step-by-step explanation:
simply add 66+56 which is equal to 122. now subtract 122 from 180 which is equal to 58.
the sum of 17 and a number X is equal to 20
Answer:
20 = x + 17
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
17 + x = 20
-17 -17
x = 3
Enter your answer as a fraction, in simplified form, in the box.
3/8⋅(−3/6)
Which situation can be represented by the equation -4x5= -20
Answer:
it just 20
Step-by-step explanation:
Last year, the gym membership fee was $60. This year the fee is $48. By what percentage was the membership fee reduced
3/5x+1/4t=-1/2 in standard form
Answer:
[tex]\frac{3}{5}x+\frac{1}{4}t+\frac{1}{2}=0[/tex]
Step-by-step explanation:
Write in standard form.
Karen receives a grade of 75% on her math test, what fraction of the test questions did she get correct?
Answer:
3/4
Step-by-step explanation:
Answer:
She got 3/4 of the test correct
Step-by-step explanation:
Can you map shape I onto shape II by a sequence of transformations? If so, give a sequence of transformations that maps shape I onto shape II.
Yes, the shape I can onto shape II by a sequence of transformations.
Two images are given we have to determine that whether any of shape can onto other shapes.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The shape I can be mapped into shape II through a series of transformations.
The first sequence would involve translating shape I 8 units up and 4 units left, reflecting shape I across the x-axis, then rotating shape I 90 degrees counterclockwise about the origin.
Therefore, the shape I can onto shape II by a sequence of transformations.
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ2
Lola purchased two pairs of shoes that each cost $20.00. She then purchased a pair of jeans for $14.50 and a shirt for $8.25. What is the total amount of money she spent, before tax?
Answer:
62.75
Step-by-step explanation:
two pairs of shoes 20 each equals 40 bucks plus 14.50 equals 54.50 plus 8.25 equals 62.75
Below is a diagram of Hillcrest High School. The english and math buildings are congruent rectangles. The art building is a square. The total perimeter of Hillcrest High school’s building is 1,718 feet. Find the value of x. Find the missing perimeters for the buildings.
1. Find the value of x.
2. Find the missing perimeters for the buildings.
3. What is the area of the English building? (plug in your x value!)
Answer/Step-by-step explanation:
1. Perimeter of the building = sum of all the length of the outer borders surrounding the building = 1,718 ft
Thus:
4x - 6 + 2x + 3x + 2(3x + 4) + 3x + 2x + x + x + x + 2x + 4x - 6 + 2(3x + 4) + 4x - 6 + 3x = 1,718
Open the Parentheses
4x - 6 + 2x + 3x + 6x + 8 + 3x + 2x + x + x + x + 2x + 4x - 6 + 6x + 8 + 4x - 6 + 3x = 1,718
Combine like terms
42x - 2 = 1,718
42x = 1,718 + 2
42x = 1,720
x ≈ 41
2. Missing perimeter of Building = 2x + 2x + 4x - 6
Simplify
= 8x - 6
Plug in the value of x
= 8(41) - 6
= 322 ft
3. Area of English Building = length * width
= (4x - 6 + 2x)(3x)
Simplify
= (6x - 6)(3x)
Plug in the value of x
= (6(41) - 6)(3(41))
= (246 - 6)(123)
= (240)(123)
= 29,520 ft²
the original price of p of an item less a discount of 50%
PLS ANSWER I NEED HELP ILL GIVE 50 POINTS PLS NO ONE HELPS ME.
What is the equation of this line?
y=2x−3
y=−12x−3
y=−2x−3
y=12x−3
Answer:
y=2x-3
Step-by-step explanation:
Suppose you have a line segment with endpoint (-1,2) and midpoint (3,4). Which of the following is the other endpoint of your segment?
Step-by-step explanation:
we know that midpoint of a segment is found from formula
x=(x1+x2)/2
and y=(y1+y2)/2
in this case x=3 and y=4 x2=-1 and y2=2
so x1=2x-x2 =2*3-(-1)=6+1=7
y1=2y-y2=2*4-2=8-2=6
the other endpoint is (7,6)
please help! will give brainliest! financial lit.!
What is the difference between profit and revenue?
a. Revenue is the amount of income earned before paying costs of production, while profit is the financial benefit gained after paying costs of production.
b. Profit is the quantity of goods supplied, and revenue is the quantity of goods demanded.
c. There is no difference; the terms are interchangeable.
d. Profit is the amount of income earned before paying costs of production, while revenue is the financial benefit gained after paying costs of production.
Answer:
a. Revenue is the amount of income earned before paying costs of production, while profit is the financial benefit gained after paying costs of production.
Step-by-step explanation:
Answer:
The answer is indeed A
Step-by-step explanation:
..........
You have a friend who is 6 feet, 5 inches tall. How tall is he in inches?
What is the length of TH, when T (6, 9) and H (-4, -1)?
Answer:
d = 10 sqrt(2)
Step-by-step explanation:
The distance formula is
d = sqrt( (y2-y1) ^2 + ( x2-x1)^2)
d = sqrt( (-1-9) ^2 + ( -4-6)^2)
d = sqrt( (-10) ^2 + ( -10)^2)
d = sqrt( 100+100)
d = sqrt(200)
d = sqrt( 200*2)
d = sqrt(100) sqrt(2)
d = 10 sqrt(2)