Answer:
The degree measure of the four add up to 360 degrees. This is actually true of any quadrilateral. Let lower case letter a,b,c and d represent the angle of trapezoid ABCD. Then a+b+c+d= 360 degreees.
The points (a,b) and (c,d) form a segment, and the points (d,e) and (d,f) form a segment. Create an equation assuming the segments are congruent
If the segments are congurent they are of equal length.
So constructing an equation will not be hard.
Take for example [tex]y=x[/tex] and limit x to be between and including 0 and 1 for the first segment. In this case our segment is [tex](a,b)\to(c,d)=(0,0)\to(1,1)[/tex].
Now, d has been fixated to the value of 1 and we need to construct a segment from [tex](1,e)\to(1,f)[/tex].
Since both x coordinates of the endpoints of the segment are fixed to be 1, we cannot run anymore, that is, we fixated our run. But on the rise (y-axis direction) we can still move one unit up.
Let e be 1 and f be 2. The distance between [tex](1,1)[/tex] and [tex](1,2)[/tex] is 1 which is also the distance between [tex](0,0)[/tex] and [tex](1,1)[/tex].
Now we are asked to find the equation of both segments.
First segment is described by [tex]y=x[/tex] with limited domain of [tex]0\leq x\leq1[/tex].
Second segment is described by [tex]x=2[/tex] with again limited domain of [tex]1\leq y\leq2[/tex].
Hope this helps :)
The length, l of a segment with points (x₁, y₁), and (x₂, y₂) is presented as follows; [tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
An equation that can be created given that the segment with points (a, b) and (c, d), and the segment with points (d, e), and (d, f) are congruent is presented as follows;
√((d - b)² + (c - a)²) = f - e
The reason the above equation is correct is presented as follows;
Given that the segments are congruent, therefore;
Length of (a, b) and (c, d) = Length of (d, e) and (d, f)
Length of (a, b) and (c, d) = √((d - b)² + (c - a)²)
Length of (d, e) and (d, f) = √((f - e)² + (d - d)²) = f - e
Which gives the equation;
√((d - b)² + (c - a)²) = f - e
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a square playground measures 2500 ft^2 what is the distance around the edge of the playground?
Answer:
20000
Step-by-step explanation:
Can you conclude that this parallelogram is a rectangle? Explain.
Answer:
The answer is B.
Step-by-step explanation:
All parallelograms that have congruent diagonals are rectangles.
A trapezoid has one base measuring 12', and the other measuring 13'8". What is the area in square feet if the height of the trapezoid is 9'4"?
(Remember for trapezoids A= (b1 + b2)/2 x h
Answer:
Step-by-step explanation:
buzhou一=12212+13。8.12+13.8=25.8 25.8x9.4=?242.52242.522
The area of the trapezoid is given by A = 121.26 feet²
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the area of the trapezoid be represented as A
Now , the equation will be
Let the height of the trapezium be H = 9.4 feet
The shorter base of the trapezium a = 12 feet
The longer base of the trapezium b = 13.8 feet
Now , Area of Trapezoid = ( ( a + b ) h ) / 2
On simplifying the equation , we get
Area of Trapezium A = ( ( 13.8 + 12 ) 9.4 ) / 2
Area of Trapezium A = 121.26 feet²
Hence , the area of trapezium is 121.26 feet²
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Is x^3x^3x^3 equivalent to x^3^3^3
Answer:
No they aren't equivalent.
Step-by-step explanation:
x^3x^3x^3=x^3^3^3
[tex](x)^{3x^{3x^3[/tex]=[tex]x^{3^{3^3[/tex]
[tex]x^{3x^{9x}[/tex]=[tex]x^{3^{9}[/tex]
[tex]x^{27x^{2} }[/tex]=[tex]x^{27}[/tex]
Apply log on both sides
27[tex]x^{2}[/tex]logx=27logx
27[tex]x^{2}[/tex]logx/27logx=1
[tex]x^{2}[/tex]=1
This is true if x=1 , -1.
The values are equivalent if x=1 and -1 , otherwise no they aren't equivalent.
A bag contains 8 red marbles, 4 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the exact probability that all three marbles drawn
will be red?
Answer:
NO. OF RED =8
NO. OF BLUE=4
NO. OF GREEN=7
THEREFORE,TOTAL MARBLES=19
THEREFORE,PROBABILTY OF RED MARBLES=8/19.
A glucose molecule is the
smallest type of protein
monomer of starch and cellulose
largest of the carbohydrate polymers
fundamental unit of genetic material
A glucose molecule is the smallest type of protein monomer of starch and cellulose largest of the carbohydrate polymers fundamental unit of genetic material.
A glucose molecule is the monomer of starch and cellulose.
Step-by-step explanation:
Glucose is an organic molecule composed of carbon atoms, oxygen atoms, and hydrogen atoms.It has a molecular formula of [tex]C_6H_{12}O_6[/tex]It is a monosaccharide sugar, carbohydrateAn important source of an energy in living organisms.Glucose gives two different natural polymers named: starch and cellulose. This polymer is formed by linking small units of glucose molecules with each other. And this small unit which repeats in the structure of its polymer is known as a monomer.Glucose in the monomer in its natural polymer that was starch and cellulose.So from this, we can conclude that A glucose molecule is the monomer of starch and cellulose.
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What is the correct answer I will give brainlist only if correct answer ASAP
Answer:
4 tickets left
Step-by-step explanation:
Dividing 276 by 8 gives you a remainder of 4.
Which equation does not have the same solution as the others
×/3 =3
X + 9 = 12
11 x= 33
X - 2 = 1
Answer:
the first cuz in
x/3 = 3
x = 9
and in others x = 3
...............
Answer:
x/3=3
Step-by-step explanation:
because is undiferned because x can not be x/3=3
......
......
.....
...
Answer:
x+3 and x+ 2
=3x(x) 2x
=6x
1 121 12321 1234321.......56th
Answer:
Bro it is too hard to find . Hope you understand me
When y=35 evaluate -(y+5) and -y-5 to show that -(y+5)=-y-5
Step-by-step explanation:
for y = 35 we get
-(y + 5) = -(35 + 5) = -(40) = -40
-y - 5 = -35 - 5 = -40
both deliver the same result.
II
Find the area of the right triangle.
Area =
I sa
square units
1 unit
Ya
Answer:
A = 6 units ^2
Step-by-step explanation:
The area of a triangle is found by
A = 1/2 bh where b is the base length and h is the height
A = 1/2 ( 2) * (6)
A = 6 units ^2
Answer:
6 square unit is correct answer
PLEASE HELP
-10+7/4p=-38
Show your work in details if you can, I have a hard time understanding this.
Answer: p=-16
hope this helps
A radio telescope has a parabolic surface, as shown below.
A parabola opening up with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 9 meters and its width from left to right is 12 meters.
If the telescope is 9 m deep and 12 m wide, how far is the focus from the vertex?
Give the equation of a line that passes
through (9,2) and is parallel to:
y = 3x - 6
Answer:
y = 3x - 25
Step-by-step explanation:
If the line is parallel, it will have the same slope. So, the line will also have a slope of 3.
Plug in the slope and given point into y = mx + b, and solve for b:
y = mx + b
2 = 3(9) + b
2 = 27 + b
-25 = b
Plug in the slope and y intercept into y = mx + b:
y = mx + b
y = 3x - 25
So, the equation of the line is y = 3x - 25
A display case of plastic bracelets are marked 13 for $3. If Nate has $60, how many plastic bracelets can Nate get? (assume no other taxes or fees)
Answer:
$4
Step-by-step explanation:
We can write a ratio to solve
15 stickers 30 stickers
----------------- = -------------
2 dollars x stickers
Using cross products
15x = 2*30
15x = 60
Divide by 15
15x/15 = 60/15
x = 4
A rectangular plastic tub is 70 centimetres long, 30 centimetres wide, and 30 centimetres tall. How many litres of water will it hold?
2/3 divided by 3/10
Thanks
Answer:
[tex] \frac{20}{9} [/tex]
Step-by-step explanation:
[tex] \frac{2}{3} \div \frac{3}{10} [/tex]
➡️ [tex] \frac{2}{3} \times \frac{10}{3} [/tex]
➡️ [tex] = \frac{20}{9} [/tex] ✅
Which set of ordered pairs represents a function?
{(9,–7), (1, -3), (6, 7), (6, -6)}
{(-7,7), (5,3), (-7, -7),(1, -9)}
{(8,-6), (-9,2), (-9, -8), (-3,4)}
{(-5, -5),(-9,0),(-8,5), (-6,5)}
Answer:
{(-5, -5),(-9,0),(-8,5), (-6,5)}
Step-by-step explanation:
A function cannot have a domain that is assigned to multiple values (range).
The first set has 6 assigned to both 7 and -6.
The second set has -7 assigned to both 7 and -7.
The third set has -9 assigned to both 2 and -8.
Solve equation 3.2x=25.6
Answer:
x=8
Step-by-step explanation:
3.2x=25.6
Divide each side by 3.2
3.2x/3.2=25.6/3.2
x =8
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
[tex]3.2x = 25.6 \\ \frac{3.2x}{3.2} = \frac{25.6}{3.2} \\ x = 8[/tex]
in the number 58, the value of the digit 8 is ----
and the value of the digit 5 is __ ?
Answer:
8 is one's. 5 is tens.
Step-by-step explanation:
the 5 is in the tens place, and the 8 is in the ones place.
10. If I is the midpoint of SU, find x.
8x + 11
12x – 1
S
U
8x+1=RX-1
Answer:
x = 3
Step-by-step explanation:
[tex]8x + 11 = 12x - 1 \\ 8x - 12x = - 1 - 11 \\ - 4x = - 12 \\ x = 3[/tex]
The histogram below shows the number of hours per month students in Mr. Carter's class watch television. How many students watch television between 1 and 10 hours per month?
Help please! What shape is it?
Answer:
kite
Step-by-step explanation:
a kite is a quadrilateral. two adjacent sides are congruent and the other two adjacent sides are congruent
Find the opposite of: - 4x2 - 4x + 2
Answer:
4x² + 4x - 2
Step-by-step explanation:
The opposite is the negative value
The opposite of - 4x² - 4x + 2 is
- (- 4x² - 4x + 2) ← distribute parenthesis by - 1
= 4x² + 4x - 2
Help plsssssssssssssssssssssss
Answer:
Step-by-step explanation:
let Garrett orders x stickersfrom each company.
then
30+0.80x=14+1.20x
brainiest to whoever right !
Answer:
m<RST = 32°
m<TSQ = 58°
Step-by-step explanation:
m<RST here, meaning the angle of the whole diagram is 90 degrees as you can see.
m<RSQ + m<TSQ = m<RST
15x — 43 + 8x + 18 = 90
23x — 25 = 90
+25 +25
---------------------------
23x = 115
/23 /23
----------------------------
x = 5
Now, plug this into the equation for m<RSQ and m<TSQ to find their values.
m<RSQ = 15x — 43
= 15x - 43
= 15(5) - 43
= 75 - 43
= 32
m<TSQ = 8x + 18
= 8x + 18
= 8(5) + 18
= 40 + 18
= 58
Now, check to see if our values are right or not.
15x — 43 + 8x + 18 = 90
15(5) — 43 + 8(5) + 18 = 90
75 - 43 + 40 + 18 = 90
32 + 40 + 18 = 90
90 = 90 CORRECT
Solve if x measure of AOC = 7x-2 measure of AOB = 2x+8 measure of BOC = 3x+14.
Answer:
x=3[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
im assuming this a triangle if so all angles add up to 180 so combine all equations and make it so it equals 180
7x-2+2x+8+3x+14=180
Combine Like Terms: 12x+20=180
12x+20-20=180-20
12x=160
12x/12=160/12
x=13[tex]\frac{1}{3}[/tex]
An x measure of AOC = 7x-2 measure of AOB = 2x+8 measure of BOC = 3x+14 value of x is 28.33.
A three angles, AOC, AOB, and BOC, and you're given their measures in terms of x. The problem is likely asking you to find the value of x. Since these angles are in a circle, they must add up to 360 degrees.
The sum of the measures of the angles around a point is 360 degrees:
Angle AOC + Angle AOB + Angle BOC = 360
Substitute the given expressions for the angle measures:
(7x - 2) + (2x + 8) + (3x + 14) = 360
Combine like terms:
12x + 20 = 360
Now, subtract 20 from both sides:
12x = 340
Finally, divide by 12:
x = 340 / 12
x = 28.33
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find the slop of the line passing
through A (-5,1) and B (3,-2)?
Answer:
-3/8
Step-by-step explanation:
(Y1 - Y2)/(X1 - X2) = SLOPE
(1 - -2)/(-5 - 3) = 3/-8