Answer and Step-by-step explanation:
A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles. A rectangle has all the properties of a parallelogram, plus the following: The diagonals are congruent.
Definition 1: A parallelogram is a four sided figure where the opposite sides are parallel.
Theorem 1: In a parallelogram, the opposite sides are of equal length.
Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram.
Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other.
Theorem 4: If one pair of opposite sides in a four sided figure are both opposite and parallel, then the figure is a parallelogram.
Definition 2: A rectangle is a quadrilateral where all four angles are the same size.
Theorem 5: A rectangle is a parallelogram.
Theorem 6: A rectangle is a parallelogram if and only if the diagonals are the same length.
Definition 3: A rhombus is a quadrilateral where all four sides have the same length.
Theorem 7: A rhombus is a parallelogram.
Theorem 8: A quadrilateral is a rhombus if and only if the diagonals are perpendicular bisectors of each other.
Theorem 9: A quadrilateral is a rhombus if and only if the diagonals bisect all the vertex angles.
#teamtrees #PAW (Plant And Water)
The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately 10.9 degrees. If skyscraper B is 1425 feet tall, how far apart are the two skyscrapers? Assume the bases of the two buildings are at the same elevation.
Answer:
269.46
Step-by-step explanation:
sin(theta) = opposite / adjacent
adjacent = opposite / sin(theta)
adjacent = 1425*sin(10.9)
adjacent = 269.4610063
This graph shows the altitude of an airplane over time. Which story matches the graph?
A. The aircraft rose quickly into the air at takeoff, and then it continued at a constant altitude.
B. The aircraft rose steadily over the entire flight.
C. The aircraft rose quickly to its maximum height, and then it immediately began going back down toward the ground.
D. The aircraft rose quickly into the air at takeoff, and then it rose slowly for the rest of the flight. PLS ONLY PUT REAL ANSWERS
Answer:
A) The aircraft rose quickly into the air at takeoff, and then it continued at a constant altitude
Step-by-step explanation:
The line in the graph quickly rose up and it was straight for the rest so it matches the senerio that A is giving
A silverware drawer contains 9 forks, 12 spoons, and 7 knives. One piece of silverware is selected at random from the drawer.
What is the probability that a spoon is selected?
Enter your answer as a decimal to the nearest hundredth in the box.
Answer:
The answer is 0.42
Step-by-step explanation:
First we add all the item counts
9 + 12 + 7 = 28
then we divide the number of spoons by 28
12/28 = 0.42
Hope this helps :)
The probability that the selected silverware from the drawer is a spoon is 12/28 or 0.42.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
A silverware drawer contains 9 forks, 12 spoons, and 7 knives. The total number of items present in the drawer is,
[tex]n=9+12+7\\n=28[/tex]
One piece of silverware is selected at random from the drawer. The drawer contains 12 spoons.
Thus, the probability that a spoon is selected from the drawer which contains 28 silverware is,
[tex]P=\dfrac{12}{28}\\P=0.42[/tex]
Hence, the probability that the selected silverware from the drawer is a spoon is 12/28 or 0.42.
Learn more about the probability here;
https://brainly.com/question/24756209
Mateyo is building a rectangular prism with a volume of 1000 cubic units. The height of the prism is 10 units. Mateyo claims that the base of the prism must be a square. Draw a base for th rectangular prism that shows that Mateyo is not correct. Remember to label the units.
Answer:
See attachment for drawing
Step-by-step explanation:
Given
[tex]Volume = 1000[/tex]
[tex]Height = 10[/tex]
Required
Drawing that proves Mateyo wrong
First, calculate the base area
[tex]Volume = Base\ Area * Height[/tex]
This gives:
[tex]1000= Base\ Area * 10[/tex]
Divide both sides by 10
[tex]100= Base\ Area[/tex]
Rewrite as:
[tex]Base\ Area = 100[/tex]
The base area is calculated as:
[tex]Base\ Area = Length * Width[/tex]
So, we have:
[tex]Length * Width = 100[/tex]
Mateyo's claim can be interpreted as:
[tex]Length = Width = 10[/tex]
However, there are other possible cases such that:
[tex]Length \ne Width[/tex]
For instance:
[tex]Length = 20[/tex]
[tex]Width = 5[/tex]
See attachment for drawing
If the circumference of the circle below is 90, what is the length of the minor arc)? 609 A. 90 B. 15 C. 30 D. 10
Answer:
arc XY = 15 units
Step-by-step explanation:
GIVEN :-
Angle subtended by arc XY at center = 60°Circumference of the circle = 90 units.TO FIND :-
Length of XYFACTS TO KNOW BEFORE SOLVING :-
Length of arc of the sector = [tex]\frac{\theta}{360} \times (Circumference \: of \: the \: circle)[/tex] where θ is the angle subtended by arc of the sector at the center of the circle.
SOLUTION :-
[tex]XY = \frac{60}{360} \times 90 = \frac{90}{6} = 15[/tex]
PLEASE HELP WITH ANSWER ITS DUE TOMORROW
Answer:
A: 46 meters at 3 seconds
B: 0 meters at 6.033 seconds
C. It depends where the tree is
D. 6.033 seconds
Step-by-step explanation:
A. To find max height, we need to find the vertex.
We can do this by using vertex from y=a(x-h)+k for y=a^2+b^2+c^2
h(t) = -5t^2+30t+1
h(t)+45 = - 5x^2+30x+45+1
h(t)+45= -5(x^2-6x-9)+1
h(t)+45 = -5(x-3)^2+1
h(t) = -5(x-3)^2+46
Hence, the max height is 46 at 3 seconds
B. The minimum height is 0 meters because of the problem
C. It depends because the parabola intersects x=10 in 2 places meaning that you need the tree to be in either of these two places to intercept the horseshoe
D. -5x^2+30x+1=0
5x^2-30x-1=0
x= (30+-sqrt(30^2-4*5*-1))/2*5
x=(30+-sqrt920)/10
x=3+-2sqrt230/10
x=3+-sqrt230/5
This means that x = -0.033 or 6.033. Negative value doesn't make sense so it's 6.033 seconds
On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4).
If a translation of is applied to square ABCD, what is the y-coordinate of B'?
Answer:
-2
Step-by-step explanation:
Answer:
its -8
Step-by-step explanation:
i got it rigth on edge
22(4+16)=
A. 404
B. 440
C. 504
D. 540
Answer:
b. 440
Step-by-step explanation:
1. use PEDMAS (parenthesis, exponent, division, mulitply, add, subtract)
[tex](4+16)22=20*22[/tex]
22*2=44
22*20=440
The number of students in a classroom is 46. If there are 12 girls more than boys, how many boys are there?
Answer:
i think 34
Step-by-step explanation:
1/3 cups of milk each time how many batches can she make if i only have 11/12 of a cup of milk left
Answer:
2 3/4
Step-by-step explanation:
If the graph is reflected across the y-axis, what will be the equation of the new graph?
a) y=-3^-x+1
b) y=3^-x+1
c) y=-3^x-1
d) y=-3^x+1
Answer:
[tex] \displaystyle b)y = { 3}^{ - x} + 1[/tex]
Step-by-step explanation:
we are given a exponential function
[tex] \displaystyle y = {3}^{x} + 1[/tex]
we want to figure out the equation of the new graph reflected across the y-axis
remember that,
[tex] \rm\displaystyle (x,y) \xrightarrow{ \text{ reflection over y - axis}}( - x,y)[/tex]
let y be [tex]3^x+1[/tex] so,
[tex] \rm\displaystyle (x,y) \xrightarrow{ \text{ reflection over y - axis}}( - x, {3}^{ - x} + 1 )[/tex]
hence,
the equation of the new graph
[tex] \displaystyle y = { 3}^{ - x} + 1[/tex]
Put the number in the boxes m
Answer:
Step-by-step explanation:
25 in m<MNT 6 in <mNTQ
PLEASE HELP FAST 30 POINTS! For Trancescient
c = 22.3 km
Step-by-step explanation:
You can solve this problem using cosine law:
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \gamma ) [/tex]
where a and b are the legs of the triangle, c is the unknown length and the angle gamma is the angle opposite length c. We know that
a = 50 km
b= 52.4 km
gamma = 25°
c^2 = (50 km)^2 + (52.4 km)^2 -2(50)(52.4)cos25°
= 496.707 km^2
or
c = 22.3 km
What type of angle is shown on the protractor below?
Protractor with an angle that's greater than 90°, but less than 180°.
reflex
acute
obtuse
right
Answer:
obtuse
Step-by-step explanation:
The angle on the protractor is 113 degrees, which makes it an obtuse angle.
Obtuse angle is any angle greater than 90° and the angle shown is 133°
А B H What is the area of a cross section that is parallel to face BFGC? 7 cm 32 cm D 12 cm C Enter your answer in the box. cm2
Answer: Answer
4.0/5
37
jdoe0001
Genius
13.9K answers
122.5M people helped
check the picture below.
notice, the cross-section is just a 6x36 rectangle, and its area is, well just 6*36.
Step-by-step explanation: hope this helped
Help and explanation
Answer: do 8-10 = 2 the do 8+10= 18 then 18+2=20 so your answer is 20
Step-by-step explanation:
I need help with this now pls!!
Answer:
first box 9.6 2nd box 7.2 third box 12
Step-by-step explanation:
9.6 is the missing height 12 is the hypotenuse is always last
Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures
14
oun
ounces. Which is the correct
shampoos his dog and the bottle of shampoo originally contained 30-1
value of x, the number of times Nico can bathe his dog using this one bottle?
O 12x-3 - 302x- 22 times
o 1x
14x+3 - 302; x = 27 times
14x+3-30,
o 14x-3- 30-31 x - 27 times
X-22 times
Answer:
22 times
Step-by-step explanation:
C
Ms. Edwards can spend, at most, $250 on new books for the school library. She will buy a reference book on birds for $30 and a reference book on the planets for $14.95. Let x represent the amount of money Ms. Edwards can spend on other books. Write an inequality that correctly describes this situation.
Answer:
x ≤ 205.05
Step-by-step explanation:
x = dollar amt remaining for other books
30 + 14.95 + x ≤ 250
44.95 + x ≤ 250
x ≤ 205.05
x ≤ $205.05 is an inequality that correctly describes this situation.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Let's use x to represent the amount of money Ms. Edwards can spend on other books.
We know that Ms. Edwards can spend at most $250 in total and that she will already spend $30 + $14.95 = $44.95 on the reference books on birds and planets.
Therefore, the amount she has left to spend on other books is:
x = $250 - $44.95
x = $205.05
Ms. Edwards can spend up to $205.05 on other books.
To write this as an inequality, we can use the less than or equal symbol since Ms. Edwards cannot spend more than $205.05:
x ≤ $205.05
Therefore, the inequality that correctly describes this situation is:
x ≤ $205.05
Learn more about algebraic Expression here:
https://brainly.com/question/953809
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Can someone help me with this it is for mathh.
Answer: it would be P=4n
An athlete jumps these 4 distances in a long jump competition.which jump does not round to 4.7 meters
Answer:
sadadacvfbrdgsdzf
Step-by-step explanation:
Please help, I'm behind
on the map the scale shown is 1 inch:20 miles if a city is 900 square miles what is the area of the city on the map
Answer:
45 square inches
Step-by-step explanation:
[tex]\frac{1}{20} = \frac{x}{900}[/tex]
to find x you need to divide 900 by 20
[tex]\frac{1}{20} = \frac{45}{900}[/tex]
PLS HELP ME
what is the equation I really need it
Answer:
2,1 ig
Step-by-step explanation:
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
(6x+1)^2
Step-by-step explanation:
Factor using the perfect square rule.
what is the sum of the interior angles ?
Answer:The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.
Step-by-step explanation:
Determine whether the sequence is arithmetic or geometric.
Sequence 1: 32, 16, 0, –16, ...
Sequence 2: 32, 16, 8, 4, ...
Which of the following statements are true regarding Sequence 1 and Sequence 2.
Answer:
Sequence 1 is arithmetic, sequence 2 is geometric.
Step-by-step explanation:
Sequence 1 is being subtracted by 16 each time, so it is arithmetic.
Sequence 2 is being divided by 2 each time, so it is geometric.
Both, sequence 1 and 2, have terms 32 and 16.
What is Limit of g (x) as x approaches 29g(x), if it exists?
Answer:
b
Step-by-step explanation:
edge
Answer: the answer is b
Step-by-step explanation:
got it right edge 2022
need extreme help plssss
Answer:
The best answer is F
Step-by-step explanation:
It is F because it is the only number that is on the table above
__% of 15 is 6 what do you think the answer is pleas help because I love you all
Answer: 40
Step-by-step explanation: :)
Answer:
let no be x.
we have
x% of 15=6
15x=600
x=600/15
x=40
So
40% of 15 is 6.