The coordinates of Point D are (2.5, 8).
What is parallelogram?
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of equal size.
Given:
Parallelogram ABCD has vertices at A (-3, 6.5), B (-1, -1.5), and C (4.5, 0).
We have to find the coordinates of Point D.
Let its fourth vertex be D(a, b).
Join AC and BD. Let AC and BD intersect at point O.
We know that the diagonals of a parallelogram bisect each other.
So, O is the midpoint of AC as well as that of BD.
Using the midpoint formula,
Midpoint = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Here, ([tex](x_1, y_1) = (-3, 6.5), (x_2, y_2) = (4.5, 0)[/tex]
⇒ Midpoint of AC = [tex](\frac{-3 + 4.5}{2}, \frac{6.5 +0}{2}) = (\frac{1.5}{2}, \frac{6.5}{2}) = (0.75, 3.25)[/tex]
Now,
Midpoint of BD is = [tex](\frac{-1+a)}{2}, \frac{-1.5+b}{2})[/tex]
⇒
[tex]\frac{-1+a}{2} = 0.75, \frac{-1.5+b}{2} = 3.25 \\ -1 + a = 1.5, -1.5 + b = 6.50\\a = 2.5, b = 8[/tex]
Hence, the coordinates of Point D are (2.5, 8).
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Pls help me i need to fill in the boxes that dont have anything in them but i aldo need to fill in the one that says "A="
Step-by-step explanation:
[tex] \bf \red { Area: \; \boxed{ 24 } units^2} [/tex]
Formula of area of a parallelogram is :
Area of parallelogram = b × h○ b denotes base
○ h denotes height
Here,
Base of the parallelogram is 6 units and height is 4 units.→ Area of the parallelogram = 6 units × 4 units
→ Area of the parallelogram = 24 units²
[tex] \therefore [/tex] Area of the parallelogram is 24 units².
[tex] \bf \purple { Perimeter: \; \boxed{ 22 } units} [/tex]
Perimeter of parallelogram = Sum of all sidesSince, opposite sides of a parallelogram are equal. So,
○ First side = 6 units
○ Second side = 5 units
○ Third side = 6 units
○ Fourth side = 5 units
→ Perimeter = ( 6 + 5 + 6 + 5 ) units
→ Perimeter = ( 12 + 10 ) units
→ Perimeter = 22 units
[tex] \therefore [/tex] Perimeter of the parallelogram is 22 units.
[tex]\boxed{ \sf { AREA \; FORMULA }} [/tex]
[tex]\boxed { \sf { A = Base \times Height }} [/tex]
Can somone help with this please and thank you
Answer:
they are equivalent just trust me
Step-by-step explanation:
m/4n m*2 and 4n82 = 2m/9n is same as m/4n *2
Answer:
Equivalent
Step-by-step explanation:
Yes, they are equivalent, we know that because if we multiply both the numerator and the denominator of the first fraction by 2, we will get the second one.
[tex]\frac{m}{4n} = \frac{m * 2}{4n*2} = \frac{2m}{8n}[/tex]
4) There are 14 pieces of candy in a bag. Four are broken. What is the probability of reaching into
the bag and pulling out a non-broken piece?
Answer:
I would say it's a 10:4 ratio.
PLEASE HELP ME A.S.A.P! btw the activity is in Arabic.
Answer:
plz convert it i can't understand
Valentina is choosing cutlery with which to eat dinner. There are 2 knives and 10 forks to
choose from. How many different cutlery sets can Valentina choose?
cutlery sets
Answer:
it would be able to make 20 different sets. not at the same time though. you would only be able to make 2 at one time
Solve for x.
\12x + 3
13x + 2
x = [?]
Answer:
x=7
Step-by-step explanation:
25x+5=180
-5 -5
25x=175
/25 /25
In a cylindrical wooden block with a radius of 7 cm and a height of 14 cm, hemispherical blocks with
a radius of 7 cm are carved out from both ends. Find the volume of the resulting solid.
9514 1404 393
Answer:
1372π/3 cm^3 ≈ 1436.8 cm^3
Step-by-step explanation:
The diameter and height of the cylinder are both 14 cm. The resulting solid will be a 14 cm sphere. Its volume is ...
V = 4/3πr^3 = 4/3π(7 cm)^3 = 1372π/3 cm^3 ≈ 1436.8 cm^3
Helpppppp
Unit rate with fractions. A crew of landscapers mowed 1/5 of a lawn in 20
Answer:
1/5 lawn = 20 min.
? = 1 min
0.05 lawn in 1 minute
rate of 0.05 mowed per minute.
When calculating the area of a figure that is measured in feet, the answer should be reported as...
You can perform 6 push-ups in 16 seconds. Write and
graph an equation that represents the relationship between
time and the number of push-ups. At this rate, how many
pushups can you perform in 2 minutes?
Answer:
320 pushups
Step-by-step explanation:
16/6= 8/3
8/3*120=32
Nathaniel is searching for a four-leaf clover in a field. He finds 2 four-leaf
clovers during the first 12 minutes of his search. If Nathaniel spends a total of
180 minutes searching in the field, predict the number of four leaf clovers
Nathaniel will find.
Answer:
30 clovers
Step-by-step explanation:
If Nathaniel find 2 four-leaf clovers in the first 12 minutes of his search, the rate at which he finds the four-leaf clovers is:
[tex]\implies \sf Rate=\dfrac{2\;clovers}{12\;minutes}=\dfrac{1}{6}\;clovers\;per\;minute[/tex]
To predict the number of four-leaf clovers Nathaniel will find in 180 minutes, multiply the found rate by 180 minutes:
[tex]\implies \sf \dfrac{1}{6} \times 180=30\;clovers[/tex]
Therefore, Nathaniel will find 30 clovers in 180 minutes based on the rate at which he found 2 clovers.
[tex] \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=2/12×180
\: [/tex]
[tex] \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=30clovers[/tex]
Pls include step by step explaination
Answer:
X = 2/3
Step-by-step explanation:
there is some misinformation here but I’m just gonna assume these rectangles are proportional.
If the longer side for the first one is 3 and the longest side for the second is 2 meaning that the second side is multiplied by 2/3
So if we multiply 1 by 2/3, it will be 2/3 meaning x = 2/3
hope this helps :)
Select the correct answer.
Rewrite the following
equation as a function of x.
25.34 – 6257 – 500 = 0
OA f(x) = 1 1 1 1 2 4 - 2
B. f(1) = -25r4 +
C. f(x) = 2534 -
D. f(1) = 2*4 +
Іст
Answer:
C
Step-by-step explanation:
Juanita runs every fifth day and swims every third day. If Juanita runs and swims today, in how many days will she run and swim again on the same day?
Answer:15
Step-by-step explanation:multiples of 3 and 5 and the LCM of 5 and 3 is 15
Answer:
nadara y correra hasta dentro de 15 días
Step-by-step explanation:
3 y 5 se multiplican y dan 15, entonces durante ese tiempo, Juanita correra 2 veces y nadara 4 veces, cuando sea el día en el que correra por tercera vez, tambien será el día en el que nadará por quinta vez
Describe the transformation between these two lines.
Answer:
To get black from red ...
scale by a factor of 3reflect over the x-axisshift left 1 unitshift up 4 unitsStep-by-step explanation:
You want the know the transformation that is applied to the red graph to make it be the black graph.
ObservationWe note that the vertex of the black graph is (-1, 4), which is 1 unit left and 4 units up from the vertex of the red graph.
The black graph opens downward, and has a slope of ±3 compared to the slope of ±1 for the red graph. This means it has been reflected across the x-axis and scaled by a factor of 3.
TransformationThe reflection and scaling can both be accomplished by multiplying the function by -3. The translation is accomplished by adding 4 to the function value to shift it up 4 units, and adding 1 to the x-value to shift the graph left 1 unit.
The transformations applied to the red graph are ...
scale by a factor of 3reflect over the x-axisshift left 1 unitshift up 4 unitsSimplify: (6a +5)(4a+5)
Answer:
24a^2 +50a+25
Step-by-step explanation:
Evaluate the ex’s press ion when a=2 and c= -6. 2a+c
Step-by-step explanation:
2a+c
=2( 2+(-6) )
=2( -4 )
= -8
Math homework help please
Answer:
option 1 is correct
y= 1/2 cos 2x
Explanation
put x= 0
as cos 0= 1
y= 1/2= 0.5
Now put x = π/4
y= 1/2 cos 2*(π/4)=1/2 cosπ/2=0
as cosπ/2=0
750 dag = kg can u help me
PLEASE HELPP
Classify the solid.
Your answer
Answer:
Pentagonal pyramid
Step-by-step explanation:
Hope this helps
What is the probability of the spinner landing on the section labeled G?
Hi there!
[tex]\large\boxed{P = \frac{1}{4}}[/tex]
We can assume from the image that the region G is approximately 1/4 of the total spinner.
Thus, the probability of the spinner landing on section G is 1/4.
Which problem situation matches the
equation $95.25 = 15p?
A Cassie is paid $95.25 for 15 hours
of work. Find p, the amount she
was paid per hour.
B Kris is paid $6.35 per hour for
mowing the lawn. Find p, the
amount he is paid for 15 hours of
mowing.
CA iPad was on sale for $95.25. Find
p, the amount Noah needs to buy
the iPad if he already has $15.
D Fifteen friends spend $95.25 each
for tickets to a Cowboy's game.
Find p, the amount they paid total.
Answer:
Step-by-step explanation:
Which problem situation matches the
equation $95.25 = 15p?
So We Can Just Cross B Cause $6.35 Wasnt Even In The equation
Lets look at A.
So Im pretty sure its A, But Lets look at the rest.
.
D Wouldnt Work Cause It Says The Spend $95.25 EACH
C dont work so its A.
Green Valley Middle School wants to raise $7,500 for new equipment. If grades 6 and 7 each raise $2,450.25, how much money does grade 8 need to raise?
Answer:
2599.50
Step-by-step explanation:
7500 - 2(2450.25) = 2599.50
Please help me solve this problem
9514 1404 393
Answer:
{f(x), g(x)} = {x^4, x(x+4)}
Step-by-step explanation:
If we look at the composite function from the point of view of the Order of Operations, we see the operations performed on x are ...
x is squaredx is multiplied by 4these products are addedthe sum is raised to the fourth powerFrom the point of view of decomposition, we want the outer function (f(x)) to be one that can be applied to the expression produced by the inner function (g(x)). Looking at our list, we find that raising an expression to the 4th power could qualify as the outer function we want. (We could also use raising to some other power, if we wanted.)
So, f(x) = x^4.
This leaves ...
f(g(x)) = f(4x +x^2)
so, g(x) = 4x +x^2.
One possible set of functions is ...
{f(x), g(x)} = {x^4, x(x+4)}
Write the nth term of the following sequence in terms of the first term of the sequence.
1, 8, 15, 22, ...
Answer:
a(n) = 1 + 7(n-1)
Step-by-step explanation:
Solve and graph the inequality
7n - 1 > 76
Answer:
n>11
Step-by-step explanation:
The solution to the inequality 7n - 1 > 76 is n > 11, so the correct option is C.
To determine and graph the inequality 7n - 1 > 76;
First Add 1 to both sides of the inequality to isolate the variable term.
7n - 1 + 1 > 76 + 1
7n > 77
Divide both sides of the inequality by 7 to solve for n.
(7n) / 7 > 77 / 7
n > 11
Since n is greater than 11, the graph will be an open circle on 11, and an arrow extending to the right.
Therefore, the solution to the inequality 7n - 1 > 76 is n > 11, so the correct option is C.
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what is the time and place in which events happen?
a.conflict
b.plot
c.settings
d.theme
Answer:
What is the time and place in which events happen?
a. conflict
b. plot
c. settings
d. theme
The answer is setting because it's the condition, time, and place in which events or actions happen.
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A club plans to sell tote bags. The club members estimate they will sell 100 tote bags when the bags are priced at $11 each. For every price increase of $1, they estimate they will sell 10 fewer bags. What is the estimated revenue, in dollars, when the bags are priced at $13 each?
Answer: The club members estimate that they will sell 100 tote bags when the price is $11 each, and for every price increase of $1, they estimate they will sell 10 fewer bags. If the price increases to $13, then this is a $2 increase from the original price, so we can calculate the number of fewer bags they estimate they will sell:
10 fewer bags per $1 increase * $2 increase = 20 fewer bags
To find the number of bags they estimate they will sell when the price is $13, we can subtract this decrease from the original number of bags they estimate they will sell:
100 bags - 20 fewer bags = 80 bags
To find the revenue in dollars, we can multiply the number of bags they estimate they will sell by the price of the bags:
80 bags * $13 per bag = $1040
So the estimated revenue when the bags are priced at $13 each is $1040
Step-by-step explanation:
You just rolled two standard 6-sided number cubes. What is the probability the first cube shows a 3 or the sum of the two cubes is 4 or 9?
Which conditional statement has a false converse? If a figure is a square, then it has four sides. If a point has x-coordinate 0, then it lies on the y-axis. If two angles are congruent, then they have the same measure. If two planes are parallel, then they have no points in common.
The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.
What is the conditional statement?There have been two main categories of arguments in the studies of logic: conditional statements and polyamorous statements. These assertions, which are referred to as compound statements, are created by combining two other statements.
The converse statement should also be true when its condition is reversed.
Let's check all the options. Then we have
A. If a figure is a square, then it has four sides. The converse of the statement is false.
B. If a point has an x-coordinate 0, then it lies on the y-axis. The converse of the statement is true.
C. If two angles are congruent, then they have the same measure. The converse of the statement is true.
D. If two planes are parallel, then they have no points in common. The converse of the statement is true.
The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.
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