Answer:
4(x + 1) and 4(x - (-1))
Step-by-step explanation:
4(-1 + 1) = 4(0) = 0
(4 (-1) + 5) = -4 +5 = -1
4(-1 - 1) = 4(-2) = -8
(5 - 4(-1)) = 5 + 4 = 9
4(-1 - (-1)) = 4(0) = 0
4 (-1 + (-1)) = 4(-2) = 8
Given that ABCD is a parallelogram with diagonals intersecting at M. Segment PQ is drawn such that P lies on AB and Q lies on DC and it passes through M. Prove that PM is congruent to QM.
Answer:
we thus have enough informnation to prove that the two triangles are congruent. Because of thism, one side of the triangles, Pm which is the congruent side to that of PQ must be equal as well and
PM = QM
Step-by-step explanation:
because it's a parrallelogram, Ad = BC and AB = DC.
P passes through both AB and DC on a diagonal, angles created by P have oppoiste exterior angles of eachother.
the diagonals of AC create congruent angles at DMC and AMB and because P is cutting through them, the angles P cuts at DMQ and QMC are equal to that of AMP and PMB
that being said, we now see that the angles of APM triangle and AMC triangol are equal and because the diagonal of BD is is being cut by AC, which AD is parralel to BC and AB to Dc, we know now that lines AM and MC are congruent
we thus have enough informnation to prove that the two triangles are congruent. Because of thism, one side of the triangles, Pm which is the congruent side to that of PQ must be equal as well and
thus PM = QM
The alternate interior angles formed by the parallel sides and a common
transversal are equal, such that ΔPBM and ΔQDM are congruent.
Correct response;
PM is congruent to QM by CPCTCHow is the congruency of the segments determined?The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
ABCD is a parallelogram [tex]{}[/tex] Given
AC and DB are diagonals of ABCD [tex]{}[/tex] Given[tex]{}[/tex]
M is the point of intersection of the diagonals [tex]{}[/tex] Given
MB ≅ DM, and AM ≅ CM;[tex]{}[/tex] Properties of the diagonals of a parallelogram
∠PMB ≅ ∠DMQ [tex]{}[/tex] Vertical angles theorem
∠PBM ≅ ∠QDM [tex]{}[/tex] Alternate interior angles theorem
ΔPBM ≅ ΔQDM [tex]{}[/tex] Angle-Side-Angle Congruency post.
PM ≅ QM [tex]{}[/tex] CPCTC
ΔPBM is congruent to ΔQDM by Angle-Side-Angle congruency
postulate, given that they have two angles and an included side that are
congruent.
Therefore;
PM is congruent to QM by Corresponding Parts of Congruent Triangles are Congruent, CPCTC.Learn more about congruency postulates here:
https://brainly.com/question/17003791
HELP ME PLEASEEEEEEE
Answer:
Step-by-step explanation:
cos o = adjacent side /hypothenuse = OQ / PO
These two triangles are congruent. Which side of triangle PQR is the same length as AB?
RP or PR
QR or RQ
PQ or QP
Answer:
QR OR RQ
,,,,,,,,,,,,,,,,,
Which one is it? I got confused plz help
Answer:
Red: 2.035 x 10(4)
Step-by-step explanation:
Answer:
Red.
Step-by-step explanation:
Scientific notation consists of the ones place with a decimal right after it and a 10 to the something power next to it, therefore red is your answer.
Please help ill mark brainliest ✅✅✅✅
Answer:
i think y=3/4x-4.2
Step-by-step explanation:
The distance from Jason's house to school is 0.2 kilometer. What is this distance in meters?
Answer:
200 Meters!
Step-by-step explanation:
Answer:
200 m
Step-by-step explanation:
Distance from Jason's house to school = 0.2 kilometers
Converting into metres
0.2 km = 0.2 * 1000 m = 200 m
Hope it will help :)
help i didnt learn anything the method is distance
Answer:
10 units
Step-by-step explanation:
Of course you have to graph the two points to find out the answer.
Then you count the units or squares to find out how far they are.
So it was basically 6 units to the right and 4 units up :)
Hope this helped plz mark brainliest :))
Trombonium has a half-life of 4200 years. How long will it take an object
composed of Trombonium to decay to 10% of its original mass
Answer:
420 years
Step-by-step explanation:
Um plz help me!!!!
I will give brainliest
Answer:
15, 30, 45
Hope this helps.
Answer:
15,30,45
Step-by-step explanation:
Hope this Helps!
:)
π/4 equals how many degrees?
270
90
45
360
Answer:
your answer would be 45 :)
Step-by-step explanation:
Please Help Me I don’t understand
Answer:
The answer is 35 and here is why!
Step-by-step explanation:
It is because, m = 10
So, therefore 3.5m = 3.5*m = 3.5 * 10
Therefore, answer is 35.
Hope this helps.
A carton of milkshake comped with 25% extra free. A normal size carton is 320ml calculate the volume of milkshake in the larger carton. find 25% of 320
Step 1: Our output value is 350.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$350=100\%$.
Step 4: Similarly, $x=25\%$.
Step 5: This results in a pair of simple equations:
$350=100\%(1)$.
$x=25\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{350}{x}=\frac{100\%}{25\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{350}=\frac{25}{100}$
$\⇒x=87.5$
Therefore, $25\%$ of $350$ is $87.5$
a chef made 30 Donuts in 60 minutes. how long would it take him to make 90 Donuts?
Answer:
180 minutes
Step-by-step explanation:
90×60/30= 180
01:44:56
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?
Answer: the equation would be 5n=1,500
Step-by-step explanation:
5 dollars per N (student) they need to make 1,500 so you need to find n
( to find N do 1,500 divided by 5 = 300
Find the product (4x - 3y)3
Answer:
12x - 9y
Step-by-step explanation:
According to the distributive property:
3(4x - 3y) =
3*4x - 3*3y =
12x - 9y
Answer:
12x - 9y you can't subtract different variables so multiply by them both by the left over constant and get the expression of 12x - 9y
Step-by-step explanation:
Hewo do u know fractions because I am dying from it T-T
1/2+___=7/6
Help T-T
Answer:
1/2 + 4/6 = 7/6
Step-by-step explanation:
1/2 would be 3/6 so add 4/6 would be 7/6 uwu.
Hope this helps :)) Plz mark brainliest :))
On a hot day, a soccer team drank an
entire 50 gallon cooler of water, and then
drank half as much again.
How much water did they drink?
I’ll give u brainliest if u show how you got the answer :D
Answer:
75 gallons
Step-by-step explanation:
50+(50/2)=
50+25= 75
(1/2 of 50 is 25)
Answer:
75 gallons
Step-by-step explanation:
Soooooo
they drank 50 gallons and then they drank half as much as they just drank
50/2 =25 -to get half of what they just drank
50 + 25 =75 - the original 50 gallons + half of that.
can someone help me out it would be great if u can explain it.
Answer:
113.1
Step-by-step explanation:
formula for circle is pie X radius^2
x/3=-7
find the variable
Answer:
x=−21
Step-by-step explanation:
Answer: x=-21
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1 /3 x =−7
Step 2: Multiply both sides by 3.
3*( 1/3 x)=(3)*(−7)
x=−21
Triangle ABC has Vertices A(1, 2), B(3, 5), and C(4, 3). Using the origin as the center of dilation, Triangle ABC is dilated by a scale factor of 3 to create Triangle A ′ B ′ C ′ . Which statement can be used to justify that Triangle ABC is similar to Triangle A ′ B ′ C ′ ?
Answer:
AA ≅ AA postulate
Step-by-step explanation:
Given
[tex]A=(1,2)[/tex]
[tex]B = (3,5)[/tex]
[tex]C = (4,3)[/tex]
[tex]k = 3[/tex] --- scale factor
Required
Determine which statement that justifies the similarities between ABC and A'B'C'
When ABC is dilated by a scale factor of 3 to form A'B'C', the sides A'B'C are 3 times as large as the sides of ABC.
However, all three angles of both triangles remain the same. This is so, because dilation do not affect angles.
So, a statement that can be used to justify the similarities is: AA ≅ AA
(2^5 x 3^6) / (2^3 x 3^4)
Answer:
36
Step-by-step explanation:
(2^5 x 3^6) = 23328
(2^3 x 3^4)= 648
(23328/648) = 36
Answer:
36 will be your answer
Step-by-step explanation:
Hope this helped! :)
A bookstore pays $28 for a copy of a textbook. The bookstore sells the textbook for $42. What is the percent markup on the textbook?
Answer:
50%
Step-by-step explanation:
28×0.50= 14
14+28= 42
#CarryOnLearning
#MarkAsBrainliest
I need help
The radius of a circle is 3 meters. What is the area of a sector bounded by a 180° arc?
Help me need the answer!!!!!
Answer:
Hope that helps
Step-by-step explanation:
b) two pairs that are solutions
x>=-4
x>=-4x<=1
-4<=x<=1
two pairs that are not solutions
-18<x<-13
h+8g
g=5 and h=4
I am not very quick at these and I need an answer ASAP
please!!
Answer:
44
Step-by-step explanation:
4+8(5)
Multiply 8 by 5
4+40=44
Add 4 to the product (40) to get the final answer of 44
Remember PEMDAS
Simplify the expression completely.3 m−3n5−4n4(−4m5n−4)
Answer:
16[tex]m^{5}[/tex] [tex]n^{5}[/tex]- 3[tex]n^{5}[/tex] + 16[tex]n^{4}[/tex] + m
Step-by-step explanation:
PEMDAS and the Distribution Proporty.
Answer:
16m 5n5 - 3n5 +16n4 +3m
Step-by-step explanation:
the number in bold is the exponents dont know how to put them up there
5|x + 11 + 7 = -38
Absolute value equations
A cookie recipe has 3 eggs for
every 1 dozen cookies.
How many eggs are in 3 dozen cookies?
Answer:
9 eggs
Step-by-step explanation:
1 dozen = 3 eggs
2 dozens = 6 eggs
3 dozens = 9 eggs
jon had 500 apples and he gets 111100 more apples. how many apples dose jon haver in all
Answer:
1111600 lol
Step-by-step explanation:
-8x=-64
find the variable
Answer:
x=8
Step-by-step explanation:
8x/8 =64/8
x=2 6/2 3
x=2 6-3
x=2 3
x=8