Answer:
Justin is 5 yrs old
Step-by-step explanation:
make an equation out of it. Let x be Justin's age
1/4(12)+2=x
simplify
3+2=x
x=5
Justin's age is 5 years.
What is linear equation in one variable?The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question
Justin is 2 years older than 1/4 of his brother's age.
Let the age of Justin be x years.
Also, Justin's brother age is 12 years.
Therefore,
The age pf Justin is given by
[tex]x = 2 + \frac{1}{4}(12)[/tex]
solve the above linear equation
⇒ x = 2 + 3
⇒ x = 5 years
Hence, Justin's age is 5 years.
Learn more about linear equation here:
https://brainly.com/question/17139602
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what is the length of AC?
• 10
• 12
• 15
• 20
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 :))
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
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
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.
π/4 equals how many degrees?
270
90
45
360
Answer:
your answer would be 45 :)
Step-by-step explanation:
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
una fotografía se reduce a una escala de 1:3 y enseguida se reduce nuevamente con una escala de 1:4 ¿cuáles la reduccion total que sufre la fotografía original?
Answer:
I don't speak that language
HELP ME PLEASEEEEEEE
Answer:
Step-by-step explanation:
cos o = adjacent side /hypothenuse = OQ / PO
What is the volume of a cylinder with a radius of 4 yards and a height of 6 yards
Answer:
301.59 yards
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!
:)
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:
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:
I need help
The radius of a circle is 3 meters. What is the area of a sector bounded by a 180° arc?
Swimming Pool On a certain hot summer's day, 236 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled $525.00. How many children and how many adults swam at the public pool that day?
Answer:
Step-by-step explanation:
[tex]a+c=236\\ \\ a=236-c\\ \\ 1.5c+2.5a=525\\ \\ 1.5c+2.5(236-c)=525\\ \\ 1.5c-2.5c+590=525\\ \\ -c=-65\\ \\ c=65\\ \\ a=236-65\\ \\ a=171\\ \\ \text{So there were 171 adults and 65 children at the pool that day.}[/tex]
Help please. A store has a sale. Customers can buy one item at full price and take 50% off the cost of a second item with a lesser price. Nikia buys one item with a price of $80 and another item with a price of $120. With the sale, what percent discount does Nikia receive on her total purchase?
Answer:
Your answer
70% discount on total price
Mark it as Brainlist. Follow me for more answer.
Step-by-step explanation:
[tex]\sqrt{(-81)x^{2} }[/tex]
Answer:
We conclude that:
[tex]\sqrt{\left(-81\right)x^2}=9ix[/tex]
Step-by-step explanation:
Given the radical expression
[tex]\sqrt{\left(-81\right)x^2}[/tex]
simplifying the expression
[tex]\sqrt{\left(-81\right)x^2}[/tex]
Remove parentheses: (-a) = -a
[tex]\sqrt{\left(-81\right)x^2}=\sqrt{-81x^2}[/tex]
Apply radical rule: [tex]\sqrt{-a}=\sqrt{-1}\sqrt{a},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=\sqrt{-1}\sqrt{81x^2}[/tex]
Apply imaginary number rule: [tex]\sqrt{-1}=i[/tex]
[tex]=i\sqrt{81x^2}[/tex]
Apply radical rule: [tex]\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]
[tex]=\sqrt{81}i\sqrt{x^2}[/tex]
[tex]=9i\sqrt{x^2}[/tex]
Apply radical rule: [tex]\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=9ix[/tex]
Therefore, we conclude that:
[tex]\sqrt{\left(-81\right)x^2}=9ix[/tex]
-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
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
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
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.
What is the length of the hypotenuse of right ΔUVW shown?
Question 8 options:
A)
42
B)
41
C)
D)
99
Answer:
B - 41
Step-by-step explanation:
A squared + B squared = C squared
40 squared + 9 squared = X squared
the answer is 41
Step-by-step explanation:
Step-by-step explanation:
A squared + B squared = C squared
40 squared + 9 squared = X squared
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
(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 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:
5|x + 11 + 7 = -38
Absolute value equations
select all that are equal to 5³x 5⁻⁷
Answer:
The third and fifth are correct
The second one is NOT correct
Any consecutive sides of a parallelogram are parallel.
A. Always True
B. Sometimes True
C. Never true
ANSWER:Any consecutive sides of a parallelogram are parallel?
A. Always True is your answer.
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 :)