Answer:
50cm, 99cm, 145cm
Step-by-step explanation:
The perimeter is just the distance around the triangle. We have all three sides.
So
(x+2) + (2x + 3) + (3x + 1) = 294
Combine like terms
6x + 6 = 294
Subtract 6 on both sides
6x = 288
Divide 6 on both sides
x = 48
So the sides are
x + 2 = 48 + 2 = 50 cm
2x + 3 = 2(48) + 3 = 96 + 3 = 99 cm
3x + 1 = 3(48) + 1 = 145 cm
Checking, first:
50 + 99 + 145 = 194 cm
Plug in x = 48 to the original equation.
48 + 2 + 2(48) + 3 + 3(48) + 1 = 294
48 + 2 + 96 + 3 + 144 + 1 = 294
294 = 294
The lengths of the sides of the triangle are 50 m, 99 m, and 125 m.
What is the perimeter of a triangle?The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.
The sides of triangle are x + 2, 2x + 3, and 3x + 1.
Given that the perimeter of a triangle is 294 cm
Since the perimeter of a triangle is the addition of the lengths of the triangle's three sides.
So the perimeter of a triangle = sum of all sides
⇒ x + 2 + 2x + 3 + 3x + 1 = 294
⇒ 6x = 294 - 6
⇒ x = 288/6
⇒ x = 48
So the length of the first side = 2+48 = 50
So the length of the second side = 2(48 ) +3 = 99
So the length of the second side = 3(48) + 1 = 125
Thus, the lengths of the sides of the triangle are 50 m, 99 m, and 125 m.
Learn more about the perimeter of a triangle here:
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What is the area of this figure?
4 m
3 m
2 m
3 m
2 m
9 m
6 m
5 m
Write your answer using decimals, if necessary.
square meters
Answer:
63
Step-by-step explanation:
Area = large rectangle + small rectangle + triangle
A = (L1 * W1) + (L2 * W2) + 1/2 base * heigth)
A = (9 * 5) + (2 * 3) + 1/2(((2 + 5 + 2) - (3)) * 4))
A = 45 + 6 + 1/2((9 - 3) * 4)
A = 51 + 1/2(6 * 4)
A = 51 + 1/2(24) = 51 + 12 = 63
The product of 4 and a number x
Answer:
you can`t multiply an integer with a variable unless the variable represents something
ex: if x = 10 then the product of 4 and x is 40
Answer:
4x
Step-by-step explanation:
'Product' refers to multiplication.
If f(x) = ax + b represents a linear function, describe the a and b values that produce a constant function?
In f(x)=ax+b, 'a' is the slope and b is the initial value or y intercept
Given :
Given function is f(x)=ax+b
f(x)=ax+b is the linear equation
The graph of a linear equation is a line. The value of 'a' tell us the steepness of the line that is the slope of the line .
'b' is the initial value . when x=0, f(x)=a(0)+b
that is f(0)=b
So, 'b' is the initial value or y intercept.
Learn more : brainly.com/question/13407962
Reflect the line segment across the x-axis. Then, rotate it 90° clockwise. Finally,
translate it down 2 units. What is the relationship between the original line segment and the transformed line segment? If you
transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?
if2×4^a-3=16^a÷8^1-a
[tex].[/tex]
2×4^a-3= 16^a÷8^1-a
Answer:
Correct option is
B
10
Given2
2x−y
=32
⇒2
2x−y
=2
5
⇒2x−y=5−−−−(1)
Again2
x+y
=16
⇒2
x+y
=2
4
⇒x+y=4−−−−(2)
Adding(1)and(2)weget
3x=9
⇒x=3
Substitutingx=3in(2)weget
y=1.
∴x
2
+y
2
=3
2
+1
2
=10(Ans)
Jocelyn is going to the amusement park, where she has to pay a set price of admission
and another price for tickets to go on each of the rides. The total amount of money
Jocelyn will spend is given by the equation y 3.5x + 28, where y represents the
total amount of money, in dollars and cents, and x represents the number of rides
Jocelyn goes on. What could the number 28 represent in the equation?
Round
63.999
to two decimal places?
Answer:
64.00
Step-by-step explanation:
64.00 is the correct answer.
63.999 rounded to 2 decimal places is 64.00
What is the 5 rounding rule?In rounding off numbers, if the first figure dropped is 5, and all the figures following the five are zero or if there are no figures after the 5, then the last figure kept should be increased by 1 if that last figure is odd.
For example, if only two decimals are to be kept, then 6.755000 becomes 6.76.
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Which expression represents the number of sides in the polygon for the nth member of the sequence?
A) n+2
B) 2n + 1
C) 4n-3
D) 3n+2
Answer:
The answer is n+2.Step-by-step explanation:
I hope U like my answer and my answer helped U....Answer:
n+2 represemts the number of sides in the polygon for the nth member of the sequence
in a marble collection 1/8 of marbles of the blue marbles 1/2 have sparkels what fraticon of marbles in the collection are blue with sparkels
Hi
What is coefficient of Polynomial?
id .783 844 3157
pa s.12345
z
o
o
m
a multiplicative factor in some term of
A tree casts a shadow of 45 feet. If the angle of elevation to the top of the tree is 50º,
how tall is the tree?
Answer:
95
Step-by-step explanation:
add 50,45
Check whether the points ( -2, 3) , (8,3) ,(6,7) are the vertices of a right triangle
Answer:
Given coordinetes of triangle A(−2,3),B(8,3) and C(6,7)
AB=
[8−(−2)]
2
+(3−3)
2
=
(10)
2
+(0)
2
=
100
AC=
[6−(−2)]
2
+(7−3)
2
=
(8)
2
+(4)
2
=
64+16
=
80
BC=
(6−8)+[7−(2)]
2
=
(−2)
2
+(4)
2
=
4+16
=
20
If ABC is a right angled triangle, then square of one side must be equal to sum of suare of other two sides.
AB
2
=(
100
)
2
=100
and AC
2
+BC
2
=(
80
)
2
+(
20
)
2
=100
∴AB
2
=AC
2
+BC
2
thus triangle satisfies the Pythagoras theorem
Hence, the triangle is right angled triangle.
Step-by-step explanation:
Problems 1 - 6, evaluate each expression for the given values of the variables.
1 5a + 4b - 3a - 7b+ 4a; a = -3 and b = 4
2. c6-1)-cm; b=5 and c= -2
3. 5x – 2xy + 3y: x=-5 and y=-2
4. -K -(7k - 4m); k=-2 and m = 4
5. 3(6x + 5y) - 2y: x = 3 and y=-3
6. 5(3m – n) – 4(2m- n); m=-8 and n=-11
Problems 7 - 14, combine like terms and simplify completely
Step-by-step explanation:
1) 5a+4b-3a-7b+4a
Add terms having 'a' and 'b' separately
=6a-3b
Now subtitute values of a and b :
=6(-3)-3(4)
=-18-12
=-30
2)c(6-b)-c²
=6c-bc-c²
Subtitute values of b and c:
= 6(-2)-(5)(-2)-(-2)²
=-12+10-4
=-6
3)5x²-2xy+3y
Subtitute values of x and y:
=5(-5)²-2(-5)(-2)+3(-2)
=5(25)-20-6
=125-20-6
=99
4)-k²-(7k-4m)
Subtitute values of m and k:
=-(-2)²-{7(-2)-4(4)}
=-4-(-14-16)
=-4-(-30)
=-4+30
=26
5)3(6x+5y)-2y
Subtitute values of x and y:
=3{6(3)+5(-3)}-2(-2)
=3(18-15)+4
=3(3)+4
=9+4
=13
6)5(3m-n)-4(2m-n)
Subtitue values of m and n:
=5{5(-8)-(-11)}-4{2(-8)-(-11)}
=5(-40+11)-4(-16+11)
=5(-29)-4(-5)
=-145+20
=-125
Note:If you have any question about it you can friendly ask.Thanks
HELP ASAP will give BRAINLIEST
Hey there! I'm happy to help!
The question tells us that m∠JKL is 54. We see from the diagram that this is the combination of the angles m∠JKM and m∠MKL. So, we can combine their values, which are equal to 54 to find x.
13x+1+5x+4=54
We combine like terms
18x+5=54
We subtract 5 from both sides.
18x=49
We divide both sides by 18.
x=2.7222222....
Now, we want to find the measure of m∠MKL. We plug our x value into the value of this angle and evaluate.
5(2.722....)+4=17.61111....... or 17 11/18.
Have a wonderful day and keep on learning! :D
Help
me
please with questions 4, 5 and 6, THANKS
Answer:
hgzzrzdjjhhgccghjvcss
hgvvghjdszschkmbc
Step-by-step explanation:
bbhjvfdseaaasrfhujklknhgcffdzsshbjkhj
hggcfgbjvcfvjjhxsgj
What is the smallest integer greater than the square root of 325
Answer:
19
Step-by-step explanation:
√325 ≈ 18.02
The next greatest integer is 19.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The lyric, "Historians research more than just the word of one/To learn all sides of history" most closely means that
Which?
Answer:
I would say C
Step-by-step explanation:
I said C because when people look for information they look at different sources instead of just one.
golf activity geometry
use distance formula
HELP PLEASE n explain if you know!
Answer:
Step-by-step explanation:
Determine the product of the binomial 6x−2 and the trinomial 3x2−5x−1.
Answer:
6(x-2)
Step-by-step explanation:
because x and 2 are taken as common by us
Passes through (3,4) and is parallel to the line containing (3,5) and (0,2). Write answer in slope intercept form.
Answer:
should be 0
Step-by-step explanation:
Find the equation of the line passes through ( -3, 4) and parallel to the line 2y-4x + 2 = 0
Answer:
[tex]y = x + 1[/tex]
Step-by-step explanation:
We want to determine the equation of the line that passes through the point (3, 4) and is parallel to the line containing the points (3, 5) and (0, 2).
Recall that parallel lines have equivalent slopes.
Hence, first find the slope of the line containing the points (3, 5) and (0, 2):
[tex]\displaystyle m = \frac{\Delta y }{\Delta x} = \frac{(2)-(5)}{(0)-(3)} = \frac{-3}{-3} = 1[/tex]
Therefore, the slope of our new line must also be 1.
We are given that it passes through the point (3, 4). Since we are given a slope and a point, we can consider using point-slope form:
[tex]\displaystyle y - y_1 = m(x - x_1)[/tex]
Substitute:
[tex]\displaystyle y - (4) = (1)(x - (3))[/tex]
Simplify:
[tex]y - 4 = x - 3[/tex]
And add. Hence, our equation in slope-intercept form is:
[tex]y = x + 1[/tex]
In conclusion, the line that passes through the point (3, 4) and is parallel to the line containing the two points (3, 5) and (0, 2) is:
[tex]y = x + 1[/tex]
Can you answer this, please?
Answer: C) 3
Explanation:
The degree of a single variable polynomial is the largest exponent, which in this case is 3.
Find the 68th multiple of 89, if the 69th multiple is 6141.
Answer:
6141 - 89 = The 68th multiple (6052)
solve the following vertically opposite angle
Step-by-step explanation:
[tex]thank \: you[/tex]
Answer:
y = 20
BRAINLIEST, PLEASE!
Step-by-step explanation:
y = 20 (vertical angles are equivalent, and the opposite angle, which is vertical, is 20.)
Solve the equation shown. 12+3/5x-4=29
Answer:
35
Step-by-step explanation:
12+3/5x=33
3/5x=21
x=21×5/3
x=35
Answer:
[tex]12 + \frac{3}{5} x -4 = 29[/tex]
x = 35
1) 3/5 x = 21
3x = 105
x = 35
Step-by-step explanation:
Please help meeeee!
I'm really in a rush rn!
Answer:
-3.392
Step-by-step explanation:
2.34
1.052
+_____
= 3.392
calculate Z
z = 81
z = 30
z = 15
z = 20
choose the only correct answer
[solve each equation for the indicated variable]
2A=πr2 for π
Answer:
π = 2A/ r²
Step-by-step explanation:
[tex]\pi = \frac{2a}{ {r}^{2} } [/tex]
bantu jawab ya guy's
how do you find x the problem is 9x = -22
Answer:
x = -22/9 or, x = -2.44 in decimal form
Step-by-step explanation:
9x = -22
/9 /9 (divide both sides by 9)
-------------
x = -22/9 (when converted to decimal form, you get x = -2.44)
if AC = 72 and BC = 32, what is the length of AB
Answer:
104
Step-by-step explanation:
solution :
AC = 72
BC = 32
AB = AC + AC
= 72+32
= 104#
Am i right ?
