Answer:
Step-by-step explanation:
Assuming you want to find x, we can set two equations:
x-3=0
2x-3=0
This is so that we can individually find x within the two paranthesis and not have to do more work. It helps for standardized tests.
solve for x on both sides, and you get 3 and 1.5
Answer:
[tex]x=3, x=\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]\left(x-3\right)\left(2x-3\right)=0[/tex]
The zero product theorem will be used here to solve this non-linear problem.
means that in the original equation, each variable component must be set to zero.
[tex]\begin{cases} x-3=0\\2x -3=0\end{cases}[/tex]
To solve this linear equation, we need to group all of the variable terms on one side of the equation and all of the constant terms on the other.
so, -3 will be moved to the right side
Notice that when a term moves from one side of the equation to the other, it changes sign.
[tex]\begin{cases} (x-3)+3=3\\(2x-3)+3=3 \end{cases}[/tex]
[tex]x\left \{ 3,\frac{3}{2} \}[/tex]
OAmalOHopeO
tan30°+cos30°÷tan30°×cos30°
Answer:
{1/√3+1/2} ÷{1/√3× 1/2}
(2+√3)/2√3÷(1/2√3)2+√3+1 /2√3(2+1 )+√3 /2√33 +√3 /2√3Hello, who can help me solve this problem?Please see the picture below and take a look
9514 1404 393
Answer:
C
Step-by-step explanation:
It's about making up a rule that gets from one figure to the next. Here's the rule I used:
The bottom left segment is rotated 1/8 turn CW from one figure to the next.
The top middle segment is rotated 1/4 turn CW from one figure to the next.
After steps, the top middle segment will be back in the same place. The lower left segment will be in the opposite corner. This corresponds to figure C.
The ratio of the measures of the three angles of a triangle is 2:2:5 . Find the measure of each angle
Answer:
Angle 1:Angle2: angle3: total
40 40 100 180
Step-by-step explanation:
The sum of the angles of a triangle is 180
Angle 1:Angle2: angle3: total
2 :2 :5 : 2+2+5 = 9
Divide 180 by 9
180/9 = 20
Multiply each by 20
Angle 1:Angle2: angle3: total
2*20 :2*20 :5*20 : 9*20
40 40 100 180
Line LR bisects MN at point L. Find the length of ML if MN = 152 ft.
Answer:
[tex]ML = 76\text{ feet}[/tex]
Step-by-step explanation:
Since Line LR bisects MN at point L, by the definition of bisector:
[tex]\overline{ML} \cong \overline{LN}[/tex]
We want to determine ML if MN measures 152 feet.
MN is the sum of ML and LN. Hence;
[tex]ML + LN = MN[/tex]
Since ML = LN and MN = 152:
[tex]ML + (ML) = (152)[/tex]
Simplify:
[tex]2ML = 152[/tex]
And divide. Therefore:
[tex]ML = 76\text{ feet}[/tex]
In conclusion, ML measures 76 feet.
Help Me!
In the quadrilateral ABCD shown below, the sides AB and CD are parallel. M is the Mid point of the side BC.
The lines DM and AB extended, meet at N.
[tex]\large\sf\color{Aqua}\underline{Questions}[/tex]
i) Are the areas of ∠DCM and ∠BMN equal?why?
ii) What is the relation between the areas of the quadrilateral and the triangle ADN?
Answer:
Given:
DC ║ ABCM = MB as M is midpoint of BCi) Since DN and BC are transversals, we have:
∠DCM ≅ ∠NBM and∠CDM ≅ ∠BNM as alternate interior anglesAs two angles and one side is congruent, the triangles are also congruent:
ΔDCM ≅ ΔNBM (according to AAC postulate)So their areas are same.
ii)
The quadrilateral has area of:
A(ADCB) = A(ADMB) + A(DCM)And the triangle has area of:
A(ADN) = A(ADMB) + A(NBM)Since the areas of triangles DCM and NBM are same, the quadrilateral ADCB has same area as triangle ADN.
Answer:
I think I have proved it before you asked this question before also.
Step-by-step explanation:
SEE the image for solution.
HOPE it helps
Have a great day
A factory inspector found flaws in 3 out of 18 wooden boxes. What is the experimental probability that the next wooden box will be flawed?
Write your answer as a fraction or whole number.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{1}{6}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Box Probability}}\\\\\rightarrow \frac{\text{# of boxed flawed}}{\text{# of boxes checked}} \\\\\rightarrow \frac{3}{18}\\\\\rightarrow \frac{3/3}{18/3}\\\\\rightarrow\boxed{\frac{1}{6}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Help!!! Simplify each expression
Answer:
1)-2k
2)-8n-3
3)6b+2
4)-7x
5)5x+12
6)-2k+9
7)10x
8)3x
9)8x-1
10)4m+7
11)3m
12)4v+1
13)-3v
14)-2n+4
15)x-11
16)0
17)9k
18)-2x-6
19)-10x
20)2a
If you have any questions regarding my answer tell me in the comments, and I will come answer them. Have a good day.
please help with this i don’t understand
3(m + 3) = 3m - 9
no solution, one solution, or many solutions? which one?
marking brainliest
Answer:
3(m+3) = 3m - 9
3m+9 = 3m-9
9 = -9???
clearly, this does not work, so there are NO SOLUTIONS.
Let me know if this helps!
Pls helppppppppppp I don’t understand
Answer:
First, just to recap, the angle that has a measure of 60 and the angle that has a measure of 2x+14 are vertical angles.
This means, that they are equal to each other.
Knowing this, the rest is pretty easy. We just set up an equation:
60 = 2x+14
And solve for x: (I'm going to speed through, but let me know if you need me to go step by step...)
2x = 46
x = 23
Let me know if this helps!
Is this relation a function?
Answer:
Hello,
Answer D
Step-by-step explanation:
In a function a value may not have 2 images.
y1=f(x1) and y2=f(x1) ==> y1=y2
Convert 300 grades to a radian measure
A=5pi
6
B=6pi
5
C=3pi
5
D=5pi
3
Answer:
5pi/3
Step-by-step explanation:
The conversion factor is pi/180
300 *pi/180 = 300pi/180 = 30pi/18 = 5pi/3
1: solve 2/5×1/3-3/7×5/9+2/5×1/8
2:2x-3=x+2
plesswe
What is the slope of a line that passes through the points (-2, 4) and (-6, 12)?
Answer:-3\2
Step-by-step explanation:
slope is difference y axis by x axis
4-12/-2+6=-6/4=-3\2
joe measures the side of a square correct to 1 decimal place. he calculates the upper bound for the area of the square as 37.8225cm².
work out joe's measurement for the side of the square
The side of the square is 6.2 cm
A square is a quadrilateral with four equal sides.
Characteristics of a square includes:
• The diagonals bisect each other at 90°.
• Opposite sides parallel and of equal length
• The four angles of a square are equal.
Area of a square = length of a side²
37.8225cm² = length of a side²
To determine the length of a side, find the square root of 37.8225cm²
√ 37.8225cm² = 6.15cm
To round off to one decimal place, look at the second number after the decimal (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
The hundredth number is 5, so one would be added to one. the number then becomes 6.2cm
Learn more on how to determine the side length of a square here : https://brainly.com/question/10646504?referrer=searchResults
the length and breadth of a hall is two times its breadth and the breadth is two times its height if the cost of papering its wall at rs 25 per sq metre is rs 10800 find the cost of paving marbles on its floor at rs 250 per sq .metre
.•♫•♬•plzz helpp•♬•♫•.•♬•♫•.
Answer:
Answer
Let height of the room be 'h' m.
∴ length of the room=2hm
breadth of the room=
2
3
hm.
area of 4 walls=
1.60
179.20
=112m
2
2(l+b)×h=112
2(2h+
2
3
h)×h=112
2×
2
7
×h
2
=112
h
2
=
14
112×2
=16
h=
16
=4m
length=4×2=8m, breadth=
2
3
×4=6m
for, tiling the floor area=l×b=8×6=48m
cost of tiling=48×6.75=Rs.324
Convert 3
8 into a decimal.
Answer:
0.375
Step-by-step explanation:
3/8=0.375, use a calculator for this or long division
A wall in Marcus's bedroom is 8 2/5 feet high and 16 2/3 feet long. If he paints 1/2 the wall blue, how many square feet will be blue?
Answer:
70 ft^2
Step-by-step explanation:
Find the area of the wall
A = l*w where l is the length and w is the width
A = 8 2/5 * 16 2/3
Change to improper fractions
A = 42/5 *50/3
Rewriting
A = 42/3 * 50/5
= 14 * 10
A = 140 ft^2
He paints 1/2
1/2 (140) = 70 ft^2
Write the following statement in equation form using variables x and y. "Sum of two numbers is 15 and difference is 11.
Answer:
see explanation
Step-by-step explanation:
Using x and y to represent the 2 numbers with x > y , then
x + y = 15 → (1)
x - y = 11 → (2)
Adding the 2 equations term by term to eliminate y
2x = 26 ( divide both sides by 2 )
x = 13
Substitute x = 13 into (1)
13 + y = 15 ( subtract 13 from both sides )
y = 2
The 2 numbers are 13 and 2
Find the value of x for which the lines p and q are parallel.
Answer:
7 is the answer..........
Answer:
x = 7 (C)
Step-by-step explanation:
So first we need to be able to know the value of 14x + 18. Which is 116 degrees. This is because it is corresponding to the angle labelled 116 degrees and corresponding angles are equal so:
14x + 18 = 116
14x + 18 - 18 = 116 - 18 Here you collect like terms then the equation will look like this:
14x = 116 - 18 116 - 18 = 98
14x = 98 Divide both sides by 14
14x / 14 = 98 / 14
x = 7 So your answer is 7.
HOPE THIS HELPED
Which whole number property is represented?
(8 × 2) × 6 = 8 × (2 × 6)
Answer:
(8 × 2) × 6 = 8 × (2 × 6) represents associative property of whole number.
Evaluate 5⁰-5¹ in positive index form
Step-by-step explanation:
5⁰ - 5¹ = -4¹
(1/3)^‐1 + 2^-1 = 3 + 1/2 = (7/2)¹
Answer: -5
Step-by-step explanation: 5^0 is 0 and 5^1=5
0-5=-5
find the mixed number of 18/3??
Answer:
6
Step-by-step explanation:
Answer: 18/3 as a mixed number should be just 6/1(6). because 18 divided by 3 is 6.
21in. = _____ft. terminating or repeating
Answer:
Terminating
Step-by-step explanation:
We know that 12 inches is 1 foot. We can divide to find how many feet we have.
21 / 12 = 1.75
Since the decimal ends at 0.05, the decimal is terminating.
Best of Luck!
Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589. You must show all of your work to receive credit.
PLSSS SHOW WORK <3
Answer:
x = 18
Step-by-step explanation:
First, let's find the ratios between the two triangles
We'll use AV and AC
372 ÷ 589 = 12/19
All of the sides of the smaller triangle are 12/19 of the bigger triangle
Now let's find x
We know that AU + UB = AB
So it's 20x + 108 + 273 = AB
12/19 of a bigger triangle side equals a small triangle side
(12/19)AB = AU
For this equation multiply both sides by 19/12 to isolate AB
(12/19)AB x 19/12 = AU x 19/12
AB = (19/12)AU
Now we have this
20x + 108 + 273 = (19/12)(20x + 108)
20x + 381 = (19/12)(20x + 108)
Distribute the 19/12
20x + 381 = 95/3x + 171
Move all like terms to one side
20x + 381 = 95/3x + 171
- 171 - 171
20x + 210 = 95/3x
- 20x - 20x
Don't forget about common denominators
210 = 95/3x - 60/3x
210 = 35/3x
Multiply both sides by 3
210 x 3 = 35/3x x 3
630 = 35x
Divide both sides by 35
630/35 = 35x/35
x = 18
Answer:
Step-by-step explanation:
[tex]\frac{20x+108}{20x+381}[/tex] = [tex]\frac{372}{589}[/tex]
589( 20x + 108 ) = 372( 20x + 381 )
11780x + 63612 = 7440x + 141732
4340x = 78120
x = 18
FA is a line, line segment, and a ray
Answer:
False, FA can't be all three. (See explanation below to see which one FA is.)
Brainliest, please!
Step-by-step explanation:
A line has goes on and on forever in two different directions.
A line segment has two endpoints and does not go on and on forever.
A ray has one endpoint and goes on and on forever in one direction.
It is impossible for FA to be all three, or two even.
Which two repeating decimals are equivalent to 10/11 A b c or D
Answer:
I think it is 0.909090909090. Hope this helped.
Step-by-step explanation:
Given that MTW = CAD, which segments are corresponding parts of the congruent triangles? MT CD MW CA TW. AD
Answer:
TW correspondant to AD
Step-by-step explanation:
That's the right answer
Segments TW and AD are corresponding parts of the congruent triangles.
What are congruent triangles?Two triangles are called congruent if their corresponding sides and angles are congruent.
Given that, Δ MTW ≅ Δ CAD
The congruent parts are;
MT = CA
TW = AD
MW = CD
∠ M = ∠ C
∠ T = ∠ A
∠ W = ∠ D
Hence, Segments TW and AD are corresponding parts of the congruent triangles.
For more references on congruent triangles, click;
https://brainly.com/question/12413243
#SPJ2
SOMEONE HELP ME PLS
Answer:
as both triangles are congruent......
AB = PQ
BC = QR
CA = RP
So AB = PA so... 2x + 1 = x + 7
so x = 7 - 1 = 6
now BC = QR so.... 4y + 3 = 2y + 11
so 2y= 8 and y= 4
brainliest plssssss
Helpppppppppp I need help
Answer:
she is 4 years old just divide 39 by 9
