Answers
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\: Concept }}}[/tex]
➣ Given two paris are linear pairs➣ We know that sum of linear pairs is equal to 180⁰➣ Linear :- Having the form of a line; straight or roughly straight; following a direct course.[tex] \large\underline{ \boxed{ \sf{✛\: Assumptions\:✛ }}}[/tex]
➣ let given two angles be p and q that is ➣ angle p is 3x-4➣ angle q is 3x-8➣ we have to find "x" in the given expressions[tex] \large\underline{ \boxed{ \sf{✰\: let's\:solve }}}[/tex]
[tex] \rm\angle \: p + \angle \: q = 180 \degree \\ [/tex]
★ Substituting values
[tex] \rm { \pink➾ \:( 3x - 4) + (3x - 8) = 180} \\ \rm { \pink➾}arranging \: and \: solving \: like \: terms \\ \rm { \pink➾ \: 3x + 3x - 4 - 8 = 180} \\ \rm { \pink➾ \: 6x - 12 = 180} \\ \rm { \pink➾6x = 180 + 12}[/tex]
[tex] \qquad \qquad\rm { \pink➾6x = 192} \\ \qquad\qquad\rm { \pink➾ \: x = \frac{ \cancel{192}}{ \cancel6} } \\ \qquad\qquad\rm { \pink➾x = 32}[/tex]
★ Hence the value
[tex] \boxed{↪\underline{ \boxed{ \rm{\: x = 32\green✓}}}↩}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hope it helps !
Related Questions
2(4x+2)=4x-12(x-1)
Solve the equation
Answers
Step-by-step explanation:
here you go hope it helps
Anyo
Someone pls solve[tex](\sqrt{2}+1) (\sqrt{2}+3)[/tex]. Looking forward to a great answer
Answers
Answer:
(√2+1 )(√2+3 )
(√2×√2)+(√2×3)+(1×√2)+(1×3)
2+3√2+√2+3 = 5+4√2
=5+4√2
What is the formula for a surface area of a rectangular prism?
Answers
Answer:
[tex]\boxed{\text{SA} = 2(\text{L} \text{W}) + 2(\text{L} \text{H}) + 2(\text{B} \text{H})}[/tex]
Step-by-step explanation:
We know that the surface area is the sum of the area of the prism's faces.
It should be noted that the area of any face is equal to the area of its opposite face. Thus, we get the following equation for the surface area:
[tex]\implies\text{SA = 2(} \text{Area of rectangle}_{1} ) \ + \ \text{2}(\text{Area of rectangle}_{2} ) \ + \ \text{2}(\text{Area of rectangle}_{3} )[/tex]
A model has been drawn of the rectangular prism. (image)
Let the dimensions (length, width, and height) of the prism be known as L, B, and H respectively. Then, we get the following:
[tex]\implies \text{SA} = 2(\text{L} \times \text{W}) + 2(\text{L} \times \text{H}) + 2(\text{B} \times \text{H})[/tex]
[tex]\implies \boxed{\text{SA} = 2(\text{L} \text{W}) + 2(\text{L} \text{H}) + 2(\text{B} \text{H})}[/tex]
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Solve the inequality.
2(4x
3) 2 -3(3x) + 5x?
O x 2 0.5
X 2 2
(-09 0.5]
(-c0, 2]
Answers
Answer:
Use the given functions to set up and simplify (-c⁰, 2]
Step-by-step explanation:
2(4x ⋅ 3) = 24x
2-3 (3x) + 5x = -4x + 2
Ox ⋅ 2 = 2Ox
0.5 = 2Ox
X ⋅ 2 = 2X
2 = 2X
-9 ⋅ 0.5 = -4.5
(-c⁰, 2] = (-1,2]If this was helpful, let me know!
a
Matt spent $90 per month on
groceries and a total of $640 for
clothes and entertainment over the
last 4 months. How much should Matt
expect to pay for clothes, groceries,
and entertainment in 1 year?
Answers
Answer:
3000
Step-by-step explanation:
640x3 = 1920
90x12 = 1080
need help ASAP WILL GIVE BRAINLIEST
Answers
Answer:
See below
Step-by-step explanation:
It opens upwards ( bowl shaped) (vertex is on one side and focus on other with focus inside the parabola)
axis of symmetry is x = -8
vertex is (-8,0)
Triangles ABC and DEF are congruent. Which of the following must be true?
A
Angles B and D are congruent.
B
Line segments AB and BC are congruent.
C
Line segments AB and DE are congruent.
D
Angles A, B, C, D, E and F are all congruent.
Answers
Answer: Line segments AB and DE are congruent.
Step-by-step explanation:
Given : Triangle ABC is congruent to triangle DEF .
We know that if two triangles are congruent then their corresponding sides and angles are congruent.
This property of congruent triangles are also known as CPCTC (corresponding parts of congruent triangles are congruent.)
Therefore,
m∠A=m∠D
m∠B=m∠E
m∠C=m∠F
AB=DE
BC=EF
AC=DF
From the given options the only right option is line segments AB and DE are congruent.
Answer:
Step-by-step explanation:
Answer: Line segments AB and DE are congruent.
Rewrite the expression with rational exponents as a radical expression.
7 times x to the two thirds power
Answers
Write a sine function that has an amplitude of 5, a midline of 2 and a period of 3/7
Answers
A sine wave is also known as a sinusoid. The sine function that has an amplitude of 5, a midline of 2 and a period of 3/7 is 5Sin(16πx/3)+2.
What is sine function?A sine wave, also known as a sinusoid, is the graph of the sine function. Any curve that can be expressed in the form is referred to as a sinusoid. (A and B are both positive.) Sinusoids are the most generic version of the sine function.
Given the amplitude of the function is 5, the vertical shift is 3, and the period of 3/7. Therefore, the values of constants can be written as,
a = 5
b = (2π)/(3/7) = 14π/3
d = 2
Substituting the values in the sine function,
a sin b (x-c) + d
= 5 Sin(16π/3)(x-0) + 2
= 5 Sin(16πx/3) + 2
Hence, the sine function that has an amplitude of 5, a midline of 2 and a period of 3/7 is 5Sin(16πx/3)+2.
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welp pls.i’m so confused
Answers
Answer:
Length = 17 units
Width = 1 unit
Step-by-step explanation:
[tex]A = l * b[/tex]
[tex]17 = (2x+1) (x-7)\\17 = 2x^{2} -14x+x-7\\17 = 2x^{2} -13x-7\\2x^{2} -13x-7-17=0\\2x^{2} - 13x -24=0\\(2x+3) (x-8)=0\\x=-\frac{3}{2} or x=8\\[/tex]
but x cannot be negative because length and width cannot be negative;
[tex]x\neq -\frac{3}{2} : x = 8[/tex]
Length:-
[tex]=2x +1\\=2(8)+1\\=17units[/tex]
Width:-
[tex]=x-7\\=8-7\\=1 unit[/tex]
H. e. l. p
____
( - ^ • )
( > > )
MeEee
Answers
For the part 1 volume is 32.768 dm³, for part 2 side length is 6 meters, and for part 3 the volume is 480 cubic cm.
What is a cube?It is defined as three-dimensional geometry that has six square faces and eight vertices.
We have
1) Side length = 3.2 dm
Volume = (3.2)³ = 32.768 dm³
2) Volume of cube = 216 cubic meters
a³ = 216
a = 6 meters
3) The dimensions for sewing box: 10 cm, 8 cm, and 6 cm
Volume = 10×8×6 = 480 cubic cm
Similarly, we can calculate the rest of the data.
Thus, for the part 1 volume is 32.768 dm³, for part 2 side length is 6 meters, and for part 3 the volume is 480 cubic cm.
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PLEASE HELP IM GIVING 15 POINTS !!!!! how would you solve y=x^2+4x-1 ? and how would you solve y-7x=9 ?
Answers
The circumference of the earth is 2.4x109 miles. if you traveled at an average of 8.5x10 miles per hour, how long would it take for you to go around the earth? round your answer to the nearest whole number.
a. 2,820 hours
c. 354 hours
b. 282 hours
d. 3,500 hours
Answers
Answer:
282 hr <======= see below
Step-by-step explanation:
Distance / rate = time
2.4 x 10^9 mi / 85 m/hr = 28235294 hr
You must have left the power of 10 off of your speed
probably should be 8.5 x 10^6 perhaps? then answer is 282
If speed was 8.5 x 10^5 then answer becomes ~ 2820
Javior has an equal number of dimes, nickels and
quarters. He has a total of $2.40. How many coins
does he have all together?
?
Dimes:
Nickels:
Quarters:
?
?
Answer:
?
Answers
x to nickel (.05)
2x to the dime (.10)
5x to the quarter (.25)
x + 2x + 5x = 2.40
8x = 2.40
Divide both sides by 8 to isolate x
x = .30
Insert .30 for x in formula
.30 + (2)x(.30) + (5)x(.30) = 2.40
.30 + .60 + 1.50 = 2.40
2.40 = 2.40
Answer =
6 nickels. 6 dimes. 6 quarters
Please help me!!!!!!!!
Answers
3x + 9 =180
3x=171
X=57
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Notes }}}[/tex]
✟ Now let ✟➣Let these two parallel line be p and q➣ and angle "x + 22" be a➣ and angle "2x-13" be b[tex] \rule{70mm}{2.9pt}[/tex]
[tex]\underline{ \boxed{ \sf{✰ \:Concept \: used }}}[/tex]
➣ Here given two lines are parallel and also know as transversel➣ angle a and b are same side interior angle➣ and given two angle are supplementary➣ and sum of supplementary angle is of 180⁰➣ soo the equation formed is a+b =180⁰[tex] \rule{70mm}{2.9pt}[/tex]
★ Now let's solve according to concept[tex]\qquad\rm{➛ \: x+ 22+2x-13 = 180 \degree}\\\qquad \rm{✮solving \: like \: terms✮} \\ \qquad\rm{➛ \: 3x + 9 = 180 \degree} \\ \qquad\rm{➛ \: 3x = 180 - 9} \\ \qquad\rm{➛ 3x = \: 171} \\ \qquad\rm{➛x = \frac{171}{3} } \\ \qquad\rm{➛ \: x = \frac{ \cancel{171}}{ \cancel3} } \\ \qquad\rm{➛ \: x = 57 \degree}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
★ More info ★ ➣ Supplementary angle :- An angle that, when added to another referenced angle, produces an angle of 180 degrees.➣Transversal :-A line which traverses or intersects any system of other lines transversely.➣ Interior angles :- The inner angle between two sides[tex] \rule{70mm}{2.9pt}[/tex]
✠ Hence ✠
[tex] { \boxed{✜\underline{ \boxed{ \sf{ x = 57\degree \green✓}}}✜}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hope it helps !
Which conclusion does the proportion support?
3/9=9/27
Answers
Answer:
x3
Step-by-step explanation:
3x3 is 9 9x3 is 27
Use the net to find the surface area of the regular pyramid. (OPEN TO SEE PICTURE) PLS ITS URGENT
Answers
By the combined area of the triangles and the base. The total surface area of the regular pyramid would be 197.1 ft^2.
What is the area of the triangle?The area of the triangle is defined as the product of half the base and the height of the triangle.
The area of the triangle = 1/2 x b x h
we need to find the areas of each triangle in the pyramid.
The area of base = 15.6
The area of each outer triangle = 1/2 x 9 x 12
= 54
There are 3 triangle
3 x 54 = 162
The total area will become
162 + 35.1
= 197.1
Therefore, The total surface area of the regular pyramid = 197.1 ft^2
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How much more sand could the container hold before it overflows?
Answers
Answer:
67.5 in^3
Step-by-step explanation:
just calculate the volume
= 5 x 4.5 x 3
= 67.5 in^3
equation that shows 3 less than the product of 4 and m
Answers
The equation that shows 3 less than the product of 4 and m is 3 < 4m
Formation of equationFormation of equation is a means of transforming statements into equations
The product of 4 and m is 4m
If 3 is less than the product of 4 and m, this is expressed as:
3 < 4m
Divide both sides by 4
3/4 < m
m > 3/4
Hence the equation that shows 3 less than the product of 4 and m is 3 < 4m
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Help me with this please
Answers
Answer: $5.00 is the range
Step-by-step explanation: Range is the largest number subtracted by the smallest, so $6 - $1 is $5.
Find the value of x.
148°
Гу
х
x = [? ]°
=
Answers
please help, much appreciated!!
Answers
Answer:
I just answered this. (48, 192) for profit = 500x + 450y under x+y <= 240, y >= 4x
What it the measure of CD?
Answers
Answer:
B. 72°
Step-by-step explanation:
Remember : Measure of inscribed angle = 1/2 × measure of intercepted arc.
Then
The measure of arc CD = 2 × m∠DBC
= 2 × 36
= 72°
Please help me find the mean and the median:
Answers
Answer:
anyways your answer is 1
Step-by-step explanation:
Vasanti has read 0.25 of the book Robinson Crusoe. If she read 0.125 of the book each day, how many more days does she need to complete reading the book?
Answers
Answer:
798 days
Step-by-step explanation:
100-0,25=99,75
99,75/0,125=798
a ships pilot knows that a building on the coast is 100 meters tall. if he finds the angle of elevation to be 2 degrees how far is the ship from the costline ?
Answers
Answer:2863.6ft
Step-by-step explanation: x=100/tan2 makes the awnser.
7 time 45 please i need help this for the class
Answers
What is the mean of the normal distribution shown below?
Answers
Answer:
2
Step-by-step explanation:
thx
What is the surface area of a cube if it’s 15 cm 15 cm and 15 cm
Answers
1 surface = 15x15
6 surface = (15x15) x 6
= 1350 cm squared
Answer is 1350 cm squared
Answer:
1350 sq in
Step-by-step explanation: leangth times width is 15 x 15 so the face of one side is 225 multiply this by the number of faces in this case six and you get your awnser 1350 sq in
Find the product. 526 x 9
Answers
Answer:
526 X 9= 4734 is the answer.