Answers
Answer:
Attachment 1 :- x = 3/2
Attachment 2 :- m + r = 154°
Step-by-step explanation:
Attachment 1 :-
[tex]9^(^2^-^x^) = 3\\=> 3^2^(^2^-^x^) = 3\\[/tex]
As the base 3 is same on both the sides , cancel the base 3 from both left & right side of eqn. After that we will get:-
[tex]2(2 - x) = 1\\=> 2 - x =\frac{1}{2} \\=> x = 2 - \frac{1}{2} = \frac{3}{2}[/tex]
Attachment 2 :-
PQR is a straight line . It's given that m + n = 110°
But we know that m + n + r = 180° ..............eqn.1
So substituting the value of m+n in eqn.1 gives :-
m+n+r = 180°
=> r + 110° = 180°
=> r = 180° - 110°
= 70°
It's also given that n+r = 96°
So putting the value of r in the above gives ,
n+r = 96°
=> n + 70° =96°
=> n = 96° - 70°
= 26°
Putting the value of n in eqn.1 gives
m + n = 110°
=> m + 26° = 110°
=> m = 110° - 26°
= 84°
So m + r = 84° + 70° = 154°
Related Questions
Solve. -1/2+(3/4x4/9)=
Answers
Answer:
-1/6
Step-by-step explanation:
- 1/2 + 3/4 x 4/9 = -1/2 + 3(4) / 4(9) = -1/2 + 12 / 36 = -1/ 2 + 1 / 3 = -3/6 + 2/6 = -1/6
The solution for the given expression [tex]-\frac{1}{2} +(\frac{3}{4} \times \frac{4}{9} )[/tex] after simplifying the expression is [tex]-\frac{1}{6}[/tex].
Given an expression:
[tex]-\frac{1}{2} +(\frac{3}{4} \times \frac{4}{9} )[/tex]
It is required to find the value of the expression after simplifying the expression.
Since there is more than one operation used in this expression, the rule of BODMAS has to be used.
The expression in brackets has to be solved first, which is [tex]\frac{3}{4} \times \frac{4}{9}[/tex].
Here, the numerator of the first fraction and the denominator of the second fraction is 4. So, it can be canceled.
So, this can be simplified as:
[tex]\frac{3}{4} \times \frac{4}{9} =\frac{3}{9}[/tex]
[tex]=\frac{1}{3}[/tex]
The whole expression thus is [tex]-\frac{1}{2} +\frac{1}{3}[/tex].
Make the denominators equal.
[tex]-\frac{1}{2} +\frac{1}{3} =-\frac{3}{6} +\frac{2}{6}[/tex]
[tex]=-\frac{1}{6}[/tex]
Hence, the value is [tex]-\frac{1}{6}[/tex].
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3xy + 5x + 2 + 3y +x + 4
Answers
Answer:
= 3xy + ( 5x + x) + 3y + ( 4 +2 )
= 3xy + 6x + 3y + 6
Solve -17 + n over 3 = 33
Answers
Answer:
n=82
Step-by-step explanation:
[tex] \frac{17 + n}{3} = 33 \: \: \: \frac{17 + n}{3} = \frac{33}{1} \: \: \: 17 + n = 99 \: \: \: n = 99 - 17 \: \: \: n = 82[/tex]
Proof:
17+n/3=33
17+82/3=33
99/3=33
33=33
Hope this helps ;) ❤❤❤
Evaluate 6+x6+x6, plus, x when x=3?
Answers
Answer:
42
Step-by-step explanation:
x=3
6+x6+x6
6+(3)6+(3)6
6=6
(3)6=18
(3)6=18
6+18+18
24+18
42
Hope this helps ;) ❤❤❤
Answer:
1467Step-by-step explanation:
[tex]6+x^6+x^6+x\\\\6+(3)^6+(3)^6+3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^6\::\quad 729\\=6+729+\left(3\right)^6+3\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^6\::\quad 729\\=6+729+729+3\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:6+729+729+3\::\quad 1467[/tex]
Which of the following is not true? Bonus number 7
Answers
Answer:
the first one i think
Step-by-step explanation:
i can't see the pic clearly make it better, and i will solve for u
Urgent ! Use a table to compress the function y=f(x) vertically by 1/2 . Identify the graph of the function and its transformation . A-B-C- or D ?
Answers
The third one is the right answer
Answer:
The first one is right. (A)
Step-by-step explanation:
Whenever we talk about compressions we just need to compress one of the axes in this case we are asked to compress the y-axis which means that the only values that will change are the y-values, don't get confused the x values have to stay the same.
a^2+b^2=9 , a+b=? with the method
Answers
Answer:
3
Step-by-step explanation:
a^2+b^2=9
(a+b)^2=9
finding the square root on both sides of the equation
a+b=3
Which expressions are equivalent to 4b?
Answers
Step-by-step explanation:
5b-b,4b^2/b,...and so on
there are infinite number of equivalent expression..
among them five are here
4*b,
6b-2b,
2*2b,
((5b^3-b^3)/b^2),
2b+2b,etc
Help me please I don't understand the question
Answers
Answer:
y = - 2x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1,1) ← 2 points on the line
m = [tex]\frac{1-3}{1-0}[/tex] = - 2
The line crosses the y- axis at (0, 3) ⇒ c = 3
y = - 2x + 3 ← equation of line
please tell me this asap..
y/2 - 1/5 = 2 - y/3
Answers
Answer:
y=2 16/25
in other words, two and sixteen twenty-fifths
Step-by-step explanation:
y/2-1/5=2-y/3
Move the variables to one side and constants to the other
y/2+y/3=2+1/5
Multiply y/2 by 3/3 and y/3 by 2/2 so that they have a common denominator
3y/6+2y/6=2 1/5
5y/6=11/5
Cross multiply
66=25y
y=66/25
y=2 16/25
HOPE THIS HELPS!!!
please someone help me... i need full answer
Answers
Answer: see proof below
Step-by-step explanation:
Use the following Sum to Product Identities:
[tex]\sin x-\sin y=2\cos\bigg(\dfrac{x+y}{2}\bigg)\sin\bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x-\cos y=2\cos\bigg(\dfrac{x+y}{2}\bigg)\cos\bigg(\dfrac{x-y}{2}\bigg)[/tex]
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad \qquad \dfrac{\sin 2A+\sin 5A-\sin A}{\cos A+\cos 2A+\cos 5A}[/tex]
[tex]\text{Regroup:}\qquad \qquad \qquad \dfrac{\sin 2A+(\sin 5A-\sin A)}{\cos 2A+(\cos 5A+\cos A)}[/tex]
[tex]\text{Sum to Product:}\qquad \dfrac{\sin 2A+2\cos\bigg(\dfrac{5A+A}{2}\bigg)\sin\bigg(\dfrac{5A-A}{2}\bigg)}{\cos2A+\cos\bigg(\dfrac{5A+A}{2}\bigg)\cos\bigg(\dfrac{5A-A}{2}\bigg)}[/tex]
[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{\sin 2A+2\cos 3A\sin 2A}{\cos 2A+2\cos 3A\cos 2A}[/tex]
[tex]\text{Factor:}\qquad \qquad \qquad \dfrac{\sin 2A(1+2\cos 3A)}{\cos 2A(1+2\cos 3A)}[/tex]
[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{\sin 2A}{\cos 2A}\\\\.\qquad \qquad \qquad \qquad =\tan 2A[/tex]
LHS = RHS: tan 2A = tan 2A [tex]\checkmark[/tex]
What percent is 16 hr of 2 days
Answers
Answer: 33.33%
Step-by-step explanation:
1 day=24 hrs, 2 days=48hrs
16hrs/2days × 100%
=16hrs/48hrs × 100%
=0.333... × 100%
=33.33% (rounded)
Step-by-step explanation:
[tex] \frac{16}{100} \times 48(2day) = 7.68\%[/tex]
Pls help me and show working
Answers
Answer:
4x + 10 > 3x + 14
x > 4
Step-by-step explanation:
Use the given values for length and width in the formula for perimeter of a rectangle. You will be able to find the perimeter of rectangles A and B.
A = 2(l + w)
A = 2(x + 5 + x)
A = 2(2x + 5)
A = 4x + 10
B = 2(l + w)
B = 2(x + 7 + x/2)
B = 2(3x/2 + 7)
B = 3x + 14
The perimeter of rectangle A is larger than that of rectangle B.
A > B
4x + 10 > 3x + 14
(4x + 10) - 3x > (3x + 14) - 3x
x + 10 > 14
(x + 10) - 10 > 14 - 10
x > 4
How many positive four-digit integer palindromes have 12 as the sum of the digits of the number?
Answers
2+4+4+2=12
3333
3+3+3+3=12
1551
1+5+5+1=12
4224
4+2+2+4=12
5115
5+1+1+5=12
6006
6+0+0+6=12
The answer is 6
Please help me!! This a mathematical question. I will be so happy if someone helps me♂️
Answers
Answer:
The answer is the fourth one.
[tex]\frac{1}{r^7} +\frac{1}{s^12}[/tex]
Step-by-step explanation:
Olivia counted the number of ladybugs on each plant in her garden, then made the graph below.
If ten ladybug fly from the lettuce to the alfalfa, which 2 kinds of plants will have the same number of ladybugs?
Choose 2 answers:
A) Roses
B) Lettuce
C) Alfalfa
D) Grape vines
Answers
Answer:
A) Roses , C) Alfalfa
Step-by-step explanation:
Each ladybug symbol = 5 ladybugs
Roses: 35 ladybugs
Lettuce: 15 ladybugs
Alfalfa: 25 ladybugs
Grape vines: 10 ladybugs
10 ladybugs go from lettuce to alfalfa. You end up with:
Roses: 35 ladybugs
Lettuce: 5 ladybugs
Alfalfa: 35 ladybugs
Grape vines: 10 ladybugs
Roses and alfalfa end up with 35 ladybugs each.
Answer: A) Roses , C) Alfalfa
Solve the equation below for x. 3.25x = 8.125 A. x = 0.025 B. x = 0.25 C. x = 2.5 D. x = 25
Answers
Answer:
C
Step-by-step explanation:
Answer: C
Step-by-step explanation: Because its just easy ;/
What is the slope of the equation y – 3 = –4(x – 5)?e of the equation y – 3 = –4(x – 5)?
Answers
Answer:
The slope of the equation y-3=-4(x-5) is -4.
Step-by-step explanation:
This equation is written in point-slope form: y-y₁=m(x-x₁), where "m" is the slope or the equations. In the equation y-3=-4(x-5), the -4 stands in the "m", or slope, spot, so the sope of this equation is -4.
Slope of the equation is equals to -4.
What is slope?
" Slope is defined as the ratio of the change in y-coordinates to the x-coordinates. It is also known as inclined plane."
General equation of line
y = m x + c ____(1)
'm' = slope of the line
'c' = y - intercept
According to the question,
Given equation,
[tex]y-3 = -4(x-5)[/tex]
Open the brackets of the equation we get,
[tex]y-3 = -4x+20[/tex]
Add 3 both the sides of the equation we get,
[tex]y = -4x+23[/tex] ______(2)
Compare equation (1) and (2) to get the slope we have,
Slope 'm' = -4
y-intercept = 23
Hence, slope of the equation is equals to -4.
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Alexia ran three laps around her neighborhood. Each lap is 1 and StartFraction 3 over 8 EndFraction miles. Which is the best estimate of the number of miles that Alexia ran?
Answers
Answer:
4 and 1/8
Step-by-step explanation:
1 and 3/8 is equivalent to 11/8 which is one lap. If she ran 3 laps, you would multiply 11/8 by 3 which would get you 33/8- which is equivalent to 4 and 1/8.
Answer:
The answer is not -1/2
Step-by-step explanation:
I got the answer from the person above and the answer is not -1/2 so do not believe them.
One more than the product of a number, x, and 7 is 5 less than that number, x. Rewrite this as an equation then solve for x.
Answers
Answer:
(7x+1)=x-5
Step-by-step explanation:
9) The speed limit on the freeway is 65 miles per hour. a) What is this speed in kilometers per minute?
b) If you drive for 3.5 hours at the speed limit? How many kilometers have you travelled?
Answers
Answer: Answer is in the steps
Step-by-step explanation:
A) First convert 65 miles to kilometers
65 miles to kilometers is 104.607
Convert 1 hour to minute and that will be 60 minutes because 60 minutes makes and hour.
Now divide the kilometers by the number of minutes
104.607 / 60 = 1.74345
The speed will be 1.74345 kilometers per minute.
B) Convert 3.5 hours to minutes.
3.5 hours is the same as 210 minutes
Now multiply it by 1.74345 to determine how many kilometers you have traveled.
1.74345 * 210 = 366.1245
You will travel 366.1245 kilometers in 3.5 hours.
Steve had 48 chocolates but decided to give 8 chocolates to each of his coworkers. How many chocolates does Steve have left? Write your answer as an expression.
Answers
Answer:
y = 48 - (8x)
Step-by-step explanation:
x = unknown number of coworkers
y = number of chocolates left over
y = 48 - (8x)
Example: If you were to plug in the number 5 for x:
y = 48 - (8(5))
y = 48 - 40
y = 8
The answer is 48-8f
Ccffcxdfcve
Each of 7 reported the number of movies they saw in the past year here is what they reported. 4, 17, 6, 15, 10,10,19 Find the mean number of movies that the students saw.
Answers
Answer:
Step-by-step explanation:
4+6+10+10+15+17+19=81
Then you divide 81 by the numbers of the numbers given. Which is 7 numbers so it will be 81/7 which is 11.57 then you approximate it to 11.
Can someone help me, I need to find the function of a graph
Answers
Step-by-step explanation:
f(x)=y
(x,y)
(x,f(x))
then,
f(-4)=1
f(0)=2
f(4)=3
Evaluate 6t -20-32u when t=6 and u=1/4
Answers
Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex]6t - 20 - 32u = 6(6) - 20 - 32( \frac{1}{4} ) = 36 - 20 - 8 = 16 - 8 = 8[/tex]
Hope this helps ;) ❤❤❤
Then multiply first. 36-20-8.
Then go left to right for subtracting.
36-20= 16; 16-8=8
So your answer would be 8.
In ΔLMN, \overline{LN}
LN
is extended through point N to point O, \text{m}\angle MNO = (5x-13)^{\circ}m∠MNO=(5x−13)
∘
, \text{m}\angle NLM = (x-4)^{\circ}m∠NLM=(x−4)
∘
, and \text{m}\angle LMN = (2x+19)^{\circ}m∠LMN=(2x+19)
∘
. Find \text{m}\angle NLM.m∠NLM
Answers
Answer:
[tex]\bold{\angle NLM = 10^\circ}[/tex]
Step-by-step explanation:
Given a ΔLMN.
Line LN is extended to point O.
such that:
[tex]\text{m}\angle MNO = (5x-13)^{\circ}[/tex]
[tex]\text{m}\angle NLM = (x-4)^{\circ}[/tex] and
[tex]\text{m}\angle LMN = (2x+19)^{\circ}[/tex]
To find:
[tex]\text{m}\angle NLM=?[/tex]
Solution:
Kindly refer to the attached image for the given triangle and dimensions of angles.
Let us recall the external angle property of a triangle:
The external angle of a triangle is equal to the sum of two opposite internal angles.
i.e.
[tex]\angle MNO = \angle NLM + \angle LMN\\\Rightarrow 5x-13 = x-4+2x+19\\\Rightarrow 5x-13 = 3x+15\\\Rightarrow 5x-3x = 13+15\\\Rightarrow 2x=28\\\Rightarrow x =14[/tex]
Putting the value of [tex]x[/tex] in [tex]\angle NLM[/tex].
[tex]\angle NLM=14-4 \\\Rightarrow \bold{\angle NLM = 10^\circ}[/tex]
2
3(9x-6) = 4x + 10
What is the value of x that makes the equation true?
Answers
The value of [tex]x[/tex] is 7.
Important information:
The given equation is [tex]\dfrac{2}{3}(9x-6)=4x+10[/tex].Solve the equation:The given equation can be written as:
[tex]\dfrac{2}{3}(9x)-\dfrac{2}{3}(6)=4x+10[/tex]
[tex]6x-4=4x+10[/tex]
[tex]6x-4x=4+10[/tex]
[tex]2x=14[/tex]
Divide both sides by 2.
[tex]x=\frac{14}{2}[/tex]
[tex]x=7[/tex]
Therefore, the value of [tex]x[/tex] is 7.
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Given g(x) = -x + 5, solve for x when g(x) = 3.
Answers
-x+5=3 then solve for x
-x=3-5
-x=-2
-2 divided by -x =2
x=2
If you could help solve this and show your work I would really appreciate it
Answers
Answer:
D
Step-by-step explanation:
The difference between 63y and 35y is 28y. 28/2=14, 28/4=7, 28/7=4, 28/9=not whole number so I'm not doing the math, and to make sure we are right, 28/14=2
Answer:
9Step-by-step explanation:
[tex]63y-35y\\=28y[/tex]
[tex]\frac{28y}{2} = 14y\\\\\frac{28y}{4} = 7y\\\\\frac{28y}{7} =4y\\\\\frac{28y}{14} = 2y\\\\\frac{28y}{9} =3.1111y[/tex]
Ingrid traveled to Jacksonville, texas, to watch baskets being made. she saw six shelves with 19 baskets on each shelf. how many baskets were on the shelves in all?