opposite angles of a llgrm are equal.
ABCD is a llgrm.
let angle A = 63 degree
so opposite angle of A is C is also 63.
let angle B=x degree =angle D
sum of all angles of a llgrm is 360 degree
angle A + angle B + angle C + angle D=360
63+x+63+x=360
126+2x=360
2x=360-126
x= 134/2
x=67
so the other angles are
A=63 B =67 C = 63 D = 67
All credit goes to
bijaymourya8114
–14=–(-2x+2)8)51=7(-1+2v)+2
Answer:
x = -6; v = 4.
Step-by-step explanation:
–14 = –(-2x + 2)
-14 = 2x - 2
2x - 2 = -14
2x = -12
x = -6.
51 = 7(-1 + 2v) + 2
51 = -7 + 14v + 2
51 = 14v - 5
14v = 56
v = 4.
Hope this helps!
Use the quadratic formula to solve for the roots of the following equation.
x2 - 4x + 13 = 0 x=____a0 +- ______a1 I
2+3i, x=2−3
Explanation:
What is the length of AC?
Because all the angles are congruent (the same), this is an equilateral triangle. All equilateral triangles have congruent angles and congruent sides, so all sides has to be 14.
Someone pls help thank you sm ..
Answer:
15 lawns
Step-by-step explanation:
The Xbox costs $400 and his parents gave him $100. He needs to earn $300 more. $20 each lawn so $100 for 5 lawns. 5 lawns times three.
Xbox cost =400
Daniel's money =100
Xbox cost - Daniel money=300
yard cost =20
therefore 400 -100 /20
Daniel's need 15 yards to get the xbox
Whats the mean of the box plot 50 60 70 80 90 100
Answer:
75
Step-by-step explanation:
Mean = sum of all numbers / how many of numbers
=> 50 + 60 + 70 + 80 + 90 + 100 / 6
=> 450 / 6
=> 75
So, the mean of this data is 75.
Which of the following functions has a vertical asymptote at x = 2, a horizontal
asymptote at f(x) = 1, and a root at x = -1?
A.f(x) = 2 + 1
B.f(x) = x 2 + 1
c.f(x) = x 2 - 1
D.f(x) == +1
Answer:
First, an asymptote means that the function "tends to go" to a value, bt actually never reaches it.
The functions here are:
A.f(x) = 2 + 1
B.f(x) = x^2 + 1
c.f(x) = x^2 - 1
D.f(x) == +1
The functions are really poorly written, but i will try to answer this.
first:
"a root at x = -1"
Means that f(-1) = 0,
The only function that is zero when x = -1, is the option c.
f(-1) = (-1)^2 - 1 = 1 - 1 = 0.
Now, if we want to have a vertical asymptote at x = 2, then we should have a function like:
[tex]f(x) = \frac{something}{x - 2}[/tex]
So we want to have a quotient, where the denominator is equal to zero when x = 2, this will lead to a vertical asymptote.
I can not see this in the options provided, so i guess that the functions are just not well written.
For a horizontal asymptote, we have something like:
[tex]f(x) = \frac{something}{x} + 1[/tex]
So as x starts to grow, the first term in the function will start to decrease, until it becomes really close to zero (but is never equal to zero) so in that case we have an horizontal asymptote to f(x) = 1.
factorise the quadratic equation x square + 2 x + 36
Answer:
Click on the link below to view the answer with the explanation in futher detail
Explanation:
Click the attached link to view the answer
Solve each of the following exponential equations using common bases:
1.) 4^(3x+5)=8^(4x-3)
2.) 9^(2x+3)=〖(1/27)〗^(3x+1)
3.) 4^(x+6)∙8^(x-9)=64
Answer:
x=19/6, x=-9/13, x=33/4
Step-by-step explanation:
1) 2^(6x+10)=2^(12x-9), 6x+10=12x-9, x=19/6
2) 3^(4x+6)=3^(-9x-3), 4x+6=-9x-3, x=-9/13
3) 2^(x+6)*2^(3x-27)=2^(6), 4x-27=6, x=33/4
PLESSE HELP THANKS SO MUCH
Answer:
b is ur answer mate ....
Question 9(Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the
graph of y = f(x) with the graph of y = f(x - 9)?
The graph of y = f(x) will shift up 9 units.
The graph of y = f(x) will shift down 9 units.
The graph of y = f(x) will shift left 9 units.
The graph of y = f(x) will shift right 9 units.
Answer: D) right 9 units
Step-by-step explanation:
The Vertex form of a quadratic equation is: y = a(x - h)² + k where
a is the vertical stretch or shrink(x, h) is the vertex→ h is the horizontal shift (+ is right, - is left)
→ k is the vertical shift (+ is up, - is down)
y = f(x - 9)
↓
h=9
Since h is positive, the graph moves 9 units to the RIGHT
Answer:
The graph of y = f(x) will shift right 9 units.
Step-by-step explanation:
If the -9 is inside the parenthesis, the graph g(x) shifts 9 points to the right.
Isabelle bought some stationery. 1/3 of them were pencils. 5/8 of the remainder were erasers and the rest were rulers. The cost of the stationery is - a Pencil: $1.20, an eraser: $1 and a ruler: $0.50. She spent a total of 169.50 on all stationery. How much more did she spend on erasers than rulers.
Answer:
Isabelle spent $52.50 more on Erasers than rulers.
Step-by-step explanation:
Step 1
Find the quantity of each stationery bought in fraction
Let us represent the total fraction of what Isabelle bought as: x
1/3x = quantity of pencils bought
5/8 of the remainder = quantity of erasers bought
The remainder = x - 1/3x = 2/3x
5/8 of 2/3x = 5/8 × 2/3x = 5/12x
Hence, 5/12x = quantity of erasers bought
The rest is rulers
1 - (1/3 + 5/12)
1 - (4 + 5/12)
1 - 9/12
1 - 3/4
= 1/4x
Hence, 1/4 = quantity of rulers bought.
Step 2
We find the number of stationeries that Isabelle bought.
The cost of the stationery is
a Pencil: $1.20
an eraser: $1
a ruler: $0.50.
Total amount spent on stationery = 169.50
We have this equation
1.20 × 1/3x + 1 × 5/12x + 0.50 × 1/4x = 169.50
0.4x + 0.4166666667x + 0.125x =
169.50
0.9416666667x = 169.50
x = 169.50 /0.9416666667
x = 179.99999999
Approximately , the number of stationeries that Isabelle bought = x = 180
Step 3
Find the number and the amount spent on each stationery that Isabelle bought
a) i) Quantity of pencils bought = 1/3 x
x = 180
= 1/3 × 180
= 60 pencils
ii) Amount spent on pencils
If 1 pencil = $1.20
60 pencils =
60 × 1.20 = $72
b) i) Quantity of Erasers bought = 5/12x
x = 180
= 5/12 × 180
= 75 pencils
ii) Amount spent on Eraser
If 1 pencil = $1
75 pencils =
75 × 1 = $75
c) i) Quantity of rulers bought = 1/4 x
x = 180
= 1/4 × 180
= 45 pencils
ii) Amount spent on pencils
If 1 pencil = $0.50
45 pencils =
45 × 0.50 = $22.50
Step 4
We were asked to calculate how much more did she spend on erasers than rulers.
In step 3, the amount spent on Erasers = $75
the amount spent on ruler = $22.5
The difference in the amount spent = $75 - $22.5
= $52.5
Therefore, Isabelle spent $52.50 more on Erasers than rulers.
The figure shows a cuboid with a square base of area 16 cm2
The area of the shaded face is 36 cm² What is the volume of the cuboid?
Answer
step by step explanation
volume=base area ×height
16 cm2 ×6=96cm2
Determine the perimeter of a rectangle with a length of 2 feet and a width of 6 inches. (Multiple choice)
—————
2.5 feet
8 feet
5 feet
16 feet
Answer:
D or 16
Step-by-step explanation:
For perimeter, the formula is 2(L + W) where L is length, and W is width.
So 2 ( 2 + 6 )
= (4 + 12)
= 16
Find the median of the following frequency distribution
Answer:
3
Step-by-step explanation:
First right out all the data in numerical order from left to right.
2, 2, 2, 3, 4, 5, 7
The median is the middle number in the set. If there is an even amount of data points, find the average of the two middle numbers. If there is an odd number of data points, like in this data set, just take the middle number as you median.
There are 7 data points in this set so the fourth number in the set written in numerical order would be your median.
When writing this set out in numerical order, repeated numbers must be repeated, we find that the fourth, or middle, number is 3. Therefore, 3 is the median of this data set.
A newborn blue whale weighs 3^7 an adult blue whale weighs 81 times a new way of the newborn how many kilograms does the dog blue away write your answer as a power of three
Answer:
3^11 kilogram
Step-by-step explanation:
We were told a newborn blue whale weighs 3^7
But an adult blue whale weighs 81 times a new way of the newborn this can be expressed below as
=81×3^7
This can be expressed in standard form as
3^4 × 3^7
Then we need to determine number of kilograms the adult blue whale weigh.
81=3^4
=3^11
Therefore, number of kilograms the adult blue whale weigh 3^11kg
A man has two sons, one twice as old as the other. The man is four times as old as the older boy. In three years he will be five times as old as the younger boy. Find their present ages.
Answer:
Man's present age: 32 years
Older son's present age: 8 years
Younger sons present age: 4 years
Step-by-step explanation:
Let their present ages be represented by:
Man = a
Older boy = b
Younger boy = c
A man has two sons, one twice as old as the other:
b = 2 × c
b = 2c......... Equation 1
The man is four times as old as the older boy:
a = 4 × b
a = 4b.......Equation 2
In three years he will be five times as old as the younger boy:
a + 3 = 5 (c + 3)
a + 3 = 5c + 15........Equation 3
Since b = 2c and a = 4b
Subtitute 2c for b in Equation 2
a = 4b
a = 4 × 2c
a = 8c
Subtitute 8c for a in Equation 3
a + 3 = 5c........Equation 3
8c + 3 = 5c + 15
Collect like terms
8c - 5c = 15 - 3
3c = 12
c = 4
Therefore since c, represents the present age of the younger son, the younger son is 4 years old
b = 2c
b = 2 × 4
b = 8
Since b is the present age of the older son, the older son is 8 years old
a = 4b
b = 8
a = 4 × 8
a = 32
Since a is the present age of the man, the man is 32 years old
Therefore,
Man's present age: 32 years
Older son's present age: 8 years
Younger sons present age: 4 years
CAN ANYBODY HELP ME OUT
Answer:
Correct option is
b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.
Step-by-step explanation:
Here, we are given the line RQ, which is divided in two equal parts by a line PS which is perpendicular to RQ.
The foot S of PS is on the line RQ.
First of all, let us do a construction here.
Join the point R with P and P with Q.
Please refer to the attached image.
Now, let us consider the triangles PQS and PRS:
Side QS = RS (as given)[tex]\angle PSR = \angle PSQ = 90^\circ[/tex]Side PS = PS (Common side in both the triangles)Now, Two sides and the angle included between the two triangles are equal.
So by SAS congruence we can say that [tex]\triangle PRS \cong \triangle PQS[/tex]
Therefore, the corresponding sides will also be equal.
RP = QP
RP is the distance between R and P.
QP is the distance between Q and P.
Hence, to prove that P is equidistant from R and Q, we have proved that:
b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.
Round to the nearest penny.
$11,579.9998
Answer:
Step-by-step explanation:
So basically, we would need to divide to the nearest 0.01 or hundredths place. All you would need to do is round from each place which would soon get you to 11,580.00. Simple right!!
I hope this helps!! Have a good rest of your day! :)
a piece of paper is 5.5 x 10^-4 inches thick. If jennifer has 35 such pieces,how thick is the whole stack? Write your answer in standard form.
Answer:
T = 0.01925 m
Step-by-step explanation:
It is given that,
Thickness of a piece of a paper is [tex]5.5\times 10^{-4}\ m[/tex]
Total number of pieces are 35
We need to find the thickness of the whole stack. It is simply a case of unitary method.
For 35 pieces, thickness is :
[tex]T=35\times 5.5\times 10^{-4}\\\\T=0.01925\ m[/tex]
So, the thickness of the whole stack is 0.01925 metres.
Annie left her house at 10:00AM walking at 2 mph. In exactly 1 hour, Davis left the same house and headed the same route in the same direction with his dog. The dog was constantly running between Davis and Annie until Davis caught up with Annie. Davis was walking at 3 mph and the dog was running at 6 mph. How many miles did the dog run by the time Davis caught up with Annie?
Answer:
the dog was running 3mph faster than david
What is the volume?
9 ft
4 ft
2 ft
HELPPPP
Answer:
72?
Step-by-step explanation:
V=whl=4 x 2 x9=72
What is the value of x?
Answer:
The triangles are similar, therefore the ratio of 2:1 is constant for all sides as shown in 20:10.
Therefore, x is 14.
Line A is represented by the following equation: X + y = 2
What is most likely the equation for line B so the set of equations has no solution?
Answer:
x+y=3
Step-by-step explanation:
For an equation to have no solution, their slope needs to be same and y intercept needs to be different,
so in this case where x+y=2
doing simply, x+y=3 makes a set of equation which has no solution, you can take any real value which is not 2
Ebola has an Ro of 2. How
many third-wave cases can
doctors expect?
Answer:
4 I guess
Step-by-step explanation:
Because
3-1=2
2^2=2*2=4
-4-(3+6²)÷13-1²•(-12)=
Answer:
5
Step-by-step explanation:
-4-(3+6²)÷13-1²•(-12)=
PEMDAS
parrenthesis:
-4-81÷13-1² x (-12)
exponent:
-4-81÷12 x (-12)
multiplication:
-4-81÷ (-144)
divison:
- 4 - (- 9)
subtraction (Actaully addition +):
= 5
-(- makes plus so -4 + 9 makes 5
Hope this helps, have a good day!! :)
What does the law of cosines reduce to when dealing with a right angle
Answer:
It is reduced to the equation of the Theorem of Pythagoras.
Step-by-step explanation:
Any triangle can be modelled by this formula under the Law of Cosine:
[tex]b = \sqrt{a^{2}+c^{2}-2\cdot a\cdot c\cdot \cos B}[/tex]
Where:
[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Side lengths, dimensionless.
[tex]B[/tex] - Angle opposed to the side [tex]b[/tex], measured in sexagesimal degrees.
Now, let suppose that angle B is a right angle (90º), so that b is a hypotenuse and a and c are legs. Hence:
[tex]\cos B = 0[/tex]
And the equation is reduced to the form of the Theorem of Pythagoras, that is to say:
[tex]b = \sqrt{a^{2}+c^{2}}[/tex]
Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3
Answer:
Step-by-step explanation:
Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3
Revolve into factor : 2x square + 5xy + 2y square
Answer:
(2x + y) ( x + 2y)
Step-by-step explanation:
Solve for X. Geometry
Answer: " x = 10 " .
Step-by-step explanation:
Note the top "line segment" ; and the bottom "line"; have equal measurements:
The length of the top line segment is:
" (2x − 8) + 5 ."
The length of the bottom line is: " (x + 7) " ;
__________
To solve for "x" ;
___________
(2x − 8) + 5 = (x + 7) ;
Rewrite as:
2x − 8 + 5 = x + 7 ;
Note: −8 + 5 = -3 ;
_______________
Rewrite the equation as:
2x − 3 = x + 7 ;
We can subtract "x" from each side of the equation;
and add "3" to each side of the equation:
2x − 3 − x + 3 = x + 7 − x + 3 ;
_______________
to get:
_______________
x = 10 .
_______________
Let us check our answer
(2x − 8) + 5 =? (x + 7) ;
________
(2*10 − 8) + 5 =? (10 + 7) ? ;
(20 − 8) + 5 =? 17 ?
12 + 5 =? 17 ? Yes!
_______________
Best wishes in your academic pursuits!
_______________
Please help me I’m confused
A midpoint is a point that divides a given line into two equal halves.The answers to the questions are:
1. BC = 89
b. AB = 45
c. AC = 44
2. The coordinate of I is 2.5
3. J = 19
4. MQ = 32
5. NO = 13
6. NO = 23
b. MN = 25
A line segment can be divided into different fractions. Where the point that divides the line segment into equal parts is the midpoint. however, number line is a system that shows the location or positions of all directed numbers.
The given questions can be solved as follows:
1. Given that point A is between BC and AB = 4x -3, BC = 7x + 5, AC = 5x - 16
But,
BC = AB + AC
7x + 5 = (4x -3) + (5x - 16)
= 9x - 19
7x + 5 = 9x - 19
19 + 5 = 9x - 7x
24 = 2x
x = [tex]\frac{24}{2}[/tex]
x = 12
So that;
a. BC = 7x + 5
= 7(12) + 5
BC = 89
The value of BC is 89.
b. AB = 4x -3
= 4(12) - 3
AB = 45
Thus AB has a value of 45.
c. AC = 5x - 16
= 5(12) -16
AC = 44
The value of AC is 44.
2. Given that H is the mid point of GI, and G = 8, I = -3.
Then;
I = 2.5
The coordinate of I is 2.5
3. A midpoint is a point that divides a line segment in to two equal halves. Given that J is the midpoint of KL. KL = 38
J = [tex]\frac{KL}{2}[/tex]
= [tex]\frac{38}{2}[/tex]
J = 19
The value of the midpoint J is 19.
4. It can be deduced from the conditions given in the question that:
MQ = MN + NO + OP + PQ
= 8 + 8 + 16 (NB: OP + PQ = 16)
MQ = 32
Thus, value of MQ is 32.
5. Since P is the mid point of NQ, and OP = 11, OQ = 35
Then;
PQ = OQ - OP
= 35 - 11
PQ = 24
Since, PQ = NP =24
Then;
NO = NP - OP
= 24 - 11
NO = 13
NO has a length of 13.
6. NO = 2y + 11, OP = 3y - 2, NP = 6y + 3 and MP = 64.
But,
NO + OP = NP
(2y + 11) + (3y - 2) = 6y + 3
5y + 9 = 6y + 3
9 - 3 = 6y - 5y
y = 6
So that;
a. NO = 2y + 11
= 2(6) + 11
NO = 23
Here, the value of NO is 23.
b. MN = MP - NP
But,
NP = 6y + 3
= 6(6) + 3
NP = 39
Then;
MN = 64 - 39
MN = 25
So that MN has a value of 25.
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