Answer:
∠ O = 61°, ∠ N = 119°
Step-by-step explanation:
In a parallelogram
Consecutive angles are supplementary
Opposite angles are congruent, thus
x + 2x - 3 = 180
3x - 3 = 180 ( add 3 to both sides )
3x = 183 ( divide both sides by 3 )
x = 61°
Thus
∠ O = ∠ M = x = 61°
∠ N = ∠ P = 2x - 3 = 2(61) - 3 = 122 - 3 = 119°
can someone please help me I need the answer urgently please
Answer:
Step-by-step explanation:
AB ≅ BC. So, ΔABC is an isosceles triangle
Opposite angles of equal sides are equal.
∠BAC = ∠BCA = x°
In ΔABC,
∠ABC + ∠BAC + ∠BCA = 180 {Angle sum property of triangle}
56 + x + x = 180
56 + 2x = 180
2x = 180 - 56
2x = 124
x = 124/2
x = 62°
∠BAC = ∠BCA = 62°
∠DCF = ∠BCA {Vertically opposite angles}
∠DCF = 62°
CDEF is a parallelogram.
In parallelogram, opposite angles are congruent.
∠DEF = ∠DCF
∠DEF = 62°
In a parallelogram, sum of adjacent angles = 180
∠DEF + ∠CDE = 180
62 + ∠CDE = 180
∠CDE = 180 - 62
∠CDE = 118°
∠CFE = ∠CDE {In parallelogram, opposite angles are congruent}
∠CFE = 118°
Write f(x)=5 -(x – 4)2 in the form f(x)= ax+bx+c.
Answer:
[tex]f(x) = 5 - (x - 4)^2[/tex].
Step-by-step explanation:
[tex]f(x) = 5 - (x - 4)^2[/tex]
[tex]f(x) = 5 - (x-4)*(x-4)[/tex]
[tex]f(x) = 5 - (x^2 - 4x - 4x + 16)[/tex]
[tex]f(x) = 5 - (x^2 - 8x + 16)[/tex]
[tex]f(x) = 5 - x^2 + 8x - 16[/tex]
[tex]f(x) = -x^2 + 8x - 11[/tex].
Hope this helps!
Any help? Khan Academy question
Answer:
1.6<x<9.6
Step-by-step explanation:
Triangle says the sum of any 2 sides is bigger than the third.
Assume a,b,c are side measurements of a triangle.
So if you know two sides a and b then the third number, c, is such that |b-a|<c<a+b.
So just add the given numbers and find the positive difference.
5.6+4=9.6
5.6-4=1.6
simplify (y+x) 2-2xy
Answer:
y² + x²
Step-by-step explanation:
Given
(y + x)² - 2xy ← expand (y + x)² using FOIL
= y² + 2xy + x² - 2xy ← collect like terms
= y² + x²
Ans2x + 2y -2xy
Step-by-step explanation:
First You need to distribute 2 to both x and y. 2x + 2y-2xy
9) A trapezoid has an area of 60 cm? and its height is 6 cm and one base is 8 cm.
Answer:
Step-by-step explanation:
Iihgghh
You are setting out snacks for some friends to come over. You have 18 crackers and 12 slices of cheese. If you want each plate to be identical, with no food left over, what is the greatest number of plates you can prepare? How many crackers will be on each plate? How many slices of cheese will be on each plate?
The concept of greatest common factor is used to solve this question. Then, we use it to find the number of crackers and slices of cheese, and the answer is:
The greatest number of plates you can prepare is 6.Each plate will have 3 crackers.Each plate will have 2 slices of cheese.--------------------------------
To find the greatest number of plates, you need to find the greatest common factor between 12 and 18.
Thus, factoring them, always by the same number:
12 - 18|2
6 - 9|3
2 - 3
The greatest common factor is 2x3 = 6, which means that the greatest number of plates you can prepare is 6.
--------------------------------
18 crackers, so each plate has 18/6 = 3 crackers.
12 slices of cheese, so each plate has 12/6 = 2 slices of cheese.
A similar question is given at https://brainly.com/question/18454593
Find the value:
please help
Answer:
the answer is 44
Step-by-step explanation:
4*2=8
48-(32:8)
48-(4)
44
I really hope it helps:))))))))))
Answer:
C. 32
Step-by-step explanation:
Order of Operations: Multiplication/Division (left to right) comes before Addition/Subtraction (left to right).
48 - 32/4 x 2 (Division)
48 - 8 x 2 (Multiplication)
48 - 16 (Subtraction)
32
Please answer this in two minutes
Answer:
x = 16
Step-by-step explanation:
The figure shown shows an inscribed angle F and central angle E. Both angles intercept the same arc.
Therefore, angle E is twice the measure of angle F, according to the central angle theorem of a circle.
Thus,
m<E = 2 * m<F
(x + 94)° = 2(55)
We can find the value of x with this equation.
x + 94 = 110
Subtract 94 from both sides
x = 110 - 94
x = 16
The table below shows the results from a study that compared speed (in miles per hour) and average fuel economy (in miler per gallon) for cars. Find a quadratic model for the data.
0.008
y=13.472x
2
+0.746x−0.008
y
=
25.836
x
+
0.049
y=25.836x+0.049
y
=
−
.
008
x
2
+
0.746
x
+
13.472
y=−.008x
2
+0.746x+13.472
y
=
0.049
x
+
25.836
y=0.049x+25.836
Note that the quadratic model for the data is y = -0.008x² + 0.75x + 13.47.
How is this so ?
Here are the steps on how to find a quadratic model for the data.
Make a scatter plot of the data. The points should form an inverted U-shape. This suggests a quadratic model.Use the quadratic regression feature on your graphing calculator to find an equation of the model.Here is the output of the quadratic regression feature on my graphing calculator
y = -0.008x² + 0.75x + 13.47.
where -
x is the speed in miles per hour
y is the fuel economy in miles per gallon.
Learn more about Quadratic equation at:
https://brainly.com/question/1214333
#SPJ1
Isabelle bought some stationery. 1/3 of them were pencils. 5/8 of the remainder were erasers and the rest were ruler.The cost of the stationery is ,Pencil: $1.20 ,Eraser :$1 ,Ruler: $0.50 She spent a total of $169.50 on all the stationery. How much more did she spend on erasers than rulers.
Answer:
She spend[tex]\frac{7}{24}[/tex] more on erasers than rulers.
Step-by-step explanation:
We are given that Isabelle bought some stationery.
Fraction of pencil = [tex]\frac{1}{3}[/tex]
Remaining stationary =[tex]1-\frac{1}{3}=\frac{2}{3}[/tex]
5/8 of the remainder were erasers
So, part of eraser in stationary=[tex]\frac{5}{8} \times \frac{2}{3}=\frac{5}{12}[/tex]
Remaining stationary(rulers)=[tex]\frac{2}{3}-\frac{5}{12}=\frac{1}{4}[/tex]
Cost of ruler = $0.50
Cost of [tex]\frac{1}{4}[/tex]rulers =[tex]0.50 \times \frac{1}{4}=\frac{1}{8}[/tex]
Cost of eraser=$1
Cost of [tex]\frac{5}{12}[/tex] eraser=[tex]\frac{5}{12}[/tex]
Difference in cost of eraser and rulers =[tex]\frac{5}{12}-\frac{1}{8}=\frac{7}{24}[/tex]
Hence She spend[tex]\frac{7}{24}[/tex] more on erasers than rulers.
PLEASE HELP ASAP Given: −3(a–b) > 0, which is the greater: a or b? Give numerical examples. Many thanks!
Answer:
b
Step-by-step explanation:
If a negative number times another number is positive, that means that the other number is also negative because multiplying two negative numbers gives you a positive number. Therefore, a - b must be negative. In order for the difference of two numbers to be negative, the number being subtracted must be bigger than the number it's being subtracted from. For example, in 2 - 7, 7 > 2 but 2 - 7 is negative, the same goes for 3 - 8, 4 - 10, etc. Therefore, b must be greater.
Scale the numerator and the denominator down by a factor of 3 (divide) to write a fraction equivalent to \frac{3}{12}
12
3
.
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{12}[/tex] ← divide numerator and denominator by 3
= [tex]\frac{1}{4}[/tex]
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Help me slove and direction pls ty :)
Answer:
see explanation
Step-by-step explanation:
Solving
4x + 8 = 20 ( subtract 8 from both sides )
4x = 12 ( divide both sides by 4 )
x = 3
Each pack contains 3 paintbrushes
Answer:
x=3
Step-by-step explanation:
since the equation to use has already been given,you just have to group the like terms and solve for x
4x+8=20
4x=20-8
4x=12
then divide both sides by 4 in order to remain with x on one side
4x/4=12/4
x=3
each pack contains 3 paint brushes.
I hope this helps
1. Which expression is equivalent to (-2)(a + 6)?
Answer:
please mark my answer brainliest
Step-by-step explanation:
- 2a -12
What is x in the diagram below?
Answer:
3rd option, 2√10
Step-by-step explanation:
x²=4×10
or, x=√(4×10)
or, x=2√10
Answer: C, 2√10
Step-by-step explanation:
Assume all variables represent non negative numbers . Help please!!
Answer:
A). [tex]2p^{8}[/tex]
B). [tex]3m^{7}[/tex]
Step-by-step explanation:
A). [tex]\sqrt{4p^{16}}[/tex]
To get the square root of the given expression we will convert it into the square form.
[tex]4p^{16}=(2)^2(p^{8})^2[/tex] [Since 2×2 = 4 and [tex]p^{8}\times p^{8}=p^{16}[/tex]]
Therefore, [tex]\sqrt{4p^{16}}=\sqrt{2^{2}\times (p^{8})^2 }[/tex]
[tex]=2p^{8}[/tex]
B). [tex]\sqrt{9m^{44}}[/tex]
Since, [tex]9m^{14}=(3)^2\times (m^7)^2[/tex]
Therefore, [tex]\sqrt{9m^{44}}=\sqrt{(3)^2\times (m^7)^2}[/tex] [Since 3² = 9 and (m⁷)² = m¹⁴]
[tex]=3m^{7}[/tex]
Estimate 2371 x1.84 divide 36.92
Answer:
Step-by-step explanation:
2371 x1.84 = 4362
4362 ÷ 36.92 = 118
the answer would be 118.1646804 but since the lowest sig fig in the question is 3 (1.84), we would have to round the answer to 3 SIG figs.
Final answer: 118
Find the sum of — 3x2 + 5x – 8 and -10x2 – X – 3.
Answer:
- 13x^2+4x-11
Step-by-step explanation:
Sum of -3x^2+5x-8 and - 10x^2-x-3 is - 13x^2+4x-11
line passing through points (-4,2) and (0,3)
Answer:
y-y1=m(x-x1)
or,y-2=1/4(x+4)
or,4y-8=x+4
or,x-4y+12=0 is the required equation.
Step-by-step explanation:
If it helps you, plz mark it as brainliest
heeeellllp...
...
...
...
...
...
...
Answer:
didn't shade all of them
Line A has the equation: y = 2x + 5.
Determine the equation of line B when it is parallel to line A and passes through (0 , -4).
Answer:
y=2x-4
Step-by-step explanation:
The slope of the line is 2 and y intercept is - 4. The equation will be y=2x-4
help w #5 !! will mark brainlist
The sum that represents the number of tickets sold if 35 tickets were sold Monday, half of the remaining tickets were sold on Tuesday and 14 tickets were sold on Wednesday.
To start solving this, we can assign t as the variable to the total number of tickets that were sold. So, t = 35 (for Monday) + (t - 35)/2 (for Tuesday) + 14 (for Wednesday). To solve this, we can say t = 49 + (t - 35)/2, or 2t = 98 + t - 35, which equals t = 63. Therefore, 63 tickets were sold total.
Which of the following expressions represents the distance between -3.9, and -4.7?
Answer:
[tex]d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} }[/tex]
Step-by-step explanation:
[tex]d = \sqrt{( - 4 + 3) {}^{2} + (7 - 9) {}^{2} } [/tex]
[tex]d = \sqrt{(1 + 4)} = \sqrt{5} [/tex]
What is the coefficient of x6 y4 in the expansion of (x + y)10?
Answer:
It is C.
Step-by-step explanation:
Too lazy to explain.
This equation shows how the total number of necklaces Denise owns is related to the amount of money she spends on additional necklaces.
n = d + 74
The variable d represents the amount of money she spends on additional necklaces, and the variable n represents the total number of necklaces she owns. With $16 to spend on new necklaces, how many total necklaces can Denise own?
Answer:
16+74
Step-by-step explanation:
substitute 16 into the equation
HELP ASAP
[tex]Given that $33^{-1} \equiv 77 \pmod{508}$, find $11^{-1} \pmod{508}$ as a residue modulo 508. (Give an answer between 0 and 507, inclusive.)[/tex]
===================================================
Work Shown:
[tex]33^{-1} \equiv 77 \text{ (mod 508)}\\\\(3*11)^{-1} \equiv 77 \text{ (mod 508)}\\\\3^{-1}*11^{-1} \equiv 77 \text{ (mod 508)}\\\\3*3^{-1}*11^{-1} \equiv 3*77 \text{ (mod 508)}\\\\11^{-1} \equiv 231 \text{ (mod 508)}\\\\[/tex]
Notice how 33*77 = 2541 and 11*231 = 2541
[tex]2541 \equiv 1 \text{ (mod 508)}[/tex] since 2541/508 has a remainder of 1.
So effectively [tex]33*77 \equiv 1 \text{ (mod 508)}[/tex] and [tex]11*231 \equiv 1 \text{ (mod 508)}[/tex]
the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear is
Answer:
2/5Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Since we are to find the probability that 2 randomly selected points from Q,R,S,T and W are non-collinear
Non collinear points are points that doesn't lie on the same straight line. From the diagram given, the two point that are non colliear are (QR, QS, QT and QW making 4 2random non collinear points. Hence out expected number of outcome is 4.
For the total possible outcome, we are to find the number of ways we can randomly select two points from the 5 points given and this can be done using the combination rule.
This can therefore be done in 5C2 number of ways.
5C2 = 5!/(5-2)!2!
5C2 = 5!/3!2!
5C2 = 5*4*3*2*1/3*2*2
5C2 = 5*2
5C2 = 10 different ways
Hence the total possible outcome is 10
Therefore, the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear will be 4/10 = 2/5
2.3 repeating as a fraction or percentage
please help :) 1) Scientists develop knowledge by making blank about the natural world that may lead to a scientific question. 2) A scientific question may lead to a(n) blank , which can be tested. The results of blank can lead to changes in scientific knowledge.
Answer:
You just answered my question so you can ask yours, what a sped. Now i'm doing the same thing.
Step-by-step explanation: