Answer:
12 pages per minute
Step-by-step explanation:
60 pages are being printed in 5 minutes.
60 pages/5 minutes = 12 pages/minute
Answer:
12 pages per minute
Step-by-step explanation:
60 = 5 minutes
1 minute = 60/5 = 12
Complete the paragraph proof to prove the statement.
Given: ∠ABC ≅ ∠DEF and ∠GHI ≅ ∠DEF
Prove: m∠ABC = m∠GHI
We are given that angle ABC and
are congruent, and that angle GHI and angle DEF are congruent. By the
, the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to
.
Answer:
1. angle DEF
2. definition of congruent angles
3. the measure of angle GHI
Step-by-step explanation:
The statement are
Angle DEFDefinition of congruent anglesAngle GHIWhat is Congruence?Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.
Given:
∠ABC ≅ ∠DEF and
∠GHI ≅ ∠DEF
1. Angle ABC and angle DEF are congruent
2. By the definition of congruent angles, the measure of angle ABC is equal to the measure of angle DEF.
3. By the substitution property, the measure of angle ABC is equal to the measure of angle GHI.
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The center of an ellipse is (-9,3). One focus is (-6,3). The
major axis is 14 units long.
What is the equation of the ellipse in standard form?
Enter your answer by filling in the boxes.
Answer:
49 in first box, 40 in second box. I took the test.
The equation of an ellipse with center (-9, 3), focus (-6, 3) and major axis length of 14 units is [tex]\frac{(x+9)^2}{49} + \frac{(y-3)^2}{40}= 1[/tex]
The standard form of the equation of an ellipse is:
[tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}= 1[/tex]
The center of the ellipse, (h, h) = (-9, 3)
That is, h = -9, k = 3
The length of the major axis = 14 units
The length of the major axis = 2a
2a = 14
a = 14/2
a = 7
a² = 7²
a² = 49
The coordinates of the foci are [tex](h \pm c, k)[/tex]
One of the foci = (-6, 3)
h - c = -6
-9 - c = -6
c = -9 + 6
c = -3
[tex]c^2 = a^2 - b^2\\(-3)^2 = 7^2 - b^2\\9 = 49 - b^2\\b^2 = 49 - 9\\b^2 = 40[/tex]
Substitute a² = 49, b² = 40, h = -9, and k = 3 into the equation [tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}= 1[/tex]
[tex]\frac{(x+9)^2}{49} + \frac{(y-3)^2}{40}= 1[/tex]
The equation of an ellipse with center (-9, 3), focus (-6, 3) and major axis length of 14 units is [tex]\frac{(x+9)^2}{49} + \frac{(y-3)^2}{40}= 1[/tex]
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what is the midpoint in 74.1 and 74.2
Answer:
74.15
Step-by-step explanation:
this is bc there are ten spaces between 74.1 and 74.2. halfway between that is another 00.05 points.
Answer:
74.15
Step-by-step explanation:
you can find the average, by adding 74.1 and 74.2 and dividing by 2, which would get you 74.15
you can look on a number line and find the midpoint that way
hope this helps :)
Write an expression that is equivalent to 7^3/4
find the greater number of 6 digits which is perfect squre
1000^2 = 100000 the smallest 7 digit perfect square
(1000-1)^2 = 999^2 =998001
Find the measure of each angle in the diagram.
Answer:
10y° = 130°
(4x - 22)° = 50°
(7x + 4)° = 130°
(3y + 11)° = 50°
Step-by-step explanation:
From the picture attached,
Two lines are intersecting each other at a pint making two pairs of vertical angles.
By definition, pair of vertical angles are equal in measure.
10y° = (7x + 4)° [Vertical angles]
-7x + 10y = 4 -----(1)
(3y + 11)° = (4x - 22)° [Vertical angles]
-4x + 3y = -33 ------(2)
[Equation (1) × 3] - [Equation (2) × 10]
(-21x + 30y) - (-40x + 30y) = 12 + 330
-21x + 40x = 342
19x = 342
x = [tex]\frac{342}{19}=18[/tex]
From equation (1),
-7(18) + 10y = 4
-126 + 10y = 4
10y = 130
y = 13
Therefore, 10y° = 130°
(4x - 22)° = 50°
(7x + 4)° = 130°
(3y + 11)° = 50°
Allison works in a department store selling clothing. She makes a guaranteed salary of $350 per week, but is paid a commision on top of her base salary equal to 15% of her total sales for the week. How much would Allison make in a week in which she made $300 in sales? How much would Allison make in a week if she made x dollars in sales?
Answer: 395
0.15x+350
Step-by-step explanation:
Jessica wants to earn at least a B this grading period, which is an average of an 85. So far Jessica has earned a 90, 75, and 88 on three tests. What is the least grade she can score on the fourth test to reach her goal?
Answer:
87
Step-by-step explanation:
Write a quadratic function in standard form with zeros -4 and -3
Answer:
y = x² + 7x + 12
Step-by-step explanation:
Given the zeros x = - 4 and x = - 3, then the corresponding factors are
(x - (- 4) ) and (x - (- 3) ), that is
(x + 4) and (x + 3)
The function is then the product of its factors
y = (x + 4)(x + 3) ← expand using FOIL
= x² + 7x + 12
what are the next 2 numbers in the pattern -6,48,-24,12...
Answer:
-6,48,-24,12,-6, 3
est
If f(x) = x2 - 1. find f(-1)
Answer:
f(-1) = 0
Step-by-step explanation:
Step 1: Define
f(x) = x² - 1
f(-1) is x = -1
Step 2: Substitute and Evaluate
f(-1) = (-1)² - 1
f(-1) = 1 - 1
f(-1) = 0
All of the following numbers are rational except
O 25
O √17
O √121
O V1.44
A unit rate is a rate in which the unit in the denomonater is
A:1
B:2
C:0
D:3
Answer:
the answer is A hope this helped
Step-by-step explanation:
A football team gained 6 yards on the first down, lost 19 yards on the second down, and gained 17 yards on the third down. How many yards does it need to gain on the fourth down to have a 10-yard gain (known as getting a first down) from its starting position?
Answer:
They need to earn 6 yards on the fourth down to have a 10 yard gain from their starting position
Step-by-step explanation:
A football team gained 6 yards on the first down, lost 19 yards on the second down,
Total gained yards:
6 - 19 = -13 yards
So at the end of 2nd down the team lost 13 yards.
They gained 17 yards on the third down.
-13 + 17 = 4
So at the end of 3rd down the team gained 4 yards.
They want 10 yard gain at the end of 4th down.
If they gain 6 yards in the 4th down then the sum will be 10 yards
4 + 6 = 10
Hence, they need to earn 6 yards on the fourth down to have a 10 yard gain from their starting position.
Which type of factoring is required to change x2 - 16 into factored form?
a.)Greatest Common Factor
b.) Difference of Squares
c.) Trinomial Factoring
The sum of three consecutive even integers is 138.Find the integers
Answer:
The 3 integers are 44, 46, 48
Step-by-step explanation:
The integers are:
Let the three consecutive even integers be denoted as :
x,x+2,x+4
x+x+2+x+4=138
3x+6=138
3x=138−6
3x=132
x=132/3
x=44
The integers are:
x=44
x+2=46
x+4=44+4=48
what is the slope for a line that is parallel to the line y=2/5x-4
Answer:
2/5
Step-by-step explanation:
The slope of the line
y=2/5x-4
is 2/5 since it is in the form y = mx+b where m is the slope
Parallel lines have the same slope so a line that is parallel to y=2/5x-4 has a slope of 2/5
What is the point slope form
Answer:
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).
Step-by-step explanation:
Answer: y - 2 = -6/5(x - 0)
You use the equation (y - y1) = m(x - x1)
Where y1 and x1 are coordinates of a point on the equation.
If the y intercept is 2, then the point (0, 2) is on the equation.
i’ll give brainliest
Determine if this series converges or diverges. Find the sum if possible. 250, 50, 10...
Answer:
50
Step-by-step explanation:
Answer:
312.5
Step-by-step explanation:
We have the series: 250, 50, 10...
As we can see, each subsequent term gets smaller and smaller. Eventually, it will be infinitesimally small. So, our series converges.
We can also see this from our common ratio. Each term is 1/5 of the previous term. Since our r 1/5 is less than 1, our series will converge.
Since it converges, we can indeed find our sum. First, we can write our series using summation. This will be:
[tex]\displaystyle{\sum_{n=0}^{\infty} 250(\frac{1}{5})^n }[/tex]
We can use the following infinite geometric series formula:
[tex]\displaystyle{\sum_{n=0}^{\infty} ar^n=\frac{a}{1-r}[/tex]
So, let's substitute 250 for a and 1/5 for r. This yields:
[tex]\displaystyle{\sum_{n=0}^{\infty} 250(\frac{1}{5})^n }=\frac{250}{1-\frac{1}{5}}[/tex]
Subtract:
[tex]\displaystyle{\sum_{n=0}^{\infty} 250(\frac{1}{5})^n }=\frac{250}{\frac{4}{5}}[/tex]
Divide. So, our series converges to:
[tex]\displaystyle{\sum_{n=0}^{\infty} 250(\frac{1}{5})^n }=312.5[/tex]
And we're done!
Help me solve this problem please
can I get help????? pleaseeeeeee
Answer:
The answer is:
u = 7
Step-by-step explanation:
7 x 1 = 7
7 x u = 7u
So..
u = 7
11. Find the product of (3x+5) with (2x - 3) in simplest form.
Answer:
(3x + 5)(2x - 3) = 6x² + x - 15
Step-by-step explanation:
To find the product of two binomials, we could use the FOIL method.
First
Outer (Outside)
Inner (Inside)
Last
(3x + 5)(2x - 3) = (3x)(2x) + (3x)(-3) + (5)(2x) + (5)(-3) = 6x² - 9x + 10x - 15 = 6x² + x - 15
So the product of the two binomials would be 6x² + x - 15.
I hope you find my answer and explanation to be helpful. Happy studying.
What is an equation of the line that passes through the points (-6,5) and (6,7)
Answer:
y = 1/6 x + 6
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (7-5)/(6-(-6))
m = 2/12 = 1/6
Substitute x and y values with a pair of coordinates,
y = mx+c
7 = 1/6(6) + c
7 = 1 + c
c = 6
Thus, the equation is y = 1/6 x +6
Solve 5(x+3)=2x+3 what does x equal
Answer:
x= -4
Step-by-step explanation:
1. Expand the brackets (multiply everything inside by the number outside):
5x + 15= 2x + 3
2. Move all of the x terms to one side and all of the number terms to the other:
Subtract 2x from both sides
5x-2x + 15= 2x-2x + 3
3x + 15= 3
Subtract 15 from both sides
3x + 15- 15= 3 - 15
3x= -12
3. Solve for x:
x= -12/3
x= -4
What statement models this equation ?
11+(-11)=0
Answer:
Addition of the opposite
Step-by-step explanation:
You are adding a negative number to the original (11) and that number you are adding ir the opposite of the first one, so the process will result in a zero (neutral element of the addition)
what is 710,000 to the neareast ten thousand
Answer:
710,000
Step-by-step explanation:
There are 100 bolts in 5 bookcases. What is the unit rate in bolts per bookcase?
Answer:
20/1
Step-by-step explanation:
The unit rate in bolts per bookcase is 20bolts per bookcase
What is unit rate?There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.
We are Given that 100 bolts in 5 bookcase
We need to find the unit rate in bolts per bookcase
Number of bolts in 5 bookcases= 100
Number of bolts in 1 bookcases= 100/5
= 20
So, it will be 20 bolts everyday
Thus, the unit rate is 20bolts/sec
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What two elements have properties that are most similar
Answer:
Lithium and Magnesium
Step-by-step explanation:
Answer: Sodium and Potassium.
Step-by-step explanation: Both are alkali metals and are in group 1 of the periodic table.
James wants to buy the new portable media player shown. He has 4 times as many songs as Susan. Susan has 1,263 songs.
Will all of his songs fit on the portable media player? How many songs does James have?