Answer:
The domain of a rational function consists of all the real numbers x except those for which the denominator is 0 . To find these x values to be excluded from the domain of a rational function, equate the denominator to zero and solve for x .
Step-by-step explanation:
i google this l M A O
A rational function's domain includes all real numbers x except those with a denominator of zero.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A rational function's domain includes all real numbers x except those with a denominator of zero. To locate these x values that are not in the domain of a rational function, set the denominator to zero and solve for x.
Hence, A rational function's domain includes all real numbers x except those with a denominator of zero.
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A laptop has a listed price of $703.98 before tax. If the sales tax rate is 9.25% , find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
The cost of the laptop is $769.10Step-by-step explanation:
In this problem we are required to find the cost of the laptop when 9.25% of the cost is added as tax
we are given that the tax rate is 9.25% of the initial cost
and the initial cost is $703.98
let us calculate 9.25% of $703.98
(9.25/100)* 703.98= 0.0925*703.98= $65.12
Hence the charges for tax is $65.12
The total cost of the laptop when tax is included is
the initial cost Plus the tax charges= $703.98+$65.12= $769.098
$769.10
I need help ASAP!!
Can someone explain this? And answer it? I am so confused!!
Answer:
Step-by-step explanation: hope this helps
Solve for 'x' in both of the following problems. Show all your work/explanations on your own paper and then submit a picture of your work and answers in the dropbox below.
Answer/Step-by-step explanation:
1. <B is an inscribed angle in a circle which intercepts arc AC.
Therefore, m<B = ½ of m<AC
B = ½ * 128° = 64°
x = 180 - (64 + 43)
x = 180 - 107 = 73°
2. The circle given shows two chords intersecting at point H.
According to intersecting chords theorem, the products of the segments formed by one chord equals the product of the segments formed by the other.
Therefore,
[tex] 10*x = 14*5 [/tex]
Solve for x
[tex] 10x = 70 [/tex]
Divide both sides by 10
[tex] x = 7 [/tex]
The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB in slope-intercept form that contains point (3, −2). A. y = 2x + 4 B. y = negative 1 over 2 , x − 1 over 2 C. y = − 1 over 2 , x − 7 over 2 D. y = 2x − 8
Answer:
The answer is option DStep-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
y = 2x + 4
comparing with the above equation for a line
The slope / m = 2
Since the lines are parallel their slope are also the same
Slope of parallel line = 2
So we have
The equation of the line using point
( 3 , -2) and slope 2 is
y + 2 = 2( x - 3)
y + 2 = 2x - 6
y = 2x - 6 - 2
We have the final answer as
y = 2x - 8Hope this helps you
Answer:
y=2x-8
Step-by-step explanation:
Evaluate the following expression if v = 5 and w = -3: 6v - w. Type the number answer only. For example: if the answer was value is 17, then you would type 17 in the blank.
Answer:
33
Step-by-step explanation:
6v - w =
6(5) - (-3) =
30 + 3 =
33
What is a21 of the arithmetic sequence for which a7=−19 and a10=−28? A. -35 B. 35 C. -58 D. -61
Answer:
a21 = -61
Step-by-step explanation:
[tex]a_{n}=a_{1}+(n-1)d[/tex]
[tex]-19=a_{1}+(7-1)d[/tex]
[tex]-28=a_{1}+(10-1)d[/tex] (subtract to eliminate a₁)
9 = -3d
d = -3
-19 = a₁ + (6)(-3)
-1 = a
a21 = -1 + (21 - 1)(-3)
= -61
Answer:
-61 (Answer D)
Step-by-step explanation:
The general formula for an arithmetic sequence with common difference d and first term a(1) is
a(n) = a(1) + d(n - 1)
Therefore, a(7) = -19 = a(1) + d(7 - 1), or a(7) = a(1) + d(6) = -19
and a(10) = a(1) + d(10 - 1) = -28, or a(1) + d(10 - 1) = -28
Solving the first equation a(1) + d(6) = -19 for a(1) yields a(1) = -19 - 6d. We substitute this result for a(1) in the second equation:
-19 - 6d + 9d = -28. Grouping like terms together, we get:
3d = -9, and so d = -3.
Going back to an earlier result: a(1) = -19 - 6d.
Here, a(1) = -19 - 6(-3), or a(1) = -1.
Then the formula specifically for this case is a(n) = -1 - 3(n - 1)
and so a(21) = -1 - 3(20) = -61 (Answer D)
A business has $25,000 to spend on training sessions for its employees. It wants 45 of its employees to attend. The business wants to send as many employees as it can to a technology training. The technology training costs $1,000 per person. The customer service training costs $500 per person. Create a system of equations that models how many of each type of training the business should purchase. 1,000x + 500y = 45 x + y = 25,000 1,000x + 500y = 25,000 x + y = 45 1,000x + y = 45 x + 500y = 25,000 x + 500y = 45 1,000x + y = 25,000
Answer: [tex]x+y=45\\\\1000 x + 500y = $2500[/tex]
Step-by-step explanation:
Let x = Number of employees taking technology training
y= Number of employees taking customer service training
Given, The technology training costs $1,000 per person. The customer service training costs $500 per person.
Total cost = 1000 x + 500y
Since, Total cost = $25,000 and total employee to attend training= 45 .
That means , the required equations are:
[tex]x+y=45\\\\1000 x + 500y = $2500[/tex]
Answer:
1,000x + 500y = 45
x + y =45
Step-by-step explanation:
So that means answer b is the correct answer, also I took the test.
1. Find the area of a triangle (PLEASE ONLY in CM²) 2. Seven squared equals seven times .........
Answer:
30 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 6 and h = 10 , thus
A = [tex]\frac{1}{2}[/tex] × 6 × 10 = 3 × 10 = 30 cm²
and 7² = 7 × 7 = 49
Answer:
1) 30 cm²
2) Seven squared equals seven times 7
Step-by-step explanation:
Base = 6 cm
Height = 10 cm
Area of triangle = [tex]\frac{1}{2}[/tex]*base * height
= [tex]\frac{1}{2} * 6 * 10[/tex]
= 3 * 10
= 30 cm²
2) 7² = 7 * 7
HELP ASAP YOU WILL GET BRAINLEIST AND I WILL THANK AND RATE 5 IF RIGHT
Three people are standing on a Cartesian coordinate plane. Robert is standing at point $(4,3)$, Lucy at point $(6,1)$, and Liz at point $(1,7)$. How m. any units away is the farther person from Robert? 3 minutes ago Let f and g be inverse functions. Find f(g(8)).
Answer: Liz is further away. Her distance from Robert is 5 units.
=================================================
Work Shown:
R = Robert's location = (4,3)
L = Lucy's location = (6,1)
Z = Liz's location = (1,7)
We need to find the lengths of segments RL and RZ to find out which person (Lucy or Liz) is further from Robert.
Use the distance formula to find the length of each segment. Let's start with the distance from R to L
[tex]d = \sqrt{(x_1+x_2)^2+(y_1+y_2)^2}\\\\d = \sqrt{(4-6)^2+(3-1)^2}\\\\d = \sqrt{8}\\\\d \approx 2.828427\\\\[/tex]
The distance from Robert to Lucy is approximately 2.828427 units.
--------------
Now find the distance from R to Z
[tex]d = \sqrt{(x_1+x_2)^2+(y_1+y_2)^2}\\\\d = \sqrt{(4-1)^2+(3-7)^2}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
The distance from Robert to Liz is exactly 5 units. We see that Liz is further away from Robert, compared to Lucy's distance from him.
A.) pinky bought 1 1/2 kg of apples and 5 1/4 kg of mangoes and 1 1/2 Kg of oranges. Find the total weight of fruits B.) If her family eats 3/4 Kg of apples and 2 1/2 kg of mangoes and 1/2 Kg of oranges. Find the weight of the fruits left (Can any one say the answer please with explanation if who say the answer first I will mark them as the brainliest)
Answer:
a) The total weight of fruits is [tex]8\,\frac{1}{4}[/tex] kilograms, b) The weight of the fruits left is [tex]4\,\frac{1}{2}[/tex] kilograms.
Step-by-step explanation:
a) The total weight of fruits ([tex]m_{T}[/tex]) is calculated by the following formula:
[tex]m_{T} = m_{a} + m_{m}+m_{o}[/tex]
Where:
[tex]m_{a}[/tex] - Total weight of apples, measured in kilograms.
[tex]m_{m}[/tex] - Total weight of mangoes, measured in kilograms.
[tex]m_{o}[/tex] - Total weight of oranges, measured in kilograms.
If [tex]m_{a} = 1\,\frac{1}{2} \,kg[/tex], [tex]m_{m} = 5\,\frac{1}{4}\,kg[/tex] and [tex]m_{o} = 1\,\frac{1}{2}\,kg[/tex], then:
[tex]m_{T} = 1\,\frac{1}{2}\,kg + 5\,\frac{1}{4}\,kg + 1\,\frac{1}{2}\,kg[/tex]
[tex]m_{T} = \frac{6}{4}\,kg + \frac{21}{4}\,kg + \frac{6}{4}\,kg[/tex]
[tex]m_{T} = \frac{33}{4}\,kg[/tex]
[tex]m_{T} = 8\,\frac{1}{4}\,kg[/tex]
The total weight of fruits is [tex]8\,\frac{1}{4}[/tex] kilograms.
b) The weight eaten by her family is determined by the following expression:
[tex]m_{E} = m_{a,e} + m_{m,e} + m_{o,e}[/tex]
Where:
[tex]m_{a,e}[/tex] - Eaten weight of apples, measured in kilograms.
[tex]m_{m,e}[/tex] - Eaten weight of mangoes, measured in kilograms.
[tex]m_{o,e}[/tex] - Eaten weight of oranges, measured in kilograms.
Given that [tex]m_{a,e} = \frac{3}{4}\,kg[/tex], [tex]m_{m,e} = 2\,\frac{1}{2}\,kg[/tex] and [tex]m_{o,e} = \frac{1}{2}\,kg[/tex], the weight eaten by her family is:
[tex]m_{E} = \frac{3}{4}\,kg + 2\,\frac{1}{2}\,kg + \frac{1}{2}\,kg[/tex]
[tex]m_{E} = \frac{3}{4}\,kg + \frac{10}{4}\,kg + \frac{2}{4}\,kg[/tex]
[tex]m_{E} = \frac{15}{4}\,kg[/tex]
[tex]m_{E} = 3\,\frac{3}{4}\,kg[/tex]
The weight of the fruits left is found by subtraction:
[tex]m_{R} = m_{T}-m_{E}[/tex]
[tex]m_{R} = 8\,\frac{1}{4} \,kg -3\,\frac{3}{4}\,kg[/tex]
[tex]m_{R} = \frac{33}{4}\,kg-\frac{15}{4}\,kg[/tex]
[tex]m_{R} = \frac{18}{4}\,kg[/tex]
[tex]m_{R} = 4 \,\frac{1}{2}\,kg[/tex]
The weight of the fruits left is [tex]4\,\frac{1}{2}[/tex] kilograms.
Find the coordinates of point G that lies along the directed line segment from F(-1, -1) to H(-8, 20) and partitions the segment in the ratio of 5:2.
Answer:
coordinates of point g is ( -6, 14)
Step-by-step explanation:
The coordinates of the point which divides the point (x1,y1) and (x2,y2) in m:n ratio is given by (nx1+mx2)/(m+n), (ny1+my2)/(m+n).
___________________________________________
given point
F(-1, -1) to H(-8, 20)
ratio : 5:2
the coordinates of point g is
(2*-1+5*-8)/(5+2), (2*-1+5*20)/(5+2)
=> (-2 -40/7 , -2+100/7)
=> (-42/7, 98/7)
=>( -6, 14)
Thus , coordinates of point g is ( -6, 14)
What is the volume of the following rectangular prism?
Answer:
1/10 units ^3
Step-by-step explanation:
The formula for the volume is given by
V = Bh where B is the area of the base and h is the height
V = 3/20 units ^2 * 2/3 units
= 3/20 * 2/3
= 1/10 units ^3
Given that ∆MTW ≅ ∆CAD, which angles are corresponding parts of the congruent triangles? ∠W ≅ ∠C ∠W ≅ ∠D ∠W ≅ ∠A
Answer:
The Answer would be ∠W ≅ ∠C
Step-by-step explanation:
Only one that is congruent
The measure of the angle ∠TWM is congruent to the measure of the angle ∠ADC. Therefore, the correct option is B.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
A triangle is a three-sided polygon with three edges and three vertices in geometry.
Given that the triangle ∆MTW is congruent to the triangle ∆CAD.
So, we have
∠MTW ≅ ∠CAD
∠WMT ≅ ∠DCA
∠TWM ≅ ∠ADC
If two triangles are equivalent, the ratio of matching sides will stay constant.
The proportion of the point ∠TWM is harmonious with the proportion of the point ∠ADC.
Therefore, at that point, the right choice is B.
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Helen made a scale drawing of the middle school. The gym is 195 inches long in the drawing. The actual gym is 104 feet long. What scale did Helen use?
Answer:
5 inches on the drawing = 32 actual inches
Step-by-step explanation:
195 inches
104 x 12 = 1248 inches
1/39
Answer:
she used a scale of 5 inches to represent 32 inches actual length
Step-by-step explanation:
We are told that helen made the gym to be 195 inches long in the drawing.
Now, we are told that the actual length of the gym is 104 ft long.
Thus, converting to inches,
1ft = 12 inches
So, 104ft = 104 × 12 = 1248 inches
Which means that 194 inches represented 1248 inches.
So the scale is:
195:1248
Dividing both by a common factor of 39 to give a scale of (195/39):(1248/39)
This gives;
5:32
So she used a scale of 5 inches to represent 32 inches actual length
64. Find the coordinates of the midpoint of a segment with endpoints (7.-1) and (-1, 5).
(x₂+x2 yı+Y2
Midpoint formula
2
Answer:
The coordinates of the midpoint of the segment is (3,2)
Step-by-step explanation:
To find the coordinates of the midpoint, we use the midpoint formula which is;
(x1+x2/2 , y1+y2/2)
Where;
x1 = 7
x2 = -1
y1 = -1
y2 = 5
= (7-1)/2 , (-1+5)/2 = 6/2, 4/2 = (3,2)
The two-way frequency table below shows data on years working with the company and college degree status for Tom's coworkers. Complete the following two-way table of row relative frequencies. (If necessary, round your answers to the nearest hundredth.)
Answer:
Lets start with the top row.
First, add the two values.
5+14=19
Now, divide each value by the total.
5/19=0.26315789473
Round the decimal to the nearest hundredth.
5/19=0.26
14/19=0.73684210526
Round it to the nearest hundredth.
14/19=0.74
Now, The second row.
Add the two values.
16+7=23
Divide the first value by the total.
16/23=0.69565217391
Round it to the nearest hundredth.
16/23=0.70
Divide the second value by the total.
7/23=0.30434782608
Round to the nearest hundredth.
7/23=0.30
Done!
Answer:
Row 1: 0.26 0.74
Row 2: 0.70 0.30
Step-by-step explanation:
Khan
The area of a rectangle is 90 ft2. If the rectangle is 9 feet long, what is its width?
Answer:
10
Step-by-step explanation:
just divide 90 by 0 and u will get the answer
Answer:
10ft
Step-by-step explanation:
To find the area of a rectangle, it is width✖️height.
Because the area and the height is given,
Area: 90ft^2
Height: 9ft.
to find the width, you need to divide 90/9=10
So, the width is 10ft.
To check just in case, you can multiply 10 ✖️9=90
Hope this helped, have a nice day!
please solve this equation using quadratic formula
Step-by-step explanation:
x+3/x-2-1-x/x=17/4find the LCM of the denominators (x-2)x=x^2-2x
(x^2-2x)4=4x^2-8x divide the denominator by the LCM and then multiply x to the numerator
(x+3)4=4×+3
(1-x)(4x-8)
1(4x-8)-x(4x-8)
4x-8-4x^2-8x=4x
Select the correct answer. The velocity of a train relative to the ground is represented by the distance from A to B in the diagram. The velocity of a ball thrown inside the train at an angle of 66° relative to the train is represented by the distance from B to C. What is the distance from A to C (the velocity of the ball relative to the ground), correct to two decimal places? Assume that all the points in the diagram lie in the same plane. A. 21.14 m/s B. 18.03 m/s C. 17.20 m/s D. 15.00 m/s
Answer:
Step-by-step explanation:
we use cosine formula
2×15×10×cos(180-66)=15²+10²-AC²
-300 cos 66=225+100-AC²
AC²=325+300 cos 66
[tex]AC=\sqrt{325+300 cos 66} \approx 21.14 ~m/s[/tex]
The distance from A to C is 21.14. The correct option is A.
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angles of right-angle triangles.
Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.
Given that the velocity of a train relative to the ground is represented by the distance from A to B in the diagram. The velocity of a ball thrown inside the train at an angle of 66° relative to the train is represented by the distance from B to C.
The distance A to C will be calculated as,
2×15×10×cos(180-66)=15²+10²-AC²
-300 cos 66=225+100-AC²
AC=√(325+300 cos 66)
AC = 21.17 m/s
Therefore, the distance from A to C is 21.14. The correct option is A.
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Convert to slope-intercept from: y-3=6(x-5)
Answer:
y = 6x -27
Step-by-step explanation:
y-3=6(x-5)
Distribute
y-3 = 6x-30
Add 3 to each side
y-3+3 = 6x-30+3
y = 6x -27
This is in slope intercept form y=mx+b where m is the slope and b is the y intercept
Hey there! I'm happy to help!
Slope intercept form is y=mx+b. So, the first thing we want to do is isolate y on side of the equation.
y-3=6(x-5)
We use distributive property to undo parentheses.
y=3=6x-30
We add 3 to both sides.
y=6x-27
Now, this in slope intercept form.
Have a wonderful day! :D
Please help! offering 25 points, 5 stars, and a thanks. Ive asked this 3 times now
Answer:
17 quarters
Step-by-step explanation:
Let q = quarters
n = nickels
.25q + .05n = 5.90
we have 16 more nickels than quarters so add 16 quarters to make them equal
n = q+16
Substitute
.25q + .05( q+16) = 5.90
Distribute
.25q+.5q+.80=5.90
Combine like terms
.30q +.8 = 5.90
Subtract .8 from each side
.30q = 5.10
Divide each side by .3
.3q/.3 = 5.1/.3
q = 17
Answer:
Gisel have:
17
quarters
Step-by-step explanation:
1 nickel = 5 cents
1 quarter = 25 cents
1 dollar = 100 cents
5,90 dollars = 5,9*100 = 590 cents
then:
n = t + 16
5n + 25t = 590
n = quantity of nickels
t = quantity of quarters
5(t+16) + 25t = 590
5*t + 5*16 + 25t = 590
5t + 80 + 25t = 590
30 t = 590 - 80
30 t = 510
t = 510 / 30
t = 17
n = t + 16
n = 17 + 16
n = 33
Check:
5n + 25t = 590
5*33 + 25*17 = 590
165 + 425 = 590
Marsha wants to buy carpet to cover her whole living room, except for the tiled floor. The tiled
floor is 4 ft by 2 ft. Find the area the carpet needs to cover. 1)
Solve on paper. Then check your work on Zearn. 1)
1
11
3
7
tiled floor
Answer:
68.06 sq. feets
Step-by-step explanation:
Area of room's floor
11.33 × 7 = 79.33
Area of tiled floor
4.83 × 2.33 = 11.278
Area of floor needed to be carpeted
79.33-11.278= 68.06
Let f (x) = |2). Write a function g whose graph is a vertical shrink by a factor of
followed by a translation 2 units up of the graph of f.
Answer:
This is poorly written, so i will answer it as it was:
"Let f (x) = |2). Write a function g(x) whose graph is a vertical shrink by a factor of A, followed by a translation 2 units up of the graph of f."
I don't really know what you do mean by I2), so i will answer it in a general way.
First, we do a vertical shrink of factor A.
A must be a number smaller than one and larger than zero., then if g(x) is a vertical shrink of factor A of the graph of f(x), we have that:
g(x) = A*f(x)
As 0 < A < 1
We will have that the graph of g(x) is a vertical compression of the graph of f(x)
Now we do a vertical shift of 2 units up.
A general vertical shift of N units up is written as:
g(x) = f(x) + N
Where N is a positive number.
So in our case, we have:
g(x) = A*f(x) + 2.
Where you will need to replace the values of A and f(x) depending on what the actual question says,
A rectangular box with a square base contains 24 cubic feet. if the height of the box is 18 inches, how many feet are there in each side of the base?
Answer:
4
Step-by-step explanation:
V = Lwh
the volume (given) = 24 ft^3
the height (given) = 18" = 1.5'
24 = L*w*1.5
divide both sides by 1.5
16 = Lw
You need to find the number of feet in each side of the base
since the box has a square base
L = W
AND, found above, L*w = 16
so 4*4= 16
Answer - 4
Calculate the volume of the regular triangular pyramid
with the base edges of length 17 feet and a height of
length 5 feet. (Hint: Remember that the base of a
regular triangular pyramid must be an equilateral triangle, not
necessarily congruent to the sides of the pyramid.)
Answer:
70.83 ft³
Step-by-step explanation:
The volume of a pyramid is:
[tex]\frac{bh}{3}[/tex], where b is the base area and h is the height.
Let's first find the area of the base.
[tex]17\cdot5=85\\85\div2=42.5[/tex]
Multiplying this by 5:
[tex]42.5\cdot5=212.5[/tex]
Dividing by 3:
[tex]212.5\div3=70.83[/tex].
Hope this helped!
what is the correct symbol?
Answer:
Since 10/9 is greater than 1, multiplying by 10/9 makes the value larger
Step-by-step explanation:
Step 1: Solve the fraction
10/9 = 1.1112
Therefore 10/9 > 1
Step 2: Multiple the fraction by itself
10/9 x 10/9 = 100/81
Convert fraction to decimals
100/81 = 1.2345678901.....
1.234567901 > 1.1112
Therefore 10/9 x 10/9 is bigger than 10/9
which is the solution set of 18 - 3n + 2 = n + 20 - 4n Ф 0 all reals
Answer:
all reals
Step-by-step explanation:
Simplified, you have ...
20 -3n = 20 -3n
The equation is a tautology, true for all values of n.
The solution set is "all reals."
Use the drawing tool(s) to form the correct answer on the provided graph. The function f(x) is shown on the provided graph. Graph the result of the following transformation on f(x). f(x) + 6
Answer:
[tex]f(x)=x+6 \\[/tex]
Step-by-step explanation:
The transformation is a translation 6 units up.
[tex]f(x)=x+6 \\[/tex]
We can use the parent function f(x)=x, which is a linear function to graph this function.
Then just translate the function 6 units up.
Answer:
on the x-axis to the left -1 and on the y-axis up 4
Step-by-step explanation:
Start from the -2 on the y-axis and go up on the y-axis 6 times and you should be at 4 on the y-axis. But to finish the problem you have to figure out the first line.
To do that start from the -2 on the y-axis then count up till its on a corner in the graph (rise 4 up on the y-axis then to the right once) so the fraction is 4/1
so rise 6 on the y-axis, you should be at 4 then use the formula rise/run 4/1
step 1 go up 6 times y-axis
step 2 use 4/1 rise from the 4 on the y-axis the run 1 to the right
It was 100% when I did it
which whole number has a factor that is the greatest prime factor between 1 and 30?
А. 1,593
B. 1,247
C. 1,311
D. 943
Answer:
B
Step-by-step explanation:
The greatest prime factor between 1 and 30 is 29. Remember that a prime number is a number whose only 2 factors is 1 and the number itself. To find out which number is a multiple of 29, all we have to do is divide it by 29, and if the quotient is a whole number then we have found our answer.
A: 1593 / 29 ≈ 54.93
B: 1247 / 29 = 43
We don't need to check C and D because we know that B is the answer.
1247 has the greatest prime factor between 1 and 30
The factor of a number that divides another number perfectly without leaving any remainder.
For example, the factors of 12 are 1,2,3,4,6 and 12
A prime factor is a number that a prime number
A prime number is a number that can be divided only by 1 and that number
Prime numbers between 1 and 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29
The greatest prime factor between 1 and 30 is 29
To determine which number has the greatest prime factor, divide each of the numbers in the options by 29.
1593 / 29 = 54.9 (29 is not a prime factor of 1593)
1247/29 = 43 (29 is a prime factor of 1247)
1311 / 29 = 45.2 (29 is not a prime factor of 1311)
943 / 29 = 32.5 (29 is not a prime factor of 943)
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Determine if the triangles are congruent.
Answer:
Answer to number 3:
Yes, because these two are similar triangles for sure so all their respective angles are equal in measure, and two pairs of sides are congruent to each other, so the third one must be congruent too.
