Answer: Yes
Step-by-step explanation:
If you were to use AAS, you could prove the third pair of angles congruent by using the fact that the sum of the measures of the angles of a triangle is 180 degrees, and since you have two of the angles, you can solve for the third pair of angles, which would be congruent.
Solve log x = 4. plese help
Answer:
x = 10^4 = 10000
Step-by-step explanation:
log(x) = 4
x = 10^4
Finn removes the plug from a trough to drain the water. the volume, in gallons, in the trough after it has been unplugged can be modeled by the expression 12x2 −13x 3, where x is the time in minutes. choose the appropriate form of the expression that would reveal the time in minutes when the trough is empty. 12(0)2 − 13(0) 3 (3x − 1)(4x − 3) 12(x − 3)2 − 1 12(x − 1)2 − 3
The given expression [tex]\rm 12x^2-13x+3[/tex]equivalent to (3x - 1)(4x - 3) option second is correct.
What is a quadratic expression?A quadratic expression is a second-degree algebraic expression represented by the:
[tex]\rm f(x)=ax^2+bx+c[/tex] ........(1)
Where a, b, and c are the constants and
We have the quadratic expression:
[tex]\rm f(x)=12x^2-13x+3[/tex]
[tex]\rm f(x)=12x^2-9x-4x+3[/tex] (we can write -13x as a sum of -9x and -4x)
After taking common term, we get:
[tex]\rm f(x)=3x(4x-3)-(4x-3)[/tex]
[tex]\rm f(x)=(4x-3)(3x-1)[/tex] or
[tex]\rm f(x)=(3x-1)(4x-3)[/tex]
Thus, the given expression [tex]\rm 12x^2-13x+3[/tex] is equivalent to (3x - 1)(4x - 3).
Learn more about quadratic equations here:
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An angle measures 88° more than the measure of its complementary angle. What is the measure of each angle?
Could you guys help me with this?
Answer:
It might be a two degree angle! :)
Step-by-step explanation:
Determine if the two triangles are necessarily congruent. If so, fill in a flowchart proof to prove that they are. N A B M
Answer:
Step-by-step explanation:
I need more help!....
Answer:
1) Factored Form: y = (x - 3)(x + 1)
X intercepts: (-1, 0), (3, 0)
Axis of Symetry: x = 1
Vertex: (1, -4)
Domain: All real numbers - (-∞, ∞)
Range: y ≥ 4
2) Facotred Form: y = (x - 8)(x + 1)
X intercepts: (-1, 0), (8, 0)
Axis of symetry: x = 3.5
Vertex: (3.5, -20.25)
Domain: All real numbers - (-∞, ∞)
Range: y ≥ -20.25
Step-by-step explanation:
In Texas, the average number of tornadoes in May was about 154% of the average number of tornadoes in April. Write and solve a proportion to find the average number of tornadoes that occurred in April.
The table of the average number of tornadoes is an illustration of proportions
The average number of tornadoes in April is 28
How to determine the average number of tornadoes in April?From the table, we have:
Average number of tornadoes in May in Texas = 43
From the question, we have:
May = 154% * April
This gives
43 = 154% * April
Express as decimal
43 = 1.54 * April
Divide both sides by 1.54
April = 27.9
Approximate
April = 28
Hence, the average number of tornadoes in April is 28
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Please help. this is beyond confusing. it’s stressing me out.
Answer:
D = 1120
Step-by-step explanation:
Given:
W = 70T = 4Substitute the values into the equation:
⇒ D = WT²
[tex]\text{D = WT}^{2} \ \text{can also be written as D = (W)(T)(T)}[/tex]
⇒ D = (W)(T)(T)
⇒ D = (70)(4)(4)
Simplify the RHS:
⇒ D = 280(4)
⇒ D = 1120
this is hard i need help. Please this is due today.
Answer:
140
Step-by-step explanation: all you have to do is add all the numbers then multiply those by 4 then you will get 140
What do a rectangle and a kite have in common?
Answer:
- Both are quadrilaterals.
- Both have two pairs of side of equal length.
I hope my answer helps you.
Answer: 2 pairs of congruent sides
Hope this helps!
have a nice day!
Need help! i have no idea how to do domain and range!!!://
Step-by-step explanation:
Dude THE Values for graph are given or not
find the LCM of denominator 3/8 and 3/4
Answer:
Step-by-step explanation:
Actually, it is 8.
3/8: nothing need be done.
3/4: Multiply top and bottom of the fraction by 2.
3*2 / 4*2 = 6/8
So the lowest common multiple is 8.
The factions become 3/8 and 6/8
Find the center and radius of the circle represented by the equation below.
(x + 5)² + (y – 5)² = 225
1
Center:
Radius:
Answer: the center is (-5, 5) and the radius is 15
Step-by-step explanation:
the standard form of a circle is
(x-h)^2 + (y-k)^2 = r ^2 where h is the x coordinate and k is the y coordinate of the center of the circle
(h,k) = the center of the circle
r = radius
therefore,
(x+5)^2 + (y-5)^2 = 225 means that x has to be -5 since subtracting a negative creates a positive and y must be 5 as it is negative in the equation
think of it as making the sum/difference 0 within the parentheses:
(x+5) -5+5 = 0 so x=-5
(y-5) 5-5 = 0 so y =5
so the center of the circle is (-5,5)
the radius is simply 225 square rooted which is 15
hope this helps :)
please help I don't know the median give an answer and explanation
Answer:
Median is the middle of the data set. For example this data set is 4, 6, 7, 9, 10. First you take out 4 and 10. The you take out 6 and 9 to get a median of 7. But if there is an even amount of numbers like in this data set, 1, 2, 4, 5. Then you take out 1 and 5 and then find the middle point in between 2 and 4 which is 3.
HELP ASAP
Linear equations
(05.01) A scale drawing of a kitchen is shown below. The scale is 1 : 20.
5 inches
4 inches
Show your work to determine the area of the room in square feet.
Answer:
500/9 or 55.56 ft²Step-by-step explanation:
Find the dimensions of the kitchen, convert to feet
5 in * 20 = 100 in = 100/12 ft = 25/3 ft4 in * 20 = 80 in = 80/12 ft = 20/3 ftThe area is
25/3 * 20/3 = 500/9 = 55.56 ft² (rounded)Answer:
5.56 ft² (nearest hundredth)
Step-by-step explanation:
Given:
width = 4 inlength = 5 inIf the scale is 1 : 20, then to scale up, multiply the width and length by 20:
⇒ width = 4 × 20 = 80 in
⇒ length = 5 × 20 = 100 in
Area = width × length
= 80 × 100
= 800 in²
1 ft = 12 in
⇒ 1 ft² = 12² in² = 144 in²
Therefore, to find the area of the room in square feet, divide the area in inches by 144:
⇒ area = 800 ÷ 144
= 5.56 ft² (nearest hundredth)
The distance from earth to the moon is about 3.84 times 10^6 meters. what is one fourth of this distance
If the distance from the earth to the moon is about 3.84 x 10⁶.One-fourth of this distance will be 960,000
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, the distance from the earth to the moon is about 3.84 x 10⁶.
One-fourth of this distance is found by dividing the total distance by 4.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
Suppose the one-fourth of this distance will be x,
(1/4)× 3.84 x 10⁶ =x
x=(3.84 x 10⁶)/4
x=960,000
Thus, if the distance from the earth to the moon is about 3.84 x 10⁶. One-fourth of this distance will be 960,000
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#SPJ5
A company claims that its tablet computers have an average recharge time of 3 hours. Using a random sample of 50 company tablet computers, a consumer group determines a mean recharge time of 2.5 hours with a standard deviation of 0.3 hours.
Answer:
The correct answer is 1.65
Step-by-step explanation:
~Hope this helps! :)
PLS HELP, EXPLANATION IS GREATLY APPRECIATED!!!!!
Answer:
a = alpha
(sin a)^2
Step-by-step explanation:
(tan a)^2=(sin a)^2/(cos a)^2
(sec a)^2 = 1/(cos a)^2
if we combine we get ((sin a)^2 * (cos a)^2)/(cos a)^2
simplafy
HOPE THIS HELPSSSS<3
3 L of water are shared equally among 5 friends. What fraction of a liter did each friend get?
Explanation: Simply divide 3 over 5. We cannot do much with the fraction since 3/5 can't be reduced. So we leave it as is.
3/5 in decimal form is exactly 0.6 and that converts to 60%, meaning each person gets 60% of a full liter.
Fiona is studying how income taxes impact various families and their finances .she creates a table with various amounts of taxes owed and estimates that this represents 9%of each familys gross income
Income tax is the tax that is imposed by the government on the income that is generated by individuals and businesses.
What is a tax?Your information is incomplete. Therefore, an overview of a tax will be given. It should be noted that a tax is a compulsory levy that is paid by individuals and businesses.
Also, income tax is the tax that is imposed by the government on the income that is generated by individuals and businesses. This is important to generate revenue for the government.
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The length of a rectangle is three times its width.
If the perimeter of the rectangle is 64 cm, find its length and width.
Answer:
Length: 24 cm
Width: 8 cm
Explanation:
Let Width be "w"
Then Length is "3w"
=================
Perimeter of rectangle = 2(length+width)
===================================
2(3w+w) = 64(4w) = 32w = 8So, width is 8 cm
Length: 3w ⇒ 3(8) ⇒ 24 cm
Answer:
Length = 24 cmWidth = 8 cmStep-by-step explanation:
Given
Length = 3 x Width Perimeter = 64 cmSolving
Perimeter = 2(Length) + 2(Width)Perimeter = 2(Length + Width)Perimeter = 2(3 x Width + Width)Perimeter = 2(4 x Width)Perimeter = 8 x Width64 = 8 x WidthWidth = 64/8 = 8 cmLength = Width x 3 = 8 x 3 = 24 cmhelp me, Sofia practices swimming and has every day for three weeks. the first day she trains 15 minutes and each day she trains 5 minutes more than the day before She constructs the sequence for the first week of training and determines the elements of the sequence and the type.
Answer:
20
Step-by-step explanation:
you add 15 and 5
The surface area of a cylinder is 432 pi yd2. The height of the cylinder is five times the radius. What is the diameter of the cylinder?
Since the surface area of this cylinder is [tex]432\pi \;yd^2[/tex], its diameter is equal to 12 yards.
How to calculate surface area.Mathematically, the surface area (SA) of a cylinder is given by this formula:
[tex]S.A = 2\pi rh + 2\pi r^2[/tex]
Where:
h is the height.r is the radius.Given the following data:
Surface area of cylinder = [tex]432\pi \;yd^2[/tex]Height = 5r.Substituting the given parameters into the formula, we have;
[tex]432\pi = 2\pi r(5r) + 2\pi r^2\\\\432\pi = 2\pi 5r^2 + 2\pi r^2\\\\216=5r^2+r^2\\\\216=6r^2\\\\r^2=36\\\\r=\sqrt{36}[/tex]
r = 6 yards.
For the diameter:
Diamter = 2 x radius
Diamter = 2 x 6
Diameter = 12 yards.
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Find the perimeter of the composite figure
7+7+5+5=24
So therefore the permeter is 24
Which of the following proves these triangles are congruent
Answer:
ASA
Step-by-step explanation:
ASA rule states that: If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.
Enlarge the house using a scale factor of 1 : 2.
Answer:
See picture & explanation below.
Step-by-step explanation:
The scale is 1:2, so everything is doubled in size.
Count the number of squares each segment is in length and multiply it by 2. Then draw all new segments that are twice as long as the original ones to create a house that is twice as large as the original house.
See the picture below.
Alissa has purchased land for $42,000. Its value is increasing at a rate of 1.75% per year. What will be
the approximate value of the land in 12 years?
Answer:
42000(1.0175)^12 = $51720.45
Step-by-step explanation:
Question 7 of 10
Which situation involves a conditional probability?
O A. The probability that you make a second free throw given that you
made the first free throw
B. The probability that you are given a book for your birthday
O C. The probability that you make two free throws in basketball
D. The probability that you roll a 6 on a number cube
SUBMIT
A) The probability that you make a second free throw given that you made the first free throw
Analyze the diagram below and answer the question that follows.
What is the value of cosA in the triangle above?
A. cosA = 0.5
B. cosA = 1
C. cosA ≈ 0.707
D. cannot be determined without side lengths
Answer:
C
Step-by-step explanation:
the cos of an angle of 45° is equal to √2/2~=0,7071
Do you want the full explanation?
Help, please! It's all in the screenshot
Answer:
cube root of 9. the third option
Step-by-step explanation:
x^3 = 9
we take the cube root of both sides.
so x = cube root of 9
