Answers
Answer:
x = 11
Step-by-step explanation:
opposite angles = congruent
so
10x = 7x + 33
3x = 33
x = 11
--------------------
check
10 * 11 = 7 * 11 + 33
110 = 110
same value, the answer is good
Related Questions
Choose the equation for the graph.
a) y = 2x - 3| +1
b) y = -2|x - 3| +1
c) y = 2x - 3| - 1
d) y = -2|x + 3| -1
e) y = 2x + 3| +1
Answers
The calculated equation for the graph is y = -2|x + 3| - 1
Choosing the equation for the graph.From the question, we have the following parameters that can be used in our computation:
The absolute value graph
An absolute value function is represented as
y = a|x - h| + k
Where
Vertex, (h, k) = (-3, -1)
So, we have
y = a|x + 3| - 1
The graph faces down
So, a is negative
Possible value is a = -2
So, we have
y = -2|x + 3| - 1
Hence, the function is y = -2|x + 3| - 1
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A flower bed has the shape of a rectangle 5yards long 4 yards wide what is its area in square ft
Answers
The area of the flower bed is 180 square feet.
Area refers to the amount of space occupied by a two-dimensional shape or surface. It is measured in square units, such as square meters, square inches, or square centimeters. The area of a shape can be calculated by multiplying the length and width of the shape (in the case of a rectangle or square), or by using more complex formulas for other shapes, such as triangles or circles.
To convert yards to feet, we multiply by 3 since 1 yard = 3 feet.
The length of the rectangle in feet is 5 yards × 3 feet/yard = 15 feet.
The width of the rectangle in feet is 4 yards × 3 feet/yard = 12 feet.
The area of the rectangle in square feet is length × width = 15 feet × 12 feet = 180 square feet.
Therefore, the area is 180 square feet.
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Line xy is parallel to line segment ac as shown in the figure below.
Answers
Yes, students are correct. By AA similarity criterion, triangle XBY and triangle ABC are similar.
Given that, line XY is parallel to line segment AC.
Consider triangle XBY and triangle ABC,
∠X=∠A (Corresponding angles are equal)
∠Y=∠C (Corresponding angles are equal)
By AA similarity, triangle XBY and triangle ABC are similar.
Yes, students are correct. By AA similarity criterion, triangle XBY and triangle ABC are similar.
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circumference of OC 7.5 m F G 76° C APARUMORISCHER
Answers
Answer: 570OC^2mFG
Step-by-step explanation: I did this in school! Trust Me! You can report if wrong!
Irma has $41,000 in a savings account that earns 2% interest per year. The interest is not compounded.To the nearest cent, how much will she have in total in 4months?
Answers
Interest = Principal x Rate x Time
Interest = $41,000 x 0.02 x (4/12) (4 months is one-third of a year)
Interest = $273.33
Therefore, the total amount Irma will have in 4 months is the sum of her initial savings and the interest earned:
Total = $41,000 + $273.33
Total = $41,273.33
Rounding to the nearest cent, Irma will have $41,273.33 in total in 4 months.
(If this doesn’t seem right to you make sure you comment below!)
Polygon JKLM is drawn with vertices J(−2, −5), K(−4, 0), L(−1, 2), M (0, −1). Determine the image coordinates of M′ if the preimage is translated 4 units up.
M′(−4, −1)
M′(4, −1)
M′(0, −5)
M′(0, 3)
Answers
Answer: M′(−4, −1)
Step-by-step explanation: m=-2 j+-5+4=M′(−4, −1)
Answer:
Option D
Step-by-step explanation:
Giovanna deposited
5
$1600 into two different savings accounts.
She deposited half of the money at First Oak and the other half at West United.
How much interest will she have earned from both accounts at the end of 5 years?
(Round to the nearest cent)
Answers
Answer:
Since Giovanna deposited half of the money into each account, she deposited $1600 / 2 = $800 into each account.
Let's assume that First Oak offers an annual interest rate of r1, and West United offers an annual interest rate of r2. The amount of interest earned on each account after 5 years would be:
Interest earned on First Oak = $800 * r1 * 5
Interest earned on West United = $800 * r2 * 5
The total interest earned from both accounts would be the sum of these two amounts:
Total interest earned = $800 * r1 * 5 + $800 * r2 * 5
Total interest earned = $4000 * (r1 + r2)
We are not given the interest rates, so we cannot calculate the exact amount of interest earned. However, we can use the given information to make some observations.
Since we are looking for the total interest earned from both accounts, we can simplify the problem by assuming that the interest rates for both accounts are the same. In this case, we have:
Total interest earned = $4000 * 5 * r
Total interest earned = $20000 * r
To find the interest earned, we need to know the value of r. If, for example, the annual interest rate is 4%, then:
r = 0.04
Total interest earned = $20000 * 0.04
Total interest earned = $800
Therefore, if the interest rates for both accounts are the same and equal to 4%, Giovanna would have earned $800 in interest from both accounts at the end of 5 years. However, if the interest rates are different, the total interest earned would be different as well.
Without knowing the interest rates for the two accounts Giovanna deposited her money in, it's not possible to calculate the total interest she'd earn in 5 years. Normally, you would need to use the Simple Interest formula for each account and then add the two results together.
Explanation:This is a Mathematics question about simple interest, which can be solved using the formula: Interest = Principal × Rate × Time. Given that Giovanna divided her money equally into two accounts at First Oak and West United, she put $800 into each account. However, without information about the annual interest rates for both accounts, we can't calculate the amount of interest Giovanna would earn after 5 years. Once the specific interest rates for the two accounts are provided, one could use the Simple Interest formula for each account and then add the interest from both to get the total.
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Find the volume of figure two
Answers
Answer: 72
Step-by-step explanation:
V=lwh
=(3)(4)(6)
=72
23. As long as supplies last, the local animal shelter will give customers a free collar and name tag for each dog or cat
adopted this month. The shelter has the following collars: 5 blue, 8 green, 2 purple, and 5 brown. The name tags that
are available are 10 plastic, 4 leather, and 6 metal.
What is the probability that the first customer will randomly be given a brown collar?
Answers
The probability that the first customer will randomly be given a brown collar is given as follows:
0.25 = 25%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The total number of collars is given as follows:
5 + 8 + 2 + 5 = 20 collars.
5 of these collars are brown, hence the probability that the first customer will randomly be given a brown collar is given as follows:
p = 5/20 = 1/4 = 0.25 = 25%.
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URGENT!!!
Find the value of n in the picture above. Leave your answer in simplest radical form.
Answers
The value of n in the given triangle is given as follows:
[tex]n = 4\sqrt{5}[/tex]
What is the geometric mean theorem?The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
The bases of the triangle are given as follows:
8 and 10.
Hence the altitude n is given as follows:
n² = 8 x 10
n² = 80
[tex]n = \sqrt{80}[/tex]
[tex]n = \sqrt{16 \times 5}[/tex]
[tex]n = 4\sqrt{5}[/tex]
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There were 8 cows and 12 horses at a farm. 5 horses ran away. How many horses were left?
Answers
Answer:
Step-by-step explanation:
7 horses were left
Question
Construct the exponential function that contains the points (0, 3) and (2, 75).
Provide your answer below:
f(x) = 0
Answers
The exponential function described is f(x) = 3*(5)^x
How to find the exponential function?A general exponential function can be written as:
f(x)= A*(b)^x
Where A is the initial value and b is the base.
Here we know that the function contains the point (0, 3), then:
f(0) = 3 = A*(b)^0
3 = A
We also know that the function contains (2, 75), then:
f(2) = 75 = 3*(b)^2
75/3 = b^2
25 = b^2
√25 = b = 5
The exponential function is.
f(x) = 3*(5)^x
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Statistics help!!!
I chose B and got it wrong, I still don’t understand how to get the correct answer or what that answer is, but I want to understand how to do it right !
What is the probability of rolling a single 6 sided dice three times and getting the following outcomes: 4, a number greater than two, and an
even number.
a) 4/9
b) 21/54 (wrong answer)
c) 1/27
d) 12/216
Answers
Answer:
I am not sure but I will say A I guess.
Practice!
1.
In the diagram, JKLM~ EFGH.
C.
a.
b.
Find the scale factor of JKLM to EFGH.
k=
Find the values of x, y, and z.
x =
y =
Find the perimeter of each polygon.
4y + 4
H3G
11
zo
E 8 F
Z=
30
65°
M
20
D
K
L
Answers
Answer:
a. To find the scale factor of JKLM to EFGH, we can compare the corresponding sides:
JK/JH = KL/KG = LM/LF = x/x = 1
Therefore, the scale factor is 1.
b. Since JKLM~EFGH, the corresponding sides are proportional. We can set up the following ratios:
JK/EF = KL/FG = LM/FH = 1/1
JK/x = KL/20
LM/30 = 1/2
Solving for JK, KL, and LM:
JK = EF = x
KL = 20(1/2) = 10
LM = 30(1/2) = 15
c. To find the perimeter of JKLM, we add the lengths of its sides:
Perimeter of JKLM = JK + KL + LM + MJ
Perimeter of JKLM = x + 10 + 15 + x
Perimeter of JKLM = 2x + 25
To find the perimeter of EFGH, we can use the fact that corresponding sides are proportional:
FG = KL = 10
FH = LM = 15
EG = JK = x
EH = EF = x√2
Perimeter of EFGH = EF + FG + GH + EH
Perimeter of EFGH = x + 10 + 2z + x√2
We are not given a value for z, so we cannot calculate the perimeter of EFGH.
Note: The angle measures given in the diagram are not used in the calculations for this problem.
Solve the following system of equations:
y=6−x
y=x2−6x+6
A. (1, 0), (-4, 1)
B. (0, 6), (5, 1)
C. (5, 8), (3, 6)
D. (-4, 12)
Answers
Answer:
B. (0, 6), (5, 1)
Step-by-step explanation:
y=6−x
y=x2−6x+6
6 - x = x² - 6x + 6
x² - 5x = 0
x(x - 5) = 0
x = 0 or x = 5
x = 0; y = 6 - 0; y = 6
x = 5; y = 6 - 5; y = 1
Answer: (0, 6), (5, 1)
Identify all of the Independent Events
You randomly select and eat three chocolates out of the box
Drawing a marble out of a bag, replace it and draw another
Dominic picks an ice cream cone out of the freezer to eat, then Arianna picks one
Rolling a dice, then picking a block from a pile
Rolling a dice twice
Randomly picking a sock from a laundry basket to wear, then randomly picking a second one
Answers
Out of these events, the independent events are drawing a marble out of a bag, replacing it and drawing another and rolling a dice twice. So the correct option is 2 and 5.
Events that are independent are those in which the outcome of first event has no effect on the outcome of a second event. The independent event in each of the situations according to this definition are:
Drawing a marble out of a bag, replacing it, and drawing anotherRolling a dice twiceThe outcome of the first event in either of these situations have no effect on the outcomes of the second event.
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What is the term-to-term rule for this sequence? 64, 32, 16, 8, 4
Answers
Answer:
Divide by two is the term-to-term rule.
Step-by-step explanation:
64/2=32
32/2=16
16/2=8
8/2=4
Prove that ABC AADC.
51
51
2
B
Statement
D
1 m/BAC = m_DAC = 51
AB = AD=4
Pick statement
AABCEAADe
Reason
Pick statement
Given
Segments are the same length as themselves,
Pick congruence criterion
a hint
congruence
Answers
ΔABC and ΔADC are congruent by SAS
We have,
From the figure,
We have,
ΔABC and ΔADC
∠BAC = ∠DAC = 51 ( given )
AB = AD = 4 ( given )
AC = AC ( common length )
This means,
ΔABC and ΔADC are congruent by SAS
Thus,
ΔABC and ΔADC are congruent by SAS
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The graph below
Which equation matches the graph?
Answers
Answer:
D
Step-by-step explanation:
The equation f(x) = (x - 1)²2 - 2 is being
moved 3 units to the right and 3 units up, write
the new equation
Answers
The new equation after moving 3 units to the right and 3 units up is
[tex]f(x) = (x - 4)^{2} 2 + 1.[/tex]
How to move the equation rights and up?We need to change the equation to move the function [tex]f(x) = (x - 1)^{2} 2 - 2[/tex] three units to the right and three units up:
To shift the function three units to the right, replace x with (x - 3), which adjusts the graph three units to the right. [tex]f(x) = ((x - 3) - 1)^{2} 2 - 2[/tex], which simplifies to [tex]f(x) = (x - 4)^{2} 2- 2.[/tex]
To move the function three units up, multiply the equation by three.[tex]f(x) = (x - 4)^{2} 2 + 1[/tex] is the final equation.
The new equation is now [tex]f(x) = (x - 4)^{2} 2 + 1.[/tex]
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Name the similar triangles. ΔBAC ~ ΔDEF , ΔBAC ~ ΔEDF, ΔBAC ~ ΔDFE, ΔBAC ~ ΔFED
Answers
Based on the angle-angle similarity theorem (AA), the similar triangles in the image given can be named as: ΔBAC ~ ΔEDF.
What are Similar Triangles?When two triangles have the same shape but have different sizes, it means the triangles have corresponding pairs of congruent angles and corresponding pairs of sides that are proportional to each other. The triangles are said to be similar.
The image given show two set of triangles that have two corresponding pairs of congruent angles, based on the angle-angle similarity theorem, it means that they are similar to each other.
Therefore, the similar triangles are:
ΔBAC ~ ΔEDF.
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The Venn diagram below shows the number of items in sets A and B.
An item is chosen at random.
a) Explain how we can tell from the Venn diagram that P(A) ≤ P(B) without doing any calculations.
b) Calculate P(A) and P(B) as fractions in their simplest forms.
B4
A1
9
A is inside B and 9 is outside the venn diagram
Answers
The probability of A would be lesser than or equal to that of B because A is a subset of B
Explaining P(A) ≤ P(B) from the Venn diagramFrom the question, we have the following parameters that can be used in our computation:
The Venn diagram
On the Venn diagram, we have
A is inside B
This means that A is a subset of B
And as such the probability of A would be lesser than or equal to that of B
Calculating P(A) and P(B)Here, we have
A = 1
B = 4
Outside = 9
So, we have
P(A) = 1/(1 + 4 + 9) = 1/14
P(B) = (1 + 4)/(1 + 4 + 9) = 5/14
Hence, the values of P(A) and P(B) are 1/4 and 5/14
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hello, pls help
The distance AB is divided in the specified ratio. Calculate the coordinates of the division point T. A=(3|2|-1), B=(-6|1|-2), 1:2 Please help me because i am not sure if i did it right: T=A+r*(B-A) T=(3,2,-1)+1/3*(-9,-1,-1) T=(0,5/3,-4/3) Is it right? Pls help me
Answers
Yes, your answer is correct.
The coordinates of the division point T are indeed (0, 5/3, -4/3).
We have,
To find the coordinates of the division point T, we use the formula:
T = A + r(B - A)
where r is the ratio in which AB is divided.
In this case, the ratio is 1:2, so r = 1/3 (since 1 + 2 = 3).
Substituting the given values.
T = (3, 2, -1) + (1/3)(-9, -1, -1)
T = (3, 2, -1) + (-3, -1/3, -1/3)
T = (0, 5/3, -4/3)
Thus,
The coordinates of the division point T are indeed (0, 5/3, -4/3).
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I need help with this problem if do thank you a lot
Answers
The area of the sector is 229.92 square inches and the length of the arc is 32.99 inches.
How to find area of the sector?
Follow is the formula of area of the sector,
Area of sector = [tex] \frac{θ}{360} \times πr²[/tex]
where θ is the angle of the sector in degrees, r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14159.
Substituting the given values,
Area of sector
[tex]= \frac{135}{360} \times π \times 14² \\ = 0.375 \times π \times 196 \\ = 73.0875π[/tex]
≈ 229.92 square inches (rounded to two decimal places)
How To find the length of the arc?
The formula for the arc is [tex]Length \: of \: arc = \frac{θ}{360} \times 2πr[/tex]
Substituting the given values,
Length of arc = (135/360) × 2π × 14
= 0.375 × 2π × 14
= 32.9856
≈ 32.99 inches (rounded to two decimal places)
Therefore, the area of the sector is approximately 229.92 square inches and the length of the arc is approximately 32.99 inches.
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Kyle plans to estimate the area of the figure below by identifying the full and partial squares that make up the figure.
On a coordinate plane, a figure contains 40 full squares and 8 partial squares.
If Kyle uses the strategy, which statement best describes the figure?
Answers
The figure that Kyle plans to estimate the area of is likely a series of squares, either full or partially shaded, that do not form a perfect square or rectangle.
The figure that Kyle plans to estimate the area of contains 40 full squares and 8 partial squares. Based on this information, we can assume that the figure is composed of a grid or a series of squares that are either full or partially shaded. Kyle plans to use the strategy of identifying the full and partial squares that make up the figure to estimate its area.
If the figure is a perfect square or rectangle, Kyle can use the formula A = l x w to find its exact area. However, since the figure is not described as a specific shape, Kyle will need to use estimation to find its area. By identifying the full and partial squares, he can estimate the total number of square units that the figure covers. Kyle can then multiply this estimate by the size of each square unit to find an approximate area.
In conclusion, Using his strategy, Kyle can estimate the total area of the figure by identifying the full and partial squares and multiplying his estimate by the size of each square unit.
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Find the reciprocal of the number. Check that the product of the number and its reciprocal is 1.
-7
Answers
The calculated value of the reciprocal of the number -7 is -1/7
Finding the reciprocal of a numberFrom the question, we have the following parameters that can be used in our computation:
Number = -7
As a general rule, the reciprocal of a number x is 1/x
Using the above as a guide, we have the following:
Reciprocal = -1/7 given that Number = -7
To check, we have
-1/7 * -7
Evaluate
Result = 1
Hence, the reciprocal is 1
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Find the value of x for the following
Answers
The side has a length of 15 units.
Let us denote the length of the missing side by x. According to the Pythagorean theorem, the sum of the squares of the lengths of the two legs of a right triangle is equal to the square of the length of the hypotenuse. In mathematical terms, this can be written as:
side² + side² = hypotenuse²
Substituting the given values, we get:
x² + 8² = 17²
Simplifying this equation, we get:
x² + 64 = 289
Subtracting 64 from both sides, we get:
x² = 225
Taking the square root of both sides, we get:
x = 15
Therefore, the missing side has a length of 15 units.
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Given: Circle k(O) with OT ⊥ XY, OU ⊥ WZ, and ∠XOY ≅ ∠ZOW Prove: OT ≅ OU
50 points
Answers
A company estimates that 0.8% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $200.
If they offer a 2 year extended warranty for $30, what is the company's expected value of each warranty sold?
Answers
Step-by-step explanation:
The expected value of each warranty sold can be calculated using the following formula:
Expected Value = (Probability of Failure without warranty x Replacement Cost without warranty) + (Probability of Failure with warranty x Replacement Cost with warranty) - Cost of Warranty
Probability of Failure without warranty = 0.8% or 0.008 (given)
Replacement Cost without warranty = $200 (given)
Probability of Failure with warranty = 0% (since the product is covered under warranty)
Replacement Cost with warranty = $0 (since the cost of replacement is covered under warranty)
Cost of Warranty = $30 (given)
Expected Value = (0.008 x $200) + (0 x $0) - $30
Expected Value = $1.60 - $30
Expected Value = -$28.40
The company's expected value of each warranty sold is -$28.40, which means that on average, the company can expect to lose $28.40 for every warranty sold. This is because the cost of the warranty ($30) is greater than the expected cost of replacement without the warranty ($1.60). Therefore, it is not beneficial for the company to offer the extended warranty.
Your class is collecting bottled water for a service project. The goal is to collect 300
bottles of water. On the first day, Max brings in 3 packs of water with 6 bottles in each
pack. Sarah brings 6 packs with 6 bottles in each pack. How many bottles of water do
they still need to be brought?
Answers
Step-by-step explanation:
Goal: 300
Max brought: 3 × 6 = 18 bottles in total.Sarah brought: 6 × 6 = 3636 + 18 = 54300 - 54 = 246They still need 246 bottles.
