Answers
Answer:
• x=7
,• m∠TSU =89 degrees
Explanation:
From the diagram:
Angles STU and TUS are opposite interior angles of angle TSW.
We know that 'the sum of the two opposite interior angles is equal to the exterior angle'.
Therefore:
\(m\angle\text{TSW}=m\angle STU+m\angle\text{TUS}\)Substituting the given values, we have:
\(\begin{gathered} 12x+7=5x-1+57^0 \\ 12x-5x=57-1-7 \\ 7x=49 \\ x=\frac{49}{7} \\ x=7 \end{gathered}\)The value of x is 7.
Angles TSW and TSU are linear pairs. First, we find the value of TSW.
\(\begin{gathered} \angle\text{TSW}=12x+7 \\ =12(7)+7 \\ =84+7 \\ =91^0 \end{gathered}\)Therefore:
\(\begin{gathered} m\angle\text{TSU}=180-91 \\ =89^0 \end{gathered}\)Related Questions
Kayden walked 18 miles in 6 hours. What was his walking rate in miles per hour?
Answers
Answer:
3
Step-by-step explanation:
If he went 18 miles in 6 hours we can simpliy divide 18 by 6 which is 3 miles per hour
SORMONE PLEASE HELP ME!! ASAP ILL MARK BRAINLIEST!!!
Answers
Answer:
B. x=4
Step-by-step explanation:
If the Federal Reserve decreases the reserve rate from 6% to 4%, how does this affect the amount of money that would result because of fractional-reserve banking from an initial deposit into a bank of $15,000?
A.
It increases the amount by $250,000.
B.
It increases the amount by $125,000.
C.
It decreases the amount by $125,000.
D.
It decreases the amount by $250,000.
Answers
The amount of money increases by $125,000 due to the decrease in the reserve rate. The correct answer is B. It increases the amount by $125,000.
When the Federal Reserve decreases the reserve rate, it allows banks to hold a smaller portion of their deposits as reserves and lend out a larger portion. This change stimulates lending and increases the money supply in the economy through the process of fractional-reserve banking.
In this scenario, the initial deposit of $15,000 can be multiplied by the money multiplier, which is the reciprocal of the reserve rate. Initially, with a reserve rate of 6%, the money multiplier is 1/0.06 = 16.67. Therefore, the initial deposit can lead to a maximum increase in the money supply of $15,000 x 16.67 = $250,050.
When the reserve rate is decreased to 4%, the money multiplier becomes 1/0.04 = 25. Therefore, the same initial deposit of $15,000 can now result in a maximum increase in the money supply of $15,000 x 25 = $375,000.
The difference between the two scenarios is $375,000 - $250,050 = $124,950, which is approximately $125,000. Hence, the amount of money increases by $125,000 due to the decrease in the reserve rate.
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Please help its dues tomorrow!!!
Answers
Answer:
32 square feet
Step-by-step explanation:
Square feet for sand box after flower bed is installed = Area of sandbox - Area of Flower bed.
Area of sandbox
The sandbox is a rectangle so we can find the area simply by multiplying the length by the width.
given length = 10 ft and given width = 6ft
so area = 10 × 6 = 60ft²
Area of flowerbed.
The flower bed is a circle
The area of a circle can be calculated using the formula A = πr²
where r = radius.
The width of the sandbox is the same length as the diameter of the flower bed so diameter = 6ft
To convert diameter to radius we simply divide by 2
So radius = 6/2 = 3ft
So we have A = πr²
==> plug in r = 3
A = π(3)²
==> evaluate exponent
A = π9
==> multiply π and 9
A = 28 ( rounded )
Area for sand.
again area for sand = area of sandbox - area of flower bed
Area of sandbox = 60
Area of flower bed = 28
Area for sand = 60 - 28 = 32
If angle C is a right angle and angle A equals 50º, then prove that the measure of angle B equals 40º. Which of the following would be the first step to assume in order to prove the statement above by contradiction using an indirect proof?
The measure of angle B equals 40º.
Angle C is not a right angle.
The measure of angle A equals 50º.
Angle C is a right angle.
The measure of angle B does not equal 40º.
Answers
The first step would be to assume that "the measure of angle B does not equal 40º".
Which would be the first step to prove the contradiction using an indirect proof?The first step to assume in order to prove the statement above by contradiction using an indirect proof would be to assume the opposite of what you are trying to prove.
In this case, the opposite of the statement "the measure of angle B equals 40º" is "the measure of angle B does not equal 40º".
So, the first step would be to assume that "the measure of angle B does not equal 40º".
This assumption will be used to reach a contradiction, which will ultimately prove that the original statement is true.
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16/20 as a percent 6th grade
Answers
Answer:
80 percent
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
it is the correct answer
a dinner at the hotels advertised at $60 plus 18% tax the total bill for one dinner was
Answers
Answer:
hey you just asked your first question1 congrates!
Step-by-step explanation:
how do I get the total surface area of this solid?
Answers
Given:
\(\begin{gathered} \text{height(h)}=40\operatorname{cm} \\ \text{diameter(d)=28cm} \end{gathered}\)\(\begin{gathered} \text{radius(r)}=\frac{d}{2} \\ \text{radius(r)}=\frac{28}{2} \\ \text{radius(r)}=14\operatorname{cm} \end{gathered}\)\(\text{Total surface area=2}\pi(r)(h+r)\)\(\begin{gathered} \text{Total surface area=2}\times\frac{22}{7}\times14\times(40+14) \\ \text{Total surface area=}2\times22\times2\times54 \\ \text{Total surface area=}4752cm^2 \end{gathered}\)please answer this question .
Answers
Answer:
Remember you have to find the coefficient between age
Step-by-step explanation:
A manufacturer knows that their items have a normally distributed length, with a mean of 16.2 inches, and standard deviation of 0.9 inches. If one item is chosen at random, what is the probability that it is less than 16.4 inches long
Answers
Answer:
57.926%
Step-by-step explanation:
Calculation for the probability that it is less than
16.4 inches long
Using this formula
z = (X - μ) / σ
Where,
X represent Date=16.4
μ represent Mean=16.2
σ represent Standard deviation=0.9 inches
Let plug in the formula
z = (16.4 - 16.2) /0.9 inches
z=0.2/0.9 inches
z = 0.2
Using Z-score table to find the area of 0.2
z=0.57926*100
z=57.926%
Therefore the probability that it is less than
16.4 inches long is 57.926%
Simplify the cube root in simplest radical form.
9x374
Please help
Answers
Answer:
D. \(xy\sqrt[3]{9y}\)
Step-by-step explanation:
\(\sqrt[3]{9x^3y^4}\)
\(\sqrt[3]{9}\sqrt[3]{x^3}\sqrt[3]{y^4}\)
The \(\sqrt[3]{x^3}\) cancels out to become x:
\(\sqrt[3]{9}x\sqrt[3]{y^4}\)
Split the \(y^4=y*y^3\)
\(\sqrt[3]{9}x\sqrt[3]{y^3}\sqrt[3]{y^1}\)
\(\sqrt[3]{y^3} =y\)
\(xy\sqrt[3]{9} \sqrt[3]{y}\)
Put the cube root of y and cube root of 9 together:
\(xy\sqrt[3]{9y}\)
Rewrite 2/5 and 3/4 so that they have common denominators. Then add the fractions and simplify the sum
Answers
Answer:
8/20+15/20=23/20
23/20=1 3/20
PLEASE HELP WILL MARK BRAINLIEST!!!!!!!!! EXPLAIN
Answers
Answer:
devide the circle into 16 (8 above and 8 below)
in an exam,Kianna scored 80% out of a total of 520 how may marks did she score?
Answers
Answer:
416
Step-by-step explanation:
you take 520 times .80
What is a perfect square 6^1
Answers
A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.
However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.
is 6(3x + 1) and 9x + 6 + 9x equivalent
Answers
Answer:
The expressions are equivalent.
Step-by-step explanation:
Let's simplify each expression.
6(3x + 1) = 18x + 6
9x + 6 + 9x = 18x + 6
Both expressions are equal to 18x + 6, so they are equivalent.
Answer: The expressions are equivalent.
At a store, 2 notebooks cost $6. Each notebook costs the same amount of money.
Select all that apply.
The store charges $3 per notebook.
The store charges $15 for 5 notebooks.
The store charges $13 for 9 notebooks.
The store charges $4 for 12 notebooks. Which statements are true?
Answers
Answer:
First Option
Step-by-step explanation:
6 divided by 2 = 3 per notebook
Answer:
The store charges $3 per notebook.
The store charges $15 for 5 notebooks.
PhotoMath isn’t helping please help
Answers
Answer:
Here,
a = 15. (Base)
b = 7. (Exponents power)
c = 4 (It's fourth root as denominator)
Step-by-step explanation:
As the form is
\( {\sqrt[4]{15}}^{7} = {15}^{ \frac{7}{4} } \)
Answer:
a = 15, b = 7, c = 4
Step-by-step explanation:
Here's some facts that help with such tasks:
\((x^y)^z = x^{y\cdot z}\\\\\sqrt[y]{x} = x^{\frac{1}{y}}\\\\\sqrt[y]{x^z} = (x^z)^{\frac{1}{y}} = x^{\frac{z}{y}}\\\\\textrm{Using the last one we know:}\\\sqrt[4]{15^7} = 15^\frac{7}{4}\\\\\textrm{And bonus, not needed in this task:}\\x^y \cdot x^z = x^{y+z}\)
whats the answer to the question fast!!!
Answers
Answer:
The first one and the last one
Step-by-step explanation:
Simplify
7(-3/4x-3)
-21/4x-21
-5 1/4x-21
You will get the same answer if you just simply the last one.
If 18 plums weigh 54 ounces, then 6 plums weigh how many
ounces?
Answers
Answer:
18
Hope this helps :) Please mark this brainiest?
Step-by-step explanation:
18/6=3
54/3=18
Answer:
18 ounces
Step-by-step explanation:
I think this is right because if you take 18 and divide it by 3 it equals 6 so i divided 54 by 3 and got 18 ounces hope this helps
<3
What’s the mean of 46,57,66,63,49,52,61,68
Answers
Answer:
Step-byHow do I calculate the mean?
The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value
-step explanation:
46+57+66+63+49+52+61+68= 462/8 the total number of observation
the answer 57
the answer 57
helo please show work
Answers
Answer:
Step-by-step explanation:
Solution:
We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).
The GCF of 305 and 60 is 5.
Divide both terms by 5.
305 ÷ 5 = 61
60 ÷ 5 = 12
Therefore:
305 : 60 = 61 : 12
Iris is a working freelancer and has been tracking her monthly income for the last four months she found out that she made $2700 $4600 $3550 and $1700 when making her budget what income value should she use
Answers
Iris should use an income value of approximately $3,137.50 when making her budget.
When making her budget as a freelancer, Iris should use an income value that reflects her average earnings over the past four months. By calculating the average income, Iris can have a more stable and reliable estimate for her budget planning.
To determine the average income, Iris needs to add up the total income earned over the four months and divide it by the number of months. Summing up the income values, we get:
$2700 + $4600 + $3550 + $1700 = $12,550
Next, dividing the total income by four (the number of months), we find:
$12,550 / 4 = $3,137.50
Therefore, Iris should use an income value of approximately $3,137.50 when making her budget. This average value allows her to account for fluctuations in her monthly income and provides a more accurate representation of her earning potential.
It is important for Iris to consider her expenses and financial goals when budgeting. By using the average income, she can create a budget that balances her income and expenses, allowing her to allocate funds appropriately for various needs such as bills, savings, investments, and personal expenses.
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The probable question may be:
Iris is a working freelancer and has been tracking her monthly income for the last four months, which are $2700, $4600, $3550, and $1700. What income value should she use when making her budget?
A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answers
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
Find the slope of the line graphed below. Simplify fraction to lowest terms.
Answers
Answer:
1
_
2
Step-by-step explanation:
You should use rise over run or your slope formula.
M=y2-y1/x2-x1
The slope is ½
See whether you're understanding the subject and skills.
Answers
If you have any specific questions or need assistance, feel free to ask, and I'll do my best to provide a helpful response within the scope of my training
As an AI language model my understanding of subjects and skills is based on the information and data available to me up until my last training update in September 2021. I can provide accurate and comprehensive responses within the limits of my training, but please keep in mind that I may not have knowledge of events or developments that have occurred after that cutoff date.
With a wide range of general knowledge, I can understand and generate responses on various topics such as science, history, literature, mathematics, and more. I can also assist with specific skills like writing, editing, brainstorming ideas, offering explanations, and providing recommendations.
However, it's important to note that while I strive to be helpful, I am still an AI and may not always provide perfect answers. I do not possess personal experiences or opinions, and I am not able to perform physical actions. My responses are generated based on patterns and examples from my training data.
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.
If lines a and b are parallel, which of the statements is true?
Answers
Answer:
can i see the rest of it
Step-by-step explanation:
El largo de un terreno rectangular es 10 cm más que cuatro veces su
ancho. El perímetro es 70 cm. Halla las dimensiones.
Answers
multiplicativa, x=5 is Halla las dimensiones.
Describe the dimension formula with an example.The physical quantity is correctly described in terms of its fundamental unit according to the formulation of the dimensional formula. For instance, the formula for dimensional force is F=[MLT2]. It's because the unit of force is the Newton, or kg/s2.
Finding the required dimensiones:De acuerdo con las condiciones dadamultiplicativa s, plantear: 2x(10+x+4x) = 70 Aplicar la ley multiplicativa de distribución: 20+2+8x= 70
Reordenar los términos desconocidos al lado izquierdo de la ecuación: 2x+8x= 70-20
Combinar como términos: 10x = 70-20
Calcular la suma o diferencia: 10x = 50
Dividir ambos lados de la ecuación por el coeficiente de la variable: = 50 10
Calcular los dos primeros términos: a = 5
Therefore, Halla las dimensiones is x=5.
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25-40x = x - 10
solve this radical equation
the 25-40x is supposed to be in a square root
Answers
Rearrange the equation so uuu is the independent variable.
-12u+13=8w-3
Answers
Answer:
u = 8w-16 /-12 or = - 8w-16/12 both mean the same due to the a/-b- = -a/b rule. Then you can factor out the rest. note the fnew subtraction changes mean the same as - (a/b) and should show without brackets as a centre pointing whole fraction subtraction sign.
Step-by-step explanation:
-12u -13 = 8w-3
-12u+13 -13 = 8w-3-13 Eliminate -13 by +13 both sides
-12u = 8w-16 So you are left with one value left side.
-12u/-12 = 8/-12 - 16/-12 Then divide all values by -12 to find value for u and keep the subtraction as 8 never had subtraction sign and no multiplication .
u = 8w-16 /-12 Then you can factor out the rest
This has made u the independent variable then you have a choice to continue showing or ignore u; as u =
= - 8(w-2)/12 Step 1 Factor with subtraction change from -12 to - central fraction
= - 2(w-2)/3 Step 2 Simplify with new minus sign for central fraction to replace a/-b
Answer:
The answer is W = -3/2u + 2
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
