Answers
The measure of each angle in the diagram are 4y° = -82°, (6y - 41)° = 164°, (3x + 2)° = 98°, 2(x + 17)°= 98
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.
Two lines are intersecting each other at a point making two pairs of vertical angles.
The pair of vertical angles are equal in measure.
4y° = (6y + 41)° [Vertical angles]
4y - 6y = 41
2y = -41-----(1)
(3x + 2)° = 2(x + 17)° [Vertical angles]
(3x + 2)° = 2x + 34°
x = 32 ------(2)
Therefore, 4y° = -82°
(6y - 41)° = 164°
(3x + 2)° = 98°
2(x + 17)°= 98
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Related Questions
The ratio of side lengths for two similar cubes is 2/5.
Determine the ratios for each of the following.
the perimeter of one face of the smaller cube compared to the perimeter of one face of the larger cube
the total surface area of the smaller cube compared to the total surface area of the larger cube
the volume of the smaller cube compared to the volume of the larger cube
Answers
Explanation:
ratio of two cubes: 2 : 5
Perimeter of one face of cube: 4 × side
For small cube: 4 × 2 = 8
For big cube: 4 × 5 = 20
Ratio of perimeter of one face: 8 : 20 = 2 : 5
Total surface area of cube: 6a²
For small cube: 6(2)² = 24
For big cube: 6(5)² = 150
Ratio of total surface area: 24 : 150 = 4 : 25
Volume of cube: a³
For small cube: (2)³ = 8
For big cube: (5)³ = 125
Ratio of volume: 8 : 125
#1
Perimeter=4a
Find ratio
4(2)/4(5)8/202/52:5Samd
#2
TSA=6a²
6(2)²/6(5)²4/254:25#3
Volume=a³
2³/5³8/125Two lines intersect at a point, forming angle 1, angle 2, angle 3, and angle 4.
Angle 1 and angle 3 are vertical angles.
Angle 2 and angle 4 are vertical angles.
m angle1 = 70
What is the measure of angle 2?
O 20°
O 70°
O 90°
O 110°
Answers
PLEASE HELP !!!!!!
If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water, what is the volume of the water that was displaced (in cubic inches)?
Answers
The volume of the water that was displaced will be equal to 0.06 cubic feet.
How are the density, volume, and mass of a substance-related?Suppose that a finite amount of substance is there having its properties as:
mass of substance = m kg
density of substance = d kg/m³
volume of that substance = v m³
Then, they are related as:
[tex]d = \dfrac{m}{v}[/tex]
If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water, then the volume of the water that was displaced will be
We know that the density of the water is 62.4 pounds per cubic foot.
Then we get
3.7 = 62.4 × volume
Volume = 0.059
Volume ≅ 0.06 cubic-foot
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Step-by-step explanation:
' MLB
ML Ĺ
bryon yuuù 6553w2 wasmay what is this portion insulator used for
Enter the correct answer in the box.
The function f(x) = 2x − 1 is transformed to function g through a horizontal shift of 7 units left. What is the equation of function g?
Replace the values of h and k in the equation.
Answers
The equation of function g(x) = 2(x -7)² - 1, and the values of h and k are 7 and -1, respectively.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable.
The standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The function is given as:
f(x) = 2x² - 1
When the function is translated with 7 units left, the transformation rule is:
(x,y) -> (x + 7, y)
So,
g(x) = 2(x -7)² - 1
A quadratic function is expressed as:
g(x) = a(x -h)² + k
By comparison, the values of h and k are 7 and -1, respectively.
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Whát are the quotient and remainder of (x^5-x^3 +1-5) / (x - 2)?
a. x + 2x2 + 9x + 13; 21
x + 2x2 + 3x + 6x + 13; -21
b. x + 2x + 3x2 + 6x + 13; 12
d. + 2x2 + 3x2 + 6x + 13:21
Answers
Answer:
x⁴+2x³ +3x²+6x +12r is the answer
A placebo is a medically ineffectual treatment that looks like a real treatment. Sometimes patients given a placebo treatment, unaware of the fact that it is indeed a placebo, will have a perceived or actual improvement in their condition. This phenomenon is commonly called the placebo effect.
A group of doctors was interested in comparing the effectiveness of placebo pills (made of sugar) and real pills in treating migraines. They randomly assigned a group of 300 patients suffering from migraines into two groups. One group was given a real pill and the other was given a placebo. Both groups were told which kind of pill they got.
Before taking the pills, and a day afterwards, the patients were asked to fill out questionnaires regarding their condition. Then, the doctors analyzed the overall changes in questionnaires for each group and compared them.
What type of statistical study did the doctors use?
A. Sample Study
B. Experiment
C. Observational Study
Is the study appropriate for the statistical questions it's supposed to answer?
A. Yes, because the patients filled the same questionnaire before and after taking the pills.
B. No, because telling patients about the pills introduces bias.
C. Yes, because the patients were randomized between the two groups.
D. No, because we don’t know how effective the real pills are.
Answers
Experimental studies were the type of statistical study used by doctors in research on comparing placebo pills with real pills.
The study carried out is not appropriate for the statistical questions that must be answered, because telling patients about the pills introduces bias.
What is an experimental study?It is a method of scientific research in which there is the introduction of an intervention by the researchers, in which the resulting effects will be objects of study.
Therefore, in an experimental study there will be randomization of participants, who will be randomly grouped into a group to carry out the controlled trial.
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Answer: Experiment
No, because telling patients about the pills introduces bias
Sheila has $51 to buy graphing pads for her math class. Each pad costs $7.
How many pads can she buy?
Answers
Answer:
She can buy 7 pads because 7 x 7 = 49.
Answer:
7
Step-by-step explanation:
7×7=49 and you cant by a portion of a graphing pad sooo the answer is 7
miss rose teaches three ballet classes. her students' data are shown in the relative frequency table. which statement is true?
A. 20% of her students are in the intermediate class.
B. 25% of her students are in the beginner class.
C. 60% of her students are boys.
D. 15% of her students are girls.
Answers
7th grade math probability
Super easy
(Look at picture)
Answers
Answer:
3/6
I say that the probability is 3/6 because there are 3 spaces, and we are counting one spin. There are 6 spots total.
Answer:
maybe the answer is 3/5.
Do message me if the answer is wrong
For the function f(x) = x^1/3/3 find f^-1(x)
Answers
Answer:
To get f⁻¹(x), write f(x) = y = x^(1/3)/3, exchange x and y, so x = y^(1/3)/3, then y = (3x)³, this is just the f⁻¹(x) = (3x)³.
Step-by-step explanation:
A rectangular school yard is 96 meters wide and 178 meters long. What is its perimeter?
Answers
Answer: 69 square meters
Step-by-step explanation:
A boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour, what is the rate of the current ?
Answers
Answer:
4.5 mph or 9/2 mph
Step-by-step explanation:
Let x be the rate of the current
Formula: Distance = rate x time
where rate upstream =(12-x) and time =2 hours
15=(12-x)(2)
15=24–2x
2x=24–15
2x= 9
x=9/2=4.5 miles per hour (rate of current)
1 Square yard = what Square inches
Answers
Answer: 1296 square inches
Step-by-step explanation:
1 square yard is 36 times 36 square inches
36 times 36 is 1296 square inches
Can you guys help me please :(
Answers
Answer:
720 m²
Step-by-step explanation:
Area = base × height
= 12 × 6
= 72 mm²
≈ 720 m² (1 mm = 10 m)
. Bri replaced the window blinds on 42 of the 60 windows in the library. Which percent
is equivalent to
Answers
Answer:
70%
Step-by-step explanation:
42/60 x 100 = 70%
marking brainliest
please help!!!!
Answers
You have to find the height then use the height to find the x value
What is the area of this figure? Please help.
Answers
Answer:
Step-by-step explanation:
The residents of a city voted on whether to raise property taxes. The ratio of yes votes 5 to 8 no votes was
to
. If there were 7761
total votes, how many yes votes were there?
Answers
Answer:
2985 yes votes.
Explanation:
Yes : No
5x : 8x
Total Ratio: 5x + 8x = 13x
Solve for x
13(x) = 7761
divide both sides by 13
x = 597
Yes-Votes: 5(x) = 5(597) = 2985
No-Votes: 8(x) = 8(597) = 4776
Joshia starts with 100 In savings and saves 5 per week
Answers
Answer:
If you're asking for an equation to use for this problem you can use: 100+5x,
x is the number of weeks.
Step-by-step explanation:
You are starting with $100, and gain 5 dollars every week, so 100+5(#ofweeks)= total amount of money.
find the local maximum and minimum values using the Second Derivative Test.
Answers
Answer:
Find the first and second derivatives:
[tex]\begin{aligned}f(x) & =-x-\dfrac{9}{x}\\& =-x-9x^{-1}\\\\\implies f'(x) & =-1-(-1)9x^{(-1-1)}\\ & =-1+9x^{-2}\\ & = -1+\dfrac{9}{x^2}\\\\\implies f''(x) & = 0+(-2)9x^{(-2-1)}\\& = -18x^{-3}\\& = -\dfrac{18}{x^3}\end{aligned}[/tex]
To find the stationary points (local minimum and maximum) set the first derivative to zero and solve for x:
[tex]\begin{aligned}f'(x) & = 0 \\\\\implies -1+\dfrac{9}{x^2} & = 0 \\\\\dfrac{9}{x^2} & = 1 \\\\9 & =x^2\\\\\implies x & = \pm 3\end{aligned}[/tex]
To determine the type of stationary points, input the found values of x into the second derivative.
[tex]f''(3)=-\dfrac{18}{3^3}=-\dfrac{2}{3} < 0 \implies \textsf{maximum}[/tex]
[tex]f''(-3)=-\dfrac{18}{(-3)^3}=\dfrac{2}{3} > 0 \implies \textsf{minimum}[/tex]
Finally, to find the y-values of the stationary points, input the found values of x into the original function:
[tex]f(3)=-3-\dfrac{9}{3}=-6 \implies (3,-6)[/tex]
[tex]f(-3)=-(-3)-\dfrac{9}{-3}=6 \implies (-3,6)[/tex]
Therefore:
[tex]\large \begin{array}{ r | r | c | c }\textsf{At} \: x= & \textsf{and} \: y= & \textsf{sign of} \: f''(x) & \textsf{conclusion}\\ \cline{1-4} -3 & 6 & + & \textsf{minimum} \\ \cline{1-4} 3 & -6 & - & \textsf{maximum}\end{array}[/tex]
9. 144^14/144^2
A. 144^16
B. 144^12
C. 144^28
D. 144^14/2
Answers
The correct result of this expression is 144¹²
This question is related to the division of potentiation of equal basesPotentiation is a multiplication of equal factors. When dividing bases or equal numerator and denominator - just keep the bases and subtract the exponents.
= 144¹⁴ / 144²
= 144¹⁴‐²
= 144¹²
So, the correct answer will be 144¹²
Solve the inequality:
8+4≥12
Answers
Answer:
I think it would be x<5
Step-by-step explanation:
hope this helps if not let me know have a blessed day
Please help need to get it done in 10 minutes.Thank you
There are 12 inches in a foot.
Complete the table.
Inches: 12, ___, 60, 108
Feet: 1, 3, ___, ___
Answers
Answer:
Inches: 12, 36, 60, 108
Feet: 1, 3, 5, 9
Step-by-step explanation:
Inches: 12, 36, 60, 108
Feet: 1, 3, 5, 9
3*12 = 36
60/12 = 5
108/12 = 9
valuate if x = 2 and y = 6 4x + 5y
Answers
Answer:
38
Step-by-step explanation:
4(2)+5(6)
=8+30
The answer=38
If the temperature today is 3 more than twice what it was yesterday and the temperature today is 66, what was the temperature yesterday?
Using algebra to solve this problem, which of the following is one step that you will take?
Answers
Step-by-step explanation:
x is the temperature yesterday
Answer:
Step-by-step explanation:
The correct answer is
Write the equation 66=2y+3.
Question 1:
Your goal this year is to earn a B or better in Algebra class.
If you do, your parents said they would give you $200.
Write an inequality to represent the grades you can earn
and receive money from your parents for it. Then explain
the graph for the inequality. Hint: Remember you cannot
earn higher than a 100 in any class.
Answers
[tex]b \geqslant x \leqslant a[/tex]
if A=-3+5i, B=4-2i and C=1+6i, where i is imaginary unit, then A-BC equals to what?
Answers
Multiplication is the process of multiplying. The value of A-BC is equal to -19-17i.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The value of BC is,
BC = (4-2i)×(1+6i)
BC = 4 + 24i - 2i -12i²
BC = 4 + 22i - 12(-1)
BC = 4 + 22i +12
BC = 16 + 22i
Now, the value of A-BC will be equal to,
A-BC = (-3+5i)-(16+22i)
= -3+5i-16-22i
= -19 - 17i
Hence, the value of A-BC is equal to -19-17i.
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Slide the green dot Use the number line to plot the numbers. Then arrange
them in order from smallest 1 to largest 4
Answers
I don't see any green dot, sorry.
find all solutions
36x²+12x=0
Answers
Answer:
x = -1/3 or 0
Step-by-step explanation:
Given equation:
[tex]36x^{2} + 12x = 0[/tex]We can factor 12x on the L.H.S since 12x is divisible by 36x² and 12x.
[tex]\implies 36x^{2} + 12x = 0[/tex]
[tex]\implies 12x(3x + 1) = 0[/tex]
This can lead to two solutions. I have listed them below!
Solution 1:Divide 12x on both sides to open the parentheses.
[tex]\implies 12x(3x + 1) = 0[/tex]
[tex]\implies \dfrac{12x(3x + 1)}{12} = \dfrac{0}{12}[/tex]
Note: zero divided by any non-zero number is 0.
[tex]\implies \dfrac{12x(3x + 1)}{12} = \dfrac{0}{12}[/tex]
[tex]\implies 3x + 1 = 0[/tex]
Isolate 3x on one side of the equation.
[tex]\implies 3x + 1 = 0[/tex]
[tex]\implies 3x = 0 - 1[/tex]
[tex]\implies 3x = -1[/tex]
Divide 3 both sides to determine the value of x.
[tex]\implies 3x = -1[/tex]
[tex]\implies \dfrac{3x}{3} = \dfrac{-1}{3}[/tex]
[tex]\implies \boxed{x = \dfrac{-1}{3}}[/tex]
Solution 2:Divide (3x + 1) on both sides to isolate 12x.
[tex]\implies 12x(3x + 1) = 0[/tex]
[tex]\implies \dfrac{12x(3x + 1)}{(3x + 1)} = \dfrac{0}{(3x + 1)}[/tex]
Note: zero divided by any non-zero number is 0.
[tex]\implies \dfrac{12x(3x + 1)}{(3x + 1)} = \dfrac{0}{(3x + 1)}[/tex]
[tex]\implies 12x = 0[/tex]
Divide 12 both sides to determine the value of x.
[tex]\implies 12x = 0[/tex]
[tex]\implies \dfrac{12x}{12} = \dfrac{0}{12}[/tex]
[tex]\implies \boxed{x = 0}[/tex]
Therefore, the solutions for x are -1/3 or 0.
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Answer:
x = 0 or x = -1/3
Step-by-step explanation:
In the equation 36x²+12x=0 we have :
36x² = 6x × (6x)
12x = 2 × (6x)
This means that 6x is a common factor,so let’s factor :
36x²+12x=0
⇔ 6x × (6x) + 2 × (6x) = 0
⇔ 6x × (6x + 2) = 0
⇔ 6x = 0 or 6x + 2 = 0
⇔ x = 0 or x = -2/6
In order to predict future housing needs the population of two towns, Appletown and Callwood, have been monitored and plotted on a graph for the past four years. The results are shown on the graph above. If both towns continue to grow at their current rates, which town will have the largest population at year 10 of the study? A
Answers
If both towns, Appletown and Callwood, continue to grow at their current rates, Callwood will have the larger population at year 10 because it is increasing exponentially.
What is exponential growth?Exponential growth occurs when the pattern of increase is higher with the passage of time.
The formula for the exponential increase is as follows:
f(x)=a(1+r)^{x}
Where:
f(x) = exponential growth function
a = initial number or amount
r = growth rate
{x} = number of time intervals
Thus, if both towns, Appletown and Callwood, continue to grow at their current rates, Callwood will have the larger population at year 10 because it is increasing exponentially.
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