Two lines intersect, and you know the measure of one angle. How can you determine the measures of the other three angles
Answer:
Opposite angles are the same measure.
Angles around a point = 360°
When you add all the angles, you get 360.
Angle a and b would measure the same and so would angle d and c. So you double the measure for one of those angles and subtract it from 360.
Then, you half that value( divide by 2) and this is to find the measure of the other angle
Consider the sequence of steps to solve the equation: 3(x - 4) + 5x 9x - 36
Given => 3(x-4)+ 5x 9x - 36
Step 1 = 3x - 12 + 5x-9x - 36
Step 2 -> 3x + 5x - 12-9x - 36
Step 3 8x - 12 - 9x - 36
Step 48x - 8x - 12 - 9x - 8x - 36
Step 5 => 0 - 12 - x - 36
Step 6-12 - 36
Step 7-12 + 36 x - 36 + 36
Step 8 = 24 x +0
Step 9 = 24 - x
Which property yields Step 1?
3)
A)
Distributive Property
B)
Multiplicative Identity
Multiplication Property of Equality
Answer:
Distributive Property
Step-by-step explanation:
You are distributing 3 to x and -4
20. Solve for x.
25
12
20
Answer:
x = 9.6
Step-by-step explanation:
25x = 12 x 20
25x = 240
x = 9.6
The space club is printing posters for an upcoming competition. The
printer charges $200 plus $2 for every poster. How many posters can be
printed for $950?
Answer:
375 posters can be printed for $950
Step-by-step explanation:
First, create an equation. X = number of posters: 200+2x=950
Second, subtract 200 from both sides to get an equation of: 2x=750
Third, divide 2 on both sides to get: x = 375
The weights of 11 swimmers in the team were recorded by the coach and the average
weight was 86 pounds. Three swimmers whose weights were 88 pounds, 79 pounds,
and 83 pounds left the team. What was the new average?
Answer:
87
Step-by-step explanation:
87 x 11= 946
946-88-79-83=696
696/8 = 87
What is an equation of the line that passes through the point(-1,-3) and is perpendicularly to the line x-2y=14
Answer:
the equation will be
Step-by-step explanation:
2x+y+5=0
Answer:
2x + y + 5 = 0
Step-by-step explanation:
The equation of line is x-2y = 14 and we need to find the equⁿ of line which passes through (-1,-3) and is perpendicular to given line.
Find the slope of given line by converting it into slope intercept form.=> x - 2y = 14
=> 2y = x - 14
=> y = x-14/2
=> y = x/2 - 7
Comparing to y = mx + c ,=> Slope (m) = 1/2 .
Now the slope of line perpendicular to it , will have a slope ,
=>[tex] m_{perp}[/tex] = -1/m
=>[tex] m_{perp}[/tex] = -1/½
=> [tex] m_{perp}[/tex] = -2
Using point slope form ,=> m = (y - y₁) / ( x - x₁)
=> -2 = { y - (-3) } / { x - (-1) }
=> -2 = y + 3/x + 1
=> -2(x + 1) = y + 3
=> -2x -2 = y + 3
=> y + 2x +3+2 = 0
=> 2x + y + 5 = 0
Hence the equation of line perpendicular to it is 2x + y + 5 = 0 .Which expression has the greatest value?
Answer:
=8⁴√³
8⁴=2¹²
12÷3=4
2⁴=16
16=16²√
=64²√³
64=4³
6÷3=2
4²=16
=16³√
16=4²
6÷2=3
4³=64
so the answer is 16^3/2
69 to the power of 2
Answer:
4761
Step-by-step explanation:
69 times 69 since it is to the power of 2.
Answer:
4761
Step-by-step explanation:
[tex]69 *69=4761[/tex]
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VERY URGENT PLEASE HELP!!!!
Kaitlin's penny bank is 1/2 full. After she adds 120 pennies, it is 2/3 full. How many pennies can Kaitlin's bank hold?
Answer:
720 I think not sure if im right
Answer: 720 pennies
Step-by-step explanation:
1/2 = 3/6 and 2/3 = 4/6
So the 120 pennies she added was 1/6 of the total size
6 x 120 = 720
What is the m angle3 ?
The measure of m<3 is 105 degrees
Using the law that states that the sum of an interior angle of a rectangle is equal to the exterior.
From the given diagram;
m<X + m<Y = m<3
Given that m<X= 55 degrees and m<Y = 50 degrees
m<3 = 55 + 50
m<3 = 105 degrees
Hence the measure of m<3 is 105 degrees
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What is 3/4-5/8?
? Give your answer in its simplest form.
Answer:
1 over 8
1
8
=0.125
Step-by-step explanation:
Find the area of the parallelogram shown below 5 3
Answer:
15 square units
Step-by-step explanation:
If you were to cut off the bottom triangle (separated by the dotted line), and put it on top of the other triangle, you would get a rectangle.
All you have to do is length x height
5 x 3 = 15
Can someone help me please?
Answer:
28pi, 10pi
Step-by-step explanation:
So, lets go over a few things.
What is circumference?
Circumference is the permiteter of a circle.
The formula for it is 2*r*pi.
Now, lets go over what radius and diamater is.
Diamater is the distance between the two opposite sides of the circle.
The radius is half of the diamater, and is the distance between one side of the circle and the middle.
Problem #1:
The distance from the middle to the side of the circle is 14.
This will be the radius, not the diamater.
Lets plug this into the formula:
2*14*pi
=
28*pi
=
28pi
This is your answer.
Problem #2
The distance from the two opposite sides of the circle is 10.
So the radius will be half of this, being 5.
Now lets plug this in:
2*5*pi
=
10*pi
=
10pi
This is your answer.
Hope this helps!
Round to the nearest whole dollar: $9.49
Answer: $9
Step-by-step explanation: Rounding $9.49 to the nearest dollar consider the tenths’ value of $9.49. Which is 4 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of $9.49, $9, remains $9, and the decimal point and all digits (.49) are removed.
In the first region are located 6 Rattatta Pokemon hidden in the grass at any given time and 8 Pidgey Pokemon. What would be the probability of running a Rattatta Pokemon?
Which expression is equivalent to 128?
Answer: 2^3 x 2^4
Step-by-step explanation:
The value of the exponential expression is A = 2³.2⁴ = 128
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the value of the exponential equation be A
Now , the first expression is p = 2³
The value of p = 8
Now , the second expression is q = 2⁴
The value of q = 16
From the laws of exponents , we get
p.q = 2³.2⁴ = 2³⁺⁴
The value of A = 2⁷ = 128
Hence , the exponential equation is 2⁷ = 128
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Tessellations
Determine whether the given figure tessellates the plane.
a. yes
b. no
Please select the best answer from the choices provided
Answer:
B. No
Step-by-step explanation:
I calculated it logically
Please help me fast!
Find the surface area of this cone. Show your work.
Answer:
The answer is 628 meters.
Step-by-step explanation:
The area for surface of a cone is pi times the radius (radius plus the square root of the height squared plus the radius squared).
Lol, i know this is really confusing, just look up surface area of a cone formula.
Height squared = 15 * 15 = 225
Radius squared = 8 * 8 = 64
225 + 64 = 289
The square root of 289 is 17
17 + 8 = 25
3.14 * 8 = 25.12
25.12 * 25 = 628 meters.
Could I get Brainliest please?!?!
Identify the terminal point for a 30° angle in a unit circle.
O A (1,
O R. (4,4)
O c. (9.12)
OD. (1,7)
SUBMIT
Answer:
The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).
Step-by-step explanation:
Please help!! Math
What is the missing value of the missing angle?
A. 43*
B. 133*
C. 90*
D. 47*
HELP CAN SOMEONE TELL ME THE ANSWER I CANT GET A BAD GRADE.
Answer:
34.1cm^2
Step-by-step explanation:
Area of triangle = 1/2 x base x height
=1/2 x6.2 x11
=34.1cm^2
The Sine Function
The phrases of the Moon are periodic and repetitive. A new Moon occurs when no Moon is visible to an observer on Earth. During the first quarter, half of the side of the Moon facing the Earth is visible. During a full Moon the entire side of the Moon is Visible. During the last quarter the other half of the side of the Moon facing Earth is visible.
The U.S. Naval Observatory lists the following dates for phases of the Moon in the year 2008.
Using the information above, plot the data points. Does this data indicate that a sine regression may be appropriate in this case? Explain.
a. Yes, it shows repeated and periodic behavior.
b. Yes, it shows a curve increasing from left to right.
c. No, the points are random.
d. No, the points depict a parabola.
Please select the best answer from the choices provided
Answer:
A. Yes, it show repeated and periodic behavior.
Step-by-step explanation:
I calculated it logically
A community organization wants to determine area support for the construction of a new skate park in the center of town. The organization decides to survey 500 people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park. What is the best way to randomly choose these 500 people? O Select the first 500 taxpayers listed at the town hall. O Survey the first 500 people who visit the existing skate park. O Assign each taxpayer in town a number and then randomly select 500 of these numbers. O Choose 100 taxpayers from 5 different age groups in town.
PLEASE HELP!!!!
Answer: I just took the test, and the answer is 'Assign each taxpayer in town a number and then randomly select 500 of these numbers.'
Step-by-step explanation: Happy Pride Month!!
HURRY!!!!!!!!!!!!!!!!!! A stack of cards contains 21 red cards and 17 black cards. what are the odds against drawing a red card? a.17:21 b. 21:17 c. 17:28 D.28: 17
Answer:
the answer should be ( b ) if I did this correctly
Drag the tiles to the correct boxes to complete the pairs.
Match the trigonometric functions that have the same value.
sin (pi/11)
sin (7pi/11)
sin (5pi/11)
sin (8pi/11)
Answer: in photo
Step-by-step explanation:
Photo
4. Paolo is filling a cylindrical water bottle. Unfortunately it is too big to fit in the sink he is filling up at so he has to use cone cups to fill up the bigger water bottle. The cone cups have a radius of 1 in, and a height of 3 in. how many cone cups would it take to fill the cylindrical water bottle?
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, we need to be given the dimensions of the big cylindrical water bottle. Let us assume, that the big bottles has a dimension of radius 3 in and height 5 in.
Solution:
Firstly, we need to find the volume of the big cylindrical bottle, then we find the volume of the small cone.
Volume of the cylindrical bottle = πr²h = π(3²)5 = 45π in³
Volume of the small cone = πr²h/3 = π(1²)(3/3) = π in³
Therefore the number if cups required to fill the water bottle is the ratio of the volume of the cylinder to the volume of the small cone. Hence:
number of cone cups = 45π in³ / π in³ = 45 cups
Hence 45 cups of the cone would be needed to fill the cylindrical bottle
Find the value of X and Y that make these triangles congruent by the HL theorem.
Answer:
x=5, y=6
Step-by-step explanation:
By the HL theorem, if the corresponding hypotenuses and one side of two triangles are equal, they are congruent.
So put the hypotenuses equal to each other, and put the side lengths equal to each other.
3x-2=2y+1
x=y-1
Sub 'y-1' into the first equation for x:
3(y-1)-2=2y+1
3y-3-2=2y+1
y=6
x=y-1=6-1=5
What is the step by step to get this answer I got
Answer:
x = -4, -2
Step-by-step explanation:
Given equation is,
x² + 6x + 8 = 0
Let the equation to be graphed is,
y = x² + 6x + 8
y = x² + 2(3x) + 9 - 1
y = x² + 2(3x) + 3² - 1
y = (x + 3)² - 1
Table for the Input-output values
x -6 -4 -3 -2 -1 0
y 8 0 -1 0 3 8
Now we can plot these points on the graph as attached.
Since, this graph is intersecting x-axis at x = -4, -2
Therefore, solutions of the given equation will be x = -4, -2
what is the volume of the prism 2m x 3m x 5m
Answer:
30 m³
Step-by-step explanation:
2 m x 3 m x 5 m= 30 m³
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