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The (interior) angles of a triangle always add up to 180 degrees. To find the exterior angles of a triangle, subtract the interior triangle from 360 degrees.
The total degrees of any polygon is (n-2)×180 (n is the number of angles). 3-2 is 1 and 1 times 180 is 180. Therefore, the angles of a triangle always add up to 180 degrees.
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Three fair, standard six-sided dice are rolled. What is the probability that the sum of the numbers on the top faces is 18? Express your answer as a common fraction.
Explanation:
There is only one way to get a sum of 18 and that is rolling three '6's to get 6+6+6 = 18.
There are 6*6*6 = 216 different ways to roll three dice.
Divide the two values to get 1/216
Given: g (x) = StartFraction 1 Over x + 2 EndFraction and h (x) = 3 x Check all restrictions on the domain of g circle h. x not-equals 0 x not-equals negative 2 x not-equals negative two-thirds There are no restrictions.
Answer:2/3 is the same
Step-by-step explanation:
Find the value of x
Pls help me :(
Answer:
i think is 10
Step-by-step explanation:
.............e
If 1 inch on a map represents y miles, how many miles are represented by x feet on the same map?
Answer:
1 inch represents 1 mile
66330 inches represent 1 mile
Convert to feet = 5280 feet for every mile
So if the map shows y = 1 1/4 then this means 1 1/4 miles
which would make the decimal of y = 1.25
which makes x = 5280 x 1.25 = 6600
We can just convert to decimalization the ' length of y in inches' and multiply by 5280 to find our answer.
= y * x = (1 .) + additional) * 1 * 5280
Not forgetting the above decimal if under 2 inches.
Or in any measure including if over 2 inches we can use
= measure of y * 5280 = ( ) answer
If [tex]1[/tex] inch on a map represents [tex]y[/tex] miles, then the miles represented by [tex]x[/tex] feet on the same map will be [tex]12[/tex] miles.
What is map ?A map is a visual representation of an entire area or a part of an area, typically represented on a flat surface.
What is mile?Mile is a measure of length, in one mile there 1.6 kilometers.
We have,
[tex]1[/tex] inch [tex]=y[/tex] miles
Then,
[tex]x[/tex] feet will represent miles on map will be as
We know that,
[tex]1[/tex] feet [tex]=12[/tex] inch
So,
According to question,
Miles represented by [tex]x[/tex] feet [tex]=12y[/tex] miles
Because according to the above given statement we came to know that in [tex]1[/tex] feet there are [tex]12[/tex] inches.
Hence, we can say that if [tex]1[/tex] inch on a map represents [tex]y[/tex] miles, then the miles represented by [tex]x[/tex] feet on the same map will be [tex]12[/tex] miles.
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what’s the answer choice?
Answer:
C. -1/2, 2, √5, √16, 4,05
Step-by-step explanation:
When ordering numbers from least to greatest first comes negative values then we compare all positive expressions
2 is smaller than √5 because it's approximately 2.2 and then comes √16 because it's equal to 4 and finally comes 4.05
please help like nobody has helped me on my other questions and i dont wanna fail this test
Answer: d=70; f=45; e=65
Step-by-step explanation:
NUMBER 1 WAY
110+d=180
d=70
135+f=180
f=45
d+f+e=180
70+45+e=180
e=65
--------------------------------------------------
NUMBER 2 WAY
concept to know: exterior angle theorem
------------------------------
System of equation
d+e=135
f+e=110
d+e+f=180
------------------------
d=135-e
f=110-e
-------------------------
d+e+f=180
(135-e)+e+(110-e)=180
135-e+e+110-e=180
245-e=180
e=65
-----------------------
d=70
e=65
f=45
M is between N and O . MO = 15, and MN = 76. Find NO
Answer:
91Step-by-step explanation:
N___________________M_______O
76 15
NO = MN + MO = 76 + 15 = 91
Kendrick is using a compass and straightedge to copy angle M the figure shows the portion of the construction that he has already completed where should Kendrick place the center of the compass to do the next step of the construction
Answer:
The next step of the construction is;
Place the compass at point N and adjust the width to the point where the arc crosses the other side leg of the angle
Step-by-step explanation:
The steps to copy an angle are;
1) Mark the point C of the vertex of the new angle
2) Draw a ray from C in the desired direction
3) With the compass placed at M of the original angle, draw an arc that crosses both sides of the original angle. Mark the crossing points N and O
4) With the same compass width from the arc drawn in the above step, draw a similar arc that crosses the ray from C at point D
5) Place the compass at point N and adjust the width to point O, the point where the arc crosses the other side of the angle
6) While the adjusted compass width is held to remain the same, place the compass at point D and draw an arc to cross the previous arc drawn from C and label the intersection point E
7) With the straight edge, draw a ray FC that passes through E to point C to complete the copied angle.
3 less than g is greater than or equal to 17
Answer:
Step-by-step explanation:
g - 3 >= 17
g >= 20
The inequality for the given statement 3 less than g is greater than or equal to 17 can be represented as g - 3 ≥ 17.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
The given statement is,
3 less than g is greater than or equal to 17.
To write inequality for the Statement,
Let g is variable,
3 less than g = g - 3
g -3 is greater than or equal to 17,
Implies that,
g - 3 ≥ 17.
The required inequality is g - 3 ≥ 17.
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If sets A and B have the same number of terms, is the standard deviation of set A greater than the standard deviation of set B? 1.The range of set A is greater than the range of set B. 2. Sets A and B are both evenly spaced sets.
Step-by-step explanation:
(1) The range of set A is greater than the range of set B.
This statement gives only the range which means only outermost values but what about the other values. For example-11,0,0,0,11 and -10,-10,0,10,10
Clearly, Former one has higher range but lower standard deviation.
(2) Sets A and B are both evenly spaced sets.
Evenly spaced is fine. However, we don't know the spacing since that is required to know the deviation.
For, example, sets A{2,4,6,8,10} and B {1,2,3,4,5} so in this case SD of A> SD of B. Or, we can have B{2,4,6,8,10} and A{1,2,3,4,5} so in this case SD of B> SD of A.
find the distance points (7,-2) (3,1)
Answer:
5
or
square root of 25
Step-by-step explanation:
I used my ti-84 plus ce calculator to solve
>download DISTMID
>prgm
>DISTMID
>DISTENCE
>enter points
>answer
simplify (-2)(-3)+(4)(-8)
Step-by-step explanation:
[tex]( - 2)( - 3) + (4 )( - 8) \\ - 2 \times - 3 + 4 \times - 8 \\ 6 + ( - 64) \\ 6 - 64 \\ - 58[/tex]
A group of 4 friends likes to golf together, and each friend keeps track of her all-time lowest score in a single round. Their low scores are all between 90 and 100, except for Angie, whose low score is 80. Angie then golfs a great round and has a new low score of 75. How will decreasing Angie's low score affect the mean and median?
Answer: Mean get decreased and median remains same.
Step-by-step explanation:
Given: The low scores of all 4 friends are all between 90 and 100, except for Angie, whose low score is 80.
i.e. Angie is an outlier.
[An outlier is an extreme value which lies far from the other data values.]
Angie then golfs a great round and has a new low score of 75.
i.e. more lower value.
Since Mean gets effected by an outlier but median remains same.
Here, value of new outlier(75) is less than the previous one (80), so mean score will get decreased, where as median (middle most value in ordered data) remains the same.
change 25/6 to mixed fraction
Answer:
[tex]4\frac{1}{6}[/tex]
Step-by-step explanation:
To find this, first, we need to ask ourselves, "how many times does 6 go into 25?" The answer is 4 because 6 * 4 = 24 with 1 left over. Therefore, we know that the whole number is 4 and the fraction is 1/6, so the answer is [tex]4\frac{1}{6}[/tex].
Answer:
4\frac{1}{6}
;-)
Step-by-step explanation:
plz crown 'o'
What List of 7 numbers that round to 300?
Answer:
The numbers 250-259 can be rounded to 300. Also 301-349 can be rounded down to 300. This works if you are rounding by the nearest hundreds place.
Convert the following decimal to a fraction. Be sure to simplify your fraction 0.378
Answer:
189/500
Step-by-step explanation:
[tex]0.378\\\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}\\\\\mathrm{There\:are\:}3\\\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\\\:therefore\:multiply\:and\:divide\:by\:1000}\\\\=\frac{0.378\timess \:1000}{1000}\\\\=\frac{378}{1000}\\\\\frac{378}{1000}:\quad \frac{189}{500}[/tex]
It cost 13.50 to take a girl out for the evening. Sixty percent of this was for the theater tickets.what was the cost for each ticket
Answer:
Each ticket cost 4.05
Step-by-step explanation:
Start by finding what is 60% of 13.50 = 0.6 * 13.50 = 8.10
since this is what both tickets cost, then one ticket for the theater was half of this value, that is: 8.10 / 2 = 4.05
-0.38 repeating written as a fraction is _____. -7/18 2/5 -15/36
Answer:
-7/18
Step-by-step explanation:
You know that 8/9 = 0.888.... repeating, so this value is effectively ...
[tex]-0.3\overline{8}=-\left(\dfrac{3}{10}+\dfrac{8}{90}\right)=-\dfrac{3(90)+10(8)}{(10)(90)}=-\dfrac{350}{900}=\boxed{-\dfrac{7}{18}}[/tex]
__
Of course, you can use your calculator to determine which answer choice has the given decimal equivalent.
Which number is closest to √18
Answer:
4.2 or 4
Step-by-step explanation:
√18 = 4.24264068712
or 4.2
or 4
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Which best describes the dimensions of a line?
Vx
O Aline has zero dimensions because it represents a location on the coordinate plane.
O Aline has one dimension because it is made up of all points that extend infinitely in either direction.
O Aline has two dimensions because it is made up of three noncollinear points.
O Aline has multiple dimensions depending on how many labeled points it contains.
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Answer:
B
Step-by-step explanation:
A 5 gram ball has a volume of 2.5 milliliters. What is the density of the ball?
Answer:
2gramm/millimeters
Step-by-step explanation:
From the question we were given 5
gram ball with a volume of 2.5 milliliters.
Then What is the density of the ball?
Density of a substance is the mass of the substance per it's unit volume
It can be expressed below as
Density= mass/ volume
Mass= 5gram
Volume= 2.5millimetre
Then substitute we have
Density=5/2.5
=2g/mm
Therefore, density of the ball is 2gramm/millimeters
A researcher received 9 shipments of 3.49 x 1010 cells to go along with the 1.2 x 109 cells she had already received. How many total cells has she received? A. 4.57 x 1010 B. 3.129 x 1011 C. 3.153 x 1011 D. 3.29 x 1011
Answer:7.84 X 10-3 m2
Step-by-step explanation:
A researcher received 9 shipments of 3.49 x 1010 cells to go along with the 1.2 x 109 cells she had already received. How many total cells has she received? A. 4.57 x 1010 B. 3.129 x 1011 C. 3.153 x 1011 D. 3.29 x 1011
4.57 x 1010 B. 3.129 x 1011 C. 3.153 x 1011 D. 3.29 x 1011
=7.84 X 10-3 m2
Which of the following statements is not true concerning the equation x^2 - c = 0 for c > 0 A. A quadratic system in this form can always be solved by factoring. B. This equation is not considered to be a quadratic equation because it is not in the form ax^2 + bx + c = 0 C. The left-hand side of this equation is called a difference of two squares D. A quadratic equation in this form can always be solved using the square root property.
Answer:
[tex]\Large \boxed{\mathrm{Option \ B}}[/tex]
Step-by-step explanation:
The equation is in the form ax² + bx + c = 0.
x² - c = 0
1x² + 0x + -c = 0
Where : a = 1, b = 0, and c = -c
c > 0
The quadratic equation can always be factored if c is a square number
c can be a square number and the quadratic equation can be solved by using the difference of two squares formula.
x is squared so it can be solved by isolating x on one side by adding c to both sides and using the square root property.
Answer:
[tex]\huge\boxed{Option \ B}[/tex]
Step-by-step explanation:
[tex]x^2 - c = 0[/tex]
This equation is in a quadratic form since:
=> It has the highest power of x as 2. Those equations are quadratic equations in which the highest power of x is 2.
=> However, Those quadratic equation in which b = 0 , and they are like either [tex]ax^2 + c = 0 \ OR \ ax^2-c = 0[/tex], They are called pure quadratic equation.
So, [tex]x^2 - c = 0[/tex] is a quadratic equation.
Point C'(-4,-3)C
′
(−4,−3)C, prime, left parenthesis, minus, 4, comma, minus, 3, right parenthesis is the image of C(-2,-3)C(−2,−3)C, left parenthesis, minus, 2, comma, minus, 3, right parenthesis under a translation
Answer:
The slope of the line through the points is -5/7
Step-by-step explanation:
Here, we want to calculate the value of the slope through the lines
Mathematically;
m = y2-y1/(x2-x1)
Where (x1,y1) = (-4,2)
and (x2,y2) = (3,-3)
Substituting these values, we have;
m = (-3-2)/(3-(-4)) = -5/7 = -5/7
Answer:
2 units to the LEFT
Step-by-step explanation:
i used khan
PLZ HELP ME I.NEED.HELP ASP
Question 10
If QR=21 and PR=88, find PQ.
Answer:
67
Step-by-step explanation:
Hello!
To find PQ we subtract the length of the whole line by QR
88 - 21 = 67
The answer is 67
Hope this helps!
NEED HELP ASAP algebra 2
Answer:
[tex]8\sqrt{2}[/tex]
Step-by-step explanation:
Step 1: Use Pythagorean Theorem to find the length of the hypotenuse
[tex]a^{2}+b^{2} =c^{2}[/tex]
[tex]9^{2}+7^{2} =c^{2}[/tex]
[tex]81+47 =c^{2}[/tex]
[tex]128 =c^{2}[/tex]
[tex]\sqrt{c^{2} } =\sqrt{128}[/tex]
[tex]c=\sqrt{128}[/tex][tex]\sqrt{128} =8\sqrt{2}[/tex]
Therefore the third side is [tex]8\sqrt{2}[/tex]
What’s the Y-intercept of the parabola with the equation y= x^2 - 4x-10?
Answer:
-10
Step-by-step explanation:
Plug in 0 to the equation ('cause y-intercept is found when "x" =0), and u get -10.
The constant is typically the y-intercept.
Which number is greater -4 or 8
Answer:
8
Step-by-step explanation:
think about this: which number has the bigger distance from 0 on a number line.
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8
You can see the distance between -4 and 8. Because 8 is eight spaces away from zero, and -4 is 4 spaces away from zero, we can see that 8 is bigger
The 8 is greater than -4. The difference between the two numbers is 12, and 8 is a positive number, while -4 is a negative number, solidifying that 8 is the larger value.
To compare the numbers -4 and 8, we can use the number line or basic numerical comparison. On the number line, -4 is to the left of 8, indicating that 8 is greater. Additionally, we can verify this by subtracting -4 from 8, which gives us 12 (8 - (-4) = 12). Since 12 is positive, 8 is indeed greater than -4.
In numerical comparison, when a positive number is compared to a negative number, the positive number is always greater. This is because negative numbers are "less than" zero, and positive numbers are "greater than" zero.
In conclusion, 8 is greater than -4. The difference between the two numbers is 12, and 8 is a positive number, while -4 is a negative number, solidifying that 8 is the larger value.
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PLEASE HELP!
Find the value of z. A. 40 B. 80 C. 56 D. 62
Answer:
A
Step-by-step explanation:
The secant- tangent angle 50° is half the difference of the measures of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex](210 - x) = 50 ( multiply both sides by 2 )
210 - x = 100 ( subtract 210 from both sides )
- x = - 110 ( multiply both sides by - 1 )
x = 110°
The sum of the 3 arcs on the circle = 360°
210 + x + z = 360
210 + 110 + z = 360
320 + z = 360 ( subtract 320 from both sides )
z = 40°
8 plus 3 cubed over 12-7
Answer:
7
Step-by-step explanation:
8+3³/12-7
8+27/5
35/5
7