Answer:
x=34
Step-by-step explanation:
The angles are corresponding angles so they are equal if m is parallel to n
x+27 = 2x -7
Subtract x from each side
x+27 -x =2x-x-7
27 = x-7
Add 7 to each side
27+7 = x-7+7
34 =x
Find the distance between each pair points
Hey there! Can someone tell me the answer please? Will give brainliest.
Answer:
24 edges, 24 vertices, 8 faces - For that weird Cylender thing.
Step-by-step explanation:
There are six faces on sides (and two on both tops, these don´t have vertices or edges of their own), 4 edges on each one, 4 vertices on each one.
Answer:
There are 6 faces
One up one down one front one backs one right one left
12 edges and 8 ventricles
In a specific arithmetic sequence, if -4 is the first term and 10 is the third term, which term is 157?
Step-by-step explanation:
everything can be found in the picture
The nth term of an arithmetic sequence is expressed as Tn = a +(n - 1)d. The 157th term of the sequence is 2180
Arithmetic sequenceThe nth term of an arithmetic sequence is expressed as:
Tn = a +(n - 1)d
where
a is the first termd is the common differencen is the number of termsIf -4 is the first term and 10 is the third term, then;
a = -4
a + d = 10
d = 10 - (-4)
d = 14
Determine the 157th term
T157 = -4 + (157 - 1)(14)
T157 = -4 + (156*14)
T157 = 2180
Hence the 157th term of the sequence is 2180
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6. What is the 10th term of the geometric sequence -20, -10,-5, ... ?
Answer:
-0.0390625
Step-by-step explanation:
each is cut in half
so we do this
20, 10, 5, 2.5, 1.25, .625, .3125, .15625, 0.078125, 0.0390625
Q. Find the missing side
Answer:
What missing side? You're missing a picture.
(-3) x (+5)
What’s the answer to that? Someone help me please
Answer:
[tex] - 15[/tex]
Step-by-step explanation:
We know that,
[tex]( - ) \times ( + ) = (- )[/tex]
So,
[tex] (- 3) \times ( + 5) = - 15[/tex]
hope this helps you.
Have a nice day!
Answer:
-15
Step-by-step explanation:
(-3)*(+5) = -15
which shape has 74 sides
Answer:
Heptacontakaitetragon
I'm not sure though 'cause it ain't a shape, but that's the term for a shape that has 74 sides.
PLS HELP!! WILL GIVE BRAINLIEST!!
Answer:
Step-by-step explanation:
take lcm of (2x-1)(x+2)
lcm=(2x-1)(x+2)
=2(x+2)-1(2x-1)/(2x-1)(x+2)
=(2x+4)-(2x-1)/(2x(x+2)-1(x+2)
=2x+4-2x+1/2x^2+4x-x+2
=4+1/2x^2+3x+3
=5/2x^2+3x+3
If two angles are both vertical and supplementary, can we determine the angles? Is it possible to be both vertical and complementary? If so, can you determine the angles? Explain how you know ASAP
Answer:
Two angles can be vertical and supplementary only if they add up to 90 degrees because there perpendicular.
Step-by-step explanation:
Answer:
90 + 90 = 180, 45 + 45 = 90
Step-by-step explanation:
Supplementary angles add up to 180 and to be vertical angles they need to be equal to each other so 2x = 180
x = 90
Hence both angles will be equal to 90
Complementary angles add up to 90 and as previously stated, to be vertical angles they need to be equal to each other so 2x = 90
x = 45
Hence both angles equal to 45
Hope this helped!
In the United States, only Hawaii has a tropical wet climate. In some parts of Hawaii, rainfall is very heavy- over 400 inches per year on the windward side of the Hawaiian island of Kauai. The table shows the monthly rainfall for one year at a reporting station in Hawaii.
Answer:
Mean = 14.33333333
Median = 11
Mode= 9 and 11
Range = 42
Step-by-step explanation:
To find the mean, add all the numbers
(5+1+15+43+9+9+11+11+14+12+36+6) = 172
Divide by the number of numbers
172/12 = 14.33333333
Median is the middle number when listed from smallest to largest
1,5,6,9,9,11,11,12,14,15,36,43
Split into 2 even groups
1,5,6,9,9,11, 11,12,14,15,36,43
The middle is between 11 and 11
(11+11)/2 = 11
Mode is the number that appears mode often
This has 2 modes, 9 and 11
Range is largest number minus smallest number
43-1 = 42
Find the value of x. please help
Answer:
x= 15
Step-by-step explanation:
Since this is an isosceles triangle, the other angle is also 5x-6
The sum of the angles of a triangle is 180
42+ 5x-6 + 5x-6 = 180
Combine like terms
10x+30 =180
Subtract 30 from each side
10x+30-30 = 180-30
10x = 150
Divide by 10
10x/10 = 150/10
x= 15
Need answer asapppp I have 10 min only!!!
Describe the behavior of the function h around its vertical asymptote at x=-6.
Answer:
B
Step-by-step explanation:
One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .
When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.
Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B
Given that f(x) = 9 − x and g(x) = x^2
Calculate
a) f(3)
b) g(−4)
Answer:
a) f(3) =6
b) g(-4) =16
Step-by-step explanation:
answer to a, substitute X with 3. which will be f(3)=9-3
=6
answer to b, substitute X with -4, which will be g(-4)=(-4)^2
=16
Let’s say you don’t invest at all, and just put $6000 under your mattress every year. How much money will you have in 40 years?
how many solutions -(3 - 6b) = 6b + 5
Answer:
There are no solutions
Steps :
First we expand it
[tex]-3+6b=6b+5[/tex]
Then we add 3 to both sides
[tex]-3+6b+3=6b+5+3[/tex]
Then we simplify
[tex]6b=6b+8[/tex]
Then we subtract 6b from both sides
[tex]6b-6b=6b+8-6b[/tex]
Simplify
[tex]0=8[/tex]
No solutions !
Question 15 of 25 Given any triangle ABC with corresponding side lengths a, b, and c, the law of cosines states: 6. C A O A. b^2=a^2 +c^2 - 2 ac cos(B) so O B. b^2= a^2 +c^2 - 2bccos(A) O C. b2 = a^2 -c^2 -25ccos(5) OD. b^2=a^2 -c^2 -2bccos(C)
The correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.
What is the law of cosine?Let there is triangle ABC such that |AB| = a unit, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]
(c is the opposite side to angle A)
We have been Given any triangle ABC with corresponding side lengths a, b, and c.
In the given triangle ABC, the sides are;
BC = a, AB = b and AC = c
Now we know as per the law of cosines for all three sides of the triangle;
c² = a² + b² - 2ab cosC
a² = b² + c² - 2bc cosA
b² = a² + c² - 2ac cosC
Therefore the correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.
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Emil is cutting a 72-inch-long board and a 54 in long board into shelving. He wants to make as many shelves as he can while using up all the wood. What is the longest possible length of the shelves?
Answer: The longest possible length of the shelves = 18 inches
Step-by-step explanation:
Given: Lengths of two boards are 72-inches and 54 inches.
To make as many shelves as he can while using up all the wood we will find the longest possible length of the shelves = HCF ( 72, 54)
72 = 2 x 2 x 2 x 3 x 3
54 = 2 x 3 x 3 x 3
HCF(72,54) = 2 x 3 x 3 = 18
Hence, the longest possible length of the shelves = 18 inches
Divide -5/6 divided by -10 very urgent
Answer:
[tex]-\frac{1}{12}[/tex]
Step-by-step explanation:
Reduce the expression, if possible, by canceling the common factors.
Answer:
-
Step-by-step explanation:
-5/6÷-10
-5/6*1/-10
-5/-60
1/12
For a certain arithmetic sequence, [tex]a_{3} =14, a_{10}=98[/tex]. Write the first three terms of the sequence.
I'll mark you as brainliest *only if you answer*. Thanks <3
Answer:
An arithmetic sequence is defined by:
[tex]a_n = a_{n-1} + d[/tex]
Here, we know that:
[tex]a_3 = 14\\a_{10} = 98[/tex]
Using the recursive relation, we can write:
[tex]a_{10} = 98 = a_9 + d[/tex]
And can keep applying the recursive relation, so we will have:
[tex]98 = a_9 + d = (a_8 + d) + d = a_8 + 2*d[/tex]
And so on, until we get to a known term:
[tex]98 = a_8 + 2*d = a_7 + 3*d = a_6 + 4*d = a_5 + 5*d = a_4 + 6*d = a_3 + 7*d[/tex]
[tex]98 = a_3 + 7*d = 14 + 7*d[/tex]
Then we can solve:
98 = 14 + 7*d
for d:
98 - 14 = 7*d
84 = 7*d
84/7 = d = 12
Now we know the value of d, we can keep using the recursive relation to find the first 3 terms:
Here, we can rewrite the recursive relation as:
[tex]a_{n-1} = a_n - d[/tex]
Then:
[tex]a_2 = a_3 - d = 14 - 12 = 2\\a_2 = 2[/tex]
[tex]a_1 = a_2 - d = 2 - 12 = -10\\a_1 = -10[/tex]
[tex]a_0 = a_1 - d = -10 - 12 = -22\\a_0 = -22[/tex]
Then the first 3 terms are:
-22, -10, 2
Select the correct answer.
Which equation written in two variables is equivalent to this function?
f(x) = -2(x – 4)
A.y = -2(f(x) – 4)
B.y = -2x + 4
C.y = -2(f(x) + 4)
D.y = -2(x – 4)
Answer:
D
Step-by-step explanation:
In a function with x as the independent variable and y as the dependent variable, the f(x) notation replaces y in the equation.
find the equation of the line that is parallel to y= -7x+2 and contains the point (-5,32)
Answer:
y=-7x-3
Step-by-step explanation:
y=-7x+b
32=-7(-5)+b
32=35+b
-3=b
y=-7x-3
What is the value of x?
1000
+
300
1000
O A 160°
o
B 100°
Ос
800
10
OD
50°
Answer:
x = 50
Step-by-step explanation:
The unknown arc is
360 -30-100-100 =
130
We can find the value of x
Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)
x = 1/2 ( 130 -30)
x = 1/2 (100)
x = 50
Simplify. x 0 yz -3
Simplify. x 0 yz -3
Answer:
y / z^3
Step-by-step explanation:
x^0 is 1 because anything to the zero power is 1
1 *y z^-3
We know a^-b = 1/a^b
y / z^3
Answer:
[tex] \small \sf \frac{y}{z {}^{ 3}} [/tex]
Step-by-step explanation:
x⁰yz-³
Any non expression raised to power of 0 equals 1.[tex] \small \sf \: 1yz {}^{ - 3} [/tex]
Express with positive exponents using [tex] \small \sf \: a {}^{ - n} = \frac{1}{a^n}[/tex]1y +[tex] \small \sf \frac{1}{ z {}^{ 3}} [/tex]
[tex] \small \sf \frac{y}{z {}^{ 3} }[/tex]
Nandan bought some pencils at the rate of Rs 20 per pencil . He also bought an equal number of erasers at the rate of Rs 4 per eraser . He made 40 % profit on pencils and 50 % profit on erasers . At the end of the day, all the pencils and erasers were sold out and he made a profit of Rs 470 . Find the number of pencils he purchased.
Answer:
47 pencil
Step-by-step explanation:
Let x represent the number of pencils that were bought. Since equal number of erasers where also purchased, hence x erasers were purchased.
Cost of pencils = Rs 20 per pencil * x pencils = 20x
Cost of erasers = Rs 4 per eraser * x eraser = 4x
40% profit was made on pencils, hence:
Profit on pencils = 40% of cost price = 0.4 * 20x = 8x
50% profit was made on erasers, hence:
Profit on eraser = 50% of cost price = 0.5 * 4x = 2x
Since the total profit from pencil and eraser was Rs 470, hence:
8x + 2x = 470
10x = 470
x = 47
Therefore he purchased 47 pencil
which ordered pair is a solution of the equation 5x-3y=-12
A) (-3,-1)
B) (-1,-2)
C) (-1,-3)
D) (-2,-1)
PLEASE EXPLAIN ANSWER
Find the midpoint of the segment with endpoints:
(9,8) and (3,5).
pls pls pls pls help!!!! for geometry final
Answer:
Step-by-step explanation:
here x1=9 y1=8 x2=3 y2=5
midpoint=(x2+x1/2 , y2+y1/2)
=(3+9/2 , 5+8/2)
=(12/2 , 13/2)
=(6 , 13/2)
Two numbers are in the ratio 3:5. If one of them is greater than the other by 10,Find the smaller number.
Answer:
smaller number = 15
Step-by-step explanation:
Let the two numbers be 5x and 3x respectively.
According to the question —
5x — 3x = 10
2x = 10
x = 5
Thus the smaller number is 3 × 5 = 15
Answer:
15?
Step-by-step explanation:
Sorry I'm not entirely sure that is correct but I hope it helped!
what would be the equation for this graph? (WILL GIVE BRAINLEIST!)
Answer:
y = (x - 2)² - 9 Vertex form
y = x² - 4x - 5 Standard form
Step-by-step explanation:
vertex = (h, k) = (2, -9)
Vertex form
y = a(x - h)² + k
y = a(x - 2)² - 9
find "a" using point (5, 0)
0 = a(5 - 2)² - 9
0 = a(3)² - 9
0 = 9a - 9
9 = 9a
a = 1
y = (x - 2)² - 9
Standard form
y = (x² - 4x + 4) - 9
y = x² - 4x - 5
Margie drew the following figureHow can margie find the length of CD
Answer:
12
Step-by-step explanation:
Answer:
12............................
Step-by-step explanation: