Answer:
1. x = 120°
2. x = 115°
Step-by-step explanation:
For the first question, you can see that the two lines are parallel. This means you can use any of the alternate interior angles, alternate exterior angles, corresponding angles, consecutive interior angles, and consecutive exterior angles.
You can see that the transversal cutting the two parallel lines make a 40° angle, and through alternate interior angles, the angle next to x is also 40°.
Because a straight line is 180°, the three angles that make up the straight line will add up to 180°. So:
x + 20° + 40° = 180°
x + 60° = 180°
x = 120°
For the second question, extend the line (the left one marked with 1 arrow) to make a smaller triangle attached to the parallelogram.
Because this is a parallelogram, opposite angles are congruent. So the opposite angle of x is also x.
Straight lines are 180°, so 180 - x will be what the angle measure is. If this is too confusing, refer to the image below.
Those two angles, 50° and (180 - x)°, will add up to be the exterior angle, which is also x.
So:
50 + 180 - x = x
230 = 2x
115 = x
x = 115
-4-(-15)
What is the answer
the answer is 11
-4 - (-15) = 11
13+37 please help me!
Answer:
13+37=50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
Find the solutions
x3 + 7x2 – X – 7 = 0
Answer:
x=−1 or x=1 or x=−7
Step-by-step explanation:
x3+7x2−x−7=0
Step 1: Factor left side of equation.
(x+1)(x−1)(x+7)=0
Step 2: Set factors equal to 0.
x+1=0 or x−1=0 or x+7=0
x=−1 or x=1 or x=−7
Answer:
x=-7,-1,1
Step-by-step explanation:
PLEASE HELP ME WITH THIS I WILL GIVE YOU BRAINLIEST.Correct each of the following errors by circling the error, describing what is wrong, entering what should
be there instead, and entering the correct answer.
1. (3x2
)(−2x4
) = 3(−2)x2∙4 = 6x8
2. 4a2
∙3a5
= (4 + 3)a2+5 = 7a7
3. x6
∙x∙x3
= x6+3 = x9
4. 34
∙23
= 64+3
Answer:
This does not make sense
Step-by-step explanation:
Answer: x3 • (x6 - x3 - 1)
Step-by-step explanation:Changes made to your input should not affect the solution:
(1): "x3" was replaced by "x^3". 2 more similar replacement(s).
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
x9 - x6 - x3 = x3 • (x6 - x3 - 1)
Trying to factor by splitting the middle term
2.2 Factoring x6 - x3 - 1
The first term is, x6 its coefficient is 1 .
The middle term is, -x3 its coefficient is -1 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1
Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is -1 .
-1 + 1 = 0
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x3 • (x6 - x3 - 1)
Dave took 8/9 of his savings and decided to invest it. With his investments, 2/3 of it will go into the Canadian stock market. Amongst his Canadian stocks, 1/2 of it will be invested into oil companies. If Dave had $100,000 in his savings account, how much did he invest into Oil companies?
a) Write an equation to represent the scenario
b) Solve the equation and find out how many bags he can make:
Answer:
Dave invested approximately $29,629.63 into Oil companies.
Step-by-step explanation:
8/9 (100,000) = i
i= $88,888.89
2/3(88,888.89)=c
c = $29,259.26
1/2(29,259.26)=o
o= $29,629.63
The inner circumference of a hollow cylindrical pipe is 4.5 metres and outer circumference is 4.6 metres. Find the cost of painting both its inner and outer sides at the rate of 20 per metre square, if it is 8 metres tall.
Answer:
[tex]\$527.2[/tex]
Step-by-step explanation:
[tex]r_i[/tex] = Inner radius
Inner circumference = 4.5 m
[tex]2\pi r_i=4.5\\\Rightarrow r_i=\dfrac{4.5}{2\pi}\\\Rightarrow r_i=\dfrac{2.25}{\pi}[/tex]
[tex]r_o[/tex] = Outer radius
Outer circumference = 4.6 m
[tex]2\pi r_o=4.6\\\Rightarrow r_o=\dfrac{4.6}{2\pi}\\\Rightarrow r_o=\dfrac{2.3}{\pi}[/tex]
h = Height of cylindrical pipe = 8 m
Total surface area to be painted
[tex]s=\pi r_i^2h+\pi r_o^2h\\\Rightarrow s=\pi h(r_i^2+r_o^2)\\\Rightarrow s=\pi\times 8((\dfrac{2.25}{\pi})^2+(\dfrac{2.3}{\pi})^2)\\\Rightarrow s=26.36\ \text{m}^2[/tex]
Cost of painting 1 square meter is 20
Cost of painting the inner and outer surfaces is [tex]20\times 26.36=\$527.2[/tex]
The total cost painting the surfaces is [tex]\$527.2[/tex].
please help with this (sorry if its blurry.)
which story matches the equation?
Answer:
Story A.
Step-by-step explanation:
How many two-dimensional objects does the
object shown above have?
A. 3
B. 4
C. 8
O D. 5
Answer:
d
Step-by-step explanation:
Help please and make sure the answer is right! Please :(
You see how these 2 angles marked are both inside the 2 parallel lines?
And they are on opposite side of the transversal, the line crossing the 2 parallel lines?
These 2 angles are alternate interior angles and they are equal, I think you can do the last part by yourself.
Destiny made a password that consists of 4 digits, 0-9. None of the digits are the same How many passwords are possible?
Answer:
5,040
Step-by-step explanation:
10x9x8x7 = 5,040
Using the permutation formula, it is found that 5040 passwords are possible.
The order is important, as 1234 is a different password than 2134, for example, hence the permutation formula is used to solve this question.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 4 digits are taken from a set of 10, hence:
[tex]P_{(10,4)} = \frac{10!}{6!} = 5040[/tex]
5040 passwords are possible.
You can learn more about the permutation formula at https://brainly.com/question/25925367
Alaina is helping to build a new room in her house. The length of the room will be 12 feet. Three feet is about 0.9144meters so about how many meters will the length of the room measure? Round to the nearest hundredth.
Answer: 3.66m
Step-by-step explanation:
If 3 feet is 0.9144 and you have 12ft, you first need to divide the 12 by 3 and you get 4. Now that you have the scale factor you multiply the 0.9144 by 4 and you get 3.6576 but they want it to the nearest hundredth (second number after the decimal point) so the answer will be 3.66m
Find the slope that passes through the line (9, 3) and (2, 7)
Answer:
-4 / 7
Step-by-step explanation:
m = (y2 - y1) / (x2 - x1)
m = (7 - 3) / (2 - 9)
m = 4 / -7
m = -4 / 7
OR
m = (y2 - y1) / (x2 - x1)
m = (3 - 7) / (9 - 2)
m = -4 / 7
need help asap just look at the poic thank you so much
Answer:
72
Step-by-step explanation:
bxh/2
18x8/2=72
Help me plz <3 I need help
Round 75.6475.6475, point, 64 to the nearest ten
Answer: nearest tenth is 49.0
Step-by-step explanation:
Hope this helps!
Select the correct figures.
Choose the solids with approximately equal volumes.
Answer:
Step-by-step explanation:
A triangular prism. A triangular side is shaded.
Which is true of the figure shown?
Slices made perpendicular to the base will be shaped like a trapezoid.
Slices made parallel to the base will be shaped like a rectangle.
Slices made perpendicular to the base will be shaped like a triangle.
Slices made parallel to the base will be shaped like a triangle.
Answer: D
Step-by-step explanation:
I got it wrong twice and it said the answer was D
Answer:
The answer is D!
Step-by-step explanation:
Please solve this with explanation
Answer:
-27/8
Step-by-step explanation:
just times than the power -3
Which figure is a radius of F? worth 20 points
Answer:
FD
Step-by-step explanation:
Answer: The awnser would be FD
Step-by-step explanation:
because ce is not in a line ab are connected together and cd are also connected past the center point so the awnser is FD
which expression is equivalent to 4(6 -2x)
( A. 24 - 8x)
( B. 24 - 6x)
( C. 10 - 8x)
( D. 10 - 6x)
The expression equivalent to 4(6 -2x) is A. 24 - 8x.
What is an expression?An expression is a sentence in two or more than two variables separated by addition or subtraction or both. There are many types of mathematical expressions they are algebraic expressions, trigonometric expressions, logarithmic expressions, and many more.There are also three basic math properties they are commutative law which states a + b = b + a, associative law which states (a+b) + c = a + (b+c) and distribute law which states a(b+c) = ab + ac.
We know distributive property states that a(b+c) = b + bc.
∴ The expression 4(6 -2x) is equivalent to,
= 24 - 8x.
learn more about commutative law here :
https://brainly.com/question/28668382
#SPJ6
how would I solve this
Answer:
x=12
Step-by-step explanation:
subtract each side by five since it is the inverce oporation
If,
A = {3, 5, 7, 9}
B = {2, 4, 6, 8, 10}
C = {12, 14, 18, 20, 24
D = {21, 26, 31, 36}
Answer
What is the question?
Explanation
Thanks for the free points
Have a great day/night ❤
Find the new set of coordinates given the scale factor for k > 1. E = (-1, -2), F = (2, -5), G = (5, -1), H = (1, 1) Scale factor = 6 E'= F' = G' = H' =
Answer:
The new set of coordinates are [tex]E'(x,y) = (-6,-12)[/tex], [tex]F'(x,y) = (12,-30)[/tex], [tex]G'(x,y) = (30,-6)[/tex] and [tex]H'(x,y) = (6,6)[/tex].
Step-by-step explanation:
Vectorially speaking, dilation can be defined by this equation:
[tex]D'(x,y) = O(x,y) +k\cdot (D(x,y)-O(x,y))[/tex] (1)
Where:
[tex]O(x,y)[/tex] - Center of dilation.
[tex]D(x,y)[/tex] - Original point.
[tex]k[/tex] - Scale factor.
[tex]D'(x,y)[/tex] - Dilated point.
Let suppose that center of dilation is located at origin, we determine the new set of coordinates below:
[tex]E'(x,y) = O(x,y) +k\cdot (E(x,y)-O(x,y))[/tex]
[tex]E'(x,y) = (0,0) +6\cdot (-1,-2)[/tex]
[tex]E'(x,y) = (-6,-12)[/tex]
[tex]F'(x,y) = O(x,y) + k\cdot (F(x,y)-O(x,y))[/tex]
[tex]F'(x,y) = (0,0) +6\cdot (2,-5)[/tex]
[tex]F'(x,y) = (12,-30)[/tex]
[tex]G'(x,y) = O(x,y) + k\cdot (G(x,y)-O(x,y))[/tex]
[tex]G'(x,y) = (0,0) + 6\cdot (5,-1)[/tex]
[tex]G'(x,y) = (30,-6)[/tex]
[tex]H'(x,y) = O(x,y) +k\cdot (H(x,y)-O(x,y))[/tex]
[tex]H'(x,y) = (0,0) + 6\cdot (1,1)[/tex]
[tex]H'(x,y) = (6,6)[/tex]
The new set of coordinates are [tex]E'(x,y) = (-6,-12)[/tex], [tex]F'(x,y) = (12,-30)[/tex], [tex]G'(x,y) = (30,-6)[/tex] and [tex]H'(x,y) = (6,6)[/tex].
Rewrite 2/5 : 1/20
as a unit rate.
A. 8:1
B. 40:5
C. 5:40
D. 40:1
Answer:
A - 8:1
Step-by-step explanation:
2/5:1/20
cross multiply
40:5
8:1
Answer:
8:1
Step-by-step explanation:
How much heavier is the toffee packet which has mass 1 kg 845 g in comparison to 500 g of chocolates? *
Answer:
toffee packet
Miguel, com apenas R$ 12,00, comprou maçã e laranja em uma feira. A unidade da maçã custou R$2,00 e da laranja, R$ 1,00.Com o dinheiro que possuía, a maior quantidade de frutas que ele pode ter comprado é *
(A) 6
(B) 8
(C) 10
(D) 11
(E) 12
Answer:
(D) 11
Step-by-step explanation:
maca e laranja significa que ele precisa comprar pelo menos 1 de cada, a maca e mais cara ent compre 1 e o resto de laranja, isso daria 11 frutas.
Simplify: 4(2b + 2) – 3
Answer:
=8b + 5
Step-by-step explanation:
do you need an explantion
Answer:
8b + 5
Step-by-step explanation:
By consulting the table below, you will find how I got 8b + 8, and then
Since 8 and -3 are like terms, I put them together
8 - 3 = 5
So in the simplest form the equation is
8b + 5
PLEASE HELP ME HURRY!!!
Use substitution. What is the solution to the system of equations? Use the drop-down menus to explain your answer.
y =x+2
2y=x+4