Answer:
x = 7
Step-by-step explanation:
When two parallel lines are cut by a transversal, the corresponding angles are equal.
8x +2 = 7x + 9
Subtract 2 from both sides
8x = 7x + 9 - 2
8x = 7x + 7
Subtract 7x from both sides
8x - 7x = 7
x = 7
Answer:
x=7
Step-by-step explanation:
The 2 given angles are vertical to each other, so that means they are equal to each other.
To solve, set up an equation:
[tex]7x+9=8x+2[/tex]
Solve by isolating the variable. [Subtract and divide]
[tex]7x=8x-7[/tex]
[tex]-x=-7[/tex]
Multiply both sides by -1 to get rid of the negative sign.
[tex]x=7[/tex]
I hope this helps!
Cho Hình chóp S.ABC Có đáy là tam giac đều cạch a. SA vuông góc với đáy, SA=a . Tính góc giữa SB và mặt phẳng đáy
Answer:
45 độ
Step-by-step explanation:
SA vuông góc (ABC) => góc SAB = 90 độ; góc giữa SB và mặt phẳng đáy = góc SBA
SA=AB=a => SAB là tam giác cân
KL: góc giữa SB và mặt phẳng đáy SBA = 45 độ
Help please I need 6 and 8
The sales tax in a certain city is 2%. A man buys a camera and pays a sales tax of $3.20. What was the cost of the camera, exclusive of the sales tax?
Divide the amount of tax by the rate of tax.
3.20 / 0.02 = 160
The cost of the camera is $160
If the sales tax in a certain city is 2% and man paid sales tax of $3.20 then the cost of the camera, exclusive of sales tax is $156.80.
What is sales tax?Sales tax is the tax that is paid by buyer to seller on the amount of goods sold.
How to find cost?We have been given that sales tax in a certain city is 2% and sales tax paid by man for camera is $3.20 and we have to find the cost of the product excluding sales tax.
Sales tax=tax percentage*total price
3.20=2/100*total price
Total price=3.20*100/2
=$160
Price excluding sales tax=total price - sales tax
=160-3.20
=157.80
Hence if the sales tax in a certain city is 2% and man paid sales tax of $3.20 then the cost of the camera, exclusive of sales tax is $156.80.
Learn more about sales tax at https://brainly.com/question/9437038
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Given a line segment that contains the points A,B, & C in order, if AB = x - 2, and BC = 2x + 6, and AC = 19, find x.
please help with math properties I need 5 and 8 :)
Answer:
Step-by-step explanation:
Statements Reasons
1. m∠A = 6x - 10 1. Given
2. m∠B = 2x 2. Given
3. m∠C = 8x - 2 3. Given
4. m∠A + m∠B + m∠C = 180° 4. Triangle sum theorem
5. (6x - 10) + (2x) + (8x - 2) = 180° 5. Substitution
6. 16x - 12 = 180 6. Algebra
7. 6x = 192 7. Addition property of equality
8. x = 12 8. Division property of equality
Bob's Shoe Emporium sold 5,787 shoes in March. In April they sold 6,245 shoes. How many more shoes did they sell in April than in March? Explain how you got your answer.
What is the area of the right triangle below? A. 96 sq. units
B. 11 sq. units
C. 22 sq. units
D. 48 sq. units
Answer:
D. 48 sq. units
Step-by-step explanation:
Area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 16) *6
A = 48
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
For 25) it's option C. -1/2
For 26) it's option D. 7π/6, 11π/6
Step-by-step explanation:
If you are finding sin−1 of a positive value, the answer will be between 0 and π/2. Using the unit circle, the angle with a sine of 1/2 in the first quadrant is π/6.
Answer:
-1/2
7π/6, 11π/6
Step-by-step explanation:
First problem:
31π/6 = 31/6 π = 5 1/6 π
A full circle is 2π radians. π radians = 180°
Start at 0 radians (positive x axis), and go 5 half circles counterclockwise.
You end up at π radians, or 180°, or the negative x axis.
Now go π/6 radians more counterclockwise.
You end up at 7π/6 or 210°.
Read the y-coordinate of the point on the unit circle.
Answer: -1/2
Second problem:
Look in the figure of the first problem.
The sine corresponds to the y-coordinate.
Look at the points on the circle, below the x-axis, that have a y-coordinate of -1/2.
They correspond to 7π/6 and 11π/6
PLEASE HELP ASAP
Find the length of the arc.
Answer Options:
A. 9π/2 km
B. 9π/3 km
C. 539π/12 km
D. 18π km
Answer:
A. 9π/2km
Step-by-step explanation:
the length of the arc is
s= angle in radians* radius
the angle in radians
135 = 3π/4
therefore length of arc
s= (3π/4)*6 = 9π/2km
Answer both please
Brainliest for correct
Answer:
28 centimeters a year, 5.5 years until 344 centimeters
Step-by-step explanation:
I did the calculations, forgive me if I am wrong.
Find the solution of this system of equations
4x - 5y = -12
-X + 5y = 18
4x - 5y = -12
-x + 5y = 18
Add the equations together:
4x + -x = 3x
-5y + 5y = 0
-12 + 18 = 6
So now you have:
3x = 6
Divide both sides by 3:
X = 2
Now you have the value of x, replace x with 2 in one of the equations and solve for y:
4(2) -5y = -12
8 -5y = -12
Subtract 8 from both sides:
-5y = -20
Divide both sides by -5:
Y = 4
The solution is x = 2 and y = 4 which is written as (2,4)
Next year, air fares will rise by 3%.
Calculate the new price of a R 1 400 ticket.
9514 1404 393
Answer:
₹1442
Step-by-step explanation:
The new price will be 1+3% = 1.03 times the old price.
₹1400 × 1.03 = ₹1442
Can someone help me with this math homework please!
f(2)= f(1+1) ,where n= 1
=-6
= -2×3
= -2f(1)
f(n+1 )= -2f(n)
OPTION C is the correct answer
Answer:
option 3 is the answer.
Step-by-step explanation:
3, - 6, 12, - 24, 48, .....
Here,
f ( 1 ) = 3
f ( 2 ) = - 6
f ( n + 1 ) = - 3 f ( n )
f ( 1 + 1 ) = - 3 f ( 1 )
f ( 2 ) = - 3 x 3
f ( 2 ) = - 9
This recursive formula is not correct.
f ( n + 1 ) = - 2 f ( n )
f ( 1 + 1 ) = - 2 f ( 1 )
f ( 2 ) = - 2 ( 3 )
f ( 2 ) = - 6
This recursive formula is correct.
4×((-1+2-3+4-5+6-7...+1000)
-1 + 2 - 3 + 4 - 5 + 6 - … - 999 + 1000
= -(1 + 3 + 5 + … + 999) + (2 + 4 + 6 + … + 1000)
= -((2 - 1) + (4 - 1) + (6 - 1) + … + (1000 - 1)) + 2 (1 + 2 + 3 + … + 500)
= -((2 + 4 + 6 + … + 1000) - 500) + 2 (1 + 2 + 3 + … + 500)
= -(2 (1 + 2 + 3 + … + 500) - 500) + 2 (1 + 2 + 3 + … + 500)
Let S = 1 + 2 + 3 + … + 500. Then this sum is equal to
= -(2S - 500) + 2S
= -2S + 500 + 2S
= 500
and multiplying by 4 gives 2000.
Answer:
[tex]4\times \left(\left(-1+2-3+4-5+6-7+1000\right)\right)[/tex]
[tex]calculate\: within \: the \:parentheses[/tex]
[tex]-1+2=1[/tex]
[tex]=1-3+4-5+6-7+1000[/tex]
[tex]1-3=-2[/tex]
[tex]=-2+4-5+6-7+1000[/tex]
[tex]-2+4=2[/tex]
[tex]=-3+6-7+1000[/tex]
[tex]3-7+1000[/tex]
[tex]=-4+1000[/tex]
[tex]=996[/tex]
[tex]Multiply:-[/tex]
[tex]4\times996[/tex]
[tex]=3984[/tex]
--------------------------
Hope it helps..
Have a great day!!
A 90 ° angle is divided into 2 angles. Find the size of the angles. 5x+10 and 6x-41 Not drawn to scale
Answer:
65 and 25
Step-by-step explanation:
90=(5x+10)+(6x-41)
121=11x
11=x
Going back to the angles:
5(11)+10
=55+10
=65 this is the first angle
6(11)-41
=66-41
25 this is the second angle
the graph of a linear function is given below
Answer:
A
Step-by-step explanation:
The zero of the function is where the y-value is zero.
then it's -5
1/6 of the age of a mother is the age of her daughter. If the difference of their ages is 35 years, find the age of the mother.
Answer:
24 6
Step-by-step explanation:
""6_6_6&6&6&6__5ddyfouoyfkykyky
Find LN given the mid-segment?
Answer:
LN=4
Step-by-step explanation:
Since BA is the mid-segment of ΔLMN the end-segment will be twice the length. [tex]2*2=4[/tex]
A rectangular prism has a square base with edges measuring 8 inches each. Its volume is 768 cubic inches. Find the height and the surface area of the prism
Answer:
Height = 12in
Surface area = 320in²
Step-by-step explanation:
Given
Length of the square base = 8in
Volume of the prism = 768 cubic inches
Using the formula;
Volume of the prism = Base area * Height of prism
768 = 8² * H
768 = 64H
H = 768/64
H = 12in
Hence the height of the prism is 12in
Get the surface area
Surface area = 2l² + 2lh
Surface area = 2(8)² + 2 (8)(12)
Surface area = 128 + 192
Surface area = 320in²
Hence the Surface area of the prism is 320in²
x-2y=-4
3x+y=9
solve the simultaneous equation (find x & y)
Help pls!
Suppose ten distinct, positive integers have a median of 10. ("Distinct integers" means that no two integers are the same.)
What is the smallest the average of those ten integers could be?
Explain your answer in complete sentences.
Answer:
8.4
Step-by-step explanation:
Since we want to minimize the average, the integers should be made as small as possible. So, we have 4 integers:
1, 2, 3, 4
However, the median must be 10. The next two integers must have an average of 10 - and since the integers are distinct, we should use:
9, 11
From there, we use the smallest integers (that are still above 11) possible:
12, 13, 14, 15
The average of these 10 integers is 84/10, or 8.4.
The median is still 10, because (9+11)/2 is 10.
Answer:
8 (or 8.4)
Step-by-step explanation:
First, the problem states the words: Distinct and positive.
That means that the smallest number we can use is 0.
We can make 10 blanks for 10 numbers for us to fill in.
_ _ _ _ _ _ _ _ _ _
Since 10 is an even number, and the median is not one single number, it will be the middle of the two numbers.
In this case, our two numbers are the 5th and 6th blank.
Any two numbers can be used, as long as they are the same actual value from 10.
Let us first put in the numbers we can, which are the numbers before the two middle blanks.
0,1,2,3, _ _ _ _ _ _
To find the median between two numbers, we can do:
(a+b) divided by 2 = median
We can use the smallest following number, 4. Then the 6th number will have to be 16 for 10 to be in the middle.
Also try the largest possible number for the 5th blank, 9. Then the 6th number will be 11.
4+16 and 9+11 both equal 20, and 20 divided by 2 is 10. So both of these work.
Now let's place the other numbers in for these two equations.
0,1,2,3,4,16,17,18,19,20
0,1,2,3,9,11,12,13,14,15
If we add the numbers of each together, we get:
0,1,2,3,4,16,17,18,19,20=100
0,1,2,3,9,11,12,13,14,15= 80
If we now divide each sum by 10 (to find the average) we get:
10
8
Since both of these were the most we could go, one with the 5th number as small as possible and one with the 5th number as large as possible.
Since the smaller answer we got was 8, the answer must be 8.
(I believe 0 is a positive integer because it doesn't carry a negative sign. If 0 is not a positive integer, the answer is 8.4. Use the same process
HELP PLS
The function g(x) = x² is transformed to obtain function h:
h(x) = g(x + 7).
Which statement describes how the graph of h is different from the graph of g?
Answer:
C
Step-by-step explanation:
Consider f(x) = x^3 and g(x) = (x+1).
Every point is then shifted to the left. Why?
We can plug in some points, let's say x=0.
For f(x), we get 0, for for g(x), we get 1.
Normally, f(x) = 1 when x = 1, but now g(x) = 1 at x = 0. Basically, every point is now shifted left. It's a general rule you have to remember. Sometimes, I used to mix up the plus and minus signs becuase + intuitively for me (at least after doing some physics) is right. But it actually shifts the graph to the left. Just plug in some points and see for yourself. It's honestly the best explanation I can give you at this point in time.
Help asap
Whoever helps me I will pay you up thanks :)
Answer:
6.
2
1
3
10.9 to 1 place
7
a.) 36
b.)3
c.)65
d.)13
Step-by-step explanation:
india says that (3³)² is equivalent to 243 because the exponents should be added when simplifying the expression. explain why india is incorrect.
pls help
Answer: India is incorrect because you multiply the exponents are supposed to be multiplied not added
Step-by-step explanation:
Which of the graphs represent y=-x^2
Answer:
Step-by-step explanation:
Can't see all the graphs, but the graph of [tex]y=-x^2[/tex] is an upside down parabola with the vertex at the origin.
Evaluate 16x if x = - 3.
Answer:
16×-3
-48
I hope it's helps you
Answer:
-48
Step-by-step explanation:
16(-3) = -48
A simple random sample is drawn from a normally distributed population. The value of which of the following will not
known for certain but can be inferred?
o u
o-x
os
on
i need help asap!!!!!!!! thanks
Answer:
A.
C.
Step-by-step explanation:
range of a function is the number interval of the y (function) values.
the domain is the number interval of the x (input) values.
A.
this function has only one constant functional value : -5
so the range is the set with only that one value.
B. no, the line goes across all possible values of x.
it is therefore not limited to a single value.
C. see B. therefore, true.
D. see A. no, only one value.
E. is simply a wrong statement. it would not be a function, if there is an x that has more than one y value. but that is not the case here. every x value has exactly one y value. they are all the same, but that does not matter.
Find BC please help ASAP!!
A. 31.4km
B. 26.6km
C. 25km
D. 30.7km
Answer:
The choose (c)
C. 25km
Step-by-step explanation:
21²+14²=BC²
441+196=BC²
637=BC²
BC=25.2
BC=25 Km
suppose the team wins ten of it's following remaining 18 games. What is it's winning percentage?