Answer:
x=45
Step-by-step explanation:
We know that 2y+6 and 8y-102 are vertical angles to each other. This means that 2y+6=8y-102. [tex]6y=108[/tex], which means that y=18. [tex]2\cdot(18)+6=36+6=42[/tex]. Since one line is a straight angle, it is 180 degrees we can do [tex]3x=180-45=135[/tex], so x=45.
Answer:
y = 18
x = 46
measures of the angles:
8y - 102 = 42
2y + 6 = 42
3x = 138
Step-by-step explanation:
So first remember the verticle angles theorem, which states that, when two lines intersect there will be four angles formed; the angles that are opposite from each other will be congruent, that is, they will have the same measure.
Using this we know that opposite angles have to be congruent:
so
(2y + 6) = (8y -102)
now there is an algebra equation that can be solved by inverse operations and simplifying
2y + 6 = 8y - 102
+102 +102
2y + 108 = 8y
-2y -2y
108 = 6y
/6 /6
18 = y
Also, remember that two adjacent angles that form a line will add up to 180,
so
3x + (2y + 6) = 180
*note: I could have also used (8y - 102) but I choose to use (2y + 6)
so now substitute in the value of y that was found
y = 18
3x + (2 * 18 + 6) = 180
simplify
3x + ( 36 + 6) = 180
3x + 42 = 180
now use inverse operations
3x + 42 = 180
-42 -42
3x = 138
/3 /3
x = 46
Carson was shopping online for bow ties to wear with his school uniform he bought a certain number of ties that each cost $12.50 and paid a flat rate of 19 for shipping and handling he has 220 in his bank account before buying the tie write the expression to represent how much money Carson spell on low tide be sure to Define your variable
Given :
Carson was shopping online for bow ties to wear with his school uniform he bought a certain number of ties that each cost $12.50 and paid a flat rate of 19 for shipping and handling.
He has $220 in his bank account before buying the tie.
To Find :
Maximum number of ties he can buy.
Solution :
Let, price of buying x ties is y.
y = 19 + (12.50)x
It is given that he has $200 in his bank account.
So, price of buying tie ≤ $200
y ≤ 200
19 + (12.50)x ≤ 200
(12.50)x ≤ 200 - 19
x ≤ 14.48
Since, number of tie cannot be in decimal.
x ≤ 14
Therefore, maximum tie he can buy is 14.
Hence, this is the required solution.
A dock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. How much has the polygon rotated after 7 minutes? O 14 O 21 O 35 O 42
Answer: 42
Step-by-step explanation:
Did the test
please please pleaseee
Answer:
a. C= 5/9(F-32)
Step-by-step explanation:
you have to subtract 32 from both sides so that leaves you with f-32=9/5c and so then you need to multipy each side my 5/9 and that leaves yoh with 5/9(f-32)=c
Th e NCAA recommends that a competition diving pool intended for use with two 1-m springboards and two 3-m springboards, in addition to diving platforms set at 5 m, 7.5 m, and 10 m above the water, have a width of 75 ft 1 in., a length of 60 ft, and a minimum water depth of 14 ft 10 in. What is the minimum volume of water such a pool would hold in cubic yards, to the nearest whole number?
Answer:
The volume of the swimming pool is approximately 2475 yd³ to the nearest whole number
Step-by-step explanation:
The given information are;
The width of the swimming pool = 75 ft. 1 in.
The length of swimming pool = 60 ft.
The depth of the swimming pool = 14 ft. 10 in.
Therefore;
The volume of the swimming pool = Width × Length × Depth
The volume of the swimming pool = 75 ft. 1 in. × 60 ft. × 14 ft. 10 in.
The volume of the swimming pool = 901 in. × 720 in. × 178 in. = 115472160 in.³
1 in.³ = 2.14335 × 10⁻⁵ yd³
∴ 115472160 in.³ = 115472160 in.³ × 2.14335 × 10⁻⁵ yd³/in³ ≈ 2474.969 yd³
Which gives;
The volume of the swimming pool ≈ 2475 yd³ to the nearest whole number.
which fraction is less 2/10 or 5/8 or neither they are equal
2/10 is less, because with a common denominator they are 8/40 and 25/40. Since 5/8 = 25/40, and 8/40 is smaller than that, 2/10 is smaller.
Answer:
2/10 is less than 5/8
Step-by-step explanation:
2/10 =0.20
5/8= 0.625
0.20<0.625
Jeans are on sale for $16 per pair. How much will 4 pairs of jeans cost?
Answer:
4 pairs cost $64
Step-by-step explanation:
16*4=64$
a) What is y=mx+b?
b) What does the m stand for?
c) What does the b stand for?
d) Where do I find the x & y?
e) If I get two coordinate points how do I find the slope? What is the formula?
f) If I get a graph, how do I find the slope?
Chips are $1.49 a bag. They are 27% off. What is the new price?
A. $1.09
B. $3.20
C. $87.25
Answer:
A
Step-by-step explanation:
you do 1.49 x 0.79 to find the remaining amount after the discount and it is 1.09
a) name the transversal connecting 1 and 5
b) name the transversal connecting 7 and 14
c) name the transversal connecting 8 and 11
d) name the transversal connecting 7 and 15
e) name the transversal connecting 3 and 9
Answer:
a) Name the transversal connecting 1 and 5. Line r b) Name the transversal connecting 7 and 14. Line q c) Name the transversal connecting 8 and 11. Line s d) Name the transversal connecting 6 and 15. Line q e) Name the transversal connecting 3 and 9. Line p
Step-by-step explanation:
The angles pairs and the transversal connecting them are:
a. <1 and <5: transversal r.
b. <7 and <14: transversal q
c. <8 and <11: transversal s
<6 and <15: transversal q.
<3 and <9: transversal p.
Note the following about what a transversal is:
A transversal is a line that intercepts or cut-across two straight lines.A transversal will connect two angles that lie in two other straight lines the transversal intercepts.The two angles connected by a transversal can lie on opposite sides of a transversal or on same side along the transversal.Let's determine the transversal connecting the following given angles:
<1 and <5, is connected by transversal r.<7 and <14 is connected by transversal q<8 and <11 is connected by transversal s<6 and <15 is connected by transversal q<3 and <9 is connected by transversal pTherefore, the answers are:
a. <1 and <5: transversal r.
b. <7 and <14: transversal q
c. <8 and <11: transversal s
<6 and <15: transversal q.
<3 and <9: transversal p.
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Find the average rate of change of g(x)=3x^2 ver the interval [-5, -3].
Answer:
ill help
Step-by-step explanation:
2. The area A of a rectangle is represented by the formula A = lw where l is the length
and w is the width. The length of the rectangle is 5.
Write an equation that makes it easy to find the width of the rectangle if we know the
area and the length.
Answer:
rearrange the formula A=lw and make the width the subject of the formula
therefore to find width, the formula is w=A/l
Width = Area/Length
What is the Area of Rectangle?
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.
The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area.
Area of rectangle = Length x Breadth(or width)
A = L*W
Given,
Length = L = 5
Width = W
Let Area = A
according to the formula of rectangle,
A = L*W
If Area and length is given,
W = A/L
Width = Area/Length = Area/5
Therefore, the equation is Width = Area/Length
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Two-Step Equations 2/5x−3=−17
Answer:
x =-35
Step-by-step explanation:
2/5x−3=−17
Add 3 to each side
2/5x−3+3=−17+3
2/5x = -14
Multiply each side by 5/2
5/2 * 2/5x = -14 * 5/2
x = -35
Answer:
x = -35
Step-by-step explanation:
Add 3 to each side, so it now looks like this: 2/5x = -14Divide each side by 2/5 to cancel out the 2/5 next to x. It should now look like this: x = -35I hope this helps!
I finished this question but I need someone to check it, thanks
Answer:
Looks good ✋
Step-by-step explanation:
Answer:
it is correct
Step-by-step explanation:
I got 5,432,113,209,876,532
show how the point at (4,5) on the graph of f(x) translates for f(x-2)+7
Answer:
The point at (4,5) on the graph of f(x) translates for f(x-2)+7 is (6,12)
Step-by-step explanation:
Function of graph : f(x)
Rule : f(x)→f(x-c)
When the graph shifts to right by c units
Coordinates (x,y)→(x+c,y)
Rule : f(x)→f(x)+c
When the graph shifts up by c units
Coordinates (x,y)→(x,y+c)
So, Graph f(x-2)+7
Now given graph f(x)
Shift this right by 2 units and then shift up by 7 units
So, f(x)→ f(x-2)+7
Now , Translation of point(4,5)
Using rule :
When shift by 2 units right
(4,5) →(4+2,5)=(6,5)
Now shift up by 7 units
(6,5) →(6,5+7)=(6,12)
So, the point at (4,5) on the graph of f(x) translates for f(x-2)+7 is (6,12)
Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her teacher
friends at school
She wants to divide the cookies into identical containers so that each
container has the same number of each kind of cookie.
If she wants each container to have the greatest number of cookies possible, how many plastic containers does she
need?
Answer: 16 containers?
Step-by-step explanation:
Number of oatmeal cookies with Kiara = 30
Number of chocolate chips cookies with Kiara = 48
To find the greatest number of container neded so that there are equal amount of each cookies in each , we have to find the HCF of 30 and 48 .
Factors of 32 = 1 , 2 , 4 , 6 , 8 , 16 and 32
Factors of 48 = 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 and 48
Common and highest among these factors = 16
Which means 16 is the HCF of 32 and 48 .
∴ Kiara will need 16 plastic containers .
What is the name of the lake located at letter B on the map above? Answer is C :)
Answer:
the answer is C. lake Texoma
hope this helps
Please answer quickly!
Find the equation of the line.
Y=__x + __
Answer:
y = 3x + 3
Step-by-step explanation:
Using slope intercept form: y = mx + b
where m is the slope(rise over run/change in y over change in x), and b is the y intercept(point where x is 0). We can derive the equation by simply using our mathmatical principles of slope and y intercept. Because our y intercept is where x is 0. Our y intercept is 3 since x is 0 when y is 3 because it touches the axis. Since y is 6 when x is one.
y = mx + b
6 = m(1) + 3
-3 -3
_________
3 = m
_________
m = 3
_________
An m of 3 means that you rise 3 every 1 run or 3y every 1x.
Therefore, our equation in slope intercept is:
y = 3x + 3
PLEASE HELP!! MATH FINAL + NO EXPLANATION NEEDED :))
Answer:
C.
Step-by-step explanation:
I need help plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Bruh.
Step-by-step explanation:
please help me out!!!
show work .-12.4+9.2
Answer: -12.4 + 9.2 = -3.2
4-2=2
9-12=3
Step-by-step explanation: An easy way that I've found is to just subtract the smaller digits (9.2) from the larger digits (12.4) and make the answer a negative.
Answer:
-3.2
Step-by-step explanation:
This is the longer explanation.
-12.4+9.2 let's start with the tenth values.
On a number line, when you're adding a positive number to a negative number you go up. -.4+.2 would be -.2, but if that's too difficult imagine if it was tens place meaning -4+2 which would equal 2 but the difference is you have to add the decimal in this problem. So the answer is -.2.
Now, we are adding 9 to -12. On a number line, think of it as being positioned at -12 and having to go up 9 times because remember when you're adding a positive number to a negative number you go up. When you go up the number line 9 times you stop at -3. When you go back down subtracting 9, you'll be placed at -12. So our answer is -3.
-3.0+-.2= -3.2. When you add -.2 to -3 you end up with -3.2. Line it up as a typical addition problem if you need to.
find the area of the equilateral triangle.if its perimeter is 24cm
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²
A circuit board manufacturer rejects a 100-ohm resistor if its measured resistance is 0.15 ohm or more away from 100 ohms. Resistors A and B are rejected. Resistor A's resistance differs from 100 ohms by +0.15 ohm. Resistor B's resistance differs from 100 ohms by -0.78 ohm. Which resistor has a resistance closer to 100 ohms?
Answer:
Resistor A has a resistance closer to 100
Step-by-step explanation:
Here, we want to know which of the two resistors have a resistance closer to 100 ohms
To know the resistance closer to 100, we need to know the absolute value of the resistances
-0.78 has a resistance of 100 - 0.78 = 99.22
The 15 ohms resistor has resistance of 100 + 0.15 = 100.15
Since 100.15 is closer to 100 than 99.22, due to the absolute value of both, then the +0.15 ohm resistor is closer to 100
Find the value of x so that line m is parallel to line l.
Answer:
-17
Step-by-step explanation:
The angles are corresponding angles so when the lines are parallel, the lines are equal
3x-12 = 4x+5
Subtract 3x from each side
3x-12 -3x = 4x+5-3x
-12 = x+5
Subtract 5 from each side
-12 -5 = x+5-5
-17 = x
Answer:
-17
Step-by-step explanation:
The two angles that are shown are *corresponding angles* which means they lie in the same spot, just on two different parallel lines. They are congruent angles. Therefore, you should set up an equation to solve for x. Since the two angles are congruent, you should set the expressions equal to each other. 3x-12=4x+5.
Michael earns $12.50 per hour. Which equation describes this statement?
y=25x
y=12x
y=0.5x
y=12.5x
Answer: y= 12.5x
Step-by-step explanation:
The last equation describes this statement because if he earns 12.50 per hour the y will be the amount he earns in x hours. For every hour, the money will go up by $12.50.
A 24ft flagpole has a shadow of 9ft. A soldier standing next to the flagpole has a shadow of 2.25 feet. How tall is the soldier?
Answer:
6 feet
Step-by-step explanation:
Let's form a proportion;
24 x
____ = _____ ,
9 2.25
24(2.25) = 9x,
54 = 9x,
x = height of soldier = 6 feet
Answer:
6 feet
Step-by-step explanation:
[tex]\frac{height of object}{length of shadow}[/tex]
Let the hight of the soldier be x
[tex]\frac{24}{9}[/tex] = [tex]\frac{x}{2.25}[/tex]
x = (24×2.25)/9 = 6ft
Help? Find angle psw
Which theorem correctly justifies why the lines m and n
are parallel when cut by transversal k?
converse of the corresponding angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem
converse of the alternate exterior angles theorem
Graph the given inequality.
-3 > n
How do I do this?
-3 > n is the same as n < -3 after you flip both sides and flip the inequality.
To graph this, we place an open hole at -3 on the number line. Then we shade to the left to indicate all values smaller than -3. The open hole says "the endpoint is not included". This is because -3 is not smaller than itself.
We would have a filled in circle if we had "or equal to" as part of the inequality, but we don't.
The graph is shown below.
Sales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $150?
Answer:
$160.50
Step-by-step explanation:
You multiply $150 by .15 to find out what 15% of it (10.50)
You add the values to get $160.50
10.5 is the sales tax on clothing that costs $150
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Sales tax is calculated as a percentage of the sales price.
sales tax is 7%
We need to find the the sales tax on clothing that costs $150
Convert 7% to the decimal value by dividing with 100.
7/100=0.07
Now multiply 0.07 with 150
0.07×150
Zero point zero seven times of one hundred and fifty.
10.5
Hence, 10.5 is the sales tax on clothing that costs $150
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