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Sum of the interior angles of any triangle equal 180° .
Thus ;
[tex](x + 20) + 3x + 60 = 180[/tex]
[tex]4x + 80 = 180[/tex]
Subtract sides 80
[tex]4x + 80 - 80 = 180 - 80[/tex]
[tex]4x = 100[/tex]
Divide sides by 4
[tex] \frac{4}{4} x = \frac{100}{4} \\ [/tex]
[tex]x = 25[/tex]
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Answer: definitely x=25
Step-by-step explanation:
The point slope form of the equation of the line that passes through (-9,-2) and (1,3 ) is y- 3= 1/2(x-1). What is the slope intercept form of the equation for this line? (Plz help!! It’s 15 points!! )
Answer:
y=.5x+2.5 OR [tex]y=\frac{1}{2}x +\frac{5}{2}[/tex] (both are right)
Step-by-step explanation:
Distribute the 1/2
y-3=.5x-.5
add 3
y=.5x+2.5 OR [tex]y=\frac{1}{2}x +\frac{5}{2}[/tex] if you're into fractions
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
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
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
Can someone help me on these questions for geometry sorry if the quality is bad.
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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I need help plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Bruh.
Step-by-step explanation:
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.
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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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
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
expand 3(z+3) please help me solve this
Answer:
3(z+3) = 3z + 9 if thats what your asking
Step-by-step explanation:
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 .
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 prism has 10 vertices.How many edges does it have?
Answer:
do you men triangular prism is 6 edges
For the function f(x) = (x - 2)2 + 4, identify the vertex, domain, and range. (2 points) a The vertex is (-2, 4), the domain is all real numbers, and the range is y ≥ 4. b The vertex is (-2, 4), the domain is all real numbers, and the range is y ≤ 4. c The vertex is (2, 4), the domain is all real numbers, and the range is y ≤ 4. d The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.
Answer: The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.
Step-by-step explanation:
Answer: The correct answer is D (The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.)
Step-by-step explanation:
3. 9x10^4. 4. 5x10^7. Please answer 3 and 4
Answer:
9 times 10 to the power of 4 is equal to 9 times 10,000
Step-by-step explanation:
3) is 4 times greater
4) 7 times greater
Answer:
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Step-by-step explanation:
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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.
In its first year of operation, Big Lake Camp had 40 campers. This year’s attendance was 180% of the first year’s. How many campers participated this year?
32
58
64
72
Answer:
72 campers participated this year
Step-by-step explanation:
Percentages
To determine x% of y, we must calculate x*y/100.
The number of campers that participated in Big Lake Camp during its first year was 40. We now want to know the number of campers that participated this year, if the attendance was 180% of the first year's.
The new attendance is calculated as follows:
40 * 180 / 100 = 72
72 campers participated this year
Answer:
72
Step-by-step explanation:
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
2x+5y=10
Solve for y
2x+5y=10
Move constant to the left by adding its opposite to both sides
2x+5y-10=10-10
the sum of two opposites equals 0
Answer: 2x+5y-10=0
PLEASE MARK ME AS BRAINLIEST
In a rectangle KLMN, the diagonals KM and LN intersect at O. (i) If KO = 4y + 6 and ON = 3y + 11, find the lengths of its diagonals. (ii) If ∠NKM = 32°, find ∠KON and ∠KMN. GUYS, IT'S VERY URGENT. I HAVE TO SUBMIT TOMORRIW. PLS ANS. PLS DON'T GIVE WRONG ANSWERS
Answer:
Step-by-step explanation:
In a rectangle KLMN, if the diagonals KM and LN intersect at O, then KO = ON
GIVEN
KO = 4y+6
ON = 3y+11
Equate
4y+6 = 3y+11
Collect like terms
4y-3y = 11-6
y = 5
KO = 4(5)+6
KO = 20+6
KO = 26
Note that KO = OM = LO = ON = 26
Hence ON = 26
For diagonal KM,
KO+OM = KM
KM = 26+26
KM = 52
LN = LO+ON
LN = 26+26
LN = 52
From.the digram, ∆KON is isosceles triangle hence <KON = KNO =32°
<KON = 180-(32+32)
<KON = 180-64
<KON = 116°
<ONM = 90-32
<ONM = 58°
∆ONM is also an isosceles triangle,
<ONM = <OMN = 58°
Hence <KMN = 58°
find the number of point p that is 1/4 of the way from a to b.
A__________________B
-15 33
Answer:12
Step-by-step explanation:33 + 15=48 48/4=12
The sum of three numbers is 36. The first number is two times the second number, and the second number is
four less than the third number. What are the numbers?
o (8, 12, 16)
12<8, 16)
(12, 16,8)
o (16, 8, 12)
Please help out
Answer:
o (16, 8, 12)
Step-by-step explanation:
1st number: 8*2 =16
2nd number:12-4=8
3rd number: given
Answer:
16,8,12
Step-by-step explanation:
its 16,8,12 because:
8x2=16
12-4=8
youre welcome
What is -2x-4y=36 written in slope-intercept form?
Question 3 options:
y=12x+9
y=−12x+9
y=−2x−9
y=−12x−9
I will give a brainliest
CMONNN I NEEDDDDD HELP !!!!
Answer:
My answer will be 3.
Step-by-step explanation:
What is the midpoint between (5,1) and (-1,4)
Answer:
2, [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given parameters:
Coordinates = (5,1) and (-1,4)
Unknown:
The midpoint = ?
Solution:
To find the midpoint of these endpoints;
this can be mathematically expressed as;
x[tex]_{m}[/tex] , y[tex]_{m}[/tex] = [tex]\frac{x_{1} + x_{2} }{2} , \frac{y_{1}+y_{2} }{2}[/tex]
From the given coordinates;
x₁ = 5 y₁ = 1
x₂ = -1 y₂ = 4
x[tex]_{m}[/tex] , y[tex]_{m}[/tex] = [tex]\frac{5+(-1)}{2}[/tex] , [tex]\frac{1 + 4}{2}[/tex] = 2, [tex]\frac{5}{2}[/tex]
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
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)
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.