Answer:
Step-by-step explanation:
equilateral triangle
Answer:
Dodecagon (12 - sided polygon)Step-by-step explanation:
Let it be n- sided polygon.
Sum of interior angles is 150n.
On the other hand we know the sum of interior angles of a regular n - sided polygon is calculated using the following formula:
S = 180(n - 2)Compare the sums and solve for n:
180(n - 2) = 150n180n - 360 = 150n180n - 150n = 36030n = 360n = 360/30n = 1212-sided polygon is called dodecagon
Solve each of the following quadratic equations.
a. x^2-8x+ 15 = 0
b. 2x^2 - 5x - 6 =0
Answer:
[tex]a. \: \: x = 3 \: \: and \: 5[/tex]
[tex]b. \: \: x = \frac{5± \sqrt{73} }{4} [/tex]Step-by-step explanation:
[tex]a. \: \: \: x^2-8x+ 15 = 0 \\ {x}^{2} - 5x - 3x + 15 = 0 \\ x(x - 5) - 3(x - 5) = 0 \\ (x - 3)(x - 5) = 0 \\ x = 3 \: and \: 5[/tex]
[tex]b. \: \: 2x^2 - 5x - 6 =0 \\ x = \frac{5± \sqrt{73} }{4} [/tex]
Hope it is helpful....Given the points A(-1, -2), B(-1, 2) and C(6,0), use the distance formula to
classify the triangle
by its sides.
how long does it take jesse to accelerate from rest in his car to a velocity of 180 km/h if the car accelerates at 15 km/h/s
Answer:
I think answer is 195.Is it right make me a braillent
student.
HELP MARKING BRAINLIEST EXTRA POINTS !!
explain how you would find the perimeter and area of the quadrilateral shown on the coordinate grid what does the slope of the segments that are what sides of the figure have to do with classifying the quadrilateral.
Answer:
The quadrilateral is a rectangle[tex]Perimeter=8\sqrt{2} \,\,Unit[/tex][tex]Area=6\,\,sq.unit[/tex]Step-by-step explanation:
Given,
[tex]A=(0,0)\\B=(1,1)\\C=(4,-2)\\D=(3,-3)[/tex]
Now,
[tex]Slope\,\,for\,\,AB=\frac{1-0}{1-0} =1\\\\Slope\,\,for\,\,CD=\frac{-3+2}{3-4} =1\\\\Slope\,\,for\,\,AD=\frac{-3-0}{3-0} =-1\\\\Slope\,\,for\,\,BC=\frac{-2-1}{4-1} =-1\\\\So,AB||CD\,\,and\,\,AD||BC[/tex]
[tex]AB=\sqrt{(1-0)^2+(1-0)^2}=\sqrt{2}\\BC=\sqrt{(4-1)^2+(-2-1)^2}=3\sqrt{2}\\CD=\sqrt{(3-4)^2+(-3+2)^2}=\sqrt{2}\\AD=\sqrt{(3-0)^2+(-3-0)^2}=3\sqrt{2}\\\\So,\,\,AB=CD,AD=BC\\The\,\,quadrilateral\,\,is\,\,a\,\,rectangle[/tex]
[tex]Perimeter=2*(AB+AD)=2*(BC+CD)\\=2*(\sqrt{2}+3\sqrt{2})=8\sqrt{2} \,\,Unit[/tex]
[tex]Area=AB*AD=BC*CD=\sqrt{2} *3\sqrt{2}=6\,\,sq.unit[/tex]
Hope you have understood this.....
ask me if you have any confusion.....
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Find the measures of
21
and
22
80°
2102°
Answer:
Angle 1 is 22°
Angle 2 is 78°
Step-by-step explanation:
Angles on a straight line always add up to 180°.
To find Angle 2, you would have to do 180° take away 102°.
180-102=78°
Angles in a triangle also add up to 180°.
So to find Angle 1, you would have to add the two Angles you already have and take it away from 180°.
80+78=158°
180-158=22°
Hope this helps :)
i have no idea how to solve this help
Answer:
Length(L) = y
perimeter of square = 4L
since L = y
so perimeter of square is 4y
5x-4[7+(2x-4)], for x=-3
with shown work please
Answer: -3
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given information
x= -3
Given expression
5x - 4 [7 + (2x - 4)]
Substitute x value into the expression
=5(-3) - 4 [7 + (2(-3) - 4)]
Simplify by multiplication
=-15 - 4 [7 + (-6 - 4)]
Simplify value in parentheses
=-15 - 4 [7 + (-10)]
Simplify value in bracket
=-15 - 4 [-3]
Simplify by multiplication
=-15 - (-12)
=-15 + 12
=[tex]\boxed{-3}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
solve for u 2(4u-9)=14
plzzzz
will give brailiest
Answer:
4 is the answer
Step-by-step explanation:
2 (4u-9)=14
8u-18=14
8u=14+18
8u =32
divide by 8
u=4 answer
Can someone help me on this please.
Nikki's cousin lives 60 miles away, so Nikki decided
to take the train to visit him. If the trip took
2 hours, how many miles per hour did the train
travel?
Answer:
30
Step-by-step explanation:
just divide 60 by 2
If the distance between Nikki's cousin and Nikki is 60 miles and covered in 2 hours then the speed of the train is 30 miles per hour.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]
Nikki's cousin lives 60 miles away, so Nikki decided to take the train to visit him. If the trip took 2 hours. Then the speed of the train will be
[tex]\rm Speed = \dfrac{60}{2}\\\\Speed = 30 \ miles/hour[/tex]
More about the speed link is given below.
https://brainly.com/question/7359669
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8 more than a number is 14. Find the number
Answer:
the answer is 6
Step-by-step explanation:
14 minus 8 is 6
5x - 7.4 (x - 3) + 8.1
Answer:
-2.4x + 30.3
Step-by-step explanation:
5x - 7.4 (x - 3) + 8.1
5x - 7.4x + 22.2 + 8.1
-2.4x + 30.3
If ∠MOK and ∠JOM are supplementary angles, then what is the value of x and m∠LOK?
A.
x = 130; m∠LOK = 66°
B.
x = 50; m∠LOK = 114°
C.
x = 114; m∠LOK = 50°
D.
x = 66; m∠LOK = 130°
Answer:
B
Step-by-step explanation:
Note that angle JOM and angle LOK are vertical angles meaning that they are congruent ( equal to each other )
We are given that angle MOK and angle JOM are supplementary
Supplementary angles add up to 180
This means that:
angle MOK + angle JOM = 180
If angle JOM = angle LOK
Then angle MOK + angle LOK also = 180
If angle MOK = 66 and angle LOK = x + 64
Then 66 + x + 64 = 180
Note that we've just created an equation that we can use to solve for x
We now solve for x
66 + x + 64 = 180
Combine like terms
66 + 64 = 130
130 + x = 180
Subtract 130 from both sides
x = 50
We also want to find the measure of angle LOK.
To do so we simply plug in the value of x into x + 64
angle LOK = x + 64
x = 50
angle LOK = 50 + 64 = 114
So x = 50 and angle LOK = 114
Hence the answer is B
got some math for yall
Answer:
option A is correct answer
THE father is 20 years older than his son five years ago he was three times as old as his son was find their present ages (STEP BY STEP PLZ) (HOPE U ENJOY IT)
Plz Help!!
Kim is planning to rent a bike. It costs $15 per day plus $5 per hour. Kim's total bill was $100, how many hours did she rent the bike?
Answer:
17 hours
Step-by-step explanation:
total cost = fee + cost per hour * hours
100 = 15 + 5h
Subtract 15 from each side
100-15 = 5h
85 = 5h
Divide by 5
85/5 = 5h/5
17 =h
Answer:
Kim rent the bike for 17 hours.
Step-by-step explanation:
h=hours
15 + 5h = 100
Subtract 15 on both sides.
5h = 85
Divide 5 on both sides.
h = 17
23. The table shows the number of hours a group of friends
worked doing various jobs and the amount each earned.
Select the correct hourly rate to complete the table. Then
place a checkmark in the row for the person who had the
greatest hourly rate.
Hours
Amount Earnings Greatest
Worked Earned (s) per hour ($) Hourly Rate?
36.25
Caleb
5
Jeremy
7.5
65.25
Maria
4.25
34.00
Rosa
8
54.00
Use the figure below to answer these questions
Answer:
thus is so easy
Step-by-step explanation:
too easy
V=s^2h/3
Find the volume of a square pyramid If ‘s’ is increased by 30% and ‘h’ remains constant
Answer:
1.69s^2h/3.
Step-by-step explanation:
New s = 1.3s
New volume = (1.3s)^2h /3
= 1.69s^2h/3.
Addison owes his mom $39. He earned $30 for mowing his neighbors lawn and then lent his sister $21. Which expression represents Addison's financial situation?
A. -39 - 30 - 21
B. -39 + 30 - 21
C. 39 - 30 + 21
D. 39 + 30 + 21
Answer:
B
Step-by-step explanation:
because he owes that automatically negative .
he also earns 30 plus dollars
and he gave away 21 dollars and giving away is taking away .
if x:14= 1:7, find x. P
Answer:
2
Step-by-step explanation:
x:14 = 1:7
x/14 = 1/7
x = 14/7
=> x = 2
Solve for x: −3x − 3= −3(x + 1)
Question 4 options:
All real numbers
No solution
6
−6
Answer:
all real numbers
Step-by-step explanation:
The equation of x has No solution.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given equation is,
−3x − 3 = −3(x + 1)
Expanding the brackets we get,
−3x − 3 = −3x − 3
Collecting like terms together we get,
−3x + 3x = −3 + 3
Solving we get,
0 = 0
So, this equation has no solution.
Thus, the equation of x has No solution.
To learn more about equations here :
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A jar contains some number of pennies. When pennies are removed 2, 3, 4, 5, 6 or 8 at a
time, one penny is left over. There are no pennies left over when they are removed 7 at a
time. What is the least number of pennies that could be in the jar?
Answer:
721.
Step-by-step explanation:
The total number must be a multiple of 7
One less than the number is the LCM of 2 3 4 5 6 and 8.
The LCM is worked out as follows
2
3
4 = 2*2
5
6 = 2*3
8 = 2*2*2
LCM = 2*2*2* 3*5 = 120
But 121 is not divisible by 7 so it must be a multiple of 120 + 1 which is divisible by 7.
240 + 1 = 241 - not divisible by 7
480 + 1 = 481 - not divisible by 7
720 + 1 = 721
721/7 = 103
Answer:
Step-by-step explanation:
Let say n the number of pennies in the jar.
n is a multiple of 7 : n=7*k
n-1 is a multiple of 2,3,4,5,6,8 so a multiple of the lcm= 120
n-1=120*t
n-1=120*t
n=7*k
120*t=7k-1
7k=120*t+1
[tex]k=\dfrac{120*t+1}{7}\\k=17*t+\dfrac{t+1}{7}\\t=6+7*a\\k=17*(6+7a)+\frac{6+7*a+1}{7} =102+119*a+1+a=103+120*a\\n=7*k=7*(103+120*a)=721+840a\\\\[/tex]
The least number of pennies is 721 (when a=0)
Proof:
n-1=720
720/2=360
720/3=240
720/4=180
720/5=144
720/8=90
721/7=103
5. Resolve into factors. a) 2x + 5x + 3
please do this
Hi there!
[tex]\large\boxed{(2x + 3)(x + 1)}[/tex]
We can split into factors using the "guess and check" method.
Factors are in the format of:
(ax + b)(cx + d), where in this instance:
a · c = 2
bc + da = 5
b · d = 3
Thus, we get:
(2x + 3)(x + 1)
Answer:
2x^2 +5x +3 3*2 =6 and 3+2 = 5
2x2 +2x +3x +3
2x(x +1) + 3(x+1)
(x+1)(2x+3)
Step-by-step explanation:
Is the following number rational?
-.19
find the GCF of 3,14,5?
Factors for 3: 1 and 3
Factors for 5: 1 and 5
Factors for 14: 1, 2, 7, and 14
Answer:
1
Step-by-step explanation:
Factors for 3: 1 and 3
Factors for 5: 1 and 5
Factors for 14: 1, 2, 7, and 14
Since 1 is the greatest common factor in 3,5,14 ,
GCF = 1
Solve the equation.
30- (x + 5) = 7x-7
The solution is x =
Answer:
[tex] - 30(x + 5) = 7x - 7 \\ - 30x - 150 = 7x - 7 \\ 7x + 30x = - 150 + 7 \\ 37x = - 143 \\ x = \frac{ - 143}{37} \\ x = - 3.864[/tex]
________o____o_____
30–(x+5)=7x-7
30 – x–5 =7x -7
7x+x = 30-5+7
8x = 32
x= 32/8
x=4
I hope I helped you^_^
The area of a cuboid = 2 (lb + bh + lh) and volume = l*b*h. Find the area and volume of these cuboids.
I) l =7 cm,b= 5 cm,h=3 cm
please help me with this question step by step I have to submit it in 10. minutes I will mark you as brainlist
Answer:
Area = 142 cm^2, Volume = 105 cm^3
BRAINLIEST, PLEASE! (ALMOST AN ACE!)
Step-by-step explanation:
Area: lb + bh + lh
l = 7, b = 5, h = 3
2((7)(5) + (5)(3) + (7)(3))
2(35 + 15 + 21)
2(50 + 21)
2(71)
142 cm^2
Volume: lbh
l = 7, b = 5, h = 3
(7)(5)(3)
35(3)
105 cm^3
Which equation represents a line which is parallel to the x-axis?
y = x - 1
y = 8
x = - 5
x = - 3y
Answer:
y = 8
Step-by-step explanation:
The equation of a line parallel to the x- axis has equation
y = c
where c is the value of the y- coordinates the line passes through.
Then
y = 8 ← is equation of line parallel to the x- axis
If the perimeter of a rectangle
is 124m & the width is 35m,
what is the length?
Let length be x
ATQ
[tex]\\ \sf\longmapsto 2(Length+Width)=124[/tex]
[tex]\\ \sf\longmapsto 2(x+35)=124[/tex]
[tex]\\ \sf\longmapsto 2x+70=124[/tex]
[tex]\\ \sf\longmapsto 2x=124-70[/tex]
[tex]\\ \sf\longmapsto 2x=54[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{54}{2}[/tex]
[tex]\\ \sf\longmapsto x=27m[/tex]