Answer:
all vertices on the two lines=60+36=96
Step-by-step explanation:
line a has 6 points and line b has 4 points
now each triangle drawn has on vertices on one line and two vertices on another line:
the line with six points :C(6,2) six points , has two vertices
C(6,2)=6*5/2*1=30/2=15 pairs of points
each pair connected to one point on the other line (4 points)
4*15=60 vertices
now let us consider the two lines on the other line with 4 points:
6c(4,2)=6*((4*3(/2))=6*6=36 vertices
all vertices on the two lines=60+36=96
What is the measure of 2
Answer: C. 90ᴼ
Step-by-step explanation:
This is an equilateral triangle because all three sides are congruent. Equilateral triangles also have 3 congruent angles.
The sum of each angle of a triangle equals 180ᴼ and there are 3 congruent angles.
180 / 3 = 60
Each angle measures 60ᴼ
Find the area of triangle ABC whose vertices are
A (-5, 7), B (-4, -5) and C (4, 5).
Answer:
[tex]Area = 51\:unit^2[/tex]
Step-by-step explanation:
[tex]Area = \sqrt{p(p-a)(p-b)(p-c)}\quad and \quad p=\frac{a+b+c}{2}[/tex]
Find the distance between three points.
[tex]\overline{AB}=\sqrt{\left(-4-\left(-5\right)\right)^2+\left(-5-7\right)^2}=12\\\\\overline{BC}=\sqrt{\left(4-\left(-4\right)\right)^2+\left(5-\left(-5\right)\right)^2}=12.8\\\\\overline{AC}=\sqrt{\left(4-\left(-5\right)\right)^2+\left(5-7\right)^2}=9.2[/tex]
[tex]p=\frac{12+12.5+9.2}{2}=16.9[/tex]
[tex]Area = \sqrt{16.9\left(16.9-12\right)\left(16.9-12.8\right)\left(16.9-9.2\right)}\\\\=51\:unit^2[/tex]
Best Regards!
Answer:
53 sq.unitssolution,
A(-5,7)--->(X1,y1)
B(-4,-5)-->(x2,y2)
C(4,5)--->(X3,y3)
Now,
Area of triangle:
[tex] \frac{1}{2} (x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) \\ = \frac{1}{2} ( - 5( - 5 - 5) + ( - 4)(5 - 7) + 4(7 - ( - 5) \\ = \frac{1}{2} ( - 5 \times ( - 10) + ( - 4) \times ( - 2) + 4 \times 12) \\ = \frac{1}{2} (50 + 8 + 48) \\ = \frac{1}{2} \times 106 \\ = \frac{106}{2} \\ = 53[/tex]
hope this helps...
Good luck on your assignment..
Find the measure in degrees of angle MKL.
M
N
155°
?
КК
75°
U
L
Answer:
mMKL = 115°
Step-by-step explanation:
Using the property of intersecting chords in a circle, we have that one angle in the intersecting point is the average of the arcs intercepted by the angle and its vertical angle.
So, to find the measure of the angle MKL, we have:
mMKL = (1/2) * (mML + mNU)
mMKL = (1/2) * (155 + 75)
mMKL = (1/2) * (230)
mMKL = 115°
I need help with this
Answer:
44
Step-by-step explanation:
MRQ=136
In a straight line there is 180 degrees
180-136=44
MRS=44 degrees
alternates angle is a z shape so NMRS is one
So you then RMP is 44 degrees.
Hope it helps just tryed
Please answer the question now in two minutes
Answer:
the first three options
Step-by-step explanation:
they all have shared points
Jenny is solving the equation 3 x + 5 = 4 x + 2 using algebra tiles. She cannot decide if she should add 3 negative x-tiles or add 2 negative unit tiles to both sides first. Which explains which Jenny should do first?
Jenny could technically do any of them, first or second. It doesn't matter, as long as you do the same to both sides, the two sides are still equal
Answer:
C
Step-by-step explanation:
correct on edgen i took the test
what is the answer of this question ?
Answer:
Length = 51 centimeters
Width = 19 centimeters
Step-by-step explanation:
Length = l
Width = w
Length is 3w - 6
l = 3w - 6
P = 2l + 2w
The perimeter is given, plug in the values.
140 = 2(3w - 6) + 2w
140 = 6w - 12 + 2w
140 + 12 = 8w
152 = 8w
w = 19
The width is 19cm.
l = 3w - 6
l = 3(19) - 6
l = 57-6
l = 51
The length is 51 cm.
Answer:
[tex]\boxed{\red{width = 19 cm} }\\ \boxed{\red{
length = 3x-6}} \\
\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\red{= 51 cm}}
[/tex]
Step-by-step explanation:
let the width be x
Let's find the length
[tex]3x - 6[/tex]
Perimeter of a rectangle
[tex]p = 2(length + width) \\ p = 2(3x - 6 + x) \\ p = 6x - 12 + 2x \\ p = 8x - 12 \\ [/tex]
given that,
[tex]p = 140[/tex]
so,
[tex]140 = 8x - 12 \\ 140 + 12 = 8x \\ 152 = 8x \\ x = 19[/tex]
therefore,
width = 19 cm
length = 3x-6
= 51 cm
Find the sum and the product of the roots of the equation: y^2+41y−371=0
Answer:
y
=
−
41
−
√
3165
2
,
−
41
+
√
3165
2
Decimal Form:
y
=
7.62916635
…
,
−
48.62916635
…
Step-by-step explanation:
which ordered pair is a solution to the inequalities graphed here?
Answer:
A. (1, 4)
Step-by-step explanation:
The solution to the systems of inequalities has to be in the shaded region. Therefore, A is the correct answer.
Answer: Its the FIRST option .
Step-by-step explanation: Please mark as Brainliest. :)
The sum of the squares of three consecutive even integers is 980. Determine the integers.
Answer:
16, 18, 20
Step-by-step explanation:
We can estimate that the square of the middle integer will be about 1/3 of 980. Then the middle integer is about ...
√(980/3) ≈ 18.09
The integers are 16, 18, 20.
_____
Check
16^2 +18^2 +20^2 = 256 +324 +400 = 980
Answer:
16, 18, 20
Step-by-step explanation:
Let the three consecutive even integers be (x - 2), x, (x + 2)
[tex] \therefore \: {(x -2 )}^{2} + {x}^{2} + {(x + 2)}^{2} = 980 \\ \therefore \: {x}^{2} - 4x + 4 + {x}^{2} + {x}^{2} + 4x + 4 = 980 \\ \therefore \: 3{x}^{2} + 8 = 980 \\ \therefore \: 3{x}^{2} = 980 - 8 \\ \therefore \: 3{x}^{2} = 972 \\ \\ \therefore \: {x}^{2} = \frac{972}{3} \\ \\ \therefore \: {x}^{2} = 324 \\ \therefore \: x = \pm \sqrt{324} \\ \therefore \: x = \pm \: 18 \\ \because \: x \: is \: even \: integer \\ \therefore \: x \neq - 18 \\ \therefore \: x = 18 \\ \\ x - 2 = 18 - 2 = 16 \\ x = 18 \\ x + 2 = 18 + 2 = 20 \\ [/tex]
Hence, three consecutive even integers are : 16, 18, 20.
Please answer it now in two minutes
Answer:
y = 1/5x - 6/5
Step-by-step explanation:
Step 1: Write out known variables
m = 1/5
y = 1/5x + b
Step 2: Find b
-1 = 1/5(1) + b
-1 = 1/5 + b
b = -6/5
Step 3: Write linear equation
y = 1/5x - 6/5
HELLLLP!!!!!!!! 20 points!!!! Jeannie works 5 hours on Tuesday, 3 hours on Wednesday, and 4.5 hours on Thursday. If h represents her hourly pay rate, which expression below shows the amount she earned? 12.5 12.5h 12.5 + h StartFraction 12.5 Over h EndFraction
Answer:
12.5h
Step-by-step explanation:
add all of the hours up
since h is the pay and unknown place h after the hours
Express the following numbers in standard form. [A] 509.78 [B] 0.0289 Can someone please help me ? I need to answer that question by 12.00 PM. Help me please.
Answer:
(A) 509.78
We need to move the decimal point after the first non-zero digit
So,
=> 5.0978 × 10² (Since the decimal point is moved two places to the left)
(B) 0.0289
Again after the first non-zero digit:
So, it becomes:
=> 2.89 × 10⁻² (Since the decimal point is moved 2 places to the right so it will be negative also)
Answer:
[A] 5.0978 × 10²
[B] 2.89 × 10⁻²
Step-by-step explanation:
The decimal point must be after the first non-zero digit of the number.
5.0978
The decimal needs to be multiplied by a number that leads to 509.78. That number is 100 or 10².
5.0978 × 10²
Once again, the decimal point must be after the first non-zero digit of the number.
2.89
The decimal needs to be multiplied by a number that leads to 0.0289. That number is 0.01 or 10⁻².
2.89 × 10⁻²
PLEASE ANSWER THESE TWO GEOMETRY QUESTIONS ASAP FOR ME PLEASE!!
Answer:
~101.5 (area of the shaded area in upper figure)
and
~54.4 (area of the shaded area in lower figure)
Step-by-step explanation:
I attached an image for clarification (please see).
The same approach can be applied to solve these two problems.
As seen in attached image, the shaded area of the 1st figure is the sum of the area of a regular triangle and 3 equal portions.
The area of the regular triangle with side = 12 is:
A1 = side^2 x sqrt(3)/4 = 12^2 x sqrt(3)/4 = 36sqrt(3)
The area of the regular triangle + the area of a portion is:
A2 = pi x radius^2 x (pi/3)/(2pi) = pi x 12^2 x (1/6) = 24pi
=> The area of a porition is:
A3 = A2 - A1 = 24pi - 36sqrt(3)
=> Area of the shade area:
A4 = A1 + 3 x A3 = 36sqrt(3) + 3 x (24pi - 36sqrt(3)) = ~101.5
**************************
For the second figure, the shaded area could be divided into 6 equal parts, each part is inside a regular triangle and is calculated by:
A = the area of the regular triangle - the area of 2 equal portions (white color).
The area of the regular triangle with side = 6 is:
A1 = side^2 x sqrt(3)/4 = 6^2 x sqrt(3)/4 = 9sqrt(3)
The area of the regular triangle + the area of a portion is:
A2 = pi x radius^2 x (pi/3)/(2pi) = pi x 6^2 x (1/6) = 6pi
=> The area of a porition is:
A3 = A2 - A1 = 6pi - 9sqrt(3)
=> Area of a part (including the regular triangle and excluding 2 equal portions):
A4 = A1 - 2 x A3 = 9sqrt(3) - 2 x (6pi - 9sqrt(3))
=> Area of shaded area:
A5 = 6 x A4 = 6 x [9sqrt(3) - 2 x (6pi - 9sqrt(3)) ] =~54.4
Which expression simplifies to 4 √13
√208
√17
√29
√52
Answer:
√208
Step-by-step explanation:
Step 1: Convert 4 to √
4² = 16
4 = √16
Step 2: Multiply radicals
√16(√13) = √208
Answer:
[tex]\sqrt{208}[/tex]
Step-by-step explanation:
Getting this answer can simply be achieved by process of elimination. I started dividing [tex]\sqrt{208}[/tex] by numbers that I knew had perfect squares, and eventually I found 16.
[tex]\sqrt{208}[/tex]
/\
[tex]\sqrt{16}[/tex] [tex]\sqrt{13}[/tex]
[tex]4\sqrt{13}[/tex]
As you can see above once I got 16 and 13, I found the square root of 16, which was four, and I checked to see if I could find the square root of 13 as well, but unlike 16 it doe snot have a perfect square.
A polyhedron has 6 faces and 8 vertices. how many edges does it have?
Answer:
12 Edges.
hope you rate me well
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Euler's formula for polyhedra states
F + V - E = 2
where F is faces, V is vertices and E is edges
Here F = 6, V = 8, thus
6 + 8 - E = 2, that is
14 - E = 2 ( subtract 14 from both sides )
- E = - 12 ( multiply both sides by - 1 )
E = 12 ← number of edges
What is the percent equivalent for 1/5? A. 0.2% B. 0.5% C. 20% D. 50%
Answer:
20%
Step-by-step explanation:
1/5 = 2/10. 2/10 = 0.2, or 20 hunderedths, or 20%.
Blanca runs 8 laps around the track each day to train for an endurance race. She times each lap to practice her pacing for the race. The table shows the lap times, in seconds, for three days of practice. URGENT
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Mr. sanders recorded the amount he spent on gas each month to see if it would be cheaper to take the train to work. According to the table, what was the rate of change between January and May? Answers A) $67 Per Month B) $50 Per Month C) $53 Per Month D) $0 Per Month
Answer:
D) $0 Per Month.
Step-by-step explanation:
In January, Mr. Sanders spent $50 on gas. In May, Mr. Sanders spent $50 on gas. The amount that he spent on gas did not change from January to May, so the rate of change between January and May is D) $0 Per Month.
Hope this helps!
Is (8, 1) a solution to the equation y = x?
Yes or No
Answer:
no
Step-by-step explanation:
Substitute the point into the equation
y=8
1 =8
This is not true so the point is not a solution
Answer:
No
Step-by-step explanation:
To test whether an ordered pair is a solution of an equation, we simply plug in the x-coordinate in for x and the y-coordinate in for y and then examine the outcome to see if the resulting equation is true.
Here, substitute 8 in for x and 1 in for y:
y = x
1 = 8
Clearly, we see that 1 is NOT equal to 8, which means (8, 1) is not a solution to the equation y = x.
Thus, the answer is no.
~ an aesthetics lover
Select the correct answer.
Based on the data in this two-way table, if a girl is randomly selected, what is the probability that she will have above-average grades?
Gender/Grade Below Average Above Average Total
Boy 14 23 37
Girl 16 22 38
Total 30 45 75
A.
0.29
B.
0.51
C.
0.58
D.
0.60
Answer:
Answer is C. 0.58
Step-by-step explanation:
22/38 = 0.57 something rounded to 58
A collection of nickels and quarters has a total value of three dollars and contains 32 coins. Which of the following systems of equations could be used to find the number of each coin?
Answer:
[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]
Step-by-step explanation:
Given that there is a collection of nickels and quarters.
Let N be the number of coins of nickels and
Q be the number of coins of quarters.
It is given that total number of coins are 32.
Number of coins of nickels + Number of coins of quarters = 32
[tex]\therefore \bold{N+Q=32}[/tex] is the first equation.
Now, we know that value of a one quarter coin is 25 cents or [tex]\$\frac{25}{100} = \$0.25[/tex]
and value of a one nickel coin = 5 cents = $0.05
Total value of all nickel coins = Number of nickel coins [tex]\times[/tex] value of one nickel coin = [tex].05N[/tex]
Similarly,
Total value of all quarter coins = Number of quarter coins [tex]\times[/tex] value of one quarter coin = [tex].25Q[/tex]
Total value of coins is 3 dollars.
[tex]\therefore \bold{.05N + .25Q = 3.00}[/tex] is the second equation.
So, the answer is:
[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]
Students in four of Ms. Peters’s classes were surveyed about their favorite type of movie. The results are as follows: Class 1: Action - 12, Comedy - 13, Drama - 6 Class 2: Action - 9, Comedy - 11, Drama - 11 Class 3: Action - 8, Comedy - 15, Drama - 7 Class 4: Action - 11, Comedy - 4, Drama - 18 8. Create a two-way table to organize the data. 9. What is the probability that a randomly selected student in Ms. Peters’s first class prefers comedies? 10. What is the probability that a randomly selected student is in Ms. Peters’s second class or prefers action movies?
Answer: (a) Refer to picture attached
(b) Probability that randomly selected student in class 1 prefers comedies is 42%
(c) Probability that randomly selected student in class 2 prefers action movies is 29%
Step-by-step explanation: Please refer to the picture attached for the required two-way table.
For the first class, that is class 1, you need to calculate the probability that a randomly selected student prefers comedies. A probability can be expressed as follows;
P(comedies) = Number of required events / Number of possible outcomes
P(comedies) = 13/31
P(comedies) = 0.419354
Therefore the probability that a student selected randomly from Ms Peter's first class prefers comedies is 0.4193 (approximately 0.42) or 42%.
For the second class, that is class 2, you need to calculate the probability that a randomly selected student prefers action movies. The probability thus is expressed as;
P(Action) = Number of required events / Number of possible outcomes
P(Action) = 9/31
P(Action) = 0.290322
Therefore the probability that a student randomly selected from Ms Peter's second class prefers action movies is approximately 0.29 or 29%.
HELPPPPPPPPPP!!!!! PLEASE
Answer:
m∠ABD + m∠DBC = m∠ABC
ABD added to DBC equals ABC. Put in the given values of each angle to figure out the equation.
76° + 68° = 144°
m∠ABC = 144°
I hope that helped answer your question! :-)
I'm not sure if I clicked the right answer, I hope you can help me :D
--The sum of two numbers is 33. One number is 2 times as large as the other. What are the numbers?
Answer:
11 and 22
Step-by-step explanation:
Let x be the first number
the second number is twice the first one so it's 2x
The equation is
2x+x =333x = 33 divide by 3 in each side x = 33/3 x= 11so the first number is 11 and the second one 22 (11*2)
Answer:
2x + x =33
Step-by-step explanation:
let the number be ''x''
the other number is 2 times as large, so it is 2x
their sum is 33
2x + x = 33find the value of x
2x + x = 33
3x = 33
3x= 33
x = 33/3 (divide 3 on both sides )
x = 11
apply the value of x
2 (11) + 11 = 33
22 + 11 = 33
solve the equation for x. square root of x+4-7=1 A. x=4 B.x=12 C. x=60 D.x=68
Answer:
x = 60 (Answer C)
Step-by-step explanation:
Ambiguous. I will assume that you meant:
x+4-7=1 => √(x + 4) - 7 = 1
This latter result simplifies to
√(x + 4) = 8
Squaring both sides, we get: x + 4 = 64, or x = 60 (Answer C)
The value of x is 4.
Option A is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
√(x + 4 - 7) = 1
Square on both sides.
x + 4 - 7 = 1²
x + 4 - 7 = 1
Add 7 on both sides.
x + 4 = 1 + 7
x = 8
Subtract 4 on both sides.
x + 4 - 4 = 8 - 4
x = 4
Thus,
The value of x is 4.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ5
is 4,8,10 pithogoreon triplet
Answer:
no
Step-by-step explanation:
Since 4² + 8² = 10² is a false statement, 4, 8, 10 is not a Pythagorean Triple.
use the digits 3,5 and 6 only to complete these calculations. you can use each digit more than once.??.?+??.?=100
Answer:
35 and 65
Step-by-step explanation:
35 + 65 = 100
Answer:
36.5 +63.5 = 100 Hope it helps......All atoms of the same element:
O have the same number of atoms
O have the same number of neutrons
O have the same number of electrons
have the same number of protons
Answer:
last one
Step-by-step explanation:
All atoms of the same element will always have the same atomic number and since atomic number indicates the amount of protons in its nucleus the answer is "have the same number of protons).
Answer: The last one
Step-by-step explanation:
All atoms have to have the same number of electrons or else they are not classified as that element.