Answer:
x= 42
Step-by-step explanation:
3x+ 54=180
straight angle is 180
So just solve the equation.
subtract 54 on both sides.
126=3x
divide that by 3, and you get 42.
check You answer by multiplying 42 And 3, Which basically Is 126
and then 126+54
which is then 180
I hope this Helps!
Sami leave his house at 3:45 PM and walks to karlas house in 15 minutes he stays at karlas house for five minutes and then walks to the library in 10 minutes when does Sami arrive at the library
Drag each tile to the correct box.
Arrange the matrices in increasing order of their determinant values.
Answer:
Order of the Matrix will be
[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]
Step-by-step explanation:
Given - The matrices are -
[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]
To find - Arrange the matrices in increasing order of their determinant values.
Proof -
Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex] is
= (2)(4) - (6)(3)
= 8 - 18
= -10
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex] = -10
Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] is
= (-2)(9) - (-7)(5)
= -18 + 35
= 17
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] = 17
Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex] is
= (6)(-8) - (6)(5)
= -48 - 30
= -78
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex] = -78
Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] is
= (2)(-5) - (4)(5)
= -10 - 20
= -30
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] = -30
Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] is
= (2)(4) - (5)(-2)
= 8 + 10
= 18
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] = 18
Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex] is
= (4)(2) - (-3)(5)
= 8 + 15
= 23
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex] = 23
Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex] is
= (3)(6) - (2)(4)
= 18 - 8
= 10
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex] = 10
Now,
Increasing order of Determinant is -
-78 < -30 < -10 < 10 < 17 < 18 < 23
So,
Order of the Matrix will be
[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]
Answer:
Correct on Edmentum
Step-by-step explanation:
PLEASE HELP QUICK
is the answer.
A: 9
b: 16
c: 8
d: 17
Answer:
D:17
Step-by-step explanation:
Answer:
D :17
Step-by-step explanation:
:)
Suppose you have a bag of colored plastic disks and you choose one without looking. The probability the disk you choose is yellowyellow is P(yellowyellow)equals=StartFraction 5 Over 25 EndFraction
5
25. Write this probability as a decimal. Use a word or phrase to describe this probability.
Answer: 0.2
Step-by-step explanation:
Since the probability that the disk chosen is 5/25, thus can be written in decimal as 0.2.
This means that in a bag of 15 colored plastics discs with different colors, the probability of picking a yellow colored disk is 0.2.
Find the value of RT
Answer:
[tex]RT=7[/tex]
Step-by-step explanation:
[tex]RQ*RP=RS*RT[/tex]
[tex]9*(9+13)=11(11+x)[/tex][tex]9*\frac{22^2}{11} =\frac{11}{11} =(11+x)[/tex][tex]18=11+x[/tex] ⇒ [tex]7[/tex]✄┈┈┈┈┈┈┈┈┈«
┍━━━━ ⋆⋅☆⋅⋆ ━━━━┑
hope it helps..
have a great day!!
┕━━━━ ⋆⋅☆⋅⋆ ━━━━┙
is greater than or equal to, minus, 5.
Answer:
x≥-5
Step-by-step explanation:
x
How many pieces of wire 2½ cm long, can be cut from a roll of wire 58 cm long?
No links please.
Step-by-step explanation:
Break it into steps you can better understand
2 1/2 = 2.50cm
You want to take as many 2.50 cm pieces as possible so you cut one off.
58 - 2.50 = 55.5
and another
55.5-2.50 = 53
and so on...
Instead of subtracting like this, we use division
58 / 2.5
when you divide, this tells you how many 2.50cm pieces you can cut from a total length of 58cm
Answer: 23
Step-by-step explanation: 2.5 x 23 = 57.5
I need brainliest for the next rank I’d appreciate it
Please help and show work!
Answer:
x = 3
Step-by-step explanation:
Two triangles are similar
x/(x+3) = 4/8 cross multiply expressions
8x = 4x + 12
8x - 4x = 12
4x = 12 divide both sides by 4
x = 3
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measures of the 2 acute angles of the triangle. If the measures, in degrees, of the three angles of a triangle are x, , and , the triangle must be
Given:
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.
To find:
The measures of the 2 acute angles of the triangle.
Solution:
Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,
[tex]x+(2x+12)+90=180[/tex]
[tex]3x+102=180[/tex]
[tex]3x=180-102[/tex]
[tex]3x=78[/tex]
Divide both sides by 3.
[tex]x=\dfrac{78}{3}[/tex]
[tex]x=26[/tex]
The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:
[tex]2x+12=2(26)+12[/tex]
[tex]2x+12=52+12[/tex]
[tex]2x+12=64[/tex]
Therefore, the measures of two acute angles are 26° and 64° respectively.
Natasha and Richard are marking exam papers. Each set takes Natasha 45 minutes and
Richard 1 hour. Express the times Natasha and Richard take as a ratio.
Give your answer in its simplest form.
Answer:
4:3 Natasha is 3 and Richard is 4.
Step-by-step explanation:
60/45=4/3
hi luv pls help <3
A) the angles are alternate exterior angles
B) the angles are supplememtary angles
C) the angles are vertical angles
D) the angles are corresponding angles
Answer:
A
Step-by-step explanation:
The angles are on a opposite side of the the transversal.
What is the converted metric unit for 75 cm
Answer:
To inches?
Step-by-step explanation:
75 cm = is about like 30 inches
The shaded parts of the models below represent a fraction. What is the sum of the fractions?
1.8(x-4.2)+x plz help
Answer:
1.8x - 7.56 + x
Step-by-step explanation:
1.8(x - 4.2) + x
1.8x - 7.56 + x
Please Help! The graph of y=f(x) is shown below. What are all of the real solutions of f(x)=0? (Picture of graph included)
Answer:
(7, 0), (-8, 0), (0, 0)
Step-by-step explanation:
y = f(x) = 0
the real solutions are the ones that cross the x-axis because when a point is on the x-axis, its y coordinate will be 0.
=> (7, 0), (-8, 0), (0, 0)
Advertising A bank manager wants to encourage new customers to open accounts with principals of
at least $2,500. He decides to make a poster advertising a simple interest rate of 3%. What must the
principal be if the bank manager also wants to advertise that one can eam $10 the first month? Can
the poster correctly say, "Open an account of $2,500 and earn at least $10 interest in 1 month!"?
Explain your answer (be careful he said 1 MONTH).
Answer:
The poster say, "Open an account of $3,500 and earn at least $10 interest in 1 month!" is correct
Step-by-step explanation:
Given, A bank manager wants to encourage new customers to open accounts with principals of at least $3,500.
He decides to make a poster advertising a simple interest rate of 4.8%.
We have to find what must the principal be if the bank manager also wants to advertise that one can earn $10 the first month
We know that, banks offer simple interest
In our problem, simple interest = $10, rate = 4.8%, time = 1 month
Let us see Can the poster correctly say, "Open an account of $3,500 and earn at least $10 interest in 1 month!"?
So now, in our problem, amount = $3500, rate = 4.8% and time = 1 month =
So, the statement is correct.
Hence, amount to be invested is $2500 and poster says correctly.
PLSSS HELP GIVING BRAINLIEST
Mr. Fowler's science class grew two different varieties of plants as part of an experiment. When the plant samples were fully grown, they compared their heights. Plant variety Height of plant (inches) Mean Mean absolute deviation (inches) Variety A 23, 21, 18, 10, 23 19 4 Variety B 18, 11, 13, 13, 15 14 2 Based on these data, which statement is true? O A. Variety A always grows taller than variety B. B. The average height of variety A is greater and varies more than that of variety B. O C. The average height of variety A is greater but varies less than that of variety B. O D. The maximum height of variety B is greater than that of variety A.
Answer:
the answer is B!
Step-by-step explanation:
i just took the exam!! i came here looking for an answer but decided to try it on my own since i couldnt find one.
PLEASE ANSWER ALL OF THESE 4 ME IM GIVING OUT BRAINLIEST AND 50 POINTS !!! D:
Answer and Step-by-step explanation:
1.
4 yards plus 8 yards equals 12 yards.
2 feet plus 2 feet equals 4 feet.
This totals to 12 yards and 4 feet.
2.
29 feet plus 5 feet equals 34 feet.
6 inches plus 5 inches equals 11 inches.
This totals to 34' 11".
3.
10:30AM
4.
0113
5.
1445
#teamtrees #PAW (Plant And Water)
What is the range of the ordered pairs shown in the graph?
{–4, –3, –2, –1}
{–4, –3, 1, 3}
{–5, –3, –2, 3}
{–5, –3, 1, 3}
Answer:
x = [-4, -1]
y=[-5, 3]
Step-by-step explanation:
Range is the space where all points fall between.
Ill give brainliest.
Answer:
45/28
Step-by-step explanation:
tan∅ = opp/adj
tanE = 45/28
Determine the angles of rotation. (CHOOSE ALL ANSWERS THAT APPLY)
A.) 90° clockwise
B.)90° counterclockwise
C.)180°
D.)270° clockwise
E.)270° counterclockwise
Answer:
a.
Step-by-step explanation:
In the diagram, O is circumscribed about quadrilateral ABCD. What is m<B?
Answer:
B; 94 degrees
Step-by-step explanation:
From the diagram, what we have is a cyclic quadrilateral
For a cyclic quadrilateral, opposite angles are supplementary
That means;
They add up to give 180 degrees
Mathematically;
angle D + angle B = 180
angle B = 180 - angle D
angle B = 180-86
angle B = 94 degrees
Any help is useful
Equilateral triangle with a side of 16mm and was 155 mm long
Answer:
Step-by-step explanation:
SOMEONE PLZ HELP ME T_T
Answer:
7x - 1
Step-by-step explanation:
Whole rectangle:
Length = x + 5
Width = x - 1
Area of the whole triangle = length × width
= (x + 5) (x - 1)
= x² - x + 5x - 5
= x² + 4x - 5
Unshaded rectangle:
Length = x + 1
Width = x - 4
Area of the unshaded rectangle = length × width
= (x + 1) (x - 4)
= x² - 4x + x - 4
= x² - 3x - 4
Area of the shaded region = Area of the whole rectangle - Area of the unshaded rectangle
= (x² + 4x - 5) - (x² - 3x - 4)
= x² + 4x - 5 - x² + 3x + 4
= 7x - 1
Area of the shaded region = 7x - 1
Write 2 equivalent expressions w/ negative signs in different places.
a) [tex]\frac{-x}{5}[/tex] b) [tex]\frac{-14}{y}[/tex]
c) [tex]\frac{a}{b}[/tex] d) [tex]\frac{c}{-y}[/tex]
The third expression is supposed to be all around negative, but I couldn't add the sign.
Answer:
2 equivalent expressions w/ negative signs in different places.
a) [tex]\frac{-x}{5}[/tex] =-1/5 x and x/-5
b) [tex]\frac{-14}{y}[/tex]=14/-y and -14/1/y
c) [tex]\frac{a}{b}[/tex] =a/1/b and 1/b/1/a
d) [tex]\frac{c}{-y}[/tex]=-c/y and -c/1/y
I need help pls! What do I answer?
Answer:
(-1,-4) and (7,-4)
Step-by-step explanation:
so you're looking for an 8 foot row for the vegetables, so you need to find a row that has 8 points from end to end. a way to find this is to find all the points along the shape, and count each verticle line. (ex. (-1,2) and (4,2), there are 5 vertical lines that are complete.)
drag like terms onto each other to simplify fully.
22+7x+7x-4x−4x+2+2-5−5
Answer:
6x + 16 would be its simplified form.
Step-by-step explanation:
Answer:
22+2+2-5-5+7×+7×+4×+4×
Can someone explain how to do this?
Answer:
so what you would do is take length time width or 25*25 to find area
Step-by-step explanation:
What would be the coordinates of Point D to complete square ABCD? Help, is it right
Answer:
Yes, Point D would be correct
given the information in the diagram, which thermo best justifies why lines j and k must be parallel?