Answer:
A. mB = 40°
Step-by-step explanation:
In geometry, congruent figures are identical in form, coinciding exactly when superimposed.
From the diagram,
<CAB = 80°; <EFG = 40° and <FGE = 60°
From triangle ️ EFG,
<GEF + <EFG + <FGE = 180°
》<GEF = 180° - (<EFG + <FGE)
<GEF = 180° - (40° + 60°)
<GEF = 180° - 100°
<GEF = 80°
》<GEF = <CAB = 80°
Also,
》<ACB = <EGF = 60°
<ABC = <EFG = 40°
NB. <ABC = mB
Alicia has 8 more dollars than Fred. Altogether, Alicia and Fred have 26. dollars. Let "f" represent the amount of money, in dollars, that Fred has. Use "f" to write an expression that represents the amount of money that Fred has.
Use “f” to write an expression that represents the amount of money that Alicia has.
Write de equation to represent the problem situation
Solve your equitation showing each step of the solution
Based on your solution to your equation, state how much money Fred has
Based on your solution to your equation, state how much money Alicia has
Answer:
Fred has = 9 $
Alicia has = 9 + 8 =17 $
Step-by-step explanation:
Let, Fred has = f $
Then, Alicia has = f + 8 $ ;[as Alicia has 8 more dollars than fred]
Now, the required expression is
∴[tex]f+(f+8)=26\\=>2f+8=26\\=>2f=18\\f=9[/tex]
So, Fred has = 9 $
Alicia has = 9 + 8 =17 $
Hope you have understood this.....
ask me if you have any confusion.....
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[tex]9/16=3/4t[/tex]9/16=3/4t
Answer:
4/3
Step-by-step explanation:
9÷16=3÷4t
cross multiply
36t=48
divide both sides by 36
t=48÷36
t=4÷3
HELPPPPP PLSS- What is the area of this figure? 9 yd 5 yd 7 yd 3 yd 2 yd 6 yd square yards
Answer:
99
Step-by-step explanation:
9x5 + 7X6 + 3X4 + 2X6
Please help.Please show the formula,thanks.
Answer:
DE=6.3
Step-by-step explanation:
triangles are similar so, its sides and angles are comgruent.
side BC=side DE
side BC=6.3
side DE=6.3
Note:if you need to ask any question please let me know.y² - 11y + 21.25 = 0
Answer:
y=17/2 y=5/2
Step-by-step explanation:
...................
Answer:
[tex]y^{2}[/tex]-11y= -21.25
Factorize the expression [tex]y^{2}[/tex]-11y
y(y-11)= -21.25
Eliminate (y-11)by dividing it over (y-11)
[tex]\frac{y (y-11)}{(y-11)}[/tex] = [tex]\frac{-21.25}{(y-11)}[/tex]
Final answer;
y=[tex]\frac{-21.25}{(y-11)}[/tex]
2 Jessica re the same number of books each month. Write an expression to represent
the number of books Jessica reads in 2 years.
Answer:
The answer is Jessica reads 24b books in 2 years where b is the number of books she reads each month.
Step-by-step explanation:
First, decide on your variable. You don't know how many books Jessica reads each month, but you know every month it is the same.
Let b equal the number of books Jessica reads each month.
Next, write a variable expression using b. In one month Jessica reads b books. In 2 months Jessica reads 2b books. The question asks for an expression that represents the total number of books Jessica reads in 2 years. There are 12 months in a year so there are 24 months in 2 years. So your expression is
24b
It cost $13.40 for 4.5 pounds of chicken.
How much did it cost per pound? Round
your answer to the nearest cent. Please help
Answer:
2.98c (c= one pound of chicken)
Step-by-step explanation:
The length of a rectangle is twice the width. The perimeter is 30 cm. What is the width of the rectangle?
O A. 3.75 cm
B. 5 cm
C. 7.5 cm
OD. 10 cm
E. 15 cm
Answer:
B. 5 cm
Step-by-step explanation:
If the width was 5 cm, the length would be 10 cm. (5 + 10) x 2 = 30 cm.
1;1;2;3;5;8;14;21;34 identify and explain the error in the following pattern
Answer:
5+8=14
Step-by-step explanation:
5+8 is 13 not 14
If I start at 6:05 and end at 8:30. How much time is that.
Isn’t is 2 hours and 25 minutes or 2 hours and 35 minutes?
Answer:
Isn’t is 2 hours and 25 minutes
Step-by-step explanation:
[tex]8:30 - 6:05 = 2:25[/tex]
I hope I helped you^_^
a solid sphere is cut into 3 equal wedges. the volume of each wedge is V=4/9π^3. solve the formula for r
[tex]\\ \qquad\quad\sf{:}\dashrightarrow V=\dfrac{4}{9}πr^3[/tex]
It is one third of the solid. sphere[tex]\\ \qquad\quad\sf{:}\dashrightarrow V_{(Sphere)}[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow 3\left(\dfrac{4}{9}πr^3\right)[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow \dfrac{4}{3}\pi r^3[/tex]
Now
[tex]\\ \qquad\quad\sf{:}\dashrightarrow \pi r^3=\dfrac{3V}{4}[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow r^3=\dfrac{3V}{4\pi}[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow r=\sqrt[3]{\dfrac{3V}{4\pi}}[/tex]
Step-by-step explanation:
hmmm.
the other answer says the volume of a wedge is
4/9 × pi×r³
but I read here only
4/9 × pi³
so, what is correct ?
if I assume my reading is correct, then the solution is actually
4/9 × pi×r³ = 4/9 × pi³
pi×r³ = pi³
r³ = pi²
[tex]r = \sqrt[3]{ {\pi}^{2} } [/tex]
and that would mean
r ≈ 2.145
The highest and lowest temperatures of Town X were 4°C and -18°C respectively. Find the difference between these two temperatures. (b) The lowest temperature recorded in Town Y was 12°C higher than -18°C. Find the lowest temperature recorded in Town Y.
Answer:
Difference: 4-(-18)=22
=22 degrees celcius
Lowest temperature: 12 degrees higher that -18 degrees
= 12+(-18)
= -6 degrees celcius.
Step-by-step explanation:
Unit 1 : Algebra basics Homework 1: the real numbers
Real numbers may be explained as all set of numbers which may be used for counting, fractions or decimals. Real numbers may be any set of natural, whole, integer, rational or irrational numbers.
• NATURAL NUMBERS which are all set of positive whole numbers from 1. Examples : (1, 3, 5, 8, 100)
• WHOLE NUMBER are set of all natural numbers .while numbers also include the value value (0, 1, 200, 500) are whole numbers
• INTEGERS : include all positive and negative natural or whole number values. They include (-1, - 10, 10, 5)
• RATIONAL numbers are real numbers which can be expressed in the form m/n where both m and n are integer values and the denominator, n ≠ 0 Examples : (1/2, 0.9, 10/1, √4, 3.5)
• IRRATIONAL numbers are real numbers which are not integer values and cannot be expressed in the form m/n Non-terminating and non-repeating decimal numbers are IRRATIONAL numbers. (√3, 1.43136..., 1.4141..., π)
Learn about similar question on : brainly.com/question/5305024
In 5 years Chim will be three times as old as Jared. The sum of their ages is 42. How old are Chim and Jared.
Answer:
Chim is 34 years old, and Jared is 8 years old.
Step-by-step explanation:
Let c be Chim's age and j be Jared's age.
Chim's age after five years (c + 5)
is 3 times Jared's age after five years (3 * (j+5) )
#1: c + 5 = 3(j+5)
We can add Chim's age and Jared's age to get 42 (the "sum"):
#2: c + j = 42
This is a system of equations that we can solve through substitution:
c + 5 = 3(j+5)
c + j = 42
In Equation #2, we can subtract j from both sides:
c = 42 - j
Then replace c with 42 - j in the first equation
(42 - j) + 5 = 3(j+5)
47 - j = 3j + 15
32 = 4j
j = 32/4 = 8
Plug j = 8 into the second equation, then solve for c.
c + 8 = 42
c = 42 - 8 = 34
c = 34, j = 8
Check our work by plugging in c = 34 and j = 8 into the first equation:
34 + 5 = 3(8+5)
39 = 3*13
39 = 39
Plug c and j into the second equation:
34 + 8 = 42
42 = 42
Chim is 34 years old, Jared is 8 years old.
Which of the following is not true about the number given below?
-6.7
a. The number is negative
b. The opposite of the number is negative.
c. The absolute value of the number is positive.
d. The number is 6.7 units away from zero.
PLEASE HELP ME!
Answer:
b. The opposite of the number is negative
Step-by-step explanation:
the opposite of -6.7 would be 6.7 not a negative
How many of the 320 million Americans would you predict wear glasses?Using table 2
Step-by-step explanation:
Divide your 320 million with 618 and that's your answer.
Answer:
517799
Step-by-step explanation:
Please help me with question 5!!!!!!!!!
Answer:
a)2,3,4,5,6
b)-3,-1,1,3,5
Step-by-step explanation:
a) y(-2)=-2+4=2
y(-1)=-1+4=3
y(0)=0+4=4
y(1)=1+4=5
y(2)=2+4=6
b)y=2x+1
y(-2)=2*(-2)+1=-3
y(-1)=2*(-1)+1=-1
y(0)=2*0+1=1
y(1)=2*1+1=3
y(2)=2*2+1=5
What is the slope of any line that is perpendicular to y=1- x?
Answer:
y = x + 1
Step-by-step explanation:
y = -x + 1
y = x + 1
The difference of F and 5 times G is the same as 25 minus f
Step-by-step explanation:
(5×G)-F=25-F
I hope it helped U
stay safe stay happy
Identify the greatest common factor of 25w⁵+5w⁴+15w³
Answer:
5w³
Step-by-step explanation:
To solve this, we can list the factors of each number and see which are common
25w⁵: separate this into 25 and w⁵ as one is a variable and one is not, so this will enable easier factorization. It is perfectly fine to separate these as these are multiplied by each other. For example, 5 is a factor of 25 but not of w⁵, but we can still factor 5 from 25w⁵ to get 5 (5w⁵)
factors of 25:
1, 5, 25
factors of w⁵:
1, w, w², w³, w⁴, w⁵
We know the factors of w⁵ because anything multiplied by 1 is equal to itself, w * w⁴ = w⁵, and w²*w³ = w⁵ due to exponent rules
Next,
factors of 5:
1, 5
factors of w⁴:
1, w, w², w³, w⁴
Finally,
factors of 15:
1, 3, 5, 15
factors of w³:
1, w, w², w³
For the constants, the greatest common factor is 5, and for the variables, the greatest common factor is w³
Because each value has both a constant and variable, we can use these two numbers to factor this out as
5w³(5w²+w + 3)
please help me it's for my homework
Hi! I'm happy to help!
To convert a decimal into a percent, you move the decimal two units to the right.
.47
4.7
47.
Since there is nothing else after the decimal we can get rid of it.
47
0.47 is percentage for is 47%
I hope this was helpful, keep learning! :D
Which answer choice correctly shows 564 written as a Roman numeral? A.DLXIN B.DLXIIII C.DXLIV D.MLXIV
Answer:
DLXIV. I don't see that as any of the answer choices, so maybe you put some of them in wrong.
Step-by-step explanation:
D is 500
LX is 60
IV is 4
I hope this helps!
pls ❤ and mark brainliest pls!
If the radius of the closed cone is doubled, show algebraically how this affects the surface
area in comparison to the original cone.
Answer:
If the radius and height of a cone are doubled, its curved surface area increase four times.
Answer:
If the radius and height of a cone are doubled, its curved surface area increase four times
Hunter is going to graph the ordered pairs that are represented by this table on a coordinate plane.
x
–7
–3
0
1
5
9
y
4
0
2
6
0
–2
In Hunter’s graph, how many points should lie on the y-axis?
0
1
2
3
Answer:
one
Step-by-step explanation:
Any point where x = 0 will fall on the y axis. The y values do not matter for this question.
Answer:
1
Step-by-step explanation:
If the divisor is 60, what is the least four-digit dividend that would not have a remainder?
Answer:
2400
which is not having any remainder as 2400÷60=40
Step-by-step explanation:
In the expression, 9x3 + 4x2 + 7x + 6, what is the constant?
6
ооо
O4
Answer:
6
Step-by-step explanation:
The constant is the number that is on its own, the number that has no variable.
The only number that has no variable is 6 therefore the constant is 6.
Note: the variable is usually expressed as a letter, ex. in 9x the variable is "x"
Answer:
The constant term is [tex]6[/tex].
Step-by-step explanation:
Given that,
An expression,[tex]9x^3 + 4x^2 + 7x + 6[/tex].
To find,
The constant term.
Solution,
We have,
An expression, [tex]9x^3 + 4x^2 + 7x + 6[/tex]
The term that doesn't have any variable is the constant term of an expression.
The coefficient of [tex]x^3[/tex] is 9.
The coefficient of [tex]x^2[/tex] is 4.
The coefficient of [tex]x[/tex] is 7.
The constant term is 6 as it doesn't contain any variable.
Hence, the constant term is [tex]6[/tex].
Reference,
https://brainly.com/question/18775522
Write a rule for the nth term of the sequence. Then find a..
3. 4, 20, 100, 500, ...
Answer:
Rule is 4(5)^(n-1).
a7 = 62500.
Step-by-step explanation:
This is a geometric sequence with a1 = 4 and r = 20/4 = 5.
a7 is 4(5)^(7-1)
= 4 * 5^6
= 62500.
the general form of the given sequence is a(n) = 4 * 5ⁿ⁻¹ and a(7) is 62500.
What is the geometric sequence?A geometric sequence is a sequence of numbers that follows a pattern where the next term is found by multiplying by a constant called the common ratio, r.
Given a sequence 4, 20, 100, 500, ...
From the general formula of the nth term of the geometric sequence:
a(n) = arⁿ⁻¹
where,
a is the first term
r = ratio of two subsequent terms
in our case
a = 4
r = 20/4 = 5
thus, the general form of the given sequence
a(n) = 4 * 5ⁿ⁻¹
To find: a(7)
a(7) = 4 * 5⁶
a(7) = 62500
therefore, the general form of the given sequence is a(n) = 4 * 5ⁿ⁻¹ and a(7) is 62500.
Learn more about geometric sequence here:
https://brainly.com/question/13008517
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If A=( a,b)and B= (2,4,6} find n(A) * n(B)
Answer:
n(a) X n( b) = 6
Step-by-step explanation:
n(a)= 2
n(b) = 3
n(a) X n( b) = 2x3
=6,,
The product of two whole numbers is 10000. If neither of the numbers contains a digit of 0, then what is their sum?
Step-by-step explanation:
we should add 9999 add 1
it is the answer of this qp
Mr slone said that his car was worth $32,000 when it was purchased.however over the last 3 years $6300. What integer represents the average decrease in value per year?
Hi! I'm happy to help!
To solve this, we need to first find how much the car value decreased.
The car started at $32,000, but dropped down to $6,300. To find the value drop, we use subtraction.
$32,000-$6300
$25,700
Now we know that his car value dropped $25,700 in value over the course of 3 years. Now we need to figure out how much value it dropped per year. To do this, we split the money into 3 years.
$25,700÷3
$8,566.6666666...
We can round this to $8,567
On average, his car lost $8,567 in value, per year. Now, we need to find how much value his car had after one year in order to get our integer. (a fraction of 2 whole numbers)
$32,000-$8,567
$23,433
Now that we know what his can was worth after one year, we can say that his can was worth $23,433 out of the $32,000 originally was worth. Out of can mean division, or fraction, and because these are both whole numbers, and integer. This is our integer:
[tex]\frac{23433}{32000}[/tex]
Since we cannot simplify it, this is our integer that represents the average decrease in value per year.
I hope this was helpful, keep learning! :D