Answer:
x = 55
Step-by-step explanation:
Since the sides of the shape are parallel, AngleC and AngleD will add up to 180° (see "parallel lines cut by a transversal" or maybe you have learned a big pile of parallelogram theorems)
Use this relationship to set up an equation.
2x + 20 + 50 = 180
combine like terms
2x + 70 = 180
subtract 70
2x = 110
divide by 2
x = 110/2
x = 55
x is 55
Answer:
The value of x is 55°
Step-by-step explanation:
GivienTwo adjacent angles of a parallelogram are (2x + 20)° and 50° respectivelySince we know that opposite angles of a parallelogram are equal
m∠C = m∠B = (2x + 20)°m∠D = m∠A = 50°The sum of any two adjacent angles is supplementary. This means, ∠A + ∠B = 180°, ∠B + ∠C = 180°, ∠C + ∠D = 180°, and ∠D + ∠A = 180.
So,
∠C + ∠D = 180°
(2x + 20)° + 50° = 180°
2x + 70° = 180°
2x + 70° - 70° = 180° - 70°
2x = 110°
2x/2 = 110°
x = 55°
Thus, The value of x is 55°
Write an equivalent expression.
Answer:
6x-7
Step-by-step explanation:
4x+2x-7
6x-7
$34,100 at 4% for 3 years
Simple interest
The 3 year simple interest at 4% will be $38,192.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
The principal amount = $34,100
Interest rate = 4%
Time = 3 years Now,
Since, We know that;
Where, A is final amount.
P is principal amount.
r is interest rate.
t is time.
Substitute all the values, we get;
A = $34,100 (1 + 4/100)³
A = $34,000 (104/100)³
A = $34,000 × 104/100 × 104/100 × 104/100
A = $38,192
Thus, The Simple interest will be $38,192.
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Find the product. Enter your answer in the box below as a fraction, using the
slash mark (/) for the fraction bar. 4/3*5/3
The solution to the product expression 4/3 * 5/3 is 20/9
How to evaluate the product expression?From the question, we have the following parameters that can be used in our computation:
The product 4/3*5/3
To start with, we need to represent the statement as an expression
So, we have the following representation
4/3 * 5/3
Using a calculator, we multiply the numerator
So, we have the following representation
4/3 * 5/3 = 20/3 * 1/3
Using a calculator, we multiply the denominator
So, we have the following representation
4/3 * 5/3 = 20/9
Hence, the solution is 20/9
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1 + 2 + 4 + 8..., n= 7
evaluate the geometric series
Answer:
The ratio is 2
Step-by-step explanation:
The last value should be 64.
1 * 2 = 2
2 * 2 = 4
4 * 2 = 8
8 * 2 = 16
16 * 2 = 32
32 * 2 = 64
What should be done first to evaluate the expression?
8 × 4 ÷ 3 + 52 - 8
Divide 4 by 3
Square 5
Add 3 and 5
Multiply 8 and 4
Answer:
From PEMDAS
P-- Parethesis
E--- Exponents
M--- Multiplication
D--- Division
A--- Addition
S---- Subtraction
Exponent should be done before the other operations.
so
5² =25
Answer:
Square 5.
Step-by-step explanation:
[tex]8*4/3+5^2-8[/tex]
Step 1: Define.
Whenever you solve problems with multiple operations, remember this:
PEMDAS:
Parenthesis
Exponential equations (exponents)
Multiplication/division
Addition/subtraction
PEMDAS is the order in which you should solve multiple operational equations.
Step 2: Conclude.
Therefore, the first step in order to evaluate this expression is square 5. (Any number to the 2nd power is called 'squared.')
Alana and Petra go to a used book sale , where every book is the same price. Alana buys 4 books and Petra buys 2 books. They run into their friend angus, who really loves to read, and discover that he has bought 16 books. Angus received a $15 discount, but he still spent $5 more than Alana and Petra combined. How much does one book cost?
Answer:
$2
Step-by-step explanation:
• Jason runs 8 miles in an hour and bikes 12 miles in an hour.
. This week, he runs a total of 3 hours and bikes a total of 6 hours.
Solve the equation for x, and enter your answer in the box below.
-14x= -98
Answer:
x=7
hope this helps
have a good day :)
Step-by-step explanation:
Can someone help me :( 6th grade tbanks
How do you know how to set up a equation?
Answer:
Basic Steps to Setting Up Equations
-Determine what the question is asking.
-Write down the relevant information in simple statements.
-Assign symbols to unknown values that need to be found.
-Determine how the statements relate to each other mathematically.
Solving Story Problems
Story problems can contain lots of information, including details that are not necessary to solve the problem. Additionally, the problem may assume general knowledge on the reader's part, and not explain all the information explicitly. Writing that information down in a streamlined form is an efficient way to solve problems.
Step-by-step explanation:
Need help
Kinda forget everything
Answer:
Option E
Step-by-step explanation:
GIVEN :-
β ≠ 3γTO FIND :-
Value of xSOLTION :-
[tex]x - \frac{\beta x}{3\gamma} = \alpha[/tex]
Take 'x' common from L.H.S.
⇒ [tex]x ( 1 - \frac{\beta}{3\gamma} ) = \alpha[/tex]
Substract the terms in the brackets
⇒ [tex]x (\frac{3\gamma - \beta }{3\gamma} ) = \alpha[/tex]
Now , take the whole term in brackets to R.H.S.
⇒ [tex]x = \frac{\alpha }{\frac{3\gamma - \beta }{3\gamma} } = \alpha(\frac{3\gamma}{3\gamma - \beta}) = \frac{3 \alpha \gamma}{3\gamma - \beta }[/tex]
CONCLUSION :-
∴ [tex]x = \frac{3 \alpha \gamma}{3\gamma - \beta }[/tex] (Option E)
8.326 rounded to the nearest tenth
Answer:
8.3
Step-by-step explanation:
The number after three is below 5 so it stays as 8.3
Any help would be appreciated
I think the answer is 5.
Sorry if it's wrong.
Answer:
5
Step-by-step explanation:
This question is based on vector
By applying its formula
AC = AB + BC
we were given AC as 14 and BC as 9 so let find AB
AC = AB + BC
14 = AB + 9
AB = 14 – 9
AB = 5
i hope this helped
Express the polynomial as a product of linear factors.
f(x) = 2x3+ 4x2 – 2x - 4
Answer:
A. 2(x+2)(x+1)(x-1)
Step-by-step explanation:
^polynomial as a product of linear functions
Tara will draw a scale model of the garden she wants to plant. Her scale will be 1 cm=2.5 ft. What will be the actual dimensions of Tara's garden?
Answer:
parangaricutirimicuaro
What is 2/3 written as a decimal
Answer:
2.3
Step-by-step explanation:
Answer:
66.66 repeating, or 66.7
Step-by-step explanation:
3rds only go to 99 if your looking for fractions, and to get from 3-99, you would multiply the fraction times 33.3 repeating. to keep the fraction even, you would also multiply the numerator (top number) by 33.3 repeating, getting 66.66 repeating
2. Avea checked out 18 books
from the library. Half of them
are nonfiction. How many
nonfiction books did she check
out?
Answer: she checked out 9 nonfiction books
Step-by-step explanation:
18-9=9
What is the difference between 28%and 18%of 4900
Answer:
Step-by-step explanation:
Laura, Tom and Alex share £95 in the ratio 8:7:4 find how much money each of them will receive
Answer:
Laura: £40Tom: £35Alex: £20Step-by-step explanation:
You want the amount of money each receives if Laura, Tom, and Alex share £95 in the ratio 8:7:4.
Ratio unitsThe total number of ratio units is 8+7+4 = 19, corresponding to a total amount of £95. That makes each ratio unit represent £95/19 = £5.
Multiplying the ratio units by £5, we find the distribution to be ...
Laura : Tom : Alex = £40 : £35 : £20
Answer:
Money received by Laura = 8x = 8x5 = £40
Money received by Tom = 7x = 7x5 = £35
Money received by Alex = 4x = 4x5 = £20
Step-by-step explanation:
Given ,
Laura, Tom and Alex share £95 in the ratio 8:7:4To Find : How much money will each of them receive
Let us take the variable as 'x' to find the money received by them
When we convert it to a equation
8x+7x+4x = 95
19x = 95
x = [tex]\frac{95}{19}[/tex]
x = 5
Money received by Laura = 8x = 8x5 = £40
Money received by Tom = 7x = 7x5 = £35
Money received by Alex = 4x = 4x5 = £20
Hence, the money received by each of them is £40, £35 and £20
Classify the solid.
PLS HELPP
Reasoning Freezer A has interior dimensions 21x21x4 it and sells for $349.99. Freezer B has
interior dimensions 2.5 1x2.5 ftx3 it and sells for $449.99. Which freezer is a better buy in terms
of dollars per cubic foot? Use pencil and paper. Show your work and explain your reasoning
Which freezer is the bemer buy?
Freezer A
Preezers
Answer:
A
Step-by-step explanation:
Shawna needs to buy some pencils and an eraser. She can spend no more than $8. The eraser costs $1 and the pencils cost $0.25 each. Write an inequality to to find x, the number of pencils Shawna buys.
A) .25x + 1 ≤ 8
B) .25x + 1 < 8
C) .25x + 1 ≥ 8
D) .25x + 1 > 8
Write an
inequality in which one of the solutions is the same as the
solution to x - 23 = 191.
Answer: x-100 < 115
Step-by-step explanation: X is less then 215
if α and β are the zero of polynomial p(x) = 3x^2 +2x + 1, find the polynomial whose zeroes are 1-α /1+α and 1-β/1+β.
Therefore , the solution of the given problem of function comes out to be 2.
Function DefinitionA function connects various inputs together or produces a single output from each input. Simply explained, a function is a collection of equations that are linked to a single, identifiable output. A statement, rule, or law which explains the connection between two variables is known as a function in mathematics (the dependent variable). When a rule of this type is applied, there is just one output. by photographer Alex Federspiel.
Here,
=> (1−α)(1−β)(1+α)(1+β)
=>(1−α−β+αβ) /(1+α+β=αβ)
=> (1−(α+β)+αβ ) / ( 1+(α+β)+αβ)
=>(1 + 2/3 + 1/3 )/ (1 -2/3 + 1/3)
=> 2 x 3 /2 =3
=> (1−α)(1+β)+(1−β)(1+α) / (1+α+β+αβ)
=> 3(2−2αβ)/2
=>3(1−αβ)
=>3(1− 1/3 )
=>2
Therefore , the solution of the given problem of function comes out to be 2.
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Which linear inequality is represented by the graph?
Answer:
you mama
Step-by-step explanation:
you gay
please help me with this
Answer: 630
Step-by-step explanation:
Evaluate 9du when d=10 and u=7
⇒9du
input the values of d and u
⇒9 (10)(7)
⇒9 × 10 × 7
⇒630 answer.
hope that helps...
Answer:
630
Step-by-step explanation:
as the problem shows that the variable for d = 10, and u = 7.
it asked to solve 9du (or 9 × d × u )
we can plug in the numbers into the variables:
9 × 10 × 7
9 × 10 = 90 × 7 = 630
ANSWER FAST
NO LINKS
q>d, if d=3
Answer:
q = 4 or above
Step-by-step explanation:
"4 or above" means 4, 5, 6, 7.... so on. ">" means greater than, meaning any number that is on the bigger side of the symbol is greater/more than the number on the other side. Example:
q > d
4 > 3
5 > 3
Fill in the blank. In the triangle below, y=__________. Round your answer to two
decimal places.
ZD
y
Answer here
42°
35
please help will get brilent
Coach Soto bought a house at $350,000 that increases in value at a rate of 12%. Coach Torres bought a house at $275,000 and increased at a rate of 17%. Both coaches sold their house after 5 years, who made a higher profit?
Answer:
coach soto
Step-by-step explanation:
first figure out the profit, 350000 times 12% to get 42000. then multily 42000 by 5 wich is 210000 then add that to 350000 wich is 560000. then 275000 times 17% which is 46750 times 5, 233750 add that to 275000 which is 508750. so coach soto had a greater profit
For the simple harmonic motion equation d=2 sin(pi/3 t), what is the frequency? If necessary, use the slash (/) to denote a fraction.
Answer:
The frequency is f = 1/T = 1/2 Hz.
Step-by-step explanation:
The frequency of a simple harmonic motion equation can be found by taking the inverse of the period. The period of a simple harmonic motion equation is the time it takes for the motion to repeat itself. In the equation d=2 sin(pi/3 t), the period is T = 2*(pi/3)/(pi/3) = 2 seconds. Therefore, the frequency is f = 1/T = 1/2 Hz.
Answer:1/6
Step-by-step explanation: