Answer:
x = 3
Step-by-step explanation:
The two triangles at the left have the same angles and share a side, so they are congruent. Therefore, the vertical side is also 6x−2.
Using the same logic, the two triangles on the right have the same angles and share a side, so they are congruent. Therefore, the vertical side is also 9x−11.
So:
6x − 2 = 9x − 11
9 = 3x
x = 3
Find the value of x that would prove y is parallel to z. State the converse used to support your answer.
Answer:
[tex] x = 15 [/tex]
Step-by-step explanation:
By the Consecutive Interior Angles Converse, if [tex] (3x + 7) + (10x - 22) = 180 [/tex], then y is parallel to z.
Solve for x
[tex] 3x + 7 + 10x - 22 = 180 [/tex]
Combine like terms
[tex] 3x + 10x + 7 - 22 = 180 [/tex]
[tex] 13x - 15 = 180 [/tex]
Add 15 to both sides
[tex] 13x - 15 + 15 = 180 + 15 [/tex]
[tex] 13x = 195 [/tex]
Divide both sides by 13
[tex] \frac{13x}{13} = \frac{195}{13} [/tex]
[tex] x = 15 [/tex]
x2 + y2 + 17 = 138
Find the radius of the circle
[tex]x^2 + y^2 + 17 = 138\\x^2 + y^2 = 138 - 17\\x^2 + y^2 = 121\\x^2 + y^2 = 11^2\\Radius = 11[/tex]
Suppose that J and K are points on the number line.
If JK = 14 and J lies at -5, where could K be located?
If there are several locations, separate them with commas.
Answer:
9, -19
Step-by-step explanation:
Given that the distance between point J and point K on a number line is 14, and the coordinate of J is -5, there are two possible coordinates that could represent the location of K.
K can either be located to the right of J, or to the left of J. Either ways, distance between J and K will still equal 14.
To the right we would have K located at: -5 + 14 = 9
To the left we can also have K located at: -5 - 14 = -19
K can be located at either 9 or -19
2(x+2)-4(x-1)=14
What do you need to do first to solve this expression
Khadija purchased a prepaid phone card for $20. Long distance calls cost 11 cents a minute using this card. Khadija used her card only once to make a long distance call. If the remaining credit on her card is $16.92 , how many minutes did her call last
Answer:
Khadija's my grandmas name
Anyways
Step-by-step explanation:
Alternate Interior Angles are ____________ when parallel lines are cut by a transversal.
Answer:
Alternate Interior Angles are congruent/ supplementary when parallel lines are cut by a transversal.
Answer:
always
Step-by-step explanation:
Solve the equation. Use a calculator. c3 = 4 (Round to the nearest tenth as needed.)
What is the distance between -9 and 42 on the number line?
Answer:
51 is the answer to the question
Answer:
51
Step-by-step explanation:
-9 is 9 jumps from zero
42 is 42 jumps from zero
9 + 42 = 51
it would take -9 51 jumps to get to 42
I need help with question
Answer:
y = x² + 2
Step-by-step explanation:
Given
x = [tex]\sqrt{y-2}[/tex] ( square both sides )
x² = y - 2 ( add 2 to both sides )
x² + 2 = y
5x+2[3(x-4)+1]=33
I need this question answered ASAP. Thanks!!!
Answer: x=5
Step-by-step explanation:
Distribute 3 through the parentheses
calculate the sum
disatribute 2 through the parentheses
collect like terms
move constant to the right and change its sign
add the numbers divide both sides of the equation by 11
Plz help
4 - (-3)
&
-8 - (-5)
Answer:
4-(-3)=7
-8-(-5)=-3
Step-by-step explanation:
4-(-3)=7
4+3
=7
——
-8-(-5)=-3
-8+5
=-3
A negative times a negative makes a positive
A car rental company offers the following two plans for renting a car:
Plan A: 30 dollars per day and 11 cents per mile
Plan B: 50 dollars per day with free unlimited mileage
Q: How many miles must one drive in order to justify choosing Plan B?
Answer:
181.8181818181...
Step-by-step explanation:
50 = 30 + 11X
X = 181.81818181...
Evaluate the expression.
[(3-5)(34)]3
1 Innermost group, apply the product of powers: [3-1]13
2 Apply the power of a power:
3-3
3 Apply the negative exponent: 1 over 3^3
4 Simplify:
1
X
What is the value of x in the simplified expression?
Answer:
its 27 just did the instruction
Step-by-step explanation:
Evaluate the expression. [(3–5)(34)]3
1 Innermost group, apply the product of powers: [3–1]3
2 Apply the power of a power: 3–3
3 Apply the negative exponent:
1
33
4 Simplify:
1
x
What is the value of x in the simplified expression?
x= 27
Solve for x. x+5.39>4.48
Answer:
[tex]\boxed {x > -0.91}[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex] :
[tex]x + 5.39 > 4.48[/tex]
-Subtract [tex]5.39[/tex] on both sides:
[tex]x + 5.39 - 5.39 > 4.48 - 5.39[/tex]
[tex]x > -0.91[/tex]
So, therefore, the final answer is [tex]\boxed {x > -0.91}[/tex].
brainliest and points
Which equation could you use to solve this word problem?
A. 6 + 2 = ?
B. 6 2 = ?
C. 6 × 2 = ?
D. 6 - 2 = ?
Answer:
C
Step-by-step explanation:
Let bold r 1 comma ... Comma bold r subscript pbe vectors in set of real numbers r superscript n, and let q be an m times n matrix. Write the matrix left bracket upper q bold r 1 ...Q bold r subscript p right bracket as a product of two matrices (neither of which is an identity matrix).
Answer and Step-by-step explanation:
Let bold r 1 comma ... Comma bold r subscript p be vectors in the set of real numbers r superscript n:
r1,… ,rp be vector in Rn
And let Q be an m times n matrix = Q= m x n
write the matrix left bracket upper q bold r 1 ...Q bold r subscript p right bracket as a product of two matrices = [Qr1, …, QrP], which is a product of two matrices.
To write the product of two matrices.
Use the definition of AB in reverse order:
[Qr1, …, QrP] = Q [r1, …, rp]
= QR
How many solutions does 2x+5=4+2x+1 have
Answer:
There are infinitely many solutions in the equation, 2x +5 = 4 +2x +1.
(Please comment if you want explanation)
The equation 201.50 = f +6.50(21) represents the cost of printing the shirts at
a second printing company. Find the solution to the equation and state what it
represents in this situation.
Answer: 65
Step-by-step explanation:
It represents the setup fee
f is the intercept and represents the initial fee or setup cost. Hence, the setup cost is 65.
The given equation is 201.50 = f +6.50(21).
We need to find the solution to the equation and state what it represents in this situation.
What is an equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
Now, the equation 201.50 = f +6.50(21) can be solved as follows:
201.50 = f + 136.5
⇒f = 65
f is the intercept and represents the initial fee or setup cost. Hence, the setup cost is 65.
To learn more about an equation visit:
brainly.com/question/1529522.
#SPJ2
Car Payments
Your aunt bought a new car After three months of car payments she owed a total of
$22 275 to the bank for the car loan. After 12 months, she owed $18,900 to the bank
for the car loan What was her average payment rate on the principal of the car loan
during this time?
13. 22.2757
(12, 18,000)
24,000
20,000
Money Owed 16,000
(dollars)
12.000
8,000
4,000
2
12
4 6 8 10
Time months)
CHECK
per month
O
Type here to search
What was her average payment rate on the principal of the car loan during this time?
Answer:
$375
Step-by-step explanation:
Given the following :
Amount owed after three months of payment = $22,275
Amount owed after 12 months = $18,900
What was her average payment rate on the principal of the car loan during this time?
We can obtain the amount paid between the third month and the 12th months ;
(Amount owed after 12 months - amount owed after 3 months)
= ($22,275 - $18,900)
= $3,375
Number of months for which the payment above was made :
(12 - 3) = 9 months
Payment per month :
Amount paid / number of months
= 3375 / 9
=$375 per month
Write and solve a real-world problem that can be modeled by the equation
0.75x - 18.50 = 0.65x
Answer:
560
Step-by-step explanation:
For 6x + 5 = 27, if x = 4 is it true or false
Answer: the answer is 29.
Step-by-step explanation: multiple 6 by 4 to get 24, and then add 5 = 29.
The linear equation in one variable 6x + 5 = 27, is not satisfied by the value of x = 4, so x = 4 is false value of the given equation.
What are linear equations in one variable?The simplest equation used to express and solve for an unknown quantity is a linear equation in one variable. It's simple to depict graphically since it's always a straight line. A linear equation is a simple technique to convey a mathematical proposition. Unknown quantities can be represented by any variable or symbol, however, in most cases, the unknown quantity in a linear equation in one variable is represented by the variable 'x'. A collection of basic strategies are used to solve a linear equation. To determine the final value of the unknown quantity, the variables are isolated on one side of the equation and the constants are isolated on the other side of the equation.
How do we solve the given question?We are asked to check whether x = 4 is the true or false value of the linear equation in one variable: 6x + 5 = 27.
To check whether x = 4 is the true or false value, we need to substitute the value of x = 4 in the equation and check if the left-hand side of the equation and right-hand side of the equation is the same. If they are the same, x = 4 is the true value. If they are not the same, then x = 4, is the false value.
Substituting x = 4 in the equation 6x + 5 = 27, we get:
6(4) + 5 = 27
or, 24 + 5 = 27
or, 29 = 27, which is not true.
Since the left-hand side and right-hand side of the equation are not the same, x = 4 is a false value of the equation 6x + 5 = 27.
Learn more about linear equations in one variable at
brainly.com/question/24145091
#SPJ2
Find the slope of the line from the equations: y = -2/3x – 1
Answer:
slope = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{2}{3}[/tex] x - 1 ← is in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
Answer:
-2/3
Step-by-step explanation:
[tex]y = - \frac{2}{3} x - 1 \\ equating \: it \: with \: \\ y = mx + b \\ m \: = - \frac{2}{3} \\ slope \: of \: line \: = - \frac{2}{3}[/tex]
(8b^3 − 6 + 3b^4 ) − (b^4 − 7b^3 − 3) =
Answer:
2b^4 + 15b^3 - 3
Step-by-step explanation:
What is the slope represented by the following table. X-1,0,1,2. Y6,4,2,0
I'm pretty sure the answer is D.-2
pls correct me if im wrong
5 - 3(6 - 2y)
Group of answer choices
-4y + 12
-18 + 6y
4y + 12
6y - 13
Answer:
6y - 13
Step-by-step explanation:
5 - 3(6 - 2y)
Distribute;
5 - 18 + 6y
-13 + 6y OR 6y - 13
Any One Know This One
Answer:
no solutions
Step-by-step explanation:
4 + 5m = 4m + 1 + m combine like terms
4 + 5m = 5m + 1 subtract 5m from each side
4 = 1
4 can never equal 1, so no value of m would allow the equation to be correct
The left side 4+5m is the same as 5m+4
Simplifying the right hand side has 4m+1+m turn into 5m+1
The original equation is equivalent to 5m+4 = 5m+1
If we subtract 5m from both sides, the 5m terms cancel leaving us with 4 = 1, but that's not a true statement.
Regardless of whatever value you pick for m, the original equation will not be true.
I think of a number add seven and multiply by four I get the same answer if I divide my number by two and add twenty one what’s my number ?
Answer:
your number is 4
Step-by-step explanation:
4x+7=(x:2)+21
4x +7=0.5x + 21
3.5x +7=21
21-7=14
14:3.5=4
Determine the equation of the line shown in the graph:
y = 0
x=0
y = 5
x = 5
Answer:
I think it's y=5 because it's a horizontal line
Toya's dachshund puppy can sprint at a speed up to 15 feet per second. What is this speed in inches per
second?
A company’s stock was selling at $25 a share a month later it was selling at $30 a share what is the percent increase
Answer:
20% increase
Step-by-step explanation:
To find the percent increase, you can divide the increase value by the original: 30/25 = 1.2 --> 120%. Next, since they ask for the percent of increase, you can subtract 1 or 100% from your answer which would give you a final answer of 20% increase.