If triangle STR ~ triangle PTQ, find QT
Answer:
QT = 45
Step-by-step explanation:
ST = 65
SP = 26
RQ = 30
QT = 4x - 3
Given that ∆STR is similar to ∆PTQ, therefore:
[tex] \frac{ST}{PT} = \frac{RT}{QT} [/tex]
Plug in the values
[tex] \frac{65}{65 - 26} = \frac{30 + (4x - 3)}{4x - 3} [/tex]
Solve for x
[tex] \frac{65}{39} = \frac{30 + 4x - 3)}{4x - 3} [/tex]
[tex] \frac{5}{3} = \frac{27 + 4x}{4x - 3} [/tex]
Cross multiply
[tex] 5(4x - 3) = 3(27 + 4x) [/tex]
[tex] 20x - 15 = 81 + 12x [/tex]
Collect like terms
[tex] 20x - 12x = 81 + 15 [/tex]
[tex] 8x = 96 [/tex]
Divide both sides by 8
[tex] x = \frac{96}{8} [/tex]
[tex] x = 12 [/tex]
✅QT = 4x - 3
Plug in the value of x
QT = 4(12) - 3 = 48 - 3
QT = 45
Can someone graph this please
Answer:
Step-by-step explanation:
Answer:
You meant like this?
PLEASEEEEEEE HELPPPPPP ASAPPPP
Answer:
C
Step-by-step explanation:
Elizabeth uses 234 cups of flower in waffle batter. If she wants to triple the recipe, how many cups of flower will she need?
Answer: 702
Step-by-step explanation:
234 • 3 = 702
702
Step-by-step explanation:
If you triple 234, you get 702. In other words you do 234x3.
Convert the following equation to slope intercept form
4x – 9y = 8
Answer:
the answer is 20
Does (1,7),(1,6),(1,5),(1,4),(1,3) represent a function?
Answer:
No
Step-by-step explanation:
The difference is –6i –10 + 4i 3 – 9i 4 – 10i
Answer:
The answer choice is D.4-10i
Answer:
D 4 - 10i
Step-by-step explanation:
What is the solution for this equation
Answer:
x={2,3}
Step-by-step explanation:
√5x-6=x
5x-6=x^2
x^2-5x+6=0
x^2-3x-2x+6=0
(x^2-3x)-(2x-6)=0
x(x-3)-2(x-3)=0
(x-2)*(x-3)=0
x-2=0
x=2
x-3=0
x=3
Let z = 5 – 9i and w = 6 + i.
Which expression shows the first step in finding the quotient of StartFraction z Over w EndFraction ?
StartFraction 5 minus 9 I Over 6 + I EndFraction times StartFraction 6 minus I Over 6 minus I EndFraction
StartFraction 5 minus 9 I Over 6 + I EndFraction times StartFraction 6 + I Over 6 + I EndFraction
StartFraction 5 minus 9 I Over 6 + I EndFraction times StartFraction 5 minus I Over 5 minus I EndFraction
StartFraction 5 minus 9 I Over 6 + I EndFraction times StartFraction 5 + I Over 5 + I EndFraction
Given:
[tex]z=5-9i[/tex]
[tex]w=6+i[/tex]
To find:
The expression that shows the first step in finding the quotient of [tex]\dfrac{z}{w}[/tex].
Solution:
According to the question,
[tex]\dfrac{z}{w}=\dfrac{5-9i}{6+i}[/tex]
First, we need to multiply and divide the conjugate of denominator, i.e., 6-i, to find the quotient.
[tex]\dfrac{z}{w}=\dfrac{5-9i}{6+i}\times \dfrac{6-i}{6-i}[/tex]
Therefore, the correct option is A.
Answer:
the answer is a
Step-by-step explanation:
edge 2020
WILL GIVE EXTRA POINTS
Assignment name: Segment Addition
If sale tax is 9% and you want to buy three t-shirts that cost $17.00 each, how much tax will you pay?
Answer:
$1.53
Step-by-step explanation:
Answer:
$55.59 TOTAL. So you pay $4.59 Tax
Step-by-step explanation:
The T-shirts price before any tax is $51 Then you add the 9% tax rate and get $55.59.
To get the BEFORE tax price I did 17*3 because the T-shirts are $17 and he wants 3 of them.
PLEASE MARK BRAINLIEST
Graph the following inequality:
Answer: the intercept is love , the slope is you , dotted or solid is <3
Step-by-step explanation:
The absolute value of opposite numbers is the same?
True or False?
Why or Why not
Answer:
false, it's the opposite so its doesn't have the same amount, negative or positive.
True.
The absolute value of opposite numbers is the same as the number because the absolute value is always positive.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number = x
The opposite of x is -x.
Now,
The absolute value of -x.
= |-x|
= x
We are getting the number back.
Thus,
The absolute value of opposite numbers is the same as the number.
Learn more about expressions here:
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Solve the following equation by combining like terms:
x +x +2 +3x- 6 = 31
Answer:
x=7
Step-by-step explanation:
We want to get the variable "x" alone to get our answer. So.
1. combine like terms
x+x+2+3x-6=31
like terms in equation: (left side)
x, x, 3x= 5x (equation: x+x+3x)
2, -6= -4 (equation: 2-6)
so, this is what the equation would look like with our new answers:
5x-4=31
2. add 4 to both sides
5x-4+4=31+4
(on left side of equation, the -4 and +4 cancel each other out, leaving the 5x alone)
5x=35
3. divide 5 from both sides, to get the "x" alone
5x/5=35/5
so, our answer would be:
x=7
I hope this was helpful :)
What percentage is x of 4x?
Answer: 25%
Step-by-step explanation:
Since there are 4 x's one x = 25%
simplify
75 ÷ 15 × (-6+17-8) x4
Answer:
60
Step-by-step explanation:
-6 + 17 - 8 = 3Plug 3 in: 75 ÷ 15 × (3) × 475 ÷ 15 = 5Plug 5 in: 5 × 3 × 45 × 3 × 4 = 60I hope this helps!
Which equation is equal to y=x^2+24x-18
Answer:
(X+12)^2 -18-(24/2)^2
(X+12)^2 -18-144
(X+12)^2-162
Your answer is 1.
Step-by-step explanation:
Answer:um hold on
Step-by-step explanation:
The expression on the left side of an equation is shown below.
3x+9=0
If the equation has no solution, which expression can be written in the box on the other side of the ec
-9
-3
ООО
3x
O 3x+ 9
Nun
What is a simple way to tell that −2 1/5 is not the slope of this graph?
Answer:
The last one is an easy way to tell that the slope is not -2 1/5 because it is positive
Step-by-step explanation:
When a line goes up from left to right, it's positive. If it goes down from left to right, it's negative.
Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon. Which inequality relates the number of gallons of gas she bought at the first station, x, the number of gallons of gas she bought at the second station, y, and the total amount she paid? What are the possible values of y? 3.5x + 4y ≥ 45, y ≥ 11.25 3.5x + 4y ≥ 45, 0 ≤ y ≤ 10.375 3.5x + 4y ≤ 45, 0 ≤ y ≤ 11.25 3.5x + 4y ≤ 45, y ≥ 10.375
Answer:
your answer is going to be :
Step-by-step explanation:
C. 3.5x + 4y ≤ 45, 0 ≤ y ≤ 11.25
Answer:
c
Step-by-step explanation:
Pls help I need a good grade I will brainlest
Answer:
1 1/3
Step-by-step explanation:
We simplify it into 3 1/6 - 1 5/6.
Since 5 cannot subtract from 1, we convert 3 1/6 into 2 7/6 because it is equivalent to 3 1/6, and subtract 1 5/6 from that fraction to get 1 1/3.
Help!
Identify a segment skew to AB using the figure
Answer:
EH
Step-by-step explanation:
Skew lines are lines that do not intersect (touch) or are parallel!
A line segment skew to AB is EF. Therefore, option EF is the correct answer.
We need to identify a segment skew to AB.
What are skew lines?Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar. This implies that skew lines can never intersect and are not parallel to each other. For lines to exist in two dimensions or in the same plane, they can either be intersecting or parallel.
From the given figure, line EF is skew line to AB.
A line segment skew to AB is EF. Therefore, option EF is the correct answer.
To learn more about the skew lines visit:
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a package of 36 photos costs $18. how many does it cost per photogragh
Answer:
$0.50
Step-by-step explanation:
This is a simple equation. All you need to do is divide 18 by 36.
18/36 = 0.5
Answer:
$0.5
(50 cents)
Step-by-step explanation:
Just divide how much it costs (18) by the number of items bought (36) and you'll find how much it costs per-item.
$18 ÷ 36 = $0.5
So $0.5 (50 cents) is your answer.
Hope this helps and have a nice day!
If g + 11 = 16, then evaluate 5g + 12
Answer:
37
Step-by-step explanation:
use inverse operations to solve ,
16 - 11 = g
g = 5
if g = 5 then , 5 times 5 is 25 , add 12 to 25 and get 37
*please name brainliest if you can :)
The value of the expression 5g + 12 is 37, when g equals 5.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.
Given A equation g + 11 = 16.
g = 16 - 11.
g = 5.
Now, 5g + 12
= 5×5 + 12.
= 25 + 12.
= 37.
learn more about equations here :
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A local deli sells 4-inch sub sandwiches for $2.95. It has decided to sell a "family sub" that is 50
inches long. How much should it charge?
The deli should charge $ ?
Answer:
36.875
Step-by-step explanation:
if you subtract 1 by 2 from a number and multiply result 1by 2, you get 1by 8. what is the number
Answer:
the answer is 9/16 I hope this doesn't require step by step solve
Answer:
x = 4Step-by-step explanation:
x - 2 x 2 = 8
x times 2 = 8
x = 4
The sides of a right triangle are (x-5) (x+2) (x+3). solve for x.
Can someone pls help me on this problem
Answer:
x = 10.
Step-by-step explanation:
The longest side , the hypotenuse = x + 3 because the lengths of the sides are positive.
So, by Pythagoras:
(x + 3)^2 = (x - 5)^2 + (x + 2)^2
x^2 + 6x + 9 = x^2 - 10x + 25 + x^2 + 4x + 4
0 = 2x^2 - x^2 - 10x + 4x - 6x + 29 - 9
x^2 - 12x + 20 = 0
(x - 10)(x - 2) = 0
x = 2, 10.
x cannot be 2 because that would make one side = 2- 5 = -3 so the answer is x = 10.
Ina Almeida
Solve each equation.
16x=176
Answer:
x = 11
Step-by-step explanation:
16x = 176 is the problem
You bring the 16 over the the other side.
The equation changed.
x = 176 ? 16. You don't no the operation.
If the other side is number + variable,
it equals to division cause division is
the reverse operation.
That means, the equation changes again!
x = 176/16 Its easier to reduce cause its a
2+ number one.
176/16 reduced is 11
What is the length of BC?
A) 9 units
B) 11 units
C )15 units
D) 16 units
Answer: d
Step-by-step explanation:
Stay safe have a good day
Answer:
C. 15 units
Step-by-step explanation:
If this is a late answer, I'm very sorry. However I hope that others may find this helpful :)
What is the decimal multiply to increase by 6.1%
Answer:
1.061
Step-by-step explanation:
not really sure if this is what you're looking for