Answers
========================================
Explanation:
The ratio QR : RS : ST is equal to 1 : 4 : 5
This means we have the following three equations
QR = x RS = 4x ST = 5xFor some positive number x.
Note the ratio QR : RS : ST turns into x : 4x : 5x, which reduces to 1 : 4 : 5 when we divide all three parts by x .
Along with those three equations, we'll also use QT = 40 as well.
Now turn to the segment addition postulate. Plug in the equations mentioned earlier, and solve for x .
QT = QR + RS + ST
40 = x+4x+5x
40 = 10x
10x = 40
x = 40/10
x = 4
So we know that
QR = x = 4
RS = 4x = 4*4 = 16
ST = 5x = 5*4 = 20
-----------
As a check,
QR + RS + ST = 4 + 16 + 20 = 40
which is the same as QT = 40
Therefore, we've confirmed that QR + RS + ST = QT is correct and we've confirmed our answers.
Related Questions
Help asap
A local hamburger shop sold a combined total of 555 hamburgers and cheeseburgers on Saturday. There were 55 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?
Answers
Answer:
There were 250 hamburgers sold on Saturday.
Step-by-step explanation:
∵ A local hamburger shop sold a combined total of 555 hamburgers
and cheeseburgers on Saturday
→ Assume that the shop sold x hamburgers
∵ The shop sold x hamburgers
∵ There were 55 more cheeseburgers sold than hamburgers
→ That means the number of cheeseburgers is greater than the
number of hamburger by 55
∴ The shop sold x + 55 cheeseburgers
∵ The shop sold 555 burgers
→ Add the two types of burgers and equate the sum by 555
∴ x + x + 55 = 555
∴ 2x + 55 = 555
→ Subtract 55 from both sides
∴ 2x + 55 - 55 = 555 - 55
∴ 2x = 500
→ Divide both sides by 2 to find x
∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{500}{2}[/tex]
∴ x = 250
∵ x represents the number of hamburgers
∴ There were 250 hamburgers sold on Saturday.
9/10 / -6/5 WHAT IS THE ANSWER?!?!?!?!?
Answers
Answer:
the answer is [tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
80% of the doctors surveyed believe exercising 30 minutes a day help you live a healthier life. If 240 doctors believe in exercising, how many were surveyed.
Answers
Answer:
300 is what I got
Step-by-step explanation:
Question 2
2.5 pts
A firefighter sees a woman trapped in a building 91 feet up from the bottom floor. If the
firetruck is parked 67 feet away from the bottom of the building, at what angle of elevation, to
the nearest degree, should the firefighter extend the ladder to reach the woman?
Previous
Answers
Answer:
The firefighter should extend the ladder at 54° of elevation.
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
Tangent Ratio:
[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
The woman is trapped at 91 feet up from the ground, and the firetruck is 67 feet away from the building.
The wall, the ground, and the ladder form a right triangle, where θ is the horizontal angle of the ladder.
Being the height of the woman the opposite leg and the distance where the firetruck is parked, the adjacent leg:
[tex]\displaystyle \tan\theta=\frac{91}{67}=1.3582[/tex]
The angle is calculated as the inverse tangent:
[tex]\theta=arctan(1.3582)\approx 54^\circ[/tex]
The firefighter should extend the ladder at 54° of elevation.
Bernard says “When you halve a whole number that ends in 8, you always
get a number that ends in 4”
Write down an example to show that Bernard is wrong.
is this a trick question?
Answers
Answer:
Bernad is WRONG.
Step-by-step explanation:
Let us take the number '18' (ends with 8)
The half of 18 is '9' (doesn't end with 4)
Let us take the number '38' (ends with 8)
The half of 38 is '19' (doesn't end with 4)
Therefore, Bernard is wrong.
Bernard is wrong because When you halve a whole number that ends in 8, you always cannot get a number that ends in 4”
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Bernard says “When you halve a whole number that ends in 8, you always get a number that ends in 4”
It can be written mathematically:
Let's suppose the number is '18' (ends with 8)
The half of 18 = 9 (doesn't end with 4)
Let's suppose the number is '38' (ends with 8)
The half of 38 = 19 (doesn't end with 4)
Thus, Bernard is wrong because When you halve a whole number that ends in 8, you always cannot get a number that ends in 4”
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
Is y=1/2x-1 proportional
Answers
Answer: No
Step-by-step explanation: Since y=2x+1 does not pass through the origin (i.e. there exists the constant term of 1 ), the variables y and x are not directly proportional - though, they do have a linear relationship.
Find the product.
(2a^2+b) (3a-3b)
Enter the correct answer.
Answers
=============================================
Work Shown:
(2a^2+b)(3a-3b)
c(3a-3b) ..... let c = 2a^2+b
3ac-3bc .... distribute
3a(c)-3b(c)
3a(2a^2+b)-3b(2a^2+b) .... plug in c = 2a^2+b
3a(2a^2)+3a(b)-3b(2a^2)-3b(b) ... distribute
6a^3+3ab-6a^2b-3b^2
6a^3-6a^2b+3ab-3b^2
You could also use the FOIL rule to get the same result. The box method is a visual way to keep track of the terms.
Suppose that 2000 is placed in an account that pays 13% interest compounded each year. Assume that no withdrawals are made from the account. Do not do any rounding.
A:Find the amount in the account at the end of 1 year.
B: Find the amount in the account at the end of 2 years.
Answers
The amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A = P(1+r/100)ⁿ
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
As per the question, the given data will be:
p = $2000
r = 13%
t = 1 year
To calculate the amount in the account at the end of 1 year.
A = P(1+r/100)ⁿ
Substitute the values of p,r, and t in the formula,
A = 2000(1 + 13/100)¹
A = 2000(1 + 0.13)¹
A = 2000(1.13)
A = $2260
To calculate the amount in the account at the end of 2 years.
A = 2000(1 + 13/100)²
A = 2000(1 + 0.13)²
A = 2000(1.13)²
A = $2553.8
Thus, the amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.
To learn more about Compound interest click here:
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Select all the statements about the figure that MUST be true. Р Q 6n + 3 S 4n + 11 R PR=15 QS=21 QP=13 n=7 SR=27 QR=54
Answers
Answer:
Options (5) and (6)
Step-by-step explanation:
From the picture attached,
In right triangle ΔPSQ and ΔPSR,
PS ≅ PS [By reflexive property]
PQ ≅ PR [Given]
ΔPSQ ≅ ΔPSR [By HL property of congruence]
Therefore, QS ≅ SR [CPCTC]
(6n + 3) = (4n + 11)
6n - 4n = 11 - 3
2n = 8
n = 4
QS = (6n + 3)
= 6×4 + 3
= 27
SR = (4n + 11)
= 4×4 + 11
= 16 + 11
= 27
QR = QS + SR
= 27 + 27
= 54
Therefore, Options (5) and (6) are the correct options.
Find the 39th term of the following sequence. 17,11, 5, -1
Answers
Answer:
-330
Step-by-step explanation:
a39= 17+ (39-1) * -6
17+ 38 = 55
55*-6 = -330
Luis had 4 boxes of party favors. One full box contained 16 bags of favors and each bag had 5 items in it. What is the total number
items that Luis had in his possession?
O A. 360
B. 320
O C. 170
OD. 7.5
Answers
Find the slope of the line that passes through the points (-10, 2) and (5, 3).
Answers
Answer:
15
Step-by-step explanation:
PLEASE HELP PLEASE I NEED IT TODAY
Answers
Answer:
D
:) Hope this helps.
Step-by-step explanation:
Given: AB ∩ CD ∩ GF = O, E ∈ interior of ∠GOB, H ∈ interior of ∠AOF. Without changing the picture indicate: Vertical angle to ∠GOB: ____________
Answers
Answer:
The verticle angle to GOB is AOF.
Step-by-step explanation:
Look at the picture, it's pretty clear
Evaluate the expression for x = 1.7. Enter your answer in the box.
x2 + 3x
Answers
Answer:
7.99
General Formulas and Concepts:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep-by-step explanation:
Step 1: Define
x² + 3x
x = 1.7
Step 2: Solve
Substitute: 1.7² + 3(1.7)Exponents: 2.89 + 3(1.7)Multiply: 2.89 + 5.1Add: 7.99Plzzzzzz help me with all 3 answers
Answers
Answer:
1) is arithmetic (because your adding 10)
2) is not arithmetic
3) is arithmetic ( because your adding 10)
Step-by-step explanation:
If I accumulate two gallons of SHlT from an undisclosed location and I sell one gallon but in the process get two more gallons how many will I have left
Answers
Answer:
3 gallons
Step-by-step explanation:
2 - 1 + 2 = 3
Divide (-3x^2 - 9x) ÷ (x + 3)
please explain/show work! <33
Answers
Step-by-step explanation:
[tex]( - 3 {x}^{2} - 9x) \div (x + 3) [/tex]
This is the original equation so you will open the brackets.
[tex] - 3 {x}^{2} - 9x \div x + 3[/tex]
The x will cross the division sign making it times x.
[tex]3 {x}^{2} - 9x \times x = 3[/tex]
So you will proceed to multiply the 9x by x making it;
[tex]3 {x}^{2} - 9 {x}^{2} = 3 [/tex]
So you will subtract 9x² from 3x² which won't be possible so it will be negative.
[tex] - 6 {x}^{2} = 3 [/tex]
Then you will square root both sides making it;
[tex] - \sqrt{6 {x}^{2} } = \sqrt{3} [/tex]
So the ² will cancel the √ leaving
-6x=√3
-6x=1.73(Divide both sides by -6)
x=0.288
That's the final answer.
please help please help please help please help
Answers
Answer:
it is -5
Step-by-step explanation:
Answer:
Correct Answer = -5
Step-by-step explanation:
can someone help me with this question 2x+3=15 is x
Answers
Answer:
x=6
Step-by-step explanation:
2x+3=15
subtract 3 on both sides
2x=12
x=6
GUYS MORE HELP LIKE FAST
Answers
Step-by-step explanation:
4rhdhhdjddibdjdbdjd
Find the slope of the line passing through the points (-5, 7) and (-7, 1).
Answers
Answer:
[tex]m=3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, 7)
Point (-7, 1)
Step 2: Find slope m
Substitute: [tex]m=\frac{1-7}{-7+5}[/tex]Subtract/Add: [tex]m=\frac{-6}{-2}[/tex]Divide: [tex]m=3[/tex]And we have our final answer!
the graph of a linear function f passes through the point (-1,9) and has a slope of -3. what is the zero of f?
answer choices:
-6
4
2
-2
Answers
Answer:
Answer: x=2 (third option)
Step-by-step explanation:
Equation of a line
Being m is the slope and (h,k) is a point through which the line passes, the point-slope form of the equation of a line is:
y - k = m ( x - h )
We have the function f passes through the point (-1,9) and has a slope of m=-3. The point-slope equation of the line is:
y - 9 = -3 ( x - (-1) )
Operating:
y - 9 = -3 ( x + 1 )
y - 9 = -3x - 3
Adding 9:
y = -3x + 6
To calculate the zero of the function we set y=0 and solve for x:
-3x + 6 = 0
Subtracting 6:
-3x = - 6
Dividing by -3
x = - 6 / ( - 3 )
x = 2
Answer: x=2 (third option)
Does this image have a set of inputs to a set of possible outputs where each input is related to exactly one outputs Yes or No?
Explain your answer
Answers
Answer: Yes
This graph passes the vertical line test. This is a test where we try to draw a single vertical line through more than one point on the curve. In this case, such a thing is not possible. Any input x leads to exactly one output y. This graph is a function.
On a coordinate plane, a line goes through points (1, 9) and (4, 3).
What is the slope of a line that contains the points (1, 9) and (4, 3)?
Answers
Answer:
yes
Step-by-step explanation:
l,l,;,;,;,;l,;,;
I need help :( this is like super hard I dont know what the anser is
Answers
Answer:
c
Step-by-step explanation:
16 divided by 4 equals 4
Answer:
B. 1/4
Step-by-step explanation:
4 divided by 16 is 0.25 which is 1/4
Learn with an example
A triangle has angle measurements of 121°, 35°, and 24°. What kind of triangle is it?
acute
right
obtuse
Answers
Answer:
Obtuse
Step-by-step explanation:
because 121
game of bingo with 33 outcomes is created to allow 6 people to win the game for every 27 people who do not win. which ratio in the form of people who win to people who do not win? (Again....Please help with this ;-; )
Answers
Answer:
Winners:Losers
2:9
Step-by-step explanation:
Winners:Losers
6:27
[÷3]
2:9
Answer:
Ratio 2:9
Step-by-step explanation:
For every 27 winner there are 6 people who win
For every 6 people who win 27 people do not win
So the ratio is 6:27 This can be simplified by dividing by 3
Ratio 2:9
Write as an exponent with the base of b:
[tex]bb^{m}[/tex]
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]b. {b}^{m} = {b}^{1 + m} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Brainiest!!!!!!! please help
Answers
The answer to this question is B, No solution