Answer:
Here is a generic way to set up this type of algebra problem.
d = total amount of dirt at the site (tons)
r = rate or removal (tons/hr)
t = time it takes to remove all of the dirt (hr)
d = rt
The total amount of dirt equals the removal rate times hours spent removing all the dirt.
Since you want to solve for t, divide both sides by r
t = d/r
1. Assume O P || NM.
What are possible lengths for each of the following segments?
LO, ON, LP, and PM
Choose one measure for each segment. You can start with the length of any segment, but remember to consider the
Triangle Proportionality Theorem when choosing the measurements.
2. How did you decide what values to use? Explain how you chose your measurements, and why you know they are
possible measurements for the segments.
3. What is a different method you could use to choose these numbers? Explain your answer.
1. Assuming OP || NM, considering the triangle proportionality theorem possible measurements for the segments are: ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units
2. The possible values are decided by assuming [tex]\frac{ON}{LO} = \frac{PM}{LP} = 3[/tex] using the triangle proportionality theorem.
3. Another method is applying the AA Similarity Theorem to compare corresponding side lengths of the triangles that are proportional to each other.
What is the Triangle Proportionality Theorem?Triangle proportionality theorem states that if a line is parallel to one of the sides of a triangle intersects two of the other two sides, it divides the two sides into proportional corresponding segments.
1. Assuming that OP || NM, we would apply the triangle proportionality theorem to have the following ratio:
[tex]\frac{ON}{LO} = \frac{PM}{LP}[/tex]
Using the above ratio, we can choose the following possible lengths for the segments:
ON = 3 units
LO = 1 unit
PM = 6 units
LP = 2 units
2. The values are decided assuming that the ratio, [tex]\frac{ON}{LO} = \frac{PM}{LP} = 3[/tex]
This means that the ratio of the proportional segments, irrespective of the their measurement should give you an assumed equal ratio of 3:1.
Therefore, since:
[tex]\frac{3}{1} = 3\\\\\frac{6}{2} = 3[/tex]
The measurements, ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units are therefore possible measurements.
3. Using the AA Similarity Theorem to prove that ΔLPO ≅ ΔLMN, the corresponding sides of both triangles will be proportional.
LP/LM = LO/LN = PO/MN
We can use this to choose possible measurements while assuming a ratio between the proportional sides of both triangles.
Let's assume that: LP/LM = LO/LN = PO/MN = 1/4
Let,
LO = 1 unit
LN = 4 units
Therefore, ON = LN - LO = 4 - 1 = 3 units.
Same way the other possible measures can be gotten provided a ratio is assumed.
Learn more about triangle proportionality theorem on:
https://brainly.com/question/24804474
are in the ratio of 3:4. If the first number is decreased by 5, and
the second number is increased by 5, the new ratio will be 2 : 3. What are the two
numbers?
Answer:
the first number is 75 and the second number is 100
The sum of two angles is 90°. The difference of twice the larger angle and the smaller angle is 105º. The system of linear equations:
x + y = 90
2x - y = 105
represents this situation where x is the larger angle and y is the smaller angle. Find the measures of the two angles.
SHOW YOUR WORK!!
(this is linear combinations)
Answer:
x = 65, y = 25Step-by-step explanation:
Given system of linear equations:
x + y = 90 2x - y = 105Add up the equations to eliminate y:
x + 2x = 90 + 1053x = 195x = 65Find y:
y + 65 = 90y = 90 - 65y = 25If y = 6, what is the value of x given 8x + 5y = 62?
Answer:
Answer:
2sqearhahah joke bye hahah
the answer: y = 6 ⇔ x = 4
ok done. Thank to me :>
Find the sum of the first 11 terms of the geometric sequence shown below.
2, 6, 18, 54, ...
Answer:
177146
Step-by-step explanation:
2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098
The year 2004 has the units digit equal to twice the thousands digit. How many years will it be before this next happens?
Step-by-step explanation:
the answer should be 1004
Select the expressions that represent the same quantity as 3(n + 4). 3 correct answers pls help
Answer:
3n + 12
n + n + n + 4 + 4 + 4
(n+4) + (n+4) + (n+4)
Step-by-step explanation:
Simplify 3(n+4).
3 x n = 3n
3 x 4 = 12
3n + 12
Expand.
3(n+4)
3 x n = n + n + n
3 x 4= 4 + 4 +4
And
3(n+4)
= 3 x (n+4) is equal to (n+4) +(n+4)+(n+4)
100 drops of water weigh 9 grams so how many tons do 100 million drops of water weigh
Answer:
100 drops of water weigh about 9 grams. So how many tons do 100 million drops of water weigh?
Step-by-step explanation:
please mark my answer in brainlist plz
The table shows the relationship between r and s, where s is the independent variable.
Which equation represents the relationship between r and s?
Answer:
burrito
Step-by-step explanation:
burrito
Solve.
Sophia wants to buy a pair of shoes online. Shop X has a price of 35.90 CAD. The price at
Shop Y is 21 British pounds (GBP). Compare the prices using Canadian dollars. If 1 CAD =
0.75 GBP, which shop offers a better deal? Explain.
Answer:
Shop Y
Step-by-step explanation:
In order to compare, we need to make both the same units first. Since they give us the conversion factor 1 CAD=0.75 GBP, we can plug this in to the shoes from shop X. We get 35.90*0.75=26.93 GBP.
Now we can compare. Since 21 GBP < 26.93 GBP, we can see that shop Y's shoes are cheaper, and therefore the better deal.
-3x-8? I would like to know the steps also
Answer:
24
Step-by-step explanation:
a - and a - make a +
so -3 x -8 becomes positive
so 3 x 8 = 24
Which expression is equivalent to 142 +35 - 2142
7z(2-5-39)
7zy(2-5-3)
21-5-39
7(2z-5-39)
HELP FAST
Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point- slope form is y + 1= 2/3 (x -8)
Answer:
2x - 3y = 19
Step-by-step explanation:
y=(-5--1)/(2-8)*(x -8)+-1
y=-4/-6(x-8)-1
3y=2x-16-3
3y=2x-19
2x-3y=19
Tomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?
Answer:
$o.44
Step-by-step explanation:
20/100×0.55 =0.11
0.55-0.11 = 0.44
Find the value of x.
x=__ (simplify your answer. Type an exact answer isn’t radicals as needed.)
[tex] {5}^{2} + {x}^{2} = {8}^{2} [/tex]
[tex]25 + {x}^{2} = 64[/tex]
Subtract both sides 25
[tex]25 - 25 + {x}^{2} = 64 - 25[/tex]
[tex] {x}^{2} = 39[/tex]
Thus :
[tex]x = \sqrt{39} [/tex]
[tex]x = 6.245[/tex]
Expand ; 3(1-x/2)^2
Answer:
[tex]3 {( \frac{1 - x}{2}) }^{2} = 3 \times {(1 - x)}^{2} \div {2}^{2} \\ =3 \times (1 - 2 \times 1 \times x + {x}^{2}) \div 4 \\ = 3 \times (1 - 2x + {x}^{2} ) \div 4 \\ = \frac{3}{4} (1 - 2x + {x}^{2})[/tex]
[tex] \bold \pink{ \underline{hope \: it \: helps}}[/tex]
The sum lf two numbers is 10. The difference between the two numbers is 4: what is the smaller numerical?
Answer:
3
Step-by-step explanation:
The two numbers are 3 and 7, and 3 is the smaller one
Step-by-step explanation:
x, y are the 2 numbers.
x + y = 10
y - x = 4
that gives us
y = x + 4
and we use that in the first equation :
x + x + 4 = 10
2x = 6
x = 3
y = x + 4 = 3 + 4 = 7
so, yes, the smaller number is 3.
I need help with this question
How many eighty-fours are in 672
Find the measure of x.
48.99
138
X
x = [?]
Round your answer to the nearest tenth.
Enter
Tan(48.9) = x/138
X = 138 x tan(48.9)
X = 158.2
Slove for x : 4x - t = a
we have: 4x - t = a ⇒ 4x = a + t ⇒ x = [tex]\frac{a+t}{4}[/tex]
ANSWER: x = [tex]\frac{a+t}{4}[/tex]
ok done. Thank to me :>
Someone help me click this solve it using < or >
Answer:
<
<
>
Step-by-step explanation:
To compare fractions, we need to make sure that both fractions have the same denominator. For example, for question 4, the least common multiple of 5 and 3 is 15, so we need to multiply both fractions by some numbers to get the denominators equal to 15. In this case, we will multiply the first fraction, [tex]\frac{3}{5}[/tex] by 3 to get [tex]\frac{9}{15}[/tex] and the second fraction, [tex]\frac{3}{3}[/tex] by 5 to get [tex]\frac{15}{15}[/tex].
Once we have the same denominator, we can simply compare the value of the numerators and see which one is larger. For question 4, since 9 is smaller than 15, the first fraction is smaller than the second. So the correct inequality to represent this would be "<".
To do these sums, we have to first convert them to like fractions.
For the first one:
LCM of denominators 5 and 3 is 15.[tex] \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15} [/tex][tex] \frac{3}{3} = \frac{3 \times 5}{3 \times 5} = \frac{15}{15} [/tex]Since,[tex] \frac{9}{15} < \frac{15}{15} [/tex]Therefore,[tex] \frac{3}{5} < \frac{3}{3} [/tex]For the second sum:
LCM of denominators 6 and 8 is 24.[tex] \frac{4}{6} = \frac{4 \times 4}{6 \times 4} = \frac{16}{24} [/tex][tex] \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} [/tex]Since[tex] \frac{16}{24} < \frac{21}{24} [/tex]Therefore,[tex] \frac{4}{6} < \frac{7}{8} [/tex]For the third one:
LCM of denominators 10 and 5 is 10.[tex] \frac{6}{10} = \frac{6 \times 1}{10 \times 1} = \frac{6}{10} [/tex][tex] \frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10} [/tex]Since,[tex] \frac{6}{10} > \frac{4}{10} [/tex]Therefore,[tex] \frac{6}{10} > \frac{2}{5} [/tex]Hope you could get an idea from here.
Doubt clarification - use comment section.
A system of equations is graphed on the coordinate plane. y = -3x - 9 y = 3x + 9 What is the solution to the system of equations? (0,3) ( (-3,0) (3,0) (0,-3)
Answer: B. (-3, 0)
Step-by-step explanation:
y = -3x - 9...(1)
y = 3x + 9...(2)
Substitute (1) into (2)
3x+9=-3x-9
6x=-18
x=-3
Substitute y=0 into (1)
y=3(-3)+9
y=0
Therefore, the solution to the system is the ordered pair (-3, 0)
a study of 1,400 cats revealed that 18 out of every 210 cats in the population have black hair. based on the results of the study, how many cats in the population do NOT have black hair?
Answer:
1280
Step-by-step explanation:
divide 1400 by 210
then multiply by 18
subtract that answer (120) from 1400,
and you get 1280
A 15 kg ball is thrown into the air. It is going at 4m/s when thrown. How much potential energy will it have at the top?
Answer:
A ball is thrown vertically upward with a speed of 25.0 m/s
Find the exact value of tan 5 π .
Answer:
0.274714403
Step by step explanation:
Which statement is false?
A. The lines of symmetry in a circle are too many to count.
B. A scalene triangle has no line of symmetry.
C. A trapezoid has only one line of symmetry.
D. A regular octagon has only four lines of symmetry.
Answer:
options a is answer
Step-by-step explanation:
options a is answer
Gino had 89€.
He used one
quarter to buy
a gumball. How
much money does
Gino have left?
Answer: 64€
Step-by-step explanation:
89 - 25 = 64
Can i have brainliest
Answer:
64 cents
Step-by-step explanation:
Assuming the 'c' symbol represents an American currency symbol
HELP!!!
graph and label the following real numbers on the number line:
Answer:i dont know yet
Step-by-step explanation:
find the numbered angles 1 to10
Answer:
6
Step-by-step explanation:
im not sure but I think 6 is the answer