Answer:
3) Reflexive Property
4) SAS
Step-by-step explanation:
ST ≅ TS1. The Reflexive Property states that: a quantity is congruent (equal) to itself.
Example: a = a In this case, it could be seen as ST ≅ ST because they have/are the same side(s).RST ≅ UTS1. SAS theorem states that: two triangles are equal if two sides and the angle between those two sides are equal.
Example: RST ≅ UTS (both have S and T) Can be seen as RST ≅ UST as well to make their similarity more evident.2. Because it is given that RS ≅ UT and RT ≅ US, and it includes the same 2 lines being equal as given/said, RST ≅ UTS because of SAS (theorem).
what is 8 2/10 minus 4 1/3
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
58 /15
Decimal Form:
3.8 6
Mixed Number Form:
3 13 /15
Step-by-step explanation:
REAL LIFE A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet. Abo
azardous waste can the container hold? Round your answer to the nearest whole number. (1 ft 7.5 gal)
Answer:
It can hold up to [tex]1.256ft^3[/tex] of waste
Step-by-step explanation:
Given
[tex]D = 1.5ft[/tex] -- Diameter
[tex]h = 1.6ft[/tex] -- height
Required
Determine the amount of waste it can hold
This simply means that we calculate the volume of the cylindrical container.
And this is calculated using:
[tex]Volume = \pi r^2h[/tex]
Where
[tex]\pi = 3.14[/tex]
and
[tex]r = \frac{D}{2}[/tex]
[tex]r = \frac{1.5}{2}[/tex]
[tex]r = 0.75[/tex]
So, we have:
[tex]Volume = 3.14 * 0.5^2 * 1.6[/tex]
[tex]Volume = 1.256ft^3[/tex]
Hence, it can hold up to [tex]1.256ft^3[/tex] of waste
The amount of waste a cylinder can hold nearest to the whole number is 3 cubic feet.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet.
The amount of waste a cylinder can hold will be given by the volume of the cylinder.
The volume of the cylinder will be
[tex]\rm Volume = \dfrac{\pi}{4} d^2 h[/tex]
We have
d = 1.5 ft
h = 1.6 ft
Then
[tex]\rm Volume = \dfrac{\pi}{4} * 1.5^2 * 1.6\\\\\rm Volume = \dfrac{\pi}{4} *2.25 * 1.6\\\\\rm Volume = 2.82 \approx 3 \ ft^3[/tex]
More about the cylinder link is given below.
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25, 27, 24, 26, 40
A. What is the mean of the data?
B. What is the median of the data?
Given:
A =
1 −1
−2 3
B =
1 5
8 −8
C =
1 2
3 4
Solve:
AX + B = C
Answer:
-5 3,
-5 6
Step-by-step explanation:
assignment on ed
Write an algebrale expression for the phrase "elghe more than three times a
number
x 3
Step-by-step explanation:
What is the value of "twelve more than the quotient of a number and two, decreased by four" when n = 4?
4
6
10
14
Answer:
Maybe 10 Is the answer
Answer:
the answer is 10
Step-by-step explanation:
A mug is 3/7 full. The mug contains 4/7 of a cup of water. Find the capacity of the mug.
Answer:
7/6 cups
Step-by-step explanation:
Mug is 2/7 full
Amount of water in the mug = 1/3 cup
Assume the full capacity of the mug = m
Then the current capacity of water in mug = (2/7) of m = (2/7)m
Current capacity of water in mug is equivalent to 1/3 cup of water
Hence,
(2/7)m = 1/3
2m/7 = 1/3
Cross multiply
(2m * 3) = 7 * 1
6m = 7
m = 7/6
m = 1 1/6 cups
How so you solve -5r+2r is greater than 54
Answer:
r < -18
Step-by-step explanation:
-5r+2r is greater than 54 can be written symbolically as:
-5r+2r > 54
Combining the r terms, we get:
-3r > 54
Solving this result for r requires reversing the direction of the inequality sign:
r < -54/3, or r < -18
Answer:
r < -18
Step-by-step explanation:
[tex]-5r+2r > 54\\\\\rightarrow \text{Greater Than - } >\\\\\\\text{Combine the Like Terms}\\\\-5 + 2 = -3\\\\\text{So:}\\\\-5r+2r=-3r\\\\\\-3r>54\\\\\text{Divide by -3: }\\\\\frac{-3r>54}{-3}\\\\\boxed{r<-18}\\\\[/tex]
We switch the inequality sign if we multiply or divide both sides of the inequality by a negative number.
Hope this helps.
Which number rounds to 260 when rounded to the nearest 10?
Answer:5, 6, 7, 8, or 9.
Step-by-step explanation:
4. Use the two patterns below. What are the first four ordered pairs formed from
corresponding terms of the two patterns? *
Add 4: 0, 4, 8,
Add 2: 0, 2, 4,
Answer:
0,2,4,8
Step-by-step explanation:
:)
Solve for t. d= -16t^2 + 12
Answer:
d= -16t^2 + 12
Step-by-step explanation:
2.1 Factoring d + 16t2 - 12
Answer:
t=3/8+-(sqr)9-4d/8
Step-by-step explanation:
Item 8 What is 31.5632 rounded to the nearest tenth?
Answer:
31.6
Step-by-step explanation:
a farmer has horses and cows if the radio of horses to cows is 3 to 5 and there are 15 horses how many animals are there
Answer:
Step-by-step explanation:
h/c=3/5=15/c
c=25, 25+15=40 animals
If a triangle has sides of 6, 8, and 9, then it is call a________ triangle
Answer:
Right triangle
Step-by-step explanation:
What is the monthly payment for a $14,000 loan for 6 years with an annual interest rate of 3.1%?
Answer:
Calculate the monthly and total repayment cost of your personal loan using the ... 1 year, 2 years, 3 years, 4 years, 5 years, 6 years, 7 years, 8 years, 9 years ... annual interest rates (APRs), you can see how your monthly loan repayments ... We compare loans that can be paid back over terms of between one and 25 years.
what to multiply from 3/4 to 1
Brainiest for the right answers...
Answer:
9. B 10. C 11. B 12. B
Step-by-step explanation:
Slope- intercept equation from graph
To find the slope-intercept form
--> we need to find the slope
--> we need to find the y-intercept
The point at which the x-coordinate equals zero
Let's find the slope
--> let's pick any two pair of points
(0, -3) & (6, 0)
(x1, y1) ==> (0, -3)
(x2, y2) ==> (6, 0)
--> our slope formula is:
[tex]\text{Slope}=\dfrac{0--3}{6-0}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]
Let's find our y-intercept
--> based on the definition, '-3' is our y-intercept
Let's plug in our slope & y-intercept in the slope-intercept form:
[tex]y=\dfrac{1}{2}x-3[/tex] <== Answer
Oxford Junior High's students were asked to report their favorite snacks.
Chips
40%
Grapes
60%
Favorite snacks
If 100 people were surveyed, how many people voted for grapes?
Which line has a slope of 0?
y= -10
2y + 6x = 0
x= – 5
y=x+5
When the equation of any line reads "y = a number",
its graph will always be a horizontal line, meaning zero slope.
So the equation y = -10 has a slope of 0 which
means its a flat or horizontal line.
Mr. Tankard's minivan has a 21 gallon
tank. He can travel 354 miles on one
tank of gas. How many miles per gallon
does the minivan get? How many tanks
of gas will he need to travel 870 miles?
Answer:
1. 16.86 or 16[tex]\frac{6}{7}[/tex] miles per gallon.
2. 2.46 tanks of gas
Step-by-step explanation:
1. 354 ÷ 21= 16.86
Wor
Stug
Nor
Par
7) The table shows the prices for games in Bella's soccer league.
Her parents and grandmother attended a soccer game. How
much did they spend if they all went together in one car?
(Example 3)
a. Write an expression that represents the cost of one
carful of nonstudent soccer fans. Use x as the number
of people who rode in the car and attended the game.
is an expression that represents the cost
of one carful of nonstudent soccer fans.
b. Since there are three attendees, evaluate the expression
12x + 5 for x = 3.
12) +5=__ +5 =
The family spent __ to attend the game.
A middle school took all of its 6th grade students on a field trip to see a ballet. The students filled 1898 seats, which was 73% of the total number of seats in the theater. How many total seats were in the theater?
Answer:
x = 2600 seats.
Step-by-step explanation:
Let the total number of seats be x.
Given the following data;
Number of seats occupied = 1898 seats
Percentage = 73%
To find the total number of seats;
Translating the word problem into an algebraic equation, we have;
[tex] \frac {73}{100} * x = 1898 [/tex]
Cross-multiplying, we have;
[tex] 73x = 1898 * 100 [/tex]
[tex] 73x = 189800 [/tex]
[tex] x = \frac {189800}{73} [/tex]
x = 2600 seats.
Therefore, the total number of seats in the theater are 2600 seats.
toby has already cycled 6 kilometers this year, plus he plans to cycle 14 kilometers during each trip to work. after 3 trips to work, how many kilometers will toby have cycled?
Answer:
48 kilometers
Step-by-step explanation:
If Toby has traveled to work 3 times, and each time he traveled 14 kilometers, to find out how many kilometers he's traveled total, all you have to do is multiply 14 x 3, which equals 42. To find out how many kilometers he's traveled in all this year, just add the amount of kilometers he has already traveled. (42+6)
What is the slope of the line that passes through (5,-1) and (8,2)
Answer:
m=1 (slope)
Step-by-step explanation:
m= change in y / change in x
m= (y2 - y1) / (x2 - x1)
m= (2-(-1))/ (8-(5))
simplify
m= 3/3 = 1
What's 506.25 roundest to the nearest whole
Answer:
506
Step-by-step explanation:
Diane has 7 meters of fabric to make a dress. One meter is approximately 1.1 yards. How many yards of fabric does Diane have?
Answer:
7.7 yards & 14.04 gallons
Step-by-step explanation:
so theres 1.1 yards per meter which can be written out as
1.1 yds/1 meter
multiply that by 7 meters would get you 7.7 yards
same with the punch:
0.26 gallons/ 1 liter times 54 liters = 14.04 gallons
30 = 2.5x
What is x equal to? Help please!
Answer:
x = 12
Step-by-step explanation:
30=2.5x for you to find the value of x divide both side by 2.5.
30 = 2.5x
2.5 2.5
12 = x
To check your answer, substitute the value of x.
30 = 2.5 (12)
30 = 30
If it is equal, your answer is correct!
x is equal to 12 in the given equation 30 = 2.5x.
To find the value of x in equation 30 = 2.5x, we can solve for x by isolating it on one side of the equation.
Given equation: 30 = 2.5x
To isolate x, we need to divide both sides of the equation by 2.5:
30/2.5 = (2.5x)/2.5
Simplifying this equation, we have:
12 = x
Therefore, x is equal to 12.
By dividing both sides of the equation by 2.5, we effectively cancel out the multiplication of x by 2.5, leaving us with the value of x. So, when 12 is substituted for x in the original equation, 2.5 times 12 equals 30, confirming that the value of x = 12 satisfies the equation.
Hence, x is equal to 12 in the given equation 30 = 2.5x.
To learn more about the equation;
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#SPJ6
Which could a dilation result in?
Answer:
1. A figure getting smaller
2. figure getting larger
HELP PLSSSSSSS PLSSS I BEGH PLSSSSSSS
Step-by-step explanation:
Unit rate means divide so divide the oz by the cost. Which one is the better cost