Answer:
Step-by-step explanation:
A right angle is an angle whose measure is equal to [tex]90^{o}[/tex]. As the measure of two right angles equals angle on a straight line, while four right angles equal the sum of angles at a point.
Given: <ABC, <DEF are right angles.
The missing reasons in the steps of the proof are:
A: m<ABC = [tex]90^{o}[/tex] and m<DEF = [tex]90^{o}[/tex] (Meaning of a right angle)
B: m<ABC = m<DEF (By right angle property)
C: <ABC ≅ <DEF (Congruence property of angles)
Answer:
A: definition of right angle
B: substitution property
C: definition of congruent angles
Step-by-step explanation:
John's Mathematics exam mark this year is increased by 5% to 84. Find his Mathematics exam mark
last year.
Answer:
80%
Step-by-step explanation:
Let's call the past exam mark m,
m*105%=84
m*105/100=84
m=84/(105/100)
m=80
Hope this helps!
Answer:
80
Step-by-step explanation:
new value = 84
old value = n
can use percent change formula: (new value - old value) / old value = 5/100
[tex]\frac{84-n}{n}[/tex] = [tex]\frac{5}{100}[/tex]
cross-multiply (you can simplify 5/100 to be 1/20 first): 20(84 - n) = n
1680 - 20n = n
1680 = 21n
n = 80
The young wizard, Darpinido, got 16 dragons and 12 griffins for his birthday. But his sister, In grid, left the gate open and more a=than 6 dragon and more than 3 griffins flew away. Now the young wizard has more griffins than dragons. What is the greatest number of dragons Darpinido could have now?
Answer:
7 Dragons.
Step-by-step explanation:
16 dragons 6+ dragons gone
12 griffins 3+ griffins gone
Let's say one more than 3 griffins are gone: 4 griffins are gone.
Then:
Griffins now = 8
Dragons now = <8
One less than 8 dragons is 7 dragons.
In the end, 4 griffins and 9 dragons had left.
PUZZLE: six wolves catch six lambs in six minutes. How many wolves will be needed to catch sixty lambs in sixty minutes?
no, the answer is not sixty!!
pleasee help me ASAP ITS DUE SOON
I just need to know
1. slope
2. y-intercept
3. slope intercept form
(-5, 2) ⇒ x₁ = -5, y₁ = 2
(7, -1) ⇒ x₂ = 7, y₂ = -1
Slope:
[tex]\bold{m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-2}{7+5}=\dfrac{-3}{12}=-\dfrac14}[/tex]
Slope intercept form:
y = mx + b
Plug m and (7, -1) :
-1 = -¹/₄(7) + b
-1 + ⁷/₄ = b
b = ³/₄ ← y-interceptTherefore slope intercept form of h(x):
h(x) = -¹/₄x + ³/₄What is RU?
A.20
B.30
C.12
D.15
Answer:
a
Step-by-step explanation:
The segment RT is a perpendicular bisector and means Δ RSU is isosceles, then the 2 legs are congruent, that is
RS = RU , substitute values
8x = 6x + 5 ( subtract 6x from both sides )
2x = 5 ( divide both sides by 2 )
x = 2.5
Thus
RU = 6x + 5 = 6(2.5) + 5 = 15 + 5 = 20 → a
TJ rented a truck to move to a apartment the regular price of a Truck Rental is $200 TJ has a 50% off coupon he wants to know the sale tax of the truck rental
Answer:
$100
Step-by-step explanation:
From the question, we are given the following
Rental price of the truck
percentage off coupon = 50%
Required
Sale tax of the truck rental
Sale tax of the truck rental = 50% of the truck price
Sale tax of the truck rental = 50% of $200
Sale tax of the truck rental = 50/100 * 200
Sale tax of the truck rental = 0.5 * 200
Sale tax of the truck rental = $100
Hence the sale tax of the truck rental is $100
What are the roots of the polynomial equation: 4k - 144 = 0 Show all of your work!
Answer:
k = ±6
Step-by-step explanation:
guess your question is 4k²–144 = 0??
4k² = 144
k² = 36
k²–36 = 0
(k+6)(k–6) = 0
k+6 = 0 | k–6 = 0
k = –6, k = 6.
Alternatively; k = ±6.
Is 4/5 greater than 5/6?
Answer:
5/6 is greater than 4/5
Step-by-step explanation:
4/5 = 0.8
5/6 = 0.833333
Answer:
no
Step-by-step explanation:
5/6 is greater than 4/5
Which percent is equivalent to 2.5?
2.5%
25%
250%
2,500%
Answer:
250%
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A plant is already 8.75 meters tall, and it will grow 25 centimeters every month. the plants height, H (in meters), after x months is given by the following function H(x)=0.25x+8.75 What is the plants height after 40 months?
Answer:
18.75 meters
Step-by-step explanation:
8.75 + 0.25(40) = 18.75
Which expression is equivalent-3(6x+7)+4(7x+2)
Answer: are there choices?
Step-by-step explanation:
Helplsieedgoodgradeplspls
Answer:
He would need to walk the dog 6 more times because 8 times 11 is 88 and if he has already walked the dog 5 times you would subtract that from 11 to get 6. So the answer would be 6
Step-by-step explanation:
8·11= 88
11-5= 6
what is the domain and range
Answer:
0,1,2,3 is the domain
-2,1,2,4 is the range
I dont know why it says im in high school im in middle school. But anyways can someone please explain how to get percentage.
Answer:
Step-by-step explanation:
To change a decimal into a percent you multiply by 100.
If there is a fraction that you need to convert into a percent. Completely divide the fraction. 4/5 = 0.8 then multiply by 100 you get 80%. This means that 4 is 80% of 5
Answer:
how to get a percentage from a decimal is when you take the decimal point and move it twice to the left
Step-by-step explanation:
for example
.07 = 7%
does that make sense?
What value(s) of x will make x2 = 9 true? O A. 3 and -3 O B. 3 a O c. 3 O D. 81 and -81
Answer: D. 3
Step-by-step explanation:
3 times 3 equals 9 so the answer is 3
Answer:
The answer is 3.
Step-by-step explanation:
I took the quiz and got 100%
Alex helps his father milk cows on their dairy farm. They are paid $2.25
per gallon of milk, that they get from their cows. Together, Alex and his
father are able to milk 12 gallons over a 2-hour period. How much money
could Alex and his father expect to earn if they worked for 10 hours?
А
$22.50
B
$54.00
C
$135.00
D
$270.50
Find the value of x in a triangle 68 27
dhsshdhjdjdjdjdndjcixhxbxnxxxi
Answer:
(3x + 4)²Step-by-step explanation:
1) Your number = x
2) Multiply it by 3 = 3x
3) Add 4 = 3x + 4
4) Square the result (quantity square) = (3x + 4)²
I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
what is –9 – (–13) and how do you solve
Which of these does NOT represent the number of minutes in a hour?
Answer:
the question is cut in half
Type the correct answer in each box. Use numerals instead of words.
Micah is keeping track of how much he spends this month on gas. In the first week, he bought x gallons of gas at $2.39 per gallon. In
the second week, he bought 3 fewer gallons of gas than the first week at $2.49 per gallon. So far this month, he has spent a total
$46.21 on gas.
In the first week, Micah bought
gallons of gas
in the second week, Micah bought
gallons of gas
Answer:
Micah bought 11 gallons of gas in the first week and 8 gallons of gas in the second week
Step-by-step explanation:
Answer:
Step-by-step explanation:
Micah bought 11 gallons of gas in the first week and 8 gallons of gas in the second week
Mr. Thompson drew a rectangle on the chalkboard with a length to width ratio of 5 to 2. He asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 6 centimeters. What length should Audrey's rectangle have?
Answer:
15 centimeters
Step-by-step explanation:
Ratio of Mr. Thompson rectangle = length : width
= 5 : 2
Audrey plans to draw a rectangle with a width of 6 centimeters.
Ratio of Audrey rectangle = length : width
= x centimeters : 6 centimeters
Equate the two ratios to find the value of x
5 : 2 = x : 6
Cross product
5 * 6 = 2 * x
30 = 2x
Divide both sides by 2
x = 30 / 2
= 15
x = 15 centimeters
Audrey's rectangle should have a length of 15 centimeters
Answer:
15
Step-by-step explanation:
9. Determine which of the following sequences is a geometric sequence. Check all that apply.
3,9, 27, 81, ...
100, 90, 80, 70, ...
5, 10, 20, 40, ...
2, 10, 18, 26,...
625, 125, 25, 5, ...
-2, 6, -18, 54, ...
Step-by-step explanation:
first geometric sequence
3^1, 3^2 ,3^3, 3^4,......
3, 9, 27, 81.......
second
5^1, 5^2, 5^3, 5^4,........
5, 25, 125, 625,........
third
2, 10, 18, 26,.....
which has the difference of 8
fourth
100, 90, 80, 70,......
Divya wants to rent a car to drive for the weekend. The rental company has a special that allows her to rent it for $200 for the weekend, plus $0.07 per mile. Divya only has $230. Write an inequality, solve, and determine her limitations when renting.
Answer:
[tex]200 + 0.07m \leq 230[/tex]
A maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.
Step-by-step explanation:
Given that:
Rent to be paid for the car in the weekend = $200
Charges to be paid per mile = $0.07
Total money available with Divya = $230
To find:
The inequality as per her limitations and solution to the problem.
Solution:
Let the number of miles for which Divya can drive = [tex]m[/tex] miles
Charges for one mile = $0.07
Charges for [tex]m[/tex] miles = $0.07[tex]m[/tex]
Total charges for renting and [tex]m[/tex] miles = Rental charges + Operational charges
Total charges for renting and [tex]m[/tex] miles = $200 + $0.07[tex]m[/tex]
These are charges must be lesser than equal to the amount of money available with Divya.
Therefore, we can write:
[tex]200 + 0.07m \leq 230[/tex]
Subtracting 200 from both the sides:
[tex]0.07m \leq 30[/tex]
Dividing both sides with 0.07:
[tex]m \leq \dfrac{30}{0.07}\\m\leq 428.6[/tex]
Therefore, a maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.
Approximately 10% of the population is left-
handed. If a school had a student population
of 1200 students, how many of them could
you expect to be right-handed?
Answer:
1080
Step-by-step explanation:
if 10 percent are left handed that means that 90 percent are right handed
number of people that are right handed = 0.9 × 1200number of people that are right handed = 1080Answer:
120
Step-by-step explanation:
10%=0.1
1200*0.1=120
Please help!!!!!!!!!!!!!!!
Answer:
x = 48.59 degrees
Step-by-step explanation:
Do sin-1(12/16) and put it in a calculator. After that, you will get your final answer as 48.59 degrees. This requires sin because the opposite angle is 12 for x. The adjacent angle is something else.
Which of the numbers given below is an irrational number ?
0
2.14
2.14367.....................
Answer:
2.14367............. is a irrational number.y is inversely proportional to the square of x.
A table of values for x and y is shown.
Х| 1 2 3 4
Y| 4 1 4/9 1/4
a) Express y in terms of x.
b) Work out the positive value of x when y = 25
Answer:
[tex]a) \: y = \frac{4}{ {x}^{2} }[/tex]
[tex]b) \: x = \frac{2}{5} [/tex]
Step-by-step explanation:
Please see the attached pictures for the full solution.
3. As a fundraiser the school has a pie eating contest. Matt eats 2.75 pies in 300 seconds. b. Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.
Answer:
Using equivalent fractions, the time Matt takes to eat 1 pie is 1200/11 which is the same as [tex]109\frac{1}{11}[/tex] seconds
Step-by-step explanation:
The number of pies Matt eats = 2.75 pies
The time duration Matt eats 2.75 pies = 300 seconds
Mathematically, the time duration for Matt to eat one pie is given as follows;
The time to eat 2.75 pies = 300 seconds
Dividing both sides of the equation by 2.75 gives;
The time to eat 2.75/2.75 pie = 300/2.75 seconds
2.75/2.75 = 1, therefore, we have;
The time to eat 1 pie = 300/2.75 seconds
The equivalent fraction of 3000/2.75 = 1200/11
Therefore;
The time Matt takes to eat 1 pie = 1200/11 seconds
Find the area of the equilateral triangle whose side length is a. Please help, 10 points.
Answer:
see explanation
Step-by-step explanation:
The area (A) of an equilateral triangle with side a is calculated as
A = [tex]\frac{a^2\sqrt{3} }{4}[/tex]