Answer:
See proof below
Step-by-step explanation:
From the given diagram, we can see that <2 and <3 lies on the same straight line, hence the sum of the angles is 180 degrees (supplementary)
<2 + <3 = 180 .... 1
Similarly. <1 and <2 are also supplementary angles
<1 + <2 = 180 .... 2
Subtract 1 from 2;
<3 - < 1 + <2 - <2 = 180 - 180
<3 - <1 +0 = 0
<3 - <1 = 0
Add <1 to both sides
<3 - <1 + <1 = 0+<1
<3 = <1 (Proved!)
This shows that <3 and <1 are equal
We can also conclude that <3 and <1 are vertically opposite angles and vertically opposite angles are equal
I NEED THIS FAST HELP!
Which mixed number is equivalent to the improper fraction 569?
569
629
789
849
Answer:
569 IS THE SAME NUMBER AS 569 AND THERE ARE NO FRACTIONS THERE are just numbers
Step-by-step explanation:
MAYBE 569????????????
The mixed number that is equivalent to the improper fraction 56/9 is
6(2/9)
Option B is the correct answer.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
A number is called an improper fraction if the denominator is less than the denominator.
Now,
56/9 is an improper fraction.
5(6/9) = 51/9
6(2/9) = 56/9
7(8/9) = 71/9
8(4/9) = 76/9
Thus,
6(2/9) is equal to 56/9.
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Solve for n: 2n < 6
Math pls answer this
Answer:
n can be a number less than 3
Step-by-step explanation:
Hope this helps!
Answer:
N<3
Step-by-step explanation:
when f(n) =12, what is rhe value of n
Answer:
When f(n) = 12, what is the value of n? Answer: n=5
Step-by-step explanation:
In three days, Karen ate 1/3 of a large bag of chips during
her lunch break. How many
days would it take her to
finish the bag of chips?
Answer:
Karen asked for the manager
Step-by-step explanation:
Karen asked for the maneger because that is what karens do. you’re lucky that you are not black, becuase she would falsely accuse you of murder after slightly bumping into her on accident.
Which ratio does not belong with the other three?
Please choose ABCD when answering also :DD
Answer:
The answer is B
Step-by-step explanation:
All other fractions when simplified are equal to 2/5
An artist mixes 25 ounce of blue paint with 115 ounce of green paint. Using the same ratio, how many ounces of green paint should she mix with 3 ounces of blue paint?
Answer:
Ounces of green paint needed = 13.8
Step-by-step explanation:
Blue paint : green paint = 25 : 115
how many ounces of green paint should she mix with 3 ounces of blue paint?
Let
Ounces of green paint needed = x
Blue paint : green paint = 3 : x
Equate both ratios
25 : 115 = 3 : x
25/115 = 3/x
25 * x = 115 * 3
25x = 345
x = 345/25
x = 13.8 ounces
Ounces of green paint needed = 13.8
Evaluate x−y if x=−5 1/4 and y=−6.8 . Write your answer in simplest form.
The answer i got is -1.55, im not sure though
The value of the given algebric expression is x - y when x=−5 1/4 and y=−6.8 will be 2.05.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
As per the given expression, x - y
x = - 5 1/4 = (-5 x 4 + 1)/4 = -19/4 = -4.75
y = -6.8
Substitute x and y into the above expression,
-4.75 - (-6.8) = 2.05
Hence "The value of the given algebric expression is x - y when x=−5 1/4 and y=−6.8 will be 2.05".
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this is part three of four
Answer:
D. 275
Step-by-step explanation:
400/2... So just do 550/2 and you will get your answer
Question 5
2 pts
(9x + 16)°
(5x - 14)
The value of
is
The measure of the exterior angle is
degrees
Answer:
Value is 15 and measure is 151
A piece of wire is 76cm long. It is cut into two unequal parts and each part is bent into a square. The sum of the areas of the two squares is 205cm². Find the length of the shorter part of the wire.
Answer:
The length of the shorter part of the wire is 24 centimeters.
Step-by-step explanation:
Let [tex]L[/tex] the total length of the piece of wire, where [tex]L-x[/tex] and [tex]x[/tex] are the perimeters of the greater and lesser squares. All lengths are measured in centimeters. Since squares have four sides of equal length, the side lengths for the greater and lesser squares are [tex]\frac{L-x}{4}[/tex] and [tex]\frac{x}{4}[/tex]. From statement we find that the sum of the areas of the two squares ([tex]A[/tex]), measured in square centimeters, is represented by the following expression:
[tex]A = \left(\frac{L-x}{4} \right)^{2}+\left(\frac{x}{4} \right)^{2}[/tex] (1)
And we expand this polynomial below:
[tex]A = \frac{L^{2}-2\cdot L\cdot x +x^{2}}{16} + \frac{x^{2}}{16}[/tex]
[tex]A = \frac{L^{2}-2\cdot L\cdot x +2\cdot x^{2}}{16}[/tex]
[tex]2\cdot x^{2}-2\cdot L\cdot x +L^{2}-16\cdot A = 0[/tex] (2)
If we know that [tex]L = 76\,cm[/tex] and [tex]A = 205\,cm^{2 }[/tex], then the length of the shorter part of the wire is:
[tex]2\cdot x^{2}-152\cdot x +2496 = 0[/tex]
By the Quadratic Formula, we determine the roots associated with the polynomial:
[tex]x_{1} = 52\,cm[/tex], [tex]x_{2} = 24\,cm[/tex]
The length of the shorter part of the wire corresponds to the second root. Hence, the length of the shorter part of the wire is 24 centimeters.
i need help please!1
Answer:
for the first picture, she cleans 30 windows
the second picture is 52/100 :)
Answer:
It's B for the first one.
For the second one, it is C
Step-by-step explanation:
30 * 0.3 = 9
So 30% of 30 is 9. She did 9 windows.
0.52 = 52/100
It's 52/100 because 0.52 = 52%. 52% then equals 52/100.
52/100 = 13/25
So the answer is 13/25
HELP HELP PLEASE ASAP
Guys can y'all help me out D:
Answer: a
Step-by-step explanation: thanks for being my friend and sorry if im wrong
Eight is 1/5 of what number
Answer:
40
Step-by-step explanation:
8 = x/5
x = 8*5
x = 40
I know how to solve this so I just wanna give points away.
Emil was dividing his candy among 15 friends and himself. If each person received 4 pieces, how many pieces of candy did Emil have to start with? Define a variable and write an equation. Solve the equation and check your solution.
chile anyways so i just wanted the points
Put the following least you greatest
125%
1 1/2
1.26
Answer:
...
Step-by-step explanation:
Answer:
125 is 1 1/4
so it would b before 1 1/2
and is im right it would b
1.26
125%
1 1/2
Step-by-step explanation:
Help please...........
Answer: A
Step-by-step explanation:
If the markup is 30% on a cell phone that has a
selling price of $520, what is the initial cost?
Answer:
The initial cost of the cell phone was $364
Step-by-step explanation:
Since there was a 30% markup, 70% of the new cost is the initial cost. Multiply 520 by 0.7 on a calculator and you get 364
Mario's Pizza just received two big orders from customers throwing parties. The first customer, Amelia, bought 10 regular pizzas and 1 deluxe pizza and paid $133. The second customer, Jaden, ordered 7 regular pizzas and 9 deluxe pizzas, paying a total of $284. What is the price of each pizza?
Answer:
The regular costs 11 dollars each while the deluxe cost 23 each.
Step-by-step explanation:
You need to setup two equations.I used two variable for the prices of the types of pizzas because they are unknown.I used x for the cost of regular and y for the cost of deluxe.The equation I did are 10x+y=133 and 7x+9y=284.You need to solve one equation only.I solved the first one.
Help! I would appreciate it
Help me please please please please
Answer:
-4r + 9
Step-by-step explanation:
Join the r terms, you get -4r, join the numbers, you get 9.
Hope it helps!
One less than the square of a number
Answer:
the number would be the same
Step-by-step explanation:
help me out :)) 2(5x-1)+3x !! simplify !!
Answer:
13x-2
lol :)
hope i could helped:)
Lynn has a box of crayons.
4/9 of the crayons are blue
65% of the remaining crayons are red.
The other 14 crayons are yellow.
How many crayons are in the box altogether?
Answer:
There are 72 crayons in the box
Step-by-step explanation:
Fractions
To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.
Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:
[tex]1-\frac{4}{9}=\frac{5}{9}[/tex]
From that portion, 65% are red, or equivalently, 35% are yellow.
We write 35% as a fraction:
[tex]\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}[/tex]
Thus, the portion of yellow crayons is:
[tex]\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}[/tex]
This fraction of x crayons is equal to 14, thus:
[tex]\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}[/tex]
x = 72
There are 72 crayons in the box
Sheldon purchased 289 sq ft of sod for his square-shaped yard.
What is the width of his yard?
Answer:
The width and the length are both 17 feet long.
Step-by-step explanation:
17 * 17 = 289
A
B
C
D
I NEED HELP ASAP
Answer:
D
Step-by-step explanation:
ΔCBA ≅ Δ BCD
∠A = ∠D = 90°
BC = CB {hypotenuse and reflexive property}
BA = CD
JODJODODODODODOOODODODDOOOODODODOD
Answer:
thx for the free points
Step-by-step explanation:
What is the approximate what is the approximate area of the circle shown below?
A. 908 cm2
B. 53 cm2
c. 3630 cm2
D. 107 cm2
The area of the circle is around 908 square centimeters, so the correct option is A.
How to find the area of the circle?The area of a circle of radius R is given by:
A = pi*R²
Where pi is an irrational number, and we can write it as pi = 3.14
Here we can see that the radius of the circle is 17cm, then we can replace that in the area formula to get:
A = 3.14*(17cm)² = 908 cm²
Then the corret option is A.
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HELP PLEASE I WILL MARK BRAINLIEST IF RIGHT ANSWER!!
Answer:
Its XYW is half of LXYZ
Step-by-step explanation:
.
Answer:
this is the required solution
A box of candy contains three times as many cherry pieces. It hasfour more grape pieces than cherry pieces. There are 46 total pieces in the box. How many cherry pieces are in the box
Answer:
The number of cheery pieces in the box are [tex]18[/tex].
Step-by-step explanation:
Let the number of orange pieces in the box be [tex]x[/tex].
The box contains three times as many cherry pieces as orange pieces.
So, the number of cherry pieces in the box be [tex]3x[/tex].
It has four more grape pieces than cherry pieces.
So, the number of grape pieces in the box be [tex]3x+4[/tex].
There are [tex]46[/tex] total pieces in the box.
So, [tex]x+3x+3x+4=46[/tex]
[tex]\Rightarrow 7x+4=46[/tex]
[tex]\Rightarrow 7x=46-4[/tex]
[tex]\Rightarrow 7x=42[/tex]
[tex]\Rightarrow x=\frac{42}{7}[/tex]
[tex]\Rightarrow x=6[/tex]
So, the number of cherry pieces [tex]=3x=3\times 6=18[/tex].
Hence, the number of cheery pieces in the box are [tex]18[/tex].