Answer:
C = 48.5° ; B = 131.5°
Step-by-step explanation:
When any two angles are supplementary , it means that their sum is equal to 180°.
It's given in the question that B is 83 more than C . So,
[tex]B = C + 83[/tex]
Also it's given in the question that B & C are supplementary angles.
[tex]=> B + C = 180[/tex]
[tex]=> C + 83 + C = 180[/tex]
[tex]=> 2C = 180 - 83 = 97[/tex]
[tex]=> C = \frac{97}{2} = 48.5[/tex]
Hence,
[tex]B = 83 + 48.5 = 131.5[/tex]
∴ C = 48.5° ; B = 131.5°
Can somebody please help me ?
SSA
Step-by-step explanation:
put name of triangle abc are same
Find the length of the missing side. Round to the nearest hundredth.
Answer:
1. 7.07
2. 19.10
3.7.42
4. 67.27
5. 13.42
6. 21.8
7. 27.22
8.26.91
Step-by-step explanation: nope but hope it helps :)
A tennis racket was originally priced at $125. The tennis racket went on sale and was marked down in
price by 20%. Natasha purchased the tennis racket while it was on sale. How much did Natasha pay for
the tennis racket?
i need help......,.................
Answer:B
Step-by-step explanation:
The answer is B
everyone should know this
Expand the following :
A) 2(x+3)
B) 5(2x-4)
C) 4(2x+1)
D) 6(x-4y)
Answer:
A. 2x+6 . B. 10x-20 C. 8x+4 D. 6x-24y
Step-by-step explanation:
(-5a^6 -7) -14a^6
(i’ll give brainliest)
Answer:
-19a^6 -7
are you asking to simplify??
PLease help me! its urgent due now
answer correctly and i will give brainliest
Answer:
yes it is because they are both going by two
Step-by-step explanation:
What variable is used to represent slope?
[tex]x \: and \: y[/tex]
hope my answer is helpful to you
plz mark me as brainlist
Gracie is sharing 75 marshminnows among 4 of her friends. If each of her friends gets
the same number of marshminnows, and she gives them as many marshminnows as
possible, how many are left for Gracie?
none
3
18
19
Answer:
18.75
Step-by-step explanation:
The blueprint of a fishing pier uses a scale of 1/8 inch = 5 feet. If the pier is 19 3/4 inches long on the blueprint, find its actual length.
Answer:
790
Step-by-step explanation:
19 3/4÷ 1/8=158
158*5 = 790
what is the slope of this line?? someone please help
Answer:
-2.5
Step-by-step explanation:
someone please help i don’t understand
How many gallons of a 70% antifreeze solution must be mixed with gallons of 90% antifreeze to get a mixture that is 30% antifreeze? Use the six-step method.
Answer: Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.
You need to end up a mixture that is 60% antifreeze.
You have 90 gallons of 25% antifreeze, which means it has .25*90 = 22.5 gallons of pure antifreeze mixed with a solvent (probably water).
.
You will add 'x' gallons of 70% antifreeze to make the 60% mixture.
So, at the conclusion, you will have (90+x) gallons 60% 'pure' antifreeze. That can be shown with the equation:
.
.25*90 + .7*x = .6*(90+x)
.
Multiply by 100 to eliminate fractions.
.
25*90 + 70x = 60(90 +x)
.
2250 + 70x = 5400 + 60x
.
10x = 5400 -2250
.
10x = 3150
.
x = 315 gallons of 70% antifreeze.
.
How much will you end up having on hand?
90 + 315 = 405 gallons
.
If it is 60% antifreeze, how much 'pure' antifreeze will be in the mixture?
.6*405 = 243
.
In the original 90 gallons, you have 22.5 gallons of pure antifreeze.
In the additional 315 gallons, you have .7*315 = 220.5 gallons.
22.5+220.5 = 243 gallons
Step-by-step explanation:
Hope this helps,
Have a great day
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The relationship between each proportion of antifreeze can be used to form an equation.
The number of 90% antifreeze that must be added is 490 gallons.
The question is incomplete. So, I will use the following details to answer the question
[tex]Av ai la bl e = 70[/tex] gallons of 10% antifreeze
[tex]x \to[/tex] gallons of 90% antifreeze
[tex]Total = x + 70[/tex] --- after mixing the solution; to get a 80% solution
The equation is then represented as:
[tex]70 \times 10\% + x \times 90\% = (x + 70) \times 80\%[/tex]
[tex]7 + 0.9x = 0.8x + 56[/tex]
Collect like terms
[tex]0.9x - 0.8x = 56 - 7[/tex]
[tex]0.1x = 49[/tex]
Divide by 0.1
[tex]x = \frac{49}{0.1}[/tex]
[tex]x = 490[/tex]
Hence, 490 gallons of 90% antifreeze must be added.
Read more about equations at:
https://brainly.com/question/2264804
w − y if w = 20 and y = −8
Answer:
20 + 8 =28
Step-by-step explanation:
The perimeter of a rectangle is 48 cm its length is 4 cm what is the width
David bought 3.5 pounds of potatoes for $0.82 per pound. How much did David spend on potatoes?
What is the solution to the inequality 2n+5| > 1?
Answer:
n < - 3 or n > - 2
Step-by-step explanation:
Inequalities of the type | x | > a , have solutions of the form
x < - a or x > a
Then
2n + 5 < - 1 or 2n + 5 > 1
Solve both inequalities
2n + 5 < - 1 ( subtract 5 from both sides )
2n < - 6 ( divide both sides by 2 )
n < - 3
OR
2n + 5 > 1 ( subtract 5 from both sides )
2n > - 4 ( divide both sides by 2 )
n > - 2
Solution is n < - 3 or n > - 2
Which ordered pair is the best estimate for the solution to the system?
(4.8,5.2)
(5.5,4.3)
(5.1,4.8)
(6.5,5.2)
Answer:
5.5, 4.333 or 13/3
Step-by-step explanation:
Use substitution method.
Answer:
(5.5, 4.3 )
Step-by-step explanation:
Given the 2 equations
4x - 15y = - 43 → (1)
2x - 3y = - 2 → (2)
Multiplying (2) by - 2 and adding to (1) eliminates the term in x
- 4x + 6y = 4 → (3)
Add (1) and (3) term by term to eliminate x, that is
- 9y = - 39 ( divide both sides by - 9 )
y = [tex]\frac{39}{9}[/tex] ≈ 4.3 ( to 1 dec. place )
Substitute this value into either of the 2 equations and solve for x
Substituting into (2)
2x - 3([tex]\frac{39}{9}[/tex] ) = - 2
2x - 13 = - 2 ( add 13 to both sides )
2x = 11 ( divide both sides by 2 )
x = 5.5
Best solution is (5.5, 4.3 )
look at the circumference of each of the circles below. what do you think would be the circumference of a circle with diameter 1 cm?
Step-by-step explanation:
[tex]circumference \: of \: the \: circle = 2\pi \times \frac{diameter}{2} \\= 2\pi \times radius = 2 \times \pi \times \frac{1}{2} = \pi = 3.14 \: cm[/tex]
How to multiply and divide fractions with a number beside them
Answer:
After making them the improper fractions the numerator is multiplied with the numerator and denominator is multiplied with the denominator .
Step-by-step explanation:
Suppose we have fractions
3 4/5 and 2 15/24
So we multiply the whole number with the denominator beside them and add to the numerator to make them an improper fraction.
These will become
19/5 * 63/24
= 19*63/ 5*24
= 1197/120
= 9 117/120
After making them the improper fractions the numerator is multiplied with the numerator and denominator is multiplied with the denominator .
The answer 1197/120 is divided ( 1197 is divided by 120) to get the mixed number back with a whole number and a fraction.
A book contains 120 pages and each page 35 lines how many pages will the book contains if every page has 24 lines
Answer:
If there will be 24 lines on all pages, there will be 175 pages in the book
Step-by-step explanation:
First we have to find out how much lines does the book have in total, so we multiply the number of pages by the number of lines on the page. So we get.....
120 x 35 = 4200
Now in order to find out how much pages will the book have when a page will have 14 lines we divide the number of lines by 24 and we get......
4200 / 24 = 175
What is the solution to this system?
The ordered pairs in the table below represent a linear function.
x
y
2
3
5
9
What is the slope of the function?
Answer:
The slope is 2
Step-by-step explanation:
Given
x y
2 3
5 9
Required
Determine the slope
First, we have:
[tex](x_1,y_1) = (2,3)[/tex]
[tex](x_2,y_2) = (5,9)[/tex]
The slope is then calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{9-3}{5-2}[/tex]
[tex]m = \frac{6}{3}[/tex]
[tex]m =2[/tex]
Hence, the slope is 2.
Answer:
C
Step-by-step explanation:
In the given figure, O is the centre of the circle. For
what values of x and y , chord BC will pass through
the centre of circle where points A, B and C are on
the circle?
(a) x = 90, y = 60 (b) x =75,y= 30
(c) x = 65, y = 90 (d) x =90, y = 65
Answer:
d
Step-by-step explanation:
If chord BC passes through the centre then it is a diameter . then
∠ BAC is the angle in a semicircle and x = 90°
y = 180° - (90 + 25) ← angle sum in a triangle
y = 180° - 115° = 65°
Thus
x = 90°, y = 65° → d
In this exercise we have to use the knowledge of triangles inscribed in a circle, in this way it will be possible to calculate the angles, then:
Letter D
Knowing that it is a triangle inscribed in a circle, in this way we can describe it as:
BAC is the angle in a semicircle and x = 90°Angle sum in a triangle is [tex]y = 180 - (90 + 25)[/tex]So:
[tex]y = 180 - 115 = 65\\ x = 90\\ y = 65 [/tex]
See more about triangles at brainly.com/question/25813512
How do you know from a graph if a relationship is a direct variation?
Answer:
A direct variation is when x and y (or f(x) and x) are directly proportional to each other... For example, if you have a chart that says x and y, and in the x column is 1, 2 and 3, and the y column says 2, 4 and 6... then you know it's proportional because for each x, y increases by 2
Step-by-step explanation:
Reciprocal of 5/6=..............
Step-by-step explanation:
To find the reciprocal, divide 1 by the number given. Simplify. Multiply the numerator by the reciprocal of the denominator. Multiply 65 6 5 by 1 1 .
IF ANYONE GETS THIS ILL GIVE A BRAINLIST JUST PLS EXPLAIN IT
[tex]\frac{n+1}{2}=-\frac{3}{4}[/tex]
Answer:
-5/2
Step-by-step explanation:
n +1/2 = -3/4
Cross Multiply
4n + 4 = -6
Then subtract 4 and put it on the other side
4n = -10
Now divide by 4 on both sides
n = -10/4
And finally, simplify
-10/4 = -5/2
Answer:
[tex]n = \frac{-5}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
[tex]\frac{n + 1}{2} = -\frac{3}{4}[/tex]
Step 2: Solve for n
Cross-multiply: [tex]4(n + 1) = -6[/tex]Divide 4 on both sides: [tex]n + 1 = \frac{-3}{2}[/tex]Subtract 1 on both sides: [tex]n = \frac{-5}{2}[/tex]a 2100 square foot home in Cheyanne Wyoming cost $110 per foot How much does this home cost
Answer:
$231,000
Step-by-step explanation:
$110 times 2,100 is $231,000
Solve each system using substitution or elimination. Show all required work. -10x^2+80x+y=155 5x^2-40x+y=-85
Answer:
[tex]x = 4[/tex]
[tex]y = -5[/tex]
Step-by-step explanation:
Given
[tex]-10x^2+80x+y=155[/tex]
[tex]5x^2-40x+y=-85[/tex]
Required
Solve by substitution
Make y the subject in [tex]5x^2-40x+y=-85[/tex]
[tex]5x^2-40x+y=-85[/tex]
[tex]y = -5x^2 + 40x - 85[/tex]
Substitute [tex]y = -5x^2 + 40x - 85[/tex] in the first equation
[tex]-10x^2+80x+y=155[/tex]
[tex]-10x^2 + 80x -5x^2 + 40x - 85 = 155[/tex]
Collect Like Terms
[tex]-5x^2-10x^2 + 80x + 40x - 85 - 155=0[/tex]
[tex]-15x^2 + 120x-240=0[/tex]
Divide through by -15
[tex]x^2 -8x + 16 = 0[/tex]
[tex]x^2 - 4x - 4x + 16 = 0[/tex]
[tex]x(x - 4) - 4(x - 4) = 0[/tex]
[tex](x - 4)(x - 4) = 0[/tex]
[tex]x - 4\ = 0[/tex] or [tex]x - 4\ = 0[/tex]
[tex]x = 4[/tex] or [tex]x = 4[/tex]
[tex]x = 4[/tex]
Substitute 4 for x in [tex]y = -5x^2 + 40x - 85[/tex]
[tex]y = -5(4)^2 + 40 * 4 - 85[/tex]
[tex]y = -5*16 + 40 * 4 - 85[/tex]
[tex]y = -80 + 160 - 85[/tex]
[tex]y = -5[/tex]