Answer:
1 and 3
Step-by-step explanation:
because 5 and 3 have the same value and since 5 and 1 add up to 90 degrees, 3 and 1 must also add up to 90 degree
Angles ∠1 and ∠3 are complementary but not adjacent.
Complementary angles are two angles that add up to 90 degrees.
Adjacent angles are two angles that share a common vertex and a common side.
In the image, angles ∠1 and ∠3 share a common vertex, but they do not share a common side. They are also not adjacent to each other, as there is an angle in between them (angle ∠4).
The measure of angle ∠1 is 48 degrees. The measure of angle ∠3 is 42 degrees. Therefore, angles ∠1 and ∠3 add up to 90 degrees, making them complementary angles.
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By selling 75 apples, a seller gains the cost price of 15 apples.
find his gain percentage?
Answer:
20%Step-by-step explanation:
In this exercise, we want to convert the sellers gain or say represent the sellers gain as a percentage
step onegiven data
given that he sells a total of 75 apples
and also that he gains 15 apples
step twoTo solve or show the percentage gain, we have to divide the total sales by the profit made and multiply the result by 100, that way we have the percentage gain.
i.e (profit/total sales)*100
= (15/75)*100
= 0.2*100
= 20%
The sum of three numbers is 106. The second number is 4 more than three times the first number. The third number is 6 less than twice the first number. Find the three numbers.
Step-by-step explanation:
let three no. be x, y, z
y=3x+4
z=2x-6
x+3x+4+2x-6=106
6x=108
x=18
Three numbers are 18, 3 (18)+4, 2 (18)-6
=18,58,30
For each value of x, determine whether it is a solution to 3x + 5 = 8.
Is it a solution?:
-6: yes or no
-2: yes or no
7: yes or no
8: yes or no
Answer:
-6:No
-2:No
7:No
8:No
The only number to make this equation true is 1
Step-by-step explanation:
I will substitute each value in place of the variable. Hopefully you understand PEMDAS
3(-6)+5=8
-18+5=8
-13=8
-13 does not equal 8 so false.
3(-2)+5=8
-6+5=8
-1=8
-1 doe not equal 8 so false
3(7)+5=8
21+5=8
26=8
26 does not equal 8 so false
3(8)+5=8
24+5=8
29=8
29 does not equal 8 so false
Let's see what would make this true:
3x+5=8
3x=3
×=1
The solution is: :
-6:No
-2:No
7:No
8:No
The only number to make this equation true is 1
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
We will substitute each value in place of the variable.
we know PEMDAS
3(-6)+5=8
-18+5=8
-13=8
-13 does not equal 8 so false.
3(-2)+5=8
-6+5=8
-1=8
-1 doe not equal 8 so false
3(7)+5=8
21+5=8
26=8
26 does not equal 8 so false
3(8)+5=8
24+5=8
29=8
29 does not equal 8 so false
Let's see what would make this true:
3x+5=8
3x=3
x=1
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Multiply 16.852 × 0.86 =
Answer:
The Answer is 14.49
Step-by-step explanation:
Because you have the use paper or calculator(if affordable) then there will be more numbers but i wanted to make it to a short version
Answer:
14.49
Step-by-step explanation:
What is the domain and range of the following?
Answer:
c
Step-by-step explanation:
Domain is the x-values range is y-values
How many grams are in 2.34ml????
2,340 g
234 g
.00234 g
.0234 g
Answer:
2.34 grams
Step-by-step explanation:
In this problem, we need to find how many grams in 2.34mL. To solve the problem, we must know the relationship between grams and millilitre.
We know that,
1 milliitre = 1 gram
Hence,
2.34 mL = 2.34 grams.
The midpoint of DG is M(-1,5). One endpoint is D(1,4). Find the
Coordinates of the other endpoint G.
Answer:
G(-3, 6)
Step-by-step explanation:
[tex]midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
Substitute the coordinates of M and D into the formula:
[tex]( - 1,5) = ( \frac{x1 + 1}{2} , \frac{y1 + 4}{2} ) \\- 1=\frac{x1 + 1}{2}& ,&5&= \frac{y1 + 4}{2} & \\ - 1(2)= x1 + 1&, & 5(2) &= y1 + 4 &\\ - 2= x1 + 1&, &10 &= y1 + 4 &\\ x1= - 2 - 1&,& y1 &= 10 - 4 &\\ x1= - 3&, &y1& =6 \: \: \: \: \: \: \: \: \: \: &[/tex]
Thus, the coordinates of G is (-3,6).
Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4).
Answer:
[tex]x = \frac{17}{18}[/tex]
[tex]y = \frac{23}{6}[/tex]
Step-by-step explanation:
Given
[tex]y = 3x + 1[/tex]
[tex]Points = (0,0)\ to\ (-3,4)[/tex]
Required
Determine (x,y) equidistant from the equation and the given point
This question will be answered using distance formula;
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Considering The first Point [tex](0,0)\ to\ (x,y)[/tex]
[tex](x_1 ,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (x,y)[/tex]
The distance is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]d = \sqrt{0 - x)^2 + (0 - y)^2}[/tex]
[tex]d = \sqrt{(- x)^2 + (- y)^2}[/tex]
[tex]d = \sqrt{x^2 + y^2}[/tex]
Considering the second point: [tex](x,y)\ to\ (-3,4)[/tex]
[tex](x_1,y_1) = (x,y)[/tex]
[tex](x_2,y_2) = (-3,4)[/tex]
The distance is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]d = \sqrt{(x - (-3))^2 + (y - 4)^2}[/tex]
[tex]d = \sqrt{(x + 3)^2 + (y- 4)^2}[/tex]
[tex]d = \sqrt{x^2 + 6x + 9 + y^2- 8y + 16}[/tex]
[tex]d = \sqrt{x^2 + 6x + y^2- 8y + 16 + 9}[/tex]
[tex]d = \sqrt{x^2 + 6x + y^2- 8y + 25}[/tex]
Equate both values of d
[tex]\sqrt{x^2 + 6x + y^2- 8y + 25} = \sqrt{x^2 + y^2}[/tex]
Square both sides
[tex]x^2 + 6x + y^2- 8y + 25 = x^2 + y^2[/tex]
Collect Like Terms
[tex]6x - 8y + 25 = x^2 -x^2+ y^2 -y^2[/tex]
[tex]6x - 8y + 25 =0[/tex]
Recall that [tex]y = 3x + 1[/tex]
[tex]6x - 8(3x + 1) + 25 = 0[/tex]
[tex]6x - 24x - 8 + 25 = 0[/tex]
[tex]-18x+ 17 = 0[/tex]
[tex]-18x=- 17[/tex]
Solve for x
[tex]x = \frac{-17}{-18}[/tex]
[tex]x = \frac{17}{18}[/tex]
Substitute [tex]\frac{17}{18}[/tex] for x in [tex]y = 3x + 1[/tex]
[tex]y = 3 * \frac{17}{18} + 1[/tex]
[tex]y = \frac{17}{6} + 1[/tex]
[tex]y = \frac{17 + 6}{6}[/tex]
[tex]y = \frac{23}{6}[/tex]
What is the value of y?
Answer:
D) 55°.
Step-by-step explanation:
The sum of angles in a triangle add up to 180°.
[tex]y+(y+30)+40=180[/tex]
[tex]2y+70=180\\[/tex]
Subtract 70 from both sides:
[tex]2y+70-70=180-70[/tex]
[tex]2y=110[/tex]
Divide both sides by 2:
[tex]\frac{2y}{2}=\frac{110}{2}[/tex]
[tex]y=55[/tex]
What is 5 divided by 1525
Answer:
Step-by-step explanation:
5 divided by 1525 = 0.0032786885245902
1525 divided by 5 = 305
Hope this helps! :)
The area of a football field is 57,600 square feet. If the width of the field is 4/9 the length, what is the length of the football field ?
Answer:
360 ft
Step-by-step explanation:
GivenArea = 57600 ft²Length = xWidth = 4/9xSolutionA = lwx*4/9x = 576004/9x²= 57600x² = 57600*9/4x² = 129600x = √129600x = 360 ftThe measure of the supplement of an angle is 36 less than the measure of the angle. Find the measures of the angles.
Answer:
∠1 → 108
∠2 → 72
Step-by-step explanation:
Supplementary angles add up to a total of 180° (two angles is a pair). So:
∠1+∠2=180°
∠1 → supplement
∠2 → 36 less than the supplement
Create an equation, using x as angle 1 and y as angle 2:
[tex]x+y=180[/tex]
Insert the given values:
[tex]x+(x-36)=180[/tex]
Solve for the value of x. Simplify parentheses:
[tex]x+x-36=180[/tex]
Simplify addition:
[tex]2x-36=180[/tex]
Add 36 to both sides:
[tex]2x-36+36=180+36\\\\2x=216[/tex]
Isolate the variable. Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{216}{2}\\\\ x=108[/tex]
The value of x is 108. Insert this into the equation above:
[tex]x+y=180\\\\108+y=180[/tex]
Solve for y. Subtract 108 from both sides:
[tex]108-108+y=180-108\\\\y=72[/tex]
The value of y is 72.
Therefore:
∠1 → 108
∠2 → 72
:Done
*Check:
Insert the values into an equation set to 180 to determine if true:
[tex]108+72=180\\\\180=180[/tex]
Subtract 108 by 72 to see if the difference is 36:
[tex]108-72=36\\36=36[/tex]
The given values are true.
Supplementary angles add up to [tex]180^o[/tex]
The angles are 72 and 108
Let the angles be x and y.
Such that:
[tex]y = x - 36[/tex]
So, we have:
[tex]x + y = 180[/tex] --- sum of supplementary angles
Substitute [tex]y = x - 36[/tex]
[tex]x + x - 36 = 180[/tex]
[tex]2x - 36 = 180[/tex]
Collect like terms
[tex]2x = 36 + 180[/tex]
[tex]2x = 216[/tex]
Divide by 2
[tex]x = 108[/tex]
Recall that:
[tex]y = x - 36[/tex]
[tex]y = 108 - 36[/tex]
[tex]y = 72[/tex]
Hence, the angles are 72 and 108
See attachment for the illustration of the angles
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A dot-com company ships products from three different warehouses (A, B, and C). Based on customer complaints, it appears that 3% of the shipments coming from A are somehow faulty, as are 5% of the shipments coming from B, and 2% coming from C. suppose a customer is mailed an order and calls in a complaint the next day. What is the probability the item came from Warehouse C
Answer:
The probability of getting defective product from warehouse C is 0.3448
Step-by-step explanation:
Missing question "Assume that Ware houses A, B and C ship 30%, 20% and 50% of the dot-com's sales respectively.
P(A) = Probability of product that comes from warehouse A
P(B) = Probability of product that comes from warehouse B
P(C) = Probability of product that comes from warehouse C
P(A) = 30% = 0.30, P(B) = 20% = 0.20, P(C) = 50% = 0.50
Let D denotes the number of defective products
P(D|A) = 3% = 0.03
P(D|B) = 5% = 0.05
P(D|C) = 2% = 0.02
The probability of getting defective product from warehouse C is as below using the Bayes Rule
P(C|D) = P(D|C) P(C) / P(D|A)P(A) + P(D|B)P(B) + P(D|C)P(C)
P(C|D) = 0.02 * 0.50 / (0.03*0.30) + (0.05*0.20) + (0.02*0.50)
P(C|D) = 0.01 / 0.009 + 0.01 + 0.01
P(C|D) = 0.01 / 0.029
P(C|D) = 0.3448
Therefore the probability of getting defective product from warehouse C is 0.3448.
pliz solve this question, pliz pliz
Answer:
If the bisector of AB is at origin (0,0) and A is at (4,0)
we can say that the mid-point of the line AB is at (0,0)
Hence, the point B will be 4 units on the other side of the origin
Therefore, the co-ordinates of B are: (-4,0)
Since the line AB is 4 units to the left and 4 units to the right of the origin,
the length of line-segment AB is 4 + 4 = 8 units
the sum of 4/15 and 3/75 multiplied to 4/15
Answer:
92/1125
Step-by-step explanation:
fill in the missing
16 x 50 = 16 x x25
(n - 7) > 2n - 3.
Solve for n
Answer: inequality form n < -4
Step-by-step explanation:
Answer:
n < -4
Step-by-step explanation:
(n-7) > 2n-3
n-7 > 2n -3
+ 3 +3
n-4 > 2n
-n -n
-4 > n
n < -4
All of the following are equivalent except
(4)
4+ y
4. y
4 у
plzzz brainliest
Answer:
the answer is b. 4+y
Step-by-step explanation:
all the other options are just expressing 4 in different ways
Answer:
B
Step-by-step explanation:
A square has a side length of 32 cm what is the area
Answer:
[tex]1024cm^2[/tex]
Step-by-step explanation:
Area = Length [tex]\times[/tex] Length
Area = [tex]32cm\times32cm=1024cm^2[/tex]
-3+0=-3
is what property?
Answer:
It has a zero in it so it should be identity property.
Step-by-step explanation: anything with 0 is im pretty sure the Identity problem.
6. DE with endpoints D(-3, -4) and E(4, 2) under the translation
(x, y) + (x + 1, y + 3)
Answer:
D'(-2, -1)
E'(5, 5)
Step-by-step explanation:
DE has the coordinates of the endpoints as D(-3, -4) and E(4, 2).
These points are translated by the rule to give the translated image as D'E',
(x, y) → (x + 1, y + 3)
By following this rule,
D(-3, -4) → D'(-3 + 1, -4 + 3)
→ D'(-2, -1)
E(4, 2) → E'(4 + 1, 2 + 3)
→ E'(5, 5)
Now we can graph these image points having coordinates D'(-2, -1) and E'(5, 5).
A town has a population of 4000 and grows at 2% every year. To the nearest year, how long will it be until the population will reach 6400?
Answer:
24 years
Step-by-step explanation:
Answer:24 years
Step-by-step explanation:
Trust me
solve for n -2 = -n + 8
Answer:
N=10
Step-by-step explanation:
-2n=-n+8
subtract 8 on both sides
-10/-n= -n/-n
the variables cancel out and you divide -10 with -1 because your variable is always 1 giving you the answer
n=10
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{n = 5}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{n - 2 = - n + 8}[/tex]
Move n to left hand side and change it's sign
Similarly, move 2 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{n + n = 8 + 2}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{2n = 8 + 2}}[/tex]
Add the numbers: 8 and 2
[tex] \longrightarrow{ \sf{2n = 10}}[/tex]
Divide both sides by 2
[tex] \longrightarrow{ \sf{ \frac{2n}{2} = \frac{10}{2}}} [/tex]
Calculate
[tex] \longrightarrow{ \sf{n = 5}}[/tex]
Hope I helped!
Best regards! :D
The sum of two numbers is negative sixteen. One number is seven times the other. Find the numbers
The two numbers are [tex]-2[/tex] and [tex]-14[/tex].
It is given that,
Sum of two numbers is negative sixteen.One number is seven times the other.Explanation:
Let [tex]x[/tex] be the one number. Then the second number is [tex]7x[/tex].
Sum of two numbers is negative sixteen.
[tex]x+7x=-16[/tex]
[tex]8x=-16[/tex]
[tex]x=\dfrac{-16}{8}[/tex]
[tex]x=-2[/tex]
The value of other number is:
[tex]7(-2)=-14[/tex]
Thus, the two numbers are [tex]-2[/tex] and [tex]-14[/tex].
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Help please! I got the answer wrong the first timee and im having trouble understanding!!!
Answer:
the answer is 30 because if x = 3 they you would do 8x3 and get 24 then add the 6 to get 30
Step-by-step explanation:
Plz give brainly
Answer:
if x is three then 8x is 8×3 which is 24 then plus 6 is equal to 30
It takes 4 1/2 cups of cherries to make a cherry pie. Russell wants to make 4 cherry pies. How many cups of cherries will Russell need?
Answer:
18 cups.
Step-by-step explanation:
Multiply 4.5 by 4.
Is 9/15 a rational or irrational number
Answer: rational
Step-by-step explanation:because a fraction is a rational number
9/15 is a rational number.
What is a rational number?A rational number is a number of form p/q where q is not zero and p and q are integers.
How to understand that 9/15 is rational?Clearly, from the definition, we can observe that 9/15 has a non-zero integer denominator and the numerator is also an integer which leads to the conclusion that 9/15 is a rational number.
Hence, 9/15 is a rational number.
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. Rohith purchased a book for Rs.573.75 and a pen for Rs.25.50. His father
gave him a Rs 1000 note. How much money is left with him after
purchasing both the things?
Answer:
Step-by-step explanation:
cost of book = Rs. 573.75
cost of pen = Rs. 25.50
total cost = 573.75 + 25.50 = Rs. 599.25
total money = Rs. 1000
money left with him = 1000 - 599.25 = Rs. 400.75
Hope this helps
plz mark as brainliest!!!!!!
What is the simplified form of the complex fraction? 2x2+x−6x2−x−64x2−9x2+5x+6
Question:
Is that 6x square?
The length of a rectangle is (x-8)units, and its width is (x+11) units. Which expression can represent the area of the rectangle?
Answer:
(x²+3x-88) square units
Step-by-step explanation:
Area of a rectangle = Length × Width
Given
length of a rectangle is (x-8)units
Its width is (x+11) units.
Required
Expression for the area of the rectangle
Substituting the given function into the formula.
Area of the rectangle = (x-8)(x+11)
Area of the rectangle = x(x)+11x-8x-88
Area of the rectangle = x²+3x-88
Hence the expression that represents the area of the rectangle is x²+3x-88 units²
Answer:
x² + 3x - 88
Step-by-step explanation: