if angle A has a measurement of 42 degree and is complementary to angle B whats the measurement of angle B

Answers

Answer 1

complementary angles are angles whose sum is 90 degrees.
This means that:
angles A + angle B = 90
42+angle B = 90
angle B = 90-42 = 48 degrees

Related Questions

What is the definition of proof in geometry

Answers

I'm guessing just to show that you did your work to get the answer.

A geometric proof involves writing reasoned, logical explanations that use definitions, axioms, postulates, and previously proved theorems to arrive at a conclusion about a geometric statement. hope this helped:)

A number sentence is said to be true if both numerical expressions are

Answers

if both expressions are equivalent (that is when both evaluate to the same number)

3(b-4)=5b-2 plz help I'm confused

Answers

3( b-4) = 5b - 2

3b - 12 = 5b - 2

3b - 5b = 12 - 2

-2b = 10

b = -5

hope this helps

3b-12=5b-2
-12=2b-2
-10=2b
b=-5

Use the converse of the pythagorean theorem to determine whether the triangle with the given vertices is a right triangle. (2, 1)(6, 4), (–4, 9)

Answers

hello :
let : A(2, 1) , B(6, 4) , C(–4, 9)
calculate : AB , AC, BC
AB = √((6-2)² + (4-1)²) = √25 = 5
AC= √((-4-2)² + (9-1)²) = √100 = 10
BC= √((-4-6)² + (9-4)²) = √125
by pythagorean theorem : BC² = AC² + AB²
the triangle is rectangle in : A

You have 6 green marbles, 23 blue marbles, and 18 red marbles. what is the probability of choosing a red marble. express your answer as a fraction in lowest terms.

Answers

The probability of choosing a red marble is 18/47.

Cynthia besch wants to buy a rug for a room that is 18 ft wide and 30 ft long. she wants to leave a uniform strip of floor around the rug. she can afford to buy 220 square feet of carpeting. what dimensions should the rugâ have?

Answers

Since the strip around the outside of the rug will be uniform, the dimensions of the rug will have the form (18 - x) in width and (30 - x) in length, where x is equal to twice width of the strip. We can use this data to set up an equation. (18 - x) (30 - x) = 220 x^2 - 48 x + 540 = 220 x^2 - 48 x + 320 = 0 (x - 8) (x - 40) = 0 x = 8 or x = 40 Since x = 40 is too wide for the strip, the correct solution is x = 8 The width of the rug is: 18 - x = 10 feet The length of the rug is: 30 - x = 22 feet The dimensions of the rug are 10 feet x 22 feet. Note that the area is equal to 220 square feet.

Ohhhhh! I have a Brainliest!

Answers

answers: 1.) 37 & 2.) 1 2/3

1. 4.5+8.75+9.5+10+4.25=37

2. 4 1/3

hope this helps please give brainliest and 5 stars and a thank you

What is 4,080,499 rounded to the nearest thousand?

Answers

4,080,499 rounded to the nearest thousand is 4,080,000.

If 5 people including mary and bob are arranged randomly in a line, what is the probability that mary and bob are next to one another?

Answers

There are 5! (5 x 4 x 3 x 2 x 1 = 120) potential different arrangements for 5 people picked at random. Of those, let's take a look at all of the possible arrangements with Mary and Bob next to each other:

MBXXX
BMXXX
XMBXX
XBMXX
XXMBX
XXBMX
XXXMB
XXXBM

There are 8 arrangements out of the 120 where Mary and Bob are next to each other, which means that they have an 8/120 = 1/15 chance of ending up in that situation.

What is the area of the polygon below

Answers

I got A. 156 for this question.

147 thats the awnser

When the factors ofa trinomial are (x+ p) and (x + q) then the coefﬁcient ofthe x- term in the trinomial is:?

Answers

the sum of p and q for apex

1) Write the sum or difference in the standard form a + bi. (2 points)
( 7 + 5i) - ( -9 + i)

a) 16+4i
b) -16-4i
c) 16-4i
d) -2+6i

2) Write the product in standard form. (2 points)
( 7 + 7i)( 6 + 7i)

a) -7 + 91i
b) 49i2 + 91i + 42
c) 91 - 7i
d) -7 - 91i

3) Find the product of the complex number and its conjugate. (2 points)
1 + 3i

a) 1 + 9i
b) 10
c) -8
d) 1-9i

4) Write the expression in standard form. (2 points)
three divided by quantity three minus twelve i.

a) - one divided by seventeen. + four divided by seventeen. i
b) one divided by seventeen. - four divided by seventeen. i
c) - one divided by seventeen. - four divided by seventeen. i
d) one divided by seventeen. + four divided by seventeen. i

5) Find the real numbers x and y that make the equation true. (2 points)
5 + yi = x + 3i

Answers

When performing addition and multiplication with constant numbers, we treat i as we would treat any variable x in an expression, with the same rules and properties of addition and multiplication.

1)

[tex]( 7 + 5i) - ( -9 + i)=7+5i+9-i=(7+9)+(5i-i)=16+4i[/tex]

2)
Distribute 7+7i over 6 and 7i:

[tex]( 7 + 7i)( 6 + 7i)=( 7 + 7i)\cdot6+( 7 + 7i)\cdot7i=42+42i+49i+49i^2[/tex]

collecting similar terms, and substituting [tex]i^2[/tex] with -1 we have:

42+91i-49=-7+91 i

3)

The conjugate of a complex number a+bi is a-bi;
the conjugate of 1+3i is 1-3i.

Thus, using the difference of squares formula we have

[tex](1+3i)(1-3i)=1^2-(3i)^2=1-9i^2=1-9(-1)=1+9=10[/tex]

4)

To write a rational expression ( with a complex number in the denominator) in the standard form, we multiply by the conjugate of the denominator both the numerator and the denominator:

[tex]\displaystyle{ \frac{3}{3-12i}= \frac{3(3+12i)}{(3-12i)(3+12i)}= \frac{9+36i}{3^2-(12i)^2} [/tex]

[tex]=\displaystyle{ \frac{9+36i}{9+144}= \frac{9+36i}{153}= \frac{9}{153}+ \frac{36}{153}i [/tex]

simplifying by 9, the complex number is finally written as

[tex]\displaystyle{ \frac{1}{17}+ \frac{4}{17}i [/tex]

5)

2 complex numbers a+bi, and c+di are equal only if a=c, and b=d. (Where a, b, c, d are real numbers.)

Thus, x=5, and y=3 is the solution to the equation.

Answers:

1) A
2) A
3) B
4) D
5) (x, y) =( 5, 3)

the total points scored in a basketball game can be calculated using the expression 3c - 3 if c = 41, how many points total were scored

Answers

Answer:

its actually 126

Step-by-step explanation:

Final answer:

The total points scored in the basketball game is 120 points.

Explanation:

To find the total points scored in a basketball game, we can use the expression 3c - 3. Given that c is equal to 41, we can substitute this value into the expression to calculate the total points.

So, 3c - 3 = 3(41) - 3 = 123 - 3 = 120.

Therefore, a total of 120 points were scored in the basketball game.

Find the equation of the line that is perpendicular to the line 3x-y=-4 and contains the point (-2,4)

Answers

3x - y = -4
- 3x - 3x
-------------------
y = -3x - 4

Slope: -3
Opposite Reciprocal Slope: 1/3

Given: (-2,4)

Point Slope Form: y - y₁ = m(x - x₁)
y - 4 = 1/3(x + 2)
y - 4 = 1/3x + 2/3
+ 4 + 4
-----------------------------
y = 1/3x + 14/3

Prove that acceleration is perpendicular to velocity

Answers

what are the answers

An office uses 478 pounds of paper in one week. The paper comes in packages that hold 18 pounds of paper each. How many packages of paper does the office use each week?

Answers

To solve this, you would divide 478 by 18, which equals 26.5555556. Since you can't have half a package of paper, the answer would be 26. Hope this helps!

The office uses 26 and a half package of papers.

What is division?

Division is the process of splitting a number or an amount into equal parts.

Given that, An office uses 478 pounds of paper in one week. The paper comes in packages that hold 18 pounds of paper each.

To find the number of packages of paper, the office use each week, we will divide the total paper used in one week to paper in 1 package

Therefore, the number of packages of paper, the office use each week = 478 / 18 = 26.5

That means they are using 26 package plus a half package in one week.

Hence, The office uses 26 and a half package of papers.

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Which statement is true about the difference 2√7-√28

Answers

It seems like there are answer choices but you forgot to post them. If you want to simplify then

2*sqrt(7) - sqrt(28) = 2*sqrt(7) - sqrt(4*7)
2*sqrt(7) - sqrt(28) = 2*sqrt(7) - sqrt(4)*sqrt(7)
2*sqrt(7) - sqrt(28) = 2*sqrt(7) - 2*sqrt(7)
2*sqrt(7) - sqrt(28) = (2-2)*sqrt(7)
2*sqrt(7) - sqrt(28) = (0)*sqrt(7)
2*sqrt(7) - sqrt(28) = 0

So the whole complicated expression simplifies to 0 (zero)

This is because sqrt(28) = 2*sqrt(7) when you simplify sqrt(28)

Side Note: "sqrt" is shorthand for "square root"

A circle and a square have the same area. find the length of the diagonal of the square divided by the radius of the circle.

Answers

Let us say that the square have edge = sqrt(pi), then its area is pi since A = edge^2, and therefore the diagonal is pi*sqrt(2).

Meanwhile the circle of radius 1 has area pi since area of circle is A = pi *radius^2.

Therefore we get that the diagonal of the square divided by the radius is:

diagonal / radius = pi*sqrt(2) / 1 = pi*sqrt(2)

How do i factor -1/2 out of -1/2x + 6

Answers

-1/2x + 6

-1/2(x - 12)

multiply -2 to the 6 so that when you multiply -1/2 into the expression it will turn into positive 6

hope this helps

F= 9/5C + 32, solve for F please.

Answers

I believe u would do it this way if it's wrong please let me know hope I helped and don't srew u up

the table represent a linear function

X Y
-2 -2
-1 1
0 4
1 7
2 10
what is the slope of the function?
-3
-2
3
4

Answers

the answer is three work is in picture

Answer:

The answer is 3.

Step-by-step explanation:

In order to determine the slope of the function, we have to know about linear function.

In any linear function, we can get its slope using two pairs of coordinates that belong to the linear function.

m=Slope of the linear function.

P1=(x1,y1)=First pair of coordinate.

P2=(x2,y2)=Second pair of coordinate.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

In this case, we have many pairs of coordinates, so we choose two of them:

[tex]P_1=(-1,1)\\P_2=(0,4)[/tex]

Then, we replace them in the slope formula:

[tex]m=\frac{4-1}{0-(-1)}=\frac{3}{1}=3[/tex]

Finally, the slope of the function is 3.

two cruise ships are sailing towards each other from caribbean islands that are 264 km apart, one ship travels 4 km/h faster than the other. if they both started at the same time. and meet after 6h. how fast is the other ship travelling?

Answers

Final answer:

The slower ship is traveling at a speed of 21 km/h, while the faster ship is traveling at a speed of 25 km/h.

Explanation:

This is a mathematics problem that involves solving for unknown speeds with the given conditions. Lets assume the speed of the slower ship is x km/h. Thus, the speed of the faster ship is x+4 km/h. They are moving towards each other, thus their combined speed is (x+x+4) km/h. As speed is distance over time, we can set up the equation: (2x+4)*6 = 264. Solving this equation, we end up with x=21 km/h as the speed of the slower ship, and hence the speed of the faster ship is 25 km/h.

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A train travels 750 miles in 15 hours. which unit rate describes the speed of the train?
a. 50 miles per hour
b. 75 miles per hour
c. 150 miles per hour
d. 350 miles per hour

Answers

The answer your looking for is A

2+1/6y=3x+4 solve for y

Answers

2+1/6y=3x+4 solve for y

Answer y=18x+12

2 + 1/6y = 3x + 4
× 6y throughout
12y + 1 = 18xy + 24y
Send 12y to the other side
12y + 18xy = 1
Y is common
y (12 + 18x) = 1
y = 1/ (12 + 18x)

Hope it helped!

At a toy factory, toy cars are produced on an assembly line. It takes 8.216 seconds to attach the wheels. It takes 3.652 seconds to attach the hood. How long does it take to attach the wheels and hoods on 42 toy cars

Answers

the answer is 11.868 hopes this helps

At a toy factory, it takes 498.456 seconds to attach the wheels and hoods on 42 toy cars.

We have been given that toy cars are manufactured on an assembly line in a toy factory. Attaching the wheels takes 8.216 seconds. Attaching the hood takes 3.652 seconds.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 12×2 = 24

To determine the time it takes to attach the wheels and hoods on 42 toy cars

According to the given condition, the arithmetic form would be as

⇒ 42 × (8.216 + 3.652)

Calculate the sum of the difference to get,

⇒ 42 × (11.868)

Apply the multiplication operation, and we get

⇒ 498.456

Therefore, it takes 498.456 seconds to attach the wheels and hoods on 42 toy cars.

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Hanks pickup can travel 60miles on 4gallons of gas. How many gallons will hanks pickup need to travel 30miles?

Answers

Hank can go 30 miles with 2 gallons.This is the answer because 30 is half of six so simply do 4 divided by half and get 2. Hope i helped

Reflection : Across the line y = 1

Answers

What is the question supposed to be?

Reflecting across y = 1 means each point's position stays the same horizontally but mirrors vertically across the line.

When reflecting a point or shape across a line, y = 1,

it means that each point is mirrored on the other side of the line while maintaining the same distance from the line.

Here, the line y = 1 acts as a "mirror" or "axis of reflection."

To reflect a point (x, y) across the line y = 1, follow these steps:

Find the vertical distance between the point and the line y = 1. Let's call this distance "d."

If the point is above the line (y > 1), then d = y - 1.

If the point is below the line (y < 1), then d = 1 - y.

Move the point to the same vertical distance on the other side of the line y = 1.

If the point was above the line (y > 1), the new reflected point will be (x, 1 + d).

If the point was below the line (y < 1), the new reflected point will be (x, 1 - d).

Keep in mind that the x-coordinate remains the same in both cases since the line of reflection is vertical (parallel to the y-axis).

By repeating these steps for all points in a shape, obtain the reflection of the entire shape across the line y = 1.

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A restaurant bill before tax is 65.50.if the sales tax is 8% and the a 18% tip is added what is the total cost

Answers

Total $83.47

$65.50 + $5.24 (8%tax ) = $70.74
$70.74 + $12.73 (18%) = $83.47

The length of a rectangle is 3 meters less than twice the width. if the area of the rectangle is 527 square meters, find the dimensions.

Answers

The rectangle is 17 meters wide and 31 meters long. To solve this problem, first work out the equation for the length of the rectangle. Using the information given, we find that length (L) is given by L=2W-3. Next we setup the formula for the area of a rectangle, A=(W)(L). We are told that the area is 527 sq. meters, so our equation is 527=(W)(L). We also know that L=2W-3, so we can plug that into the equation for area as well which gives us 527=W(2W-3), which can be written 0=2(W^2)-3W-527. We now need to solve this equation for W. Factoring the left side we get, 0=(W-17)(2W+31). Thus, either (W-17)=0 or (2W+31)=0 must equal zero. Solving these two equations, we get W=17 or W=-15.5. Since we are looking for the width (which is a length), we know it cannot be negative and therefore the width must be 17 meters. Now that we know the width, we can plug W=17 back into the equation for length (L=2W-3). Doing this give us L=2(17)-3 which is equal to 31. Thus the length is 31 meters.

Answer:

w=17

l=31

Step-by-step explanation:

correct

Assume that lines that appear to be parallel are parallel. Find the value of x and the measure of angle y

Answers

What information have we been given here? From the diagram, we can see that (9x+1)° and (14x-34)° degrees are supplementary, meaning:

(9x+1)+(14x-34)=180

There, we have an equation we can fairly easily solve for x. What about y?

If we take a look at the line y° occupies, we can see that it shares a straight angle with our (14x-34)° term and - as implied by the right angle on the bottom line - a 90° angle.

All three of these should add up to 180°, so we have:

(14x-34) + y + 90 = 180

Another think to note is that, upon inspection, (14x-34)° and y° are complementary - they add up to 90° - and subtracting the 90 from both sides of our equation confirms that fact:

(14x-34) + y = 90

If you've solved for x prior to this, solving for y should be pretty straightforward.

Answer:

The answer would be (14x-34) + y = 90.

Step-by-step explanation:

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