Angle A and angle B are complementary.

The measure of angle A = 3x+7. The measure of angle B=6x+11. Determine the measure of each angle.

Answers

Answer 1

The measure of angle A and angle B are 31° and 59° respectively.

What are complementary angles?

Complementary angles that sum up to 90 degrees.

Given the angles as;

angle A = 3x+7angle B =6x+11

We have that;

Angle A + Angle B= 90

Substitute the values

3x + 7 + 6x + 11 = 90

collect like terms

9x = 90 - 18

9x = 72

Make 'x the subject

x = 72/ 9

x = 8

Angle A = 3x + 7 = 3(8) + 7 = 31°

Angle B = 6x +11 = 6(8) + 11 = 59°

Thus, the measure of angle A and angle B are 31° and 59° respectively.

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Answer 2

Given Angle A and angle B are complementary, the measure of Angle A and angle B are 31° and 59° respectively.

What is the measure of each angle?

complementary angles are angles that sum up to 90 degrees.

Given the data in the question;

Angle A and angle B are complementaryMeasure of angle A = 3x + 7measure of angle B = 6x + 11Numerical measure of each angle = ?

Since complementary angles sum up to 90 degrees.

Measure of angle A + Measure of angle B = 90°

Plug in the given values and solve for x.

(3x + 7) + (6x + 11) = 90

Collect like terms

3x + 6x + 11 + 7 = 90

9x + 18 = 90

Subtract 18 from both sides

9x + 18 - 18 = 90 - 18

9x = 72

x = 72/9

x = 8

Hence;

Measure of angle A = 3x + 7 = 3(8) + 7 = 24 + 7 = 31°

Measure of angle B = 6x + 11 = 6(8) + 11 = 48 + 11 = 59°

Given Angle A and angle B are complementary, the measure of Angle A and angle B are 31° and 59° respectively.

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Related Questions

Find the product.

2 1/3 ⋅ 3 1/2

Write the answer as a mixed number.

Answers

Answer:
7/3 x 7/2 = 49/6
Step-by-step explanation:
First, convert 2 1/3 & 3 1/2 into a fraction (2x3+1)/3, (3x2+1)/2
Next multiply the numerator and the denominators of both
7 x 7
----------- = 49/6
3 x 2

plss help(image attached que 5)

Answers

Answer:

3300cm² is the answer of this question i guess so

Explain how you can use a graphing calculator to determine if a table of values represents a proportional function.

Answers

Table: x and y increments must be the same. X and y increments need not be the same.

The x and y exponents should be 1. Linear equation.

Graphs should be straight.

This is further explained below.

Explain how you can use a graphing calculator to determine if a table of values represents a proportional function:

Generally, Based on the table, you need to ensure that the increments for the x values and the y values are the same.

It is not necessary for the increment to be the same for both the x and y values.

The following conclusion may be drawn from an equation: both the x and y exponents should be set to 1.

It seems like we need a line equation for this problem.

In conclusion, Inferred from a graph: the shape of the graph ought to be that of an unbroken line.

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Is it possible to calculate the cube root of a negative number?

Answers

Answer:

Yes, the cube root of a negative number can be calculated.

Step-by-step explanation:

Answer: Yes it is possible if you use the imaginary number system. It is not possible in the real number system.

Explanation:
By calculating the cubed root of a negative, you will eventually have the square root of -1 which is unknown in the real number system. In the imaginary number system, this would resolve to i.

Cheers.

ALGEBRA 1 QUESTION PLEASE HELP!!
Solve this literal equation:
V = 4/3 x pi x r^3

(x being a multiplication symbol, not a variable)
**PLEASE SHOW STEPS TO SOLVE**

Answers

Answer:

[tex]\sf \pi = \dfrac{3V}{4r^3}[/tex]

Explanation:

Equation:

[tex]V = \dfrac{4}{3} \pi r^3[/tex]

Task: make pie the subject.

cross multiply

[tex]\sf \dfrac{3V}{4} = \pi r^3[/tex]

divide both sides by r³

[tex]\sf \dfrac{3V}{4} \div r^3= \pi r^3 \div r^3[/tex]

simplify following

[tex]\sf \dfrac{3V}{4r^3} = \pi[/tex]

Hence:

[tex]\sf \pi = \dfrac{3V}{4r^3}[/tex]

HELP ANSWER PLSSSSSSSSSSSS

Answers

The degrees of the whole segment is 90 because we know that a right angle is 90 degrees and can be shown with a square in the corner. One angle inside the 90 degrees is 50 degrees and the other two values are the same. Since 90 - 50 = 40, we know that the remaining is 40 degrees. Since x is the same, we divide 40 by 2, getting 20 degrees.

ANSWER: x = 20 degrees

what is the step-by-step answer to
-3(X + 2)=-18

Answers

-3(x + 2) = -18

-3x - 6 = -18

-3x = -12

-x = -4

x = 4

Answer:

x   =   4

Step-by-step explanation:

Simplify both sides of the equation:

−3   (x+2)   =    −18

(−3)   (x)  +  (−3)   (2)  =  −18                                    (Distribute)

−3x    +   −6   =    −18

−3x   −6   =   −18

Add 6 to both sides:

−3x  −6   +6    =  −18  +  6

−3x=  −12

Divide both sides by -3:

−3x/−3     =   −12/−3

x   =   4

NEED HELP ASAP look at picture

Answers

The required simplified value of the function is (f/g)(x) = (x - 3) / (x + 2). Option C is correct.

Given that,
f(x) = 2x² - 5x - 3

g(x) = 2x² + 5x + 2
(f / g)(x) =  To be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here.
f(x) = 2x² - 5x - 3
f(x) = (2x + 1) (x - 3 )
g(x) = 2x² + 5x + 2
g(x) = (2x + 1)(x + 2)

(f / g)(x) = (2x + 1) (x - 3 ) /  (2x + 1)(x + 2)
(f/g)(x) = (x - 3) / (x + 2)

Thus, the required simplified value of the function is (f/g)(x) = (x - 3) / (x + 2). Option C is correct.

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Find the value of f(-2)

Answers

Answer:

y= -3 or just -3

Step-by-step explanation:

The sum of two numbers is 172. The first is 8 less
than 5 times the second. Find the first number.

Answers

Answer:

X+Y=172 OE X=172-Y

X=5Y-8

5Y-8=172-Y

5Y+Y=172+8

6Y=180

Y=180/6

Y=30 ANS

X=172-30

X=142 ANS.

Step-by-step explanation:

a fighter jet traveled k miles in its first 96 minutes of flight time. if it completed the remaining 300 miles of the trip in t minutes, what was the average speed, in miles per hour for the entire trip?

Answers

The average speed was 60[tex]\frac{k+300}{96+t}[/tex]

We are given that a plane travelled k miles in 96 minutes. Since we need the average speed in miles per hour we can convert 96 minutes to hours.

96 minutes = 96/60 =8/5 hours

We are also given that the Plane completed the remaining 300 miles in t minutes. We must also convert t minutes to hours.

t minutes = t/60 hours

Now we can calculate the average speed for the entire trip, using the formula for average speed.

Average Speed = total distance/ total time

Average Speed = (k +300)/(8/5 + t/60)

Average speed = (k + 300) / ((96 + t)/60)

Hence, Average Speed = 60(k + 300)/ (96 + t)

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. f(x) = 2x-5; Find f(-8)

Answers

You have just place the -8 into the f(x) so like this.
f(-8)=2x-5. then you solve it if x is -8 you do this next.
f(-8)=2(-8)-5, then you solve the two step equation.
f(-8)= -16-5
f(-8)= -21

What is the solution to this equation?
x + 4(x + 5) = 40
A. X= 4
B. X= 7
C. x=9
D. x = 12

Answers

Answer:

A

Step-by-step explanation:

x + 4(x + 5) = 40 ← distribute parenthesis and simplify left side

x + 4x + 20 = 40

5x + 20 = 40 ( subtract 20 from both sides )

5x = 20 ( divide both sides by 5 )

x = 4

The answer is A
x + 4 (x +5) = 40
multiply 4 with x and 5, you will get
x + 4x + 20 = 40
then add the x with 4x and you will get 5x
it should look like this;
5x + 20 = 40
now subtract 20 from 40 ; it will look like this after subtracting 5x = 20
divide by 5 on each sides and you will get
x = 4

What is 0.904 subtract 0.01?

Answers

Answer:

0.894 is your correct answer.

Answer:

0.894 because the 0.01 will affect the hundredths so the 0 will be affected in 0.904 and the 9 will change to an 8 because there's nothing left in 0 so you have to substitute.

Bella and her friends have a half-day at school, so they plan to spend the afternoon
paddleboarding at Lake Evergreen. They want to spend the rest of the day on the water, but
it starts to rain after paddleboarding for only of an hour! Bella is disappointed when she
of a
realizes the sun doesn't go down for another 4
hours.
Use an equation to find the amount of time Bella planned to spend paddleboarding.

Answers

Jen planned to spend 19/4 hours paddleboarding

Bella and her friends spent 3/4 hour at the Lake paddleboarding

Proportions: A proportion is an equation that can be solved and is made up of two ratios that have been set equal to one another.

When I state that a proportion is the product of two ratios that are equal to one another, I mean that two fractions must also be equal to one another.

Also, the sun doesn't go down for another 4 hours

So, 4 + 3/4 = 4.75 hours = 475/100 = 19/4 hours

Hence, Jen planned to spend 19/4 hours paddleboarding

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" .
8x + 4 = -28
solve for x

Answers

Answer:

x=-4

Step-by-step explanation:

8x+4=-28

8x=-28-4

8x=-32

x=-4

x=-4 is going to be the answer

Moo berry creamery uses 2 cups of ice cream in each milkshake. How many milkshakes can they make with 1 gallon of ice cream?

Answers

Moo berry can make 8 milkshakes with 1 gallon of ice cream.

How to calculate the number of milkshakes ?

Moo uses 2 cups of ice cream in each milkshake

He is using 1 gallon of ice cream

Therefore the number of milk shakes he can produce can be calculated as follows

16  cups makes 1 gallon

= 16/2

= 8

Hence 8 milkshakes can be made with one gallon of ice cream

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Parallel to 4x — 6y = -36 passing through (2,3)

Answers

An equation which is parallel to 4x - 6y = -36 passing through points (2, 3) is y = 2x/3 + 5/9.

What are parallel lines?

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The condition for two parallel lines.

In Geometry, two (2) lines are considered to be parallel if their slopes are the same (equal) and they've different y-intercepts.

This ultimately implies that, two (2) lines are parallel under the following conditions:

m₁ = m₂

Note: m is the slope.

Simplifying the equation, we have:

4x - 6y = -36

6y = 4x + 36

Dividing both sides by 6, we have:

y = 2x/3 + 6

m₁ = m₂ = 2/3.

Mathematically, the standard form of the equation of a straight line is given by;

y - y₁ = m(x - x₁)

At point (2, 3), we have:

y - 3 = 2/3(x - 2)

y - 3 = 2/3(x - 2)

y - 3 = 2x/3 - 4/3

y = 2x/3 - 4/3 + 3

y = 2x/3 + 5/9

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the product of two consecutive integers is 420. which quadratic equation can be used to find x, the lesser number? x2 1

Answers

The quadratic equation, x(2) + 2 =420 can be used to find x.

you can use trial and error

x(2) + 2 =420

210(2)=420 but we need to add the two so lower the [tex]120[/tex]

209(2)=418+2 = 420

so, the x value must less than 21.

How do you write a quadratic equation in standard form?

A quadratic equation with variable x is written in standard form as [tex]ax2 + bx + c = 0[/tex], where a, b, and c are constants such that the value of an is non-zero but the values of b and c can both be zeros.

Let's change [tex]ax2 + bx + c = 0[/tex] from its standard form to its vertex form, which is [tex]a (x - h)2 + k = 0[/tex], where (h, k) is the vertex of the quadratic function [tex]f(x) = a (x - h)2 + k[/tex]. Keep in mind that 'a' has the same value in both equations. Just set them equal so we can determine how the variables relate to one another.

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50,500-35,675 and work for it

Answers

Answer: 14,825 is the answer

Step-by-step explanation:

Answer: 14,825

Step-by-step explanation:

its easy.

PLEASE HELP
question down below

Answers

Answer:

Draw a line going down from the 300, with a break in the middle and finish it out at the 6 hr mark.

Step-by-step explanation:

Start at the 300 and draw that line down to the 180 mark lined up with the 2 hour dot. Then draw a horizontal line from there to the middle of the 2 and the 4. Then draw a line from where you ended the break with the same slope as the beginning.

Hope this helps!

Calculate the distance between the points P= (-7, 8) and J =(-3, 1) in the coordinate plane.
Give an exact answer (not a decimal approximation).
Distance:

Answers

The distance between the given points P(-7,8) and J(-3,1) is √65 = 8.06225775

Given that, The points are P=(-7,8) and J = (-3,1).

A coordinate plane is a surface formed by two dimensional lines .

The distance between the points is calculated using the distance formula that is, distance between A(x1,y1) and B(x2,y2) is,

√[(x2-x1)²+(y2-y1)²], by using this formula you can find the distance between any two points on the plane.

Therefore the distance between the given points P and J is ,

  PJ = √[(-3+7)²+(1-8)²]

       = √[(4)²+(-7)²]

       = √[(16) + (49)]

       = √[16+49]

       = √[65]

       = 8.06225775

PJ = 8.06225775

Therefore the distance between the given points P(-7,8) and J(-3,1) is 8.06225775

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What is the value of x² + 2x + 3 when x = 3/4
27/4
81/16
6
69/16

Answers


Answer: 81/16
Explain: (3/4)2+ 2(3/4)+3

Find the difference in altitude between a mountain that has an altitude of 2593feet and a desert valley that is 394feet below sea level.

Answers

The difference in altitude between a mountain that has an altitude of 2593feet and a desert valley that is 394feet below sea level is

dA=2987feet

What is the difference in altitude?

Generally, the equation for the difference  is  mathematically given as

dA= mountain  altitude -  desert valley

Therefore

dA=2593-(-394)

dA=2593+394

dA=2987feet

In conclusion, The height of a mountain that is located at an elevation of 2593 feet compared to the elevation of a valley in the desert that is 394 feet below sea level is the difference in altitude.

dA=2987feet

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Determine the translation.

Answers

Translation:
3 units right

5y + 7x = -1
-2y = -5x - 23
Elimination

Answers

Step-by-step explanation:

+25y + 35x = -1. × 5

+35x - 14y = -161. × 7

-. +. +

39y = 156

y=4

putting value of y in 5y + 7x =-1

5×4+7x =-1

7x = -21

x= -3

A bank Teller's annual salary will increase by 12% next year to an annual salary of
$48,000. What is the teller's annual salary now?

Answers

Answer:

$42,857.14

Step-by-step explanation:

12% = 12/100 = 0.12

If the teller's current salary is D and it increases by 12% in one year, the salary next year would be

X(1+0.12) = 1.12X

We know that salary next year is 48000

Using this fact,

1.12X = 48000

Dividing by 1.12 on both sides,

X = 48000/1.12 = 42,857.14

HELP!
Can someone explain to me how to find scaled factors as simply as they can?

Answers

Answer:

The formula for scale factor is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape

To simplify the ratio just reduce it to the simplist form.

Divide each number in the ratio by the same amount to get the answer.

Step-by-step explanation:

hope this helps :)

Some friends are going to be driving to a city 900 miles away from home. They are planning to stay the night in a city 420 miles away, then drive the rest of the distance the following day. If they plan to drive on average 60 miles per hour, how long will they be driving the second day?

Answers

The total time they will be driving the second day is 8 hours

The total distance they are planning to go  = 900 miles

Distance travelled on first day = 420 miles

Distance yet to be  travelled on second day = Total distance - distance covered = 900 miles- 420 miles= 480 miles

The speed of the car = 60 miles per hour

60 miles of distance covered in time = 1 hour

1 mile of distance covered in time = 1 hour /60 miles = 1 minute

This is solved using Unitary Method

1 hour = 60 minutes

480 miles can be covered in time = 1 minute × 480 miles

                                                         = 480 minute

                                                         =8 hours

Hence, The total time they will be driving the second day is 8 hours

Distance and displacement are two quantities that appear to mean the same thing but have very different meanings and definitions. Distance is defined as "how much ground an object has covered during its motion," whereas displacement is defined as "how far out of place an object is."

Distance is defined as an object's total movement without regard for direction. Distance can be defined as how much ground an object has covered regardless of its starting or ending point.

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Can someone please send the answers to these questions with explanation? (Attachment) (30 POINTS)

Answers

Answer:

Step-by-step explanation:

a) this graph is that of a parabola that opens up.  As is the case for all parabolas, the domain is the set of all real numbers.  The range begins with the smallest y-value, which is -4, extending upwards from there:  [-4, infinity)

b) this graph's shape most closely resembles that of a polynomial; as we move from left to right, y increases, reaches a local maximum, decreases to a local minimum, and then continues to increase with x.  As is the case for all polynomials, the domain is the set of all real numbers.  As we move from x = 0 to the left, y decreases without bound; from x ≥ 12 onward, y increases without bound; thus, the range is (-infinity, +infinity).

c) The graph represents a quarter of an ellipse for which x begins at -40 and ends at [4, -16].  Thus, the domain is [-40, 4].  By inspection we see that the smallest y value is -16 and the largest is 4; thus, the range is [-40, 4].

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