Mathematics High School

What is the measure of angle 3 if the measure of
angle 6 is 4x + 10 and the measure of angle 7 is 2x + 40?

Answers

Answer 1

Answer:

Angle 3 = 86.8

Angle 6 = 96.4

Angle 7 = 93.2

Step-by-step explanation:

Given :

angle 6 = 4x + 10

angle 7 = 2x + 40

=> angle 6 + angle 7 = 180° { linear pair }

=> 4x+10 +2x+40 = 180

=> 6x+50 = 180

=> 6x = 180-50

=> 6x = 130

=> x = 130/6

=> x = 21.6

so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4

the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2

now angle 7 = angle 4 + angle 5

and angle 3 + angle 4 + angle 5 = 180°

so, angle 7 + angle 3 = 180

=> 93.2 + angle 3 = 180

=> angle 3 = 180 - 93.2

=> angle 3 = 86.8

Related Questions

Write the function that is modeled in the graph below:

Answers

The sinusoidal function that is modeled in the graph presented in this question is the expression y = 5 + 3 · sin [π · (x+2)/4], where x and y are the independent and dependent variable, respectively.

How to model a sinusoidal function

In this question we must analyze periodic functions to determine the most appropriate model that best fit with the graph, the determination of the model will determine the inherent characteristics of the model. The graph seem to be a sinusoidal function.

Sinusoidal functions are bounded functions characterized by use of trigonometric expressions and the presence a lower and a upper bound, a period and phase. The entire formula is described below:

y = r + 0.5*(M-m) · sin [2π · (x-F)/T] (1)

Where:

r - Middle valuem - Lower boundM - Upper boundF - Phasex - Independent valuey - Dependent valueT - Period

The period is the time in which a sinusoidal function completes a cycle and the phase is a horizontal translation applied to a canonical sinusoidal function.

If we know that r = 5, m = 2, M = 8, T = 8 and F = -2, then the sinusoidal function is:

y = 5 + 3 · sin [π · (x+2)/4]

To learn more on sinusoidal function, we kindly invite to check this verified question: https://brainly.com/question/12060967

Answer:

hello ace!

we can talk on this answer since that person wont leave the other one =-=

also im not sure sorryy

Step-by-step explanation:

What are the solutions to the following system of equations?

2x − y = 6
y = x2 − 9

Answers

Answer:

(3, 0) and (-1, -8)

Step-by-step explanation:

Equation 1

2x - y = 6Rearrange it so that it is equal to 'y'-y = 6 - 2xy = 2x - 6

Substituting the value of y in Equation 2

y = x² - 9⇒ 2x - 6 = x² - 9⇒ x² - 2x - 3 = 0⇒ x² + x - 3x - 3 = 0⇒ x(x + 1) - 3(x + 1) = 0⇒ (x - 3)(x + 1) = 0⇒ x = 3, -1

Taking x = 3

y = 2(3) - 6y = 0Solution 1 = (3, 0)

Taking x = -1

y = 2(-1) - 6y = -2 - 6y = -8Solution 2 = (-1, -8)

Solutions

(3, 0) and (-1, -8)

the points (0 1) and (1 4) are contained in the graph of an equation with only two variables x and y

Answers

The line that passes through (0 1) and (1 4) is a linear equation

The equation of the points is y = 3x + 1

How to determine the equation of the points?

The points are given as:

(x,y) = (0 1) and (1 4)

Start by calculating the slope (m)

m = (y₂ - y₁)/(x₂ - x₁)

So, we have:

m = (4 - 1)/(1 - 0)

Evaluate

m = 3

The equation is then calculated as:

y = m(x - x₁) + y₁

This gives

y = 3(x - 0) + 1

Evaluate the product

y = 3x + 1

Hence, the equation of the points is y = 3x + 1

Read more about linear equations at:

https://brainly.com/question/1884491

the length of a rectangle is x+6 The width of a rectangle is 3x+4 find the perimeter

Answers

Answer:

8x + 20 or 4(2x + 5)

Step-by-step explanation:

Perimeter equals length + width times 2. If the width is 3x + 4, and the length is x+6, you first add 3x + 4 + x + 6. You first add the like terms, 3x and x, which is 4x. Now you add 4 and 6, which equals ten. Now, you get 4x + 10. Lastly, you have to multiply it by two. 4x + 10 + 4x + 10 equals to 8x + 20. You add up the like terms 4x and 4x and 10 and 10, to get the total of 8x + 20.

What is the value of x?

Enter your answer in the box.

Answers

Answer:

Im pretty sure x = 14!!

Step-by-step explanation:

I basically went through these steps!!

48+6=54

5+(3x+7)=54

isolate the variable by dividing each side by factors that dont contain the variable, and BAM you should come out with 14!!

A 200. 0 g soft drink contain 55. 0g sucrose, what is its mass percent of sucrose

Answers

Answer:

27.5

Step-by-step explanation:

percentage by mass formula=partial mass/whole mass x 100

So 55/200 x 100 = 27.5

Find 100% of the number
41 is 0.30% of ____

hurry please

Answers

Answer:

if 41 is 100% of 41, then divide 41 by 0.30 to get 136.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number be 'x'

0.30% of x = 41

[tex]\sf \dfrac{0.30}{100}*x = 41\\\\ x = 41*\dfrac{100}{0.3}[/tex]

x = 13666

Find the value of x.

Answers

Answer:

Step-by-step explanation:

see in the attached picture...

6x + 9y = 12
2x + 3y = 7

Answers

You can find the answer by using formula dy/dx=-fx/fy and the answer is -2/3

Simplify: 2x(3 + 2y)

6x + 4y
6x + 4xy
5x + 4xy

Answers

Answer:

[tex]\boxed{\sf{B. \quad 6x+4xy}}[/tex]

Step-by-step explanation:

To solve this problem, first, all you have to do is use the distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

[tex]\sf{2x(3+2y)}[/tex]

Multiply.

[tex]\sf{2x*3+2x*2y}[/tex]

Solve.

[tex]\sf{2x*3=6x}\\\\\sf{2x*2y=4xy}[/tex]

Rewrite the problem down.

[tex]\Longrightarrow:\boxed{\sf{=6x+4xy}}[/tex]

Therefore, the correct answer is B. 6x+4xy.

I hope this helps! Let me know if you have any questions.

Answer:

6x+4xy

Solution:Use the Distributive Property and distribute 2x:2x(3+2y)6x+4xySo we multiply 2x times 3 and 2y.

Hope it helps.

Do comment if you have any query.

HELPPPPP
7 8 ÷ 1 4
A) 3 1 2
B) 4
C) 7 16
D) 7 32

Answers

Answer:

A) 3 1/2

Explanation:

[tex]\hookrightarrow \sf \dfrac{7}{8} \div \dfrac{1}{4}[/tex]

rewrite the following

[tex]\hookrightarrow \sf \dfrac{7}{8} * \dfrac{4}{1}[/tex]

join both fractions

[tex]\hookrightarrow \sf \dfrac{7*4}{8}[/tex]

multiply

[tex]\hookrightarrow \sf \dfrac{28}{8}[/tex]

simplify the following

[tex]\hookrightarrow \sf \dfrac{7}{2}[/tex]

turn into mixed fraction

[tex]\hookrightarrow \sf 3\dfrac{1}{2}[/tex]

Answer:

[tex]\dfrac{7}{2}[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{7}{8} \div \dfrac{1}{4}[/tex]

Simplify the expression:

[tex]\implies \dfrac{7}{8} \div \dfrac{1}{4}[/tex]

[tex]\implies \dfrac{7 \div 1}{8 \div 4}[/tex]

[tex]\implies \dfrac{7}{2}[/tex]

Cole is an urban planner. He wants to create a small scale drawing of a city block. The block is a square with sides of length 100\text{ m}100 m100, start text, space, m, end text.
Draw the city block such that 111 unit on the grid below represents 5\text{ m}5 m5, start text, space, m, end text.

Answers

Answer:

Make all sides 3.0

Answer:3.0

Step-by-step explanation:

*50 POINTS*

Select each function that has an inverse that is also a function for all values of x.

A. F(x) = 2x^2 + 4x - 3

B. F(x) = 2x + 3

C. F(x) = 3/2(x) + 2

D. F(x) = 2x^3 + 2

E. F(x) = 2x^4 + 3x^2 - x + 1

Answers

Considering the condition for an inverse function, it is found that the functions that also have an inverse for all values of x are given by:

B. F(x) = 2x + 3

C. F(x) = 3/2(x) + 2

D. F(x) = 2x^3 + 2

What is the condition for an inverse function?

A function f(x) has an inverse if it does not have any horizontally aligned points, that is, if f(a) = f(b), then a = b.

Polynomial functions of even degrees have horizontally aligned points, hence functions A and E do not have inverses.

The other polynomial functions, with odd degrees, have inverses.

More can be learned about inverse functions at https://brainly.com/question/8824268

Your parents have been paying your car insurance with the understanding that you willget a part-time job and begin to take over the payments.You have recently startedworking at a local grocery store for 20 hours a week.Your part-time pay rate is $9.00per hour.You will not be able to work any overtime

Answers

Answer:

You will earn $180 a week or $25.71 a day.
If your car is $16000 - $20000 then you will pay off the car in 622.32 days or 88 weeks or 1.68767 years.

Step-by-step explanation:

Pls help! this is due soon!

Answers

Answer:

Please see the analysis below.

Step-by-step explanation:

write P if the following represents a plane and SP if Space figure.

1. one face of a rectangular box
2. shoe box
3. a pyramid
4. a sheet of plywood
5. an aquarium
6. box
7. ball
8. dice
9. ice cream
10. globe

Answers

P , p , p , ok ok alright ppppp

how do you graph the linear equation -4x-y=-4

Answers

Answer:

y=4x-4

Step-by-step explanation:

state the probability and odds for each event: think about rolling a die.
P(4) _____ _____

P(1 or 3) ______ ______

Answers

Answer: 1/18

Step-by-step explanation:

the probability that you roll a 4 on a standard die is 1/6 because there is 6 sides then the probability of rolling a 1 or a 3 is 2/6 or one third. then multiply 1/3 by 1/6 and you get the final answer of 1/18 :)

f(x) = 3x + 2
What is f(5)?

Answers

[tex]f(x)=3x+2\\\\f(5)=3(5)+2 =15+2=17[/tex]

What is the two different values of the digit 8 in the number 428. 87?

Answers

Answer:

8 and .8 or 8/10

Step-by-step explanation:

The 1st 8 is in the ones place, so it's value is 8.

The 2nd 8 is in the tenths place, so it's value is .8 or 8/10

Find the area and perimeter of each given triangle

Answers

Answer:

36 1/2bh= 12*6/2

24 4+8+12

Step-by-step explanation:

Find the slope of a line
that passes through the
points (-3,2) and (-6,4)

Answers

Answer:

2/-3 is your correct answer

Pls help…

A rectangular prism has volume 1,392 cubic feet, length 24 feet, and
height 29 feet. Find its width, in feet.

Answers

Answer:How to Find the Height of a Rectangular Prism when the Volume of a Rectangular Prism is given? The height of a rectangular prism can be calculated if the volume of the prism is given using the same formula, Volume (V) = base area × height of the prism.

Step-by-step explanation:

Pls help
I don’t understand

Answers

Answer:

700ft^2

Step-by-step explanation:

What's there not to understand?

The rectangle on top has area of 23 × 14 = 322ft^2

The rectangle on bottom has area of 23 × 12 = 276ft^2

Two triangles make 1 rectnagle with area 17 × 12 = 102ft^2

Add them all up 700 ft^2

Rick was given a 15% tip waiting on a table of customers who ordered $60. 00 in food and drinks. How much did Rick earn in tips for waiting on this table?

Answers

Answer:

$9.00

Step-by-step explanation:

Multiply $60.00 by 15% or 0.15 to get 15% of $60.00

What is the area of this i'll give brainliest if its right

Answers

Answer:

Step-by-step explanation:

The way you find the area is 1/2 *base*height
In this situation, it would be 1/2 *10*8

When we solve, a half of 10 is 5, and then we multiply 5*8
5*8=40

Given u = 35i − 12j, what are the magnitude and direction of −3u? Round to the nearest whole number.

37; 109°
37; 289°
111; 161°
111; 341°

Answers

Answer:

Step-by-step explanation:

The given vector (u) is a 4th-quadrant vector with a magnitude just over 35 units. A vector 3 times that length in the opposite direction (-3u) will be one with a magnitude close to 111 in the 2nd-quadrant.

(111; 161°)

Patrick is five years younger than Ben. In two years Ben will be twice as old as Patrick. Calculate their ages

Answers

Answer:

Patrick: 5

Ben: 8

Step-by-step explanation:

Check the attachment.

The figure shows parallelogram PQRS on a coordinate plane. Diagonals SQ and PR intersect at point T. P(2b, 2c) Q(?, ?) T S(0, 0) R(2a, 0) Part A Find the coordinates of point Q in terms of a, b, and c.

Answers

The coordinates of point Q is the location of point Q in the parallelogram

The coordinates of point Q is (2b + 2a,2c)

How to determine the coordinates of Q?

The coordinates are given as:

P(2b, 2c) Q(?, ?) S(0, 0) R(2a, 0)

Since the shape is a parallelogram; it means that the distance PQ is the same as the distance RS.

The distance RS is calculated as:

RS = (2a - 0, 0 - 0)

This gives

RS = (2a, 0)

The coordinates of Q is then calculated using:

Q = P + RS

This gives

Q = (2b,2c) + (2a,0)

Evaluate the sum

Q = (2b + 2a,2c)

Hence, the coordinates of point Q is (2b + 2a,2c)

Answers

Answer:

52ft

Step-by-step explanation:

You divide the box in 2 pieces and multiply the numbers by the separate boxes that you made, then you add them.

5x2= 10

8-2= 6 -----> 7x6= 42

10 + 42 = 52

Answer: The first box is 56 The second box is 4 and the last is 52

Step-by-step explanation: The total area of the full rectangle is 8×7=56

The area of the small cut out portion is 2×2=4

The area of the remaining figure is 56-4=52

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What is the measure of angle 3 if the measure of angle 6 is 4x + 10 and the measure of angle 7 is 2x + 40?

Answers

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What is the measure of angle 3 if the measure of
angle 6 is 4x + 10 and the measure of angle 7 is 2x + 40?