Rhombus ABCD has side lengths of (6x + 4) inches, (4y + 10) inches, (8x − 14) inches, and (7y − 26) inches. The diagonals are 80 inches and 84 inches and intersect forming an angle of (8z + 2)°.

Answers

Answer 1

Answer:

x = 9, y = 12, z = 11

Step-by-step explanation:

A rhombus is a quadrilateral (has four sides and four angles) with four equal sides. Opposite sides of a rhombus are parallel to each other and the diagonals bisect each other at right angles i.e. 90°.

Given the rhombus ABCD:

(6x + 4) = (4y + 10) = (8x − 14) = (7y − 26) [the sides of a rhombus are equal].

Hence; 6x + 4 = 8x - 14

8x - 6x = 14 + 4

2x = 18

x = 9

Therefore the side length = 6x + 4 = 6(9) + 4 = 58 inches

Also: 4y + 10 = 7y - 26

7y - 4y = 10 + 26

3y = 36

y = 12

(8z + 2) = 90° (diagonals of a rhombus bisect each other)

8z + 2 = 90

8z = 90 - 2

8z = 88

z = 11


Related Questions

Solve and simplify: -9/10 ÷ (-3/10) = *

Answers

Answer: 3

Step-by-step explanation:

Answer: 3

Step-by-step explanation: the equation is the question. XD

There are 4,500 apples which are packed in 15 boxes. How many apples are there in each box?

Answers

Answer:

300 apples

Step-by-step explanation:

4500/15 = 300 apples

Answer: 300

Step-by-step explanation:

A surveyer wants to find the distance from points A and B and to an inaccessible point C. These three points form a triangle. Because points he can be cited from both A and B, he knows that the measure of angle a equals 65°. Also, it is known that the distance from A-to-C is 90 m and the distance from B to C is 120 m. What is the measure of angle B

Answers

Answer:

42.8°

Step-by-step explanation:

The sine rule states that for a triangle with lengths of a, b and c and the corresponding angles which are opposite the sides as A, B and C, then the following rule holds:

[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)} =\frac{c}{sin(C)}[/tex]

Given that points A, B and C forms a triangle with angle A = 65°, distance from A-to-C = 90 m and the distance from B to C = 120 m.

The distance from A to C is the side opposite to angle B. Hence let b =  distance from A to C = 90 m.

The distance from B to C is the side opposite to angle A. Hence let a =  distance from B to C = 120 m.

Therefore using sine rule:

[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)} \\\\\frac{120}{sin(65)}=\frac{90}{sin(B)} \\\\sin(B)=\frac{90*sin(65)}{120} \\\\sin(B) =0.6797\\\\B=sin^{-1}(0.6797)\\\\B=42.8^o[/tex]

descripcion de isoceles triangulos

Answers

Si dos lados de un triángulo son congruentes , entonces los ángulos opuestos a esos lados son congruentes.

[tex]x^{3}[/tex] - 9
can you please also explain how you factored it?

Answers

Answer:

x(x+3)(x-3)

Step-by-step explanation:

x(x+3)(x-3)

x(x²-9)

x³-9

Matt wants to purchase a gasoline motor scooter. The gas mileage 75 miles for each 1/2 gallon of gasoline. How many miles will Matt be able to drive on 5 gallons of gasoline

Answers

Answer: 750 miles

Step-by-step explanation:

The gas mileage is 75 miles per 1/2 gallon of gasoline.

First find how many miles it can go on 1 gallon of gasoline:

= 75 ÷ 1/2

= 150 miles

If the scooter can go 150 miles on 1 gallon, the number of miles it will go on 5 gallons is:

= 5 * 150

= 750 miles

Systems of equations with different slopes and different y-intercepts have one solution. (5 points)

Always
Sometimes
Never

Answers

Answer:

Always, Have a great day/night!

Always

give me brainliest and mark 5 stars or ur meany


PLEASE HELPPP, its timed. NO BOTS please i want serious answers.
i dont want to have to report u :/



Complete the similarity statement: Quadrilateral HGFE is similar to quadrilateral____

What is the scale factor in simplest fraction form (use / to type the fraction)

What is the value of x (do not round)?

What is the length of CB (do not round)?

What is the length of AB (do not round)?

Answers

CDAB

4.2 (convert to frac on ur own)

12.5=x

CB= 14.5

AB= 8.82

PLEASE HELP!!!! middle school problem

Answers

Answer:

110 for every 2 minutes because 290 - 180 gives you 110 every 2 minutes

What is the problem?

pleaseee help 5 mins due The dependent variable, g, represents the gas mileage for a vehicle. Select all the variables that can represent an independent variable in this situation.



The color of the interior



The age of the vehicle



The horsepower of the engine



The weight of the vehicle
The dealership where the vehicle was purchased

Answers

Answer:

age, horsepower, weight

Step-by-step explanation:

Answer:

the age, horsepower of engine, and weight

Step-by-step explanation:

the interior and place you purchased it has nothing to do with the gas mileage.

Pls help I’ll mark u brain

Answers

Answer:

A: y=6x

B: A

Step-by-step explanation:

A: Rise over run

B: You can use the points to determine the answer, 6(2)=12 (2,12) 6(3)=18 (3,18)

PLZ Help
Simplify the given equation.

17x - 6 + 3x - 5 = x + 11 + 4x

A. 9x = 16x
B. 20x + 1 = 5x + 11
C. 20x - 11 = 5x + 11

Answers

Answer:

B.20x + = 5x + 11

hope it's helpful ❤❤❤❤❤

THANK YOU.

A runner completed a 26.2 mile marathon in 210 minutes the unit rate is about how many mile per minute

Answers

Elanagny jdjdjekwndb

Find the value of x please

Answers

Answer:

x=12

Step-by-step explanation:

24÷(27÷9)=6x

x=12

help math asap I need help pls​

Answers

Answer:Ana is correct because 8/20=2/5

Step-by-step explanation:

hii pls help i’ll give you brainliest if you give a correct answer.

Answers

Answer:

Step-by-step explanation:

How many 3/8 are in 5/4? We can set this number as x. Therre are x number of 3/8 that make up 5/4:

Therefore the PART A is: x* 3/8 = 5/4

On the other hand, 5/4 / 3/8 = x (this is just the reverse of what I mentioned earlier)

I hope this helps! :)

Mark is 6ft tall and casts a 15 ft shadow. At the same time of day, a nearby building casts a 30ft shadow. How tall is the building ?

Answers

16.5 Feet

hight plus shadow hight! <3

hope you pass all of your exams!

The height of the building is 12 ft.

What is proportion?

The correct relationship between the size of different parts of the same thing, or between one thing and another.

Given that, Mark is 6ft tall and casts a 15 ft shadow. At the same time of day, a nearby building casts a 30ft shadow.

The proportion here is, 6/15

Let the height of the building be x,

6/15 = x/30

x = 12

Hence, The height of the building is 12 ft.

For more references on proportion, click;

https://brainly.com/question/2548537

#SPJ2

Please solve!!!

In a hurry!

Answers

Answer:

The answer is y=5

Step-by-step explanation:

3y=15

you divide 3 into 3 and 15

3y/3=15/3

    y=5

What is the slope of the graphed above?
A. -2
B. -1
C. -1/2
D. 1/2
E. 2

Answers

Answer:

C

Step-by-step explanation:

slope is rise/run or y2-y1/x2-x1

We use the two points (0,1) and (2,0)

y2=0, y1=1, x2=2, x1=0

0-1=-1

2-0=2

-1/2=-1/2

This gives a slope of -1/2, Answer Choice C

Answer:

The Answer is C

Step-by-step explanation:

From Point (-2,2), we go to point (0,1). The x changed by two, and the y changed by one. Therefore, when x changes by one, y changes by one-half. This slope is negative, making the answer -1/2

Mrs. Williams estimates that she will spend $50 on school supplies. She actually spends $45. What is the percent of error?

Answers

the percent of error is 10%, as (50-45)/50 is 5, and 5/50 is 0.1. after this, you multiply .1 by 100 to get the end result of 10%.

What is X? HELP I NEED ANSWERS!

Answers

Answer:i think x=141

Step-by-step explanation:i agree

Answer:

Hope it helped

Step-by-step explanation:

I need to find the GCF and solve to get the right answer. And ASAP if ossicle please

Answers

I just know the greatest common factor is 2ab

But i don’t know if it is foil method but I still don’t know how to put it in that format

If I were to say hours divided by miles, would the answer be miles per hour or hour per miles?

Answers

Answer:

You would say miles per hour.

The diagram shows a circular pond with a path around it. the Pond has a radius of 6 m. The path has a width of 1 m. Workout the area of the path. Give your answer correct to three significant figures.

Answers

A N S W E R :

Given :

☄ Radius of circular pond = 6 m

☄ The path has a width = 1 m

To Find :

☄ Area of the path = ?

Formula we have to use here :

☄ Area of path = Length of path × width

☄ Length of path = Circumference of pond

Solution :

☄ Area of the path is 37.72 m²

Required Explaination :

To caculate the area of path first we need to find the Length of path. To Calculate the Length of path we have to use given below formula :]

Length of path = Circumference of pond

Now, subsitute the given values in above formula we get :

→ Length of path = Circumference of pond

→ Length of path = 2πr

→ Length of path = 2 × 22/7 × 6

Length of path = 264/7 m

Hence,the Length of the path is 264/7 m.

Now,let's find the area of the path :

→ Area of path = Length of path × width

→ Area of path = 264/7 × 1

Area of path = 37.72 m²

Hence,the area of the path is 37.72 .

Anybody know this? I’m not sure how to do it at all.

Answers

2 is 42 but i’m not sure about one

Answer:

1. 70°

2. 42°

Step-by-step explanation:

they are both isosceles Triangles as both diagrams state that they have two sides the same length. therefore their base angles will be equal.

1. 55 + 55 = 110

180 - 110 = 70°

2. 180 - 96 = 84

84/2 = 42°

-21(31 -4)+75 simplified expression

Answers

Answer:-492

Step-by-step explanation:

1. calculate within parentheses (31-4):27

=-21 x 27 +75

2.multiply and divide(left to right) -21 x 27:=-567

=-567+75

3. add and subtract (left to right)-567+75:-492

=-492

How much money does Ronnie need to buy 9 dog calendars and 3 maps of the world?

Answers

Answer: How much do they cost-.....

Step-by-step explanation:

Given that
R=8x+6y
Find x when
y=2 and R=16
Give your answer as a fraction in its simplest form.

Answers

Answer:

x = ½

Step-by-step explanation:

16=8x+6×(2)

16=8x + 12

16 - 12= 8x

4 = 8x

x= 4/8

x = ½

(5+6b^3)^2 expand and combine like terms

Answers

Answer:

(5+6b^3)(5+6b^3)

25+30b^3+30b^3+36b^6

36b^6+60b^3+25

I hope this helps:

Company A manufactures and sells gidgets. The owners have determined that the company has the monthly revenue and cost functions shown, such that x represents the number of gidgets sold.
R(x) = 16x
C(x) = 12x + 1,424
At what number of gidgets sold will the company break-even (the point where revenue equals cost)?

A.
480 gidgets
B.
51 gidgets
C.
356 gidgets
D.
119 gidgets

Answers

Answer:

Option C.  356 gidgets

Step-by-step explanation:

we have  R(x) ----> the monthly revenue function  C(x) ---> the monthly cost function  x ----> the number of gidgets sold we know that  Break-even means that the revenue equals cost  so  solve for x

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