In a quadrilateral, the measure of two opposite angles is the same. Each of the other
two angles measures exactly two times the given angle. Find the measure of each angle
in the quadrilateral.

Answers

Answer 1

Answer:

the two opposite angles equal 45 and the other two who are twice the amount is 90

Step-by-step explanation:

sum of angles in a quadrilateral is 360. Lets name the two equal diagonal angles x that means the equation wil be

x+x+2x+2x=360

8x=360

x=45

so the equal diagonal ones will be 45 and the other two angles will be twice as much so 45x2=90


Related Questions

What is the solution to the inequality 1/4+x<5/6

Answers

Answer:

x < 7/12

Step-by-step explanation:

1/4+x<5/6

Multiply each side by 12 to get rid of the fractions

12*1/4+12x<5/6*12

3 + 12x < 10

Subtract 3 from each side

3+12x-3 < 10-3

12x < 7

Divide by 12

12x/12 < 7/12

x < 7/12

Answer:

A

Step-by-step explanation:

Plz help with this problem

Answers

Answer:

A = 222 in²

Step-by-step explanation:

A = 2(wl+hl+hw)             Use this equation to find the surface area of the rectangular prism

A = 2(5*12 + 3*12 + 3*5)    Multiply

A = 2(60 + 36 + 15)            Add in the parentheses

A = 2(111)                             Multiply

A = 222 in²

If this answer is correct, please make me Brainliest!

Selecting 5 out of the 13 students will ride in a car instead of a van.


A) Permutation

B) Combination

C) Circular permutation

Answers

Answer:

combination

Step-by-step explanation:

permutation is when there is a specific order, whereas combination is when they are not in any specific pattern (in this case, 5/13 students, not in any particular order. just 5.

I don't want to explain circular permutation right now (it's difficult to explain), but it's not it from my knowledge

The number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.

The way of selecting 5 out of the 13 students will ride in a car instead of a van is evaluated by the combinations.

We consider the group of 5 students can be selected to ride in a car instead of a van.

Thus, for selecting a random group of the data from the universal data, we have to apply combinations to evaluate it.

Therefore, the ways can be formulated as:

[tex]^{13}C_5=\dfrac{13!}{5! \times 6!}\\=1287\;\rm{ways}[/tex]

Thus, the number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.

To know more about the combinations, please refer to the link:

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A basketball has a circumference of 31.4 inches. Using 3.14 as an approximation for pie, what is the basketball's volume to the nearest cubic inch?

Answers

Answer:

0.52 cubic inches

Step-by-step explanation:

Given: circumference of a basketball is 31.4 inches.

[tex]\pi =3.14[/tex]

To find: basketball's volume to the nearest cubic inches

Solution:

circumference of a basketball (sphere) = 6.28(radius)

Also, circumference of a basketball = 31.4 inches.

So, 6.28(radius) = 3.14

radius = [tex]\frac{3.14}{6.28}=\frac{1}{2}[/tex] inch

Volume of the basketball (sphere) = [tex]\frac{4}{3}(\pi )(radius)^3=\frac{4}{3}(3.14)(\frac{1}{2})^3=0.52\,\,cubic\,\,inches[/tex]

Part A The circumference of a dinner plate is 19.5 inches. ​ ​What is its radius? ( use π=3.14 ) Round your answer to the nearest hundredth. inches.

Answers

Circumference = PI x diameter

FInd the diamter:

19.5 = 3.14 x diameter

Divide both sides by 3.14:

Diameter = 19.5 / 3.14

Diameter = 6.21019108 inches.

Radius = diameter / 2

Radius = 6.21019108 / 2

Radius = 3.10509554 inches

Rounded to the nearest hundredth = 3.11 inches.

Four students were asked to write an expression which has terms that have a greatest common factor of 8c.

the expressions provided by the students are shown below.

Tanya

32C+16cd

Wyatt

8c-48cd

Xavier

36c-24c yang. 8c+40

Which student wrote the correct expression?

Answers

Answer:

Wyatt

Step-by-step explanation:

Tanya: 32c+16cd=16c(2+d)

The GCD of the terms is 16c

Wyatt : 8c-48cd=8c(1-6d)

The GCD of the terms is 8c

Xavier :36c-24c =12c(3-2)

The GCD of the terms is 12c

Yang: 8c+40=8(c+5)

The GCD of the terms is 8

Since the expression is required to have a GCD of 8c, Wyatt wrote the correct expression.

Answer:

wyatt answered correctly

Step-by-step explanation:


can you please help me fill this out thanks

Answers

For perimeter you just add the sides up, so 15+12+9 which = 36

Answer:

i believe the perimeter is 36 im sorry if its not correct

Step-by-step explanation:

simple adding


Fill in the blanks:-
The product of a number and its reciprocal is __________ .

PLEASE HELP.....I NEED TO SUBMIT IT NOW

Answers

Answer:

The product of a number and its reciprocal is 1.

For i.e : 4/3 and its reciprocal 3/4, 4/3 x 3/4 = 1

Hope this helps!

:)

Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 for π.

The sphere's radius is 6.

Answers

Answer:

V≈904.78

Step-by-step explanation:

You have to multiply

6*3.14

Answer:

288π

Step-by-step explanation:

What is the solution to the system of linear equations graphed below?
5
4 3
2
1
1
2 3
4
5
x

Answers

Answer: -5,-1

Step-by-step explanation:

Answer:

-5,-1

Step-by-step explanation:

4/7 of the students in a classroom are boys. If there are twelve girls in the class, how many total students are there?

Answers

Answer:

28 students total.

Step-by-step explanation:

Let's use a ratio:

boys : girls

 4     :   3

 16    :   12

To find the total, we need to add 16 and 12 which equals 28

Answer:

28 students

Step-by-step explanation:

If 4/7 of the students are boys,

then 1- 4/7 = girls

7/7 -4/7 = 3/7

total students *3/7 = girls

total students * 3/7 = 12

Multiply each side by 7/3

total students * 3/7 *7/3 = 12*7/3

total students = 28

For the parrallelogram, if measure of angle 2= 5x-28 and measure of angle 4= 3x-10, Find x.

Answers

Answer:

x = 9

Step-by-step explanation:

Unfortunately you didn’t provide the figure however we can use the picture below to work on:

from a property of the parallelogram (opposit angles) we know that angle 2 and 4 are equal in measure

then

5x - 28 = 3x - 10

then

5x - 3x = 28 - 10

then

2x = 18

then

x = 18/2

  = 9

Jason went to a carnival where he could goon all rides for a flat fee of $30 but he had to pay $2 for each arcade game he played. Jason spent $44. How many arcade games did he play?

Answers

Answer:

He played 7 arcade games.

Step-by-step explanation:

The amount paid in relation to the number of games played can be modeled by a linear function in the following format:

[tex]A(n) = F + gn[/tex]

In which F is the flat rate and g is the price of each game.

Flat fee of $30 but he had to pay $2 for each arcade game he played.

This means that [tex]F = 30, g = 2[/tex]

So

[tex]A(n) = 30 + 2n[/tex]

Jason spent $44. How many arcade games did he play?

This is n for which A(n) = 44. So

[tex]A(n) = 30 + 2n[/tex]

[tex]44 = 30 + 2n[/tex]

[tex]2n = 14[/tex]

[tex]n = \frac{14}{2}[/tex]

[tex]n = 7[/tex]

He played 7 arcade games.

What is the area of this figure?

Answers

6 * 5 = 30 rectangle’s area
14 - 6 = 8 triangle’s base length
bh/2 for area of a triangle
8 * 5 /2 = 20 area of the triangle
20 + 30 = 50 total area
50cm^2

Answer: 50

Step-by-step explanation:

Base: 8

Height: 5

The formula for the area of a triangle is base times height divided by two. Add the area of the rectangle to the triangles and BOOM there’s your answer.!.

A number cube is rolled 12 times and lands on 3 four times and on 5 three times. Find the experimental probability of landing on three.

Answers

Answer:

the answer is 27

Step-by-step explanation:

because you have to multiply 3x4 and 5x3 which will give you 15 and 12 which equals 27

When a cycle is sold allowing 10% discount on its marked
price a seller gains 5% and allowing 5% discount the profit is
Rs 351. Find the cost price of the cycle. (Ans: Rs. 3240)​

Answers

The cost price of the cycle is Rs.3240

Represent the cost price of the cycle with x and the selling price with y

A gain of 5% when the marked price is at a discount of 10% implies that:

[tex]5\%=\frac{(1 - 10\%)y-x}{x}[/tex]

Express 10% as decimal

[tex]5\%=\frac{(1 - 0.10)y-x}{x}[/tex]

[tex]5\%=\frac{0.90y-x}{x}[/tex]

Express 5% as decimal

[tex]0.05=\frac{0.90y-x}{x}[/tex]

Cross multiply

[tex]0.05x=0.90y-x[/tex]

Collect like terms

[tex]x + 0.05x=0.90y\\[/tex]

This gives

[tex]1.05x=0.90y[/tex]

Make y the subject of the formula

[tex]y = \frac{1.05x}{0.90}[/tex]

Also, when the discount is 5% and the profit is 351, we have:

[tex]351=(1 - 5\%)y -x[/tex]

Express 5% as decimal

[tex]351=(1 - 0.05)y -x[/tex]

This gives

[tex]351=0.95y -x[/tex]

Make y the subject

[tex]0.95y = 351 + x[/tex]

Substitute [tex]y = \frac{1.05x}{0.90}[/tex]

[tex]0.95 \times \frac{1.05x}{0.90} = 351 + x[/tex]

[tex]\frac{0.9975x}{0.90} = 351 + x[/tex]

Subtract x from both sides

[tex]\frac{0.9975x}{0.90} -x= 351[/tex]

Take LCM

[tex]\frac{0.9975x - 0.9x}{0.90}= 351[/tex]

[tex]\frac{0.0975x}{0.90}= 351[/tex]

Multiply both sides by 0.90

[tex]0.0975x= 315.9[/tex]

Divide both sides by 0.0975

[tex]x= 3240[/tex]

Hence, the cost price of the cycle is Rs.3240

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At the movie theatre, child admission is $5.60 and adult admission is $8.80. On Saturday, 146 tickets were sold for a total sales of $1067.20. How many adult tickets were sold that day?

Answers

Answer: 68 adult tickets were sold and 78 child tickets were sold.

Step-by-step explanation:

a + c = 146 where a is the number of adults tickets sold and c is the numbe rof child tickers sold.

5.60 a+ 8.80c= 1067.20

    a    + c = 146

5.60a  + 8.80c = 1067.20 solve by elimination.

a=68

c =78

Which expressions have a value of 15 when
S = 15

Answers

what are the answer choices?

The expression S/3 + 10 has the value of 15 when S = 15. Then the correct option is A.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Let's check all the options, then we have

A. S/3 + 10

If S = 15, then we have

⇒ 15 / 3 + 10

⇒ 5 + 10

⇒ 15

B. S/2 + 10

If S = 15, then we have

⇒ 15 / 2 + 10

⇒ 10 + 10

⇒ 20

C. S + 10

If S = 15, then we have

⇒ 15 + 10

⇒ 15 + 10

⇒ 25

D. - S/3 + 10

If S = 15, then we have

⇒ -15 / 3 + 10

⇒ -5 + 10

⇒ 5

The expression S/3 + 10 has the value of 15 when S = 15. Then the correct option is A.

More about the value of the expression link is given below.

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The missing options are given below.

A. S/3 + 10

B. S/2 + 10

C. S + 10

D. - S/3 + 10

2 Points
What is the surface area of the cube below?
A. 96 units2
B. 64 units2
C. 80 units2
D. 120 units2

Answers

Answer:

A

Step-by-step explanation:

The cube has 6 surfaces with side lengths 4 by 4. Each of the faces has area 4*4=16 units, and multiplying this by 6 yields 96 units, or answer choice A. Hope this helps!

The surface area of the given cube is 96 square units, option A is correct.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The formula to find the surface area of cube is 6s²

Where s is the side length of cube

s=4 from the given cube

Plug in the value of s in surface area formula

surface area = 6(4)²

=6×16

=96 square units

Hence, the surface area of the given cube is 96 square units, option A is correct.

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Find the value c that completes the square for x^2-8x+c

Answers

Answer: 16

Step-by-step explanation:

[tex]x^2-8x+c[/tex]

Let's complete the square.

[tex]c=(\frac{b}{2})^2[/tex]

[tex]c=(\frac{-8}{2})^2[/tex]

[tex]c=(-4)^2\\ c=16[/tex]

The value c that completes the square for x²-8x+c is,

c = 4

We have to give that,

An equation is,

⇒ x² - 8x + c

Now, Complete the quadratic equation to square,

⇒ x² - 8x + c

⇒ x² - 2×2²×x + 4

⇒ x² - 8x + 4

⇒ (x - 2)²

Hence, The value c that completes the square for x²-8x+c is,

c = 4

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Myra is a scientist and needs 45 gallons of a 16% acid solution. The lab is currently stocked only with a 20% acid solution and a 10% acid solution. Myra will need to mix how many gallons of the 20% solution and how many gallons of the 10% solution to have what she needs.

Answers

Answer:

The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons

Step-by-step explanation:

Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:

x + y = 45

The concentration of acid of the final solution is:

0.2*x + 0.1*y = 45*0.16

0.2*x + 0.1*y = 7.2

Therefore we have a system of equation:

x + y = 45

0.2*x + 0.1*y = 7.2

We need to multiply the first equation by -0.1:

-0.1*x -0.1*y = -4.5

0.2*x + 0.1*y = 7.2

We now sum both equation:

0.1*x = 2.7

x = 2.7/0.1 = 27 gallons

y = 45 - 27  = 18 gallons

What is the surface area?
10 cm
8 cm
10 cm
12 cm
10 cm
square centimeters

Answers

Step-by-step explanation:

surface area = (2*0.5*12*8) + (2*10*10) + (12*10)

= 96 + 200 + 120

= 416 cm^2

Find the resultant​ (sum) of the complex numbers. Express in rectangular form a plus b i.
3 - 12 i, -7 + 2 i

Answers

Answer:

he trigonometric ( or polar) form of  z= a+bi is z = r(cosθ+isinθ) .

So for Part 3  3 - 3i we have r = √(3^2 + (-3)^2) = 3√2 and θ= arctan(3/-3) = arctan (-1) = -π/4.

So the answer is  3√2(cos(-π/4) + isin(-π/4).

Part 1.  3 =  3(cos 0 - i sin 0).

Part 2.  -6i =  6(cos (-π/2) - isin -(π/2)

Step-by-step explanation:

If 3x and 71/x are two prime numbers V x equivalent to R, then number of x so that 3x + 71/x = 10 is/ are

Answers

Answer:

x = 5/3

Step-by-step explanation:

Guven two prime numbers to be 31/x and 71/x, if their sum is 10 as given;

3x + 71/x = 10 then to find the value of x, the following steps must be taken;

Step 1

Find the LCM of the given equation;

3x + 71/x = 10

[tex]\frac{3x^{2}+71 }{x} =10\\[/tex]

Step 2:

Cross multiplying;

[tex]3x^{2} +71=10x\\3x^{2} -10x+71 =0\\[/tex]

Using the general formula to get the value of x;

x = -b±√b²-4ac/2a

a=3, b=-10, c=71

= 10±√(-10)²-4(3)(71)/2(3)

= 10±√100-852/6

= 10±√-752/6

= 10±27.4i/6

= 10+27.4i/6 or 10-27.4i/6

x = 5/3+27.4i/6 or 5/3-27.4i/6

Since the values of x are real values then, our answer will be the real part of the complex number gotten.

x = 5/3

A bakery sold 32 bagels in the first hour of business and 39 bagels in the second hour. If the bakery had 241 bagels to start with, how many bagels were left after the second hour.

Answers

Answer:

170 Bagels

Step-by-step explanation:

Add the amount of bagels from the first and second hour which equals to 71, then subtract that from the total which is 241 and you will get 170.

Can someone please help me? I keep losing points...

CORRECT ANSWERS ONLY PLEASE!!!!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Round your answer to the nearest cent.

Answers

Answer:

$14,000

Step-by-step explanation:

i = prt

i= ($70,000)(.04)(5)

i = $14,000

Answer:

$14000

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 70000 × 4/100 × 5

I = $14000

A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from the top of the building to the end of the shadow it creates is at a 32° angle with the ground. What is the approximate height of the building? Round your answer to the nearest meter. The building is meters high.

Answers

The height of the building with a shadow of 88 feet is 55 feet.

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the building, hence using trigonometric ratios:

tan(32) = h / 88

h = 88 * tan (32) = 55 feet

The height of the building with a shadow of 88 feet is 55 feet.

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Answer: 55

Step-by-step explanation: The building is 55 meters high

Someone please help me with the answer. ASAP

Answers

option a is the answer you are which class same question is there for me

Solve this Inequality, show work if you can, Thanks!!

Answers

Answer:

28 is less than or equal to x

Step-by-step explanation:

20 is less than or equal to x - 8

20 + 8 is less than or equal to x - 8 + 8

You add to cancel out the 8 to isolate x.

28 is less than or equal to x

Question 3- Please help. Find the area of the sector for the image below:

Answers

Answer:

The answer is 16.8 cm^ 2.

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