5.
In the parallelogram ABCD, the diagonals AC and BD
are equal in length. What is the measure of the angle A
?
two
(A) 30
(B) 45
(C) 60
(D) 75
(E) 90
How to solve this?

Answers

Answer 1

Answer:

  (E) 90°

Step-by-step explanation:

The diagonals of a parallelogram are equal in length if and only if the parallelogram is a rectangle.

Any angle of a rectangle is 90°.

_____

Adjacent angles of a parallelogram are supplementary. If the diagonals are the same length, the triangles formed by either diagonal are congruent with the triangles formed by the other diagonal. This means adjacent angles are congruent. Congruent supplementary angles are 90°.


Related Questions

You earn $1,600 per pay period. Your deductions are $110, $66, and $14. What is your net pay?

Answers

Answer:

Your net pay is

[tex]$1410[/tex]

Step-by-step explanation:

All we have to do is add the deductions and then subtract them from what your earn.

[tex]1600 - (110 + 66 + 14) = \\ 1600 - 190 = 1410[/tex]

HELP PLS I NEED help this is to get my grade up

Answers

Answer:  Around 10 days.  The real answer is 10 2/3.

Answer:

10 and 2-third days.

Convert mixed number to improper fraction

Initial equation

[tex]\frac{176}{9} / \frac{11}{6}[/tex]

Next, multiply the numerators by the numerators, and do the same for the denominators. Flip the second number to 6/11

[tex]\frac{176 * 6}{9 * 11}[/tex]

[tex]= \frac{1056}{99}[/tex]

Simplify.

[tex]\frac{1056}{99} -- > 10\frac{2}{3}[/tex]

free easy point just answer pls, i need help!!!

Answers

AA , BB , and CC are parallel to MN.

Answer:AA , BB , and CC are parallel to MN.

Step-by-step explanation:

|2x+1|=-13 what is the answer

Answers

Answer:

There is no answer

Because absolute value causes a positive answer and it is written here -13 !!!

it's impossible

A group of friends were working on a student film. They spent all their budget on equipment and props. They spent $712 on equipment, and 11% of the total budget on props. What was the total budget for their student film?

Answers

Answer:

800 dollars

Step-by-step explanation:

The amount spent on equipment is 89% of the total

712÷89 = 8 x 100 = $800

ANSWER CORRECTLY FOR BRAINLIEST!! (ALGEBA)

Answers

Answer:

267.95 cubic yards

Explanation:

volume of sphere: 4/3 π(radius)³

Here given:

radius: 4 yd

Volume:

4/3 π(radius)³

insert values

4/3 (3.14)(4)³

simplify

267.9466

final answer

267.95 yd³

Find the volume of the cylinder. Round your answer to the nearest tenth if necessary. Use 3.14 for π.

A can of juice has a radius of 7 inches and a height of 8 inches. What is the volume of the can?

The volume of the can is about _____.

Answers

Answer:

1230.9

step by step explanation:

Which doubles fact helps help you solve 5+6=11

Answers

We have to double 5 and add 1 to get the same result.

5 + 5 + 1 = 11

We can also double 6 and subtract 1 to get the same result.

6 + 6 - 1 = 11

Hope this will helpful.

Answer:

They can use counters or their fingers, but they can also use doubles facts. If they know 5 + 5 = 10, they know that the sum of 5 + 6 will be one more. Thus, 5 + 6 = 11. Practice solving other doubles-plus-one facts together, such as 3 + 4, 7 + 8, and 9 + 8.

There are two boys and 23 girls, what’s the ratio of girls to all children?

Answers

Answer:

23:25

Step-by-step explanation:

Answer:

23/25 23 to 25   23:25

Step-by-step explanation:

Two boys  23 girls=25 children

girls=23

23/25

What is the third angle on a triangle with angels of 45 and 45?​

Answers

           - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

        what is the third angle of a triangle with angles of 45 and 45?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

      Angles in a triangle always add up to [tex]\bold{180\textdegree}[/tex].

❖ Here we are given 2 angles:-

45 and 45, which add up to 90.

❖  Subtract 90 from 180:-

90

So the angles are 45, 45 and 90.

Good luck.

       

         - - - - - - - - - -- - - -  - - - - - - -- - - - - - - - -  -

Answer:

90 degrees.

Step-by-step explanation:

As there are 180 degrees in a triangle

third angle = 180 - 45 - 45 = 90 degrees.

Can someone answer these 2 for me please ? :)

Answers

Answer:

1) B. (6,-3)

2) D. (-8,-2)

does anyone know how to turn this into written form?

Answers

Answer:

Down below

Step-by-step explanation:

First one:  Sixth root of B.  Second one:  Fourth root of X to the Z power.  Third one:  Square root of nine to the third power.  Fourth one:  M root of M to the P power.  Fifth one:  Square root of J to the two plus x power.

Sorry if this is wrong.  I'm almost positive this is correct.  The only one I'm not sure about is the third one and maybe the last one.  Since there's no two there I'm not sure if it would still be called the square root.

I really need help answering this!

Answers

Answer: 15

Step-by-step explanation:

Pythagorean theorem: c^2 = a^2 + b^2 where c is hypotenuse, a and b are legs.



In this problem:

a = 20

c = 25

b - ?

b^2 = c^2 - a^2

b^2 = 25^2 - 20^2

b^2 = 625 - 400

b^2 = 225

b = sqrt(225)

b = 15

Find the area of the given triangle.
Round your answer to the nearest tenth. Do not round any intermediate computations.

Answers

Answer: 88 units²

Step-by-step explanation: Alright, this ones is easy. Ok, so we know we have a right triangle so, therefore, we can find the missing sides required using trigoneomeric functions. If you dont know what these are here, take a look:

sinФ= opposite/hypotenuese

cosФ= adjancent over hypotneuse

tanФ= opposite/adjecent.

angle is 34

In this case the opp (opposite would be the base of the trinagle, the adj would be 16 units, and the hyportneuse would be "we dont know"

From here, we can set up this equation to find the area->

If, tanФ= opp/adj and opp= ? and adj=16tan34°*16=opp-------->≈11 units

Now we know the base and height of the triangle, so using the formula 1/2*B*H for the area we get 88 units². Thank you!

The Area of Triangle is 86.272 unit².

What is Trigonometry?

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Perpendicular = 16

Using Trigonometry

tan 34 = P / B

0.674 = 16/ B

B= 10.784

So, Area of Triangle = 1/2 x b x h

                                 = 1/2 x 16 x 10.784

                                 = 86.272 unit²

Hence, the Area of Triangle is 86.272 unit².

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ2

The difference between a number and seven is less than or equal to -3. Find the possible numbers. n ≤ 4 n ≥ 4 n ≤ -10 n ≥ -10

Answers

Answer:

n ≤ 4

Step-by-step explanation:

"The difference between a number and seven is less than or equal to -3" can be written as n-7 ≤ -3

n-7 ≤ -3

Add 7 to both sides

n ≤ 4

Answer is n ≤ 4


See picture attached for the math

What is the area of the square with a length of 3/4 and a width of 3/4, in square units?

Answers

Answer: 9/16
Decimal Form: 0.5625 (Not Rounded)

The total debt to total assets of lans landscaping was 0.51. The total of lan assets was $234,00. What the amount of total debt?

Answers

The total amount of debt is $119,340.

What is the amount of total debt?

The total debt to total assets ratio is a financial ratio. It is the ratio of total debt to total asset. It also known as the total debt ratio

Total debt ratio = total debt / total asset

total debt = value of the ratio x value of the assets

0.51 x $234,000 = $119,340

To learn more about financial ratios, please check: https://brainly.com/question/26092288

#SPJ1

Please help. Don’t understand

Answers

If the measure of the angle is 2π/3 the correct option will be tan∅=-√3.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

It is given in the question that:-

The measure of the angle is = [tex]\dfrac{2\pi}{3}[/tex]

We can also write the angle as = [tex]\dfrac{2\times 180}{3}=120[/tex]

Now from the options, the only value which satisfies this angle is tan∅=-√3.

 [tex]tan\dfrac{2\pi}{3}=tan \dfrac{2\times 180}{3}=tan(120)=-\sqrt{3}[/tex]

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ1

Right triangles and trigonometry

Answers

Answer:

x=5.11

Step-by-step explanation:

Hi there!

We are given a right triangle (notice the right angle), with one of the angles being equal to 64 degrees

We also know one of the sides is 42, another is x, and the other one is not marked

We want to find the value of x, which we can do using trigonometry

The 3 main trigonometric functions are:
Sine, which is opposite/hypotenuse

Cosine, which is adjacent/hypotenuse

Tangent, which is opposite/adjacent

First, let's find which side is which

The side opposite the 64 degree angle is the opposite; this side is the side marked as 42

The adjacent side would be the other leg (one of the sides creating the right angle); in this case, that would be the side marked as x

The hypotenuse in this case would be the side that hasn't been marked yet

Since we are given values for both the opposite and the adjacent, let's use tangent to find x

Since 64° was the angle we referenced to determine which side was which, we will also make the ratio with this angle.

Therefore, the ratio will be:

[tex]tan(64)=\frac{42}{x}[/tex]

Now we need to solve for x; start by multiplying both sides by x

x * tan(64) = 12

Now divide both sides by tan(64)

x = [tex]\frac{12}{tan(64)}[/tex]

Plug [tex]\frac{12}{tan(64)}[/tex] into your calculator; make sure the calculator is on degree, not radian mode

[tex]\frac{12}{tan(64)}[/tex] ≈ 5.11 (rounded to the nearest hundreth)

So x is about 5.11

Hope this helps!

Topic: trigonometry in right triangles

See more on this topic here: https://brainly.com/question/24149161

Match each function with its range.

Answers

Step-by-step explanation:

1. y <= 0

2. all real numbers

3. y >= 0

4. y >= 2

5. y >= -2

6. y <= 2

Please solve (high points)

Answers

Answer:

a = 13.24 m

Step-by-step explanation:

Finding ∠A :

∠A + ∠B + ∠C = 180° (Angle Sum Property)∠A = 180° - 48° - 54°∠A = 180° - 102°∠A = 78°

Applying the Law of Sines :

a / sin78° = 10 / sin48°a / 0.98 = 10 / 0.74a = 13.51 x 0.98a = 13.24 m

Answer:

  13.2 m

Step-by-step explanation:

The Law of Sines can be used to solve a triangle when angles and one side are known.

__

setup

The angles of a triangle total 180°, so the missing angle A is ...

  ∠A = 180° -48° -54° = 78°

The Law of Sines tells us ...

  a/sin(A) = b/sin(B)

  a/sin(78°) = (10.0 m)/sin(48°)

__

solution

Multiplying by sin(78°), we find ...

  a = sin(78°)/sin(48°)×(10.0 m) ≈ 0.978148/0.743145×(10.0 m)

  a = 13.1623 m

The length of side 'a' is approximately 13.2 meters.


Which of the following are solutions to the quadratic equation below?
Check all that apply.

x^2+ 6x + 9 = 2

Answers

Answer:

C & D

Step-by-step explanation:

x^2+6x+7=0

Delta=b^2-4ac=6^2-(4*1*7)=36-28=8

X=((-b)+-(delta)^(1/2))/2

X=((-6)+-(2^(3/2)))/2

[tex]x1 = - 3 - \sqrt{2} \\ x2 = - 3 + \sqrt{2} [/tex]

A square has sides with lengths of (x − 1) units. A rectangle has a length of x units and a width of (x − 2) units. Which statements about the situation are true? Select all that apply. A The value of x must be greater than 2. B The difference in the areas is 2x−1. C The area of the square is (x2 − 1) square units. D The area of the rectangle is (x2 − 2x) square units. E The area of the square is greater than the area of the rectangle.

Answers

Answer:

A, D, E

Step-by-step explanation:

AREA OF SQUARE

[tex](x - 1)(x - 1) = x^2 - 2x + 1[/tex]

AREA OF RECTANGLE

[tex]x(x - 2) = x^2 - 2x[/tex]

Using this we know that the difference is 1, so B is incorrect. We also know that D and E are correct because we solved for the area. C is also wrong, by the same reasoning. Now, all we need to see is if A is right. Plug in x = 2.

[tex](2)^2 - 2(2) + 1 \\= 4 - 4 + 1 \\= 1[/tex]

Because the area of the square is a square unit larger than the rectangle, the rectangle would have an area of 0, which is impossible, so A is correct.

PLEASE HELP!!!!!!! IMA DESPRATE!!!!!!! A radioactive isotope decays exponentially. The time it takes for half of the amount to decay is called the isotope's half-life. If an isotope has a half-life of 16 hours and you initially have 154 mg, how much will you have left after 64 hours? Round to the nearest thousandth.

Answers

Since the isotope is initially 154 mg, the amount of radioactive isotope left after 64 hours is 9.625 mg

To answer the question, we need to know what radioactive decay is.

What is radoactive decay?

Radioactive decay is the spontaneous disintegration of a larger atom to a smaller one

What is half-life?

Half-life of a radioactive isotope is the time it takes for the isotope to decay to half its initial value.

Amount left after n half lives

The amount left after n half lives is N = (1/2)ⁿN₀ where N₀ = initial mass of isotope.

Given that the half-life of the isotope is 16 hours, and we desire the amount present after 64 hours.

The number of half-lives after 64 hours is n = time/half-life

= 64 h/16 h

= 4

Since we have 154 mg of isotope present, N₀ = 154 mg

Given that

n = 4 and N₀ = 154 mg

Substituting the values of the variables into N, we have

N = (1/2)ⁿN₀

N = (1/2)⁴ × 154 mg

N = 154 mg/16

N = 9.625 mg

So, the amount of radioactive isotope left after 64 hours is 9.625 mg

Learn more about radioactive decay here:

https://brainly.com/question/26085040

#SPJ1

Each morning, Jon rides 1.5 miles to school and then rides to his aunt’s house after school. Later in the evening, he takes the same route to get back to his house. Over 5 days, he rides 44 miles.

Which equation can be used to find x, the distance from school to his aunt’s house?

Answers

The equation that can be used to determine the distance from school to his aunt's house is x = 29 miles / 10.What equation can be used to represent the total distance travelled? Total miles rode = 10(miles ridden to school) + (10 x miles rode to his aunt's house from school) 44 miles = (10 x 1.5) + (10 × x)44 miles = 15 miles +  10x What equation that can be used to determine distance rode from school to her aunt's house? Given this equation : 44 miles = 15 miles +  10x, take the following steps: Combine similar terms: 44 miles - 15 miles = 10x 29 miles = 10x Divide both sides by 10 x = 29 miles / 10 

Find the area of the yellow region.
Round to the nearest tenth.
5ft

Answers

Answer: 9.3  

I calculated the area of the square, then I calculated the area of the circle.  Then I subtracted the two.

Answer:

5.3

Step-by-step explanation:

A square has equal sides

LXW=A

5x5= 25

diameter of the circle is 5 ft

D/2=R 5/2= 2.5

Area of a circle is [tex]\pi r^2[/tex]  (Pi=3.14)

[tex]3.14 X (2.5)^2[/tex]= 3.14 x 6.25=  19.625.

Area of yellow region

Area of square - Area of circle.

25-19.625 = 5.375 rounded to nearest 10th is 5.3

How much should you put in an investment paying a simple interest rate of​ 5% if you needed​ $4000 in eighteen​ mont

Answers

Answer:

$ 53,333.33

Step-by-step explanation:

The formula for simple interest is I = PRT. So, we are trying to solve for P(original investment). To do this, we get the formula P = I / RT. This is the formula we will be using.

Work:

First, converting R percent to r a decimalr = R/100 = 5%/100 = 0.05 per year,putting time into years for simplicity,18 months ÷ 12 months/year = 1.5 years,then, solving our equation

P = 4000 / ( 0.05 × 1.5 ) = 53333.333333333

P = $ 53,333.33

I need helppppppp :((

Answers

Answer:

  H  x/10 = 18/8

Step-by-step explanation:

The fact that DE is parallel to CB means DE divides AC in the same proportion that it divides AB. This fact can be used to write a proportion to find x.

__

  [tex]\dfrac{\overline{DC}}{\overline{AD}}=\dfrac{\overline{EB}}{\overline{AE}}\\\\\boxed{\dfrac{x}{10}=\dfrac{18}{8}}\qquad\text{matches choice }\textbf{H}[/tex]

_____

Additional comment

The values used in the other answer ratios are not "corresponding."

Answer:

H

Step-by-step explanation:

∠ADE is a scaled version of ∠ ABC.

So,

18:8

and

10:x

Ratios can be expressed as fractions:

[tex]\frac{8}{18}[/tex] and [tex]\frac{x}{10}[/tex].

Since the scale factor is the same,8/18 has to be the same as 10/x.

Therefore,[tex]\frac{8}{18}[/tex]=[tex]\frac{x}{10}[/tex].

Hope this helps!!!

Please mark me as brainliest!!!

This took a lot of effort.

isaac gets paid $400.00 per week plus a commission of $10.00 for every item he sells. write the equation that shows the relationship between the number of items he sells and his weekly income.

Answers


y= 10x + 400 is the correct equation

Answer:

400w + 10x

I have no idea what I'm doing

Helppppppppppppooooo

Answers

Answer:

864 ft^2

Step-by-step explanation:

Surface area equation is the same as the one used in the other problem; S=(1/2)lP + B

one side is 20 x 14 = 280

another side is 12x14 = 168

another side is 16x14 = 224

the triangle bases are A=(1/2)bh

(1/2)12 x 16 = 96

2(96) = 192

Add all sides together 192 + 224 + 280 + 168 = 864

Other Questions
Identify how the expansion of taiwans economy has affected taiwanese as well as indonesian and filipino women. In a given chemical reaction, the energy of the products is greater than the energy of the reactants. Which statement is true for this reaction?A. Energy is absorbed in the reaction.B. Energy is released in the reaction.C. No energy is transferred in the reaction.D. Energy is created in the reaction.E. Energy is lost in the reaction. What is the central argument presented in the Declaration of Independence? A mean weight of 2.2 pounds is computed for a random sample of 50 catfish from a lake. What can you infer from this random sample?A)You infer that the mean weight of all catfish is close to 2.2 pounds.B)You infer that the mean weight of all catfish is exactly to 2.2 pounds.C)You infer that the mean weight of catfish in the lake is close to 2.2 pounds.D)You infer that the mean weight of catfish in the lake is exactly to 2.2 pounds. Giving brainiest ~ please helpp ^^ hey so I'm a 15 year old in Geometry HN and I have my SOL tomorrow, (baisaclly state testing) I've been stuffy for weeks now yet my brain just can't comprehend ANYTHING! and I'm honestly so frustrated. Could anyone help me with these questions? about circles? I would appreciate if someone gave me a step-by-step process if it isn't to much to askDirections: Find X. O represents the center of the circle Can I ranch when I have a UTI? please help me with math id really appreciate it thank you If r is a commutative ring, show that the characteristic of r[x] is the same as the characteristic of r. Which statement is the best synthesis of information from these two sources? Source 1: House plants can add beauty to a room, particularly during the winter months.Source 2: Houseplants have been shown to help clean the air inside a home. A.Houseplants are a affordable way to decorate a space if there is enough light.B. Having houseplants that are easy to care for is a simple way to help keep the air inside a home clean. C. Placing several houseplants together on a windowsill that gets at least some sun can be a nice touch. D. Houseplants provide a source of beauty may also offer health benefits to residents. Explain how Koppens climate system classified climates.NEED HELP ASAP! a product that is a Good and give one example of a product that is a Service The kidneys are organs in the excretory system.Which of the following is true about the kidneys?Choose 1 answer:(A) the kidneys are made up of a different type of tissue.(B) the kidneys are made up of different tissues that carry out the same function.(C) the kidneys are made up of tissues with different functions that work together. Find the height of a cylinder with a volumeof 475pie cubic meteresand radius 5 meters The zone of proximal development is the area between what a child is able to do with the help of a more competent teacher and what the child can do alone. please select the best answer from the choices provided t f WHO would want to manipulate American citizens? Why? Can someone help. I literally forgot this how use technology to find the solution to the system: 8x - 4y = -24 4x - 12y = -32 Which are true about using artificial intelligence? Select 2 options.The user will always be able to figure out the computer's strategy.The computer reaches a maximum level of skill.Full implementation of AI is very complex.The computer changes its performance based on experience.The goal is that the computer will always win. HELP PLSThe function of F is defined by f(x)=x+2find F(n-4)