Unghiurile ∢AOB și ∢BOC sunt adiacente suplementare, iar OM, respectiv ON, sunt bisectoarele acestora. Fie BD ⊥ OM, D ∈ OM și BE ⊥ ON, E ∈ ON . Demonstrați că: a) patrulaterul BDOE este dreptunghi. b) OB ≡ DE .

Answers

Answer 1

Answer:

Following are the solution to this question:

Step-by-step explanation:

[tex]\angle AOB + \angle BOC = 180\\\\\angle MON = (\angle AOB + \angle BOC): 2 \\\\[/tex]

            [tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]

In point a:

[tex]\angle AOB = 60\\\\ \angle BOC = 120\\\\ \angle MON = (60 + 120): 2 \\\\[/tex]

            [tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]

In point b:

[tex]\angle BOC = 100\\\\\angle AOB = 80\\\\ \angle MON = (100 + 80): 2[/tex]

            [tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]


Related Questions

The domain of the following relation: R: {(-3,4), (5,0), (1,5), (2,8), (5,10)} is (1 point)

a. {-3,1,2,5}
b. {4,0,5,8,10}
c. {-3,5,1,2,5}
d. No domain exists​

Answers

X’s are domain and y’s are range therefore the answer is a.

Help ASAP I need it quick please and thank you!!!!!

Answers

If I remember correctly then top right is quadrant 1 which is (+,+) then quadrant 2 is top left which is (-,+). The answer should be quadrant 2.

State if the two triangles are congruent, if they are state how you know.

A. SSS
B. HL
C. LL

Answers

Answer:

I belive it would be HL because its defenitly not SSS

Step-by-step explanation:

HL Postulate is if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Can Anybody Help With Geometry?

Answers

Answer:

SAS

Step-by-step explanation:

Side Angle Side: It shows only one angle and shows that 2 sides are congruent.

Answer:

It is SAS. Please mark brainliest.

Step-by-step explanation:

The coldest temperature last December was –18.24 degrees. The difference between this and the highest recorded temperature was 56.24 degrees. What was the highest recorded temperature?

Answers

Answer: The highest recorded temperature was 38 degrees.

Step-by-step explanation:

Given: The coldest temperature last December was –18.24 degrees.

Difference between this and the highest recorded temperature=

56.24 degrees

The highest recorded temperature = coldest temperature + difference

= -18.24+56.24 degrees

= 38 degrees

Hence, the highest recorded temperature was 38 degrees.


Below is a formula for the volume of a pyramid
V = 1/3 Bh , where B is the base area and h is the height
Solve the formula for h.
What is the height of a pyramid with base area 15 cm² and volume 45 cm?
A:1 cm
B:3 cm
С:6 cm
D:9 cm

Answers

Answer:

D

Step-by-step explanation:

Refer to the picture that givem

HELLLLLLLLLLLLLLLLLLLPPPPPPPP

Answers

Answer:

option 4

Step-by-step explanation:

Answer:

Option 4 (C)

Step-by-step explanation:

Substitute the f(x) = 10 - x^2 into where it says f(x):

g(x) = 3 f(x) - 8

g(x) = 3 (10-x^2) - 8

Because there is a -2 in place of the x in g(x), then we need to substitute the value of 2 for x into the equation:

g(-2) = 3 (10-(-2)^2) - 8

g(-2) = 18 - 8

g(-2) = 10

^-^ hope this helps! (●´ω`●)

When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the

Olympics, she looked out at her family sitting on the front row (level with the pool) at a 20°

angle of depression. How far away was Ren from her family (ground distance)? Round to the

nearest tenth of a meter.

Write answer like this: ##.# m.

(5 Points)

Enter your answer

Answers

Answer:

Ren was 27.5 meters away from her family.

Step-by-step explanation:

Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.

But the angle of depression is measured with respect to the horizontal plane, so;

the vertical angle = [tex]90^{o}[/tex] - 20°

                             = [tex]70^{o}[/tex]

Applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]

⇒ x = 10 x Tan [tex]70^{o}[/tex]

      = 10 x 2.7475

      = 27.475

x = 27.5 meters

Ren was 27.5 meters away from her family.

Graph the line y=-2/3x+3

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:

2

3

y-intercept:

(

0

,

3

)

x

y

0

3

9

2

0

Step-by-step explanation:

Answer: x = (0,0)  y = (3,0)

Step-by-step explanation:  you have to find the Asymptotes In The Equation

A number is called flippy if its digits alternate between two distinct digits. For example, 2020 and 37373 are flippy, but 3883 and 123123 are not. How many five-digit flippy numbers are divisible by 15?
A 3
B 4
C 5
D 6
E 8

Answers

Answer: B: 4

Step-by-step explanation:

A number is divisible by 15 if the number ends on a 0 or a 5, and the sum of its digits is divisible by 3.

We want to find a 5 digit flippy number, this can be: modeled with:

N = ababa

Where a and b are single digit numbers.

If we impose that N must end with a zero, then we will have:

N  = 0b0b0 = b0b0

This is a 4-digit number, so we can discard all the options that end with a zero.

Then the only option that we have are the numbers like:

B = 5b5b5

This number will be only divisible by 15 if:

5 + b + 5 + b + 5 = K is divisible by 3.

Then let's try find the possible values of b.

K = 3*5 + 2*b

K has two terms, the left term is already divisible by 3, then K will be divisible by 3 only if the other term is also divisible by 3.

Then we want 2*b to be divisible by 3.

And 2 is a prime number, then b must be divisible by 3, and we know that b is a number between {0,1 , 2, 3, 4, 5, 6, 7, 8 ,9}

The options are:

2*0 = 0 is divisible by 3.

2*3  = 6 is divisible by 3.

2*6 = 12 is divisible by 3

2*9 = 12 is divisible by 3.

Then we have four values of b such that:

N = 5b5b5 is divisible by 15.

Then the correct option is: B: 4

Monday's high temperature in Denver, Colorado was 25°F. The low temperature was
-4° F. What was the difference between the high and low temperatures?

Answers

Answer:

The difference between the high and low temperatures is 29°F

Step-by-step explanation:

Subtraction

The high temperature in Denver, Colorado was 25°F on Monday.

The low temperature was -4°F in the same place.

We are required to find the difference between the high and low temperatures.

We need to subtract 25 and -4:

Difference = 25°F - (-4°F)

Note we change the sign of the subtraction multiplying (-1) by (-1);

Difference = 25°F + 4°F

Difference = 29°F

The difference between the high and low temperatures is 29°F

ANSWER PLSSS THANK YOUUUUU

Answers

Answer:

As a fraction: 81/100 (cannot be simplified) Decimal: 0.81 and a percent 81%

Step-by-step explanation:

Count the blocks and convert (you can also use an array.) Hope this helps you!

Answer:

Fraction: 81/100

Decimal: 0.81

Percent: 81%

Step-by-step explanation:

The box is a 10x10 so it has 100 squares inside.

There are 81 squares shaded so the fraction would be 81/100

To get the decimal just divide 81 by one hundred so the decimal is .81

As a percent is would be 81%

Hope this helps ya!!

Really stupid question, but how do you add a comment lol. There’s no enter button or anything (I’m on an iPad) if that helps.

Answers

Answer:

You just do

Step-by-step explanation:

Answer:

just click the thing that says "Ask blah blah about this question..."

Step-by-step explanation:

For a craft each student will need five rubber bands.There.There are eight students.Rubber bands come in bags of nine. How many will be needed?How many rubber bands will be left over?

Answers

Answer:

40 rubber bands are needed

5 rubber bands will be left from 5 bags of of rubber band

Step-by-step explanation:

Each student will need five rubber bands.

There are eight students

Total rubber bands needed = rubber bands per student × number of students

= 5 × 8

= 40

Total rubber bands needed = 40

Rubber bands come in bags of nine.

Number of bags needed = Total rubber bands needed / number of rubber bands in each bag

= 40 / 9

= 4.44 bags

It is impossible to get decimal number of rubber bands bag, so, the next whole number after 4 is 5

5 rubber bands bags will be bought which = 5 × 9

= 45 rubber bands

Only 40 rubber bands are needed

Left over rubber bands = 45 - 40

= 5 rubber bands

HELPPPPPPPPPPPP
i give brainliest!

Answers

Answer:

C

Step-by-step explanation:

The scuba diver started at -55 feet as it says below the surface then went up 20 feet so the equation would be -55+20=-35

the answer is C hope this helps :)

What’s the algebraic expressions of (7+10x)+3

Answers

=10x+10 hope this helps

¿Cuáles son los términos de la expresión
algebraica 5p + 4?
A: 4
B: 5p
C: +

Answers

Answer:

A, B

Step-by-step explanation:

Los términos están separados por +, -, / o x.

Evaluate the expression. 2. (3^6.3^-5)​

Answers

Answer:

1.00000

Step-by-step explanation:

Well I'm not sure what that upside down V is

The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.

(a) What is the distance from the sun to Venus written in scientific notation?

• [Please make sure to include your units]

(b) What is the diameter of a human hair written in scientific notation?

• [Please make sure to include your units]

(c) In comparing the measurements in Parts (a) and (b), what else must be done before a comparison is made?

Answers

Step-by-step explanation:

It is given that,

The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.

(a) In scientifc notation, the distance from the Sun to Venus will be :

There are 8 numbers before 1. It means

d = 1.08 × 10⁸ km

(b) In scientific notation, the diameter of a human hair will be :

There are 3 numbers after decimal. It means

D = 2.5× 10⁻³ mm

(c) Before comparing two measurements, both values must be converted into the same units.

Since, 1 mm = 10⁻⁶ km

D = 2.5× 10⁻³ × 10⁻⁶ km

= 2.5 × 10⁻⁹ km

For comparison divide the distance from the Sun to Venus and the diameter of a human hair.

[tex]C=\dfrac{1.08\times 10^8\ km}{2.5\times 10^{-9}\ km}\\\\=4.32\times 10^{16}[/tex]

Hence, this is the required solution.

If an item has an original price of $80 and has been discounted 20%, what is the sale price?

Answers

Answer:

$64

Step-by-step explanation:

Since 20% is 0.20 and a whole is 1.00, to discount the price, we have to subtract the whole value by the discount value 1.00-0.20=0.80

Then we have to find 80% of 80

80%=0.80

0.80*80=64

The sale price is $64

hi can somebody answer this rlly quickly

Answers

Answer:

11

Step-by-step explanation:

72/9=8 so 99/9=11

X+y=8
Y=3x

Solve with substitution

Correct answer gets Brainliest!!

Answers

Answer:

x=2, y = 6

Step-by-step explanation:

We see that y = 3x so we can substitute the y in x + y = 8.

x + 3x = 8.

Combine like numbers:

4x = 8.

Divide both sides by 4.

x = 2

Now plug in x to find y

2 + y = 8

Subtract 2 from both sides.

y = 6

Sam scored 10 points. This was double the number of points he scored in the first game. Which equation can be used to find, x, the number of points Sam scored in the first game?
a.x−2=10
b.2x = 10
c.x + 2 = 10
d.x/2=10

Answers

Answer:

b is the answer of this puestion

Help please I will give Brainliest!!!!
Josiah invested $96,000 in an account paying an interest rate of 3.5% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $153,400?

Answers

The number of years it will take for the value of the money in the account to reach $153,400 would be = 17 years.

What is simple interest?

Simple interest is defined as the amount of money that is received as an extra cash based on an investment made in an account.

The principal amount of money invested= $96,000

The rate of interest = 3.5%

The total interest on the principal amount = $153,400- $96,000 = $57,400

The time for this investment= ?

Using the formula for simple interest= p×T×R/100

57,400 = 96,000 ×T× 3.5 /100

Make T the subject of formula;

T = 57,400×100/96,000×3.5

T = 5740000/336000

T = 17 years (approximately)

Learn more about simple interest here:

https://brainly.com/question/25793394

#SPJ1

A loon is a bird that dives in the ocean for its food. It can dive to a depth of 12ft in 8 seconds. How many feet does it dive per second? (Write your answer as a decimal) *

Answers

Answer: 1.5ft/seconds

Step-by-step explanation:

From the question, we are informed that a loon is a bird that dives in the ocean for its food and that it can dive to a depth of 12ft in 8 seconds.

The amount of feet it dive per second will be gotten by dividing 12ft by 8 seconds. This will be:

= 12ft / 8sec

= 1.5ft/seconds

10 divided by 2 would be 5 because it pretty much splits it in equal parts like this if you do each friend get 1 cup of water there is 9 liters so what you do it give each 3 liters of water and that's 9 divided by 3 so you split 3 parts into 9

Answers

Answer:

First of how many friends are there and if each freind get one why are you giving them three and did you count yourself as well

Step-by-step explanation:

How many times bigger is 2 1/4 than 2

Answers

Answer:

1 1/8

Step-by-step explanation:

Divide 2 1/4 by 2.

PLS HELP ME ASAP!!!!

In 2 hours, a canoeist can go 40 km downstream but only 6 km upstream. Find the rate of the current and the canoeist.​

Answers

Answer:

20 Km per hour.

What does (f+g)x mean?

Answers

Answer:

(f + g)(x) means f(x) + g(x)

General Formulas and Concepts:

Alg I

Function NotationCombining like terms

Alg II

Composite Functions

Step-by-step explanation:

(f + g)(x) is the number form of "f plus g of x", meaning that we add the functions f and g together respect to x.

Another way to write (f + g)(x) is f(x) + g(x), which is the number form of "f of x plus g of x", still meaning that we are adding the 2 functions together.

Find the slope of the line that passes through the points (5,9) and (2,7).

Answers

2/3 is the correct answer for a line passing through the stated coordinates:)

Answer:

-2/3

Step-by-step explanation:

y2-y1 over x2-x1

Other Questions
What is the slope of x=3y+9 and why? What is 70% of 900Pls answer quickly In a SWOT analysis, what are strengths? Read the passage then answer the question below:The OrnithopterMany people know Leonardo da Vinci today as an artist, and it is true that he was indeed a great painter and sculptor, but he was also an inventor and one of the first individuals in recorded history to draft detailed plans for a flying machine.In order to make a living, Leonardo often depended upon wealthy individuals who would commission work from him. That means they would hire him and pay him to create specific work they wanted. In 1482, when he was 30 years old, Leonardo heard of an opportunity to work for Ludovico Sforza, the Duke of Milan. The duke, however, did not want a painter; he wanted a military engineer to help him defend the city against its enemies. This was an excellent opportunity that would pay Leonardo well, but Leonardo was a peaceful man. He considered war to be a beastly madness. He preferred to make things of beauty.Leonardo made the decision that he could tolerate making weapons if the resources the duke could provide would also allow him to create things he loved. He sent a letter to the duke detailing his skills in designing and building weapons. I will assemble catapults, mangonels, trebuchets and other instruments of wonderful efficiencyI will make an infinite number of items for attack and defense, he wrote.Leonardos letter convinced the duke of his talents, and he got the job. He set about designing the weapons that the duke desired. But Leonardo was infinitely creative, always thinking of new things, new ideashe could not be limited to weapons alone. One idea that he had not mentioned in his application was the ornithopter. It was not a weapon of war, and it was not something that the duke had asked for, but Leonardo went ahead and designed it anyway.Leonardo was fascinated by the idea of flight. The word ornithopter comes from two words meaning bird and wings. And on first inspection, his plans resembled a birds wings attached to a human beings arms. He concluded that a human beings arms were neither strong enough nor light enough to stay in the air for long. So, his design included sets of foot pedals and levers that were operated with the hands. He created detailed plans and presented them to the duke, uncertain of how the duke would react to a design for which he didnt ask.As it turned out, the duke was very impressed with the ornithopter, but it wasnt Leonardos innovation that excited him. He immediately thought of the ways this machine could be used in war. If a spy could fly over the enemys camp, imagine what information he could gather! This was not what Leonardo had intended for his beautiful flying machine.But how Leonardo felt about war turned out not to matter in the end. 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In view of the process of globalization this ethic of humanity has been termed by the famous Roman Catholic theologian and philosopher Professor Hans Kng as the GLOBAL ETHIC.Although the concept of a GLOBAL ETHIC was at first introduced by Professor Hans Kng in 1989 it is, in his own words, not a new invention but only a new discovery of common principles which are as old as humankind.There can be no doubt that a globalizing world with its tremendous social, ecological and moral problems needs a globalization of moral values and ethical standards, in short: a GLOBAL ETHIC, in order to survive as a place where our grandchildren and great-grandchildren can live a decent life.CAN ANY ONE HELP ME GET 5 BRAINIEST Four substances are tested for different properties. 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