Mathematics High School

1. The diagram shows a triangle OAB and point M is a point on AB. Rajah menunjukkan segi tiga OAB dan titik M ialah satu titik pada AB. A 5 5a M 0 B ub Given OA= 5a , OB = 4b and 2 AM =3MB, find vector Diberi OA=5a, OB = 4b dan 2 AM =3MB, cari vektor (a) AB [4b – 5a (b) OM 12 2a +​

1. The Diagram Shows A Triangle OAB And Point M Is A Point On AB. Rajah Menunjukkan Segi Tiga OAB Dan

Answers

Answer 1

we have to find the value of the x°=<GHC

In the triangle BDH,

<D=31°

<B=47°

we know that,

Sum of three angle of a triangle is 180°

According to the question,

<D+<B+<BHD=180°

31°+47°+<BHD=180°

78°+<BHD=180°

<BHD=180°-78°

<BHD=102°

But,

<GHC and <BHD forms a straight line

so,

<GHC+<BHD=180°

102°+x=180°

x=180°-102°

x=78°

Therefore,

The value of x is 78°

Related Questions

write and expression for the perimeter of a rectangle with length L and width 6

Answers

Answer:

P = 2(L + 6)

Step-by-step explanation:

The perimeter (P) of a rectangle is = 2(Length + Width)

Length = L

Width = 6

.: P = 2(L + 6)

2L + 2(6)=P
The L gets multiplied by 2 because there are two L in a rectangle and 2 times 6 because there are two widths

Which values for h and k are used to write the function f(x) = x2 + 12x + 6 in vertex form?
h=6, k=36
h=-6, k=-36
h=6, k=30
hs-6, k=-30

Someone please help me with this I can’t fail this test !

Answers

i gotchu bro you ain’t getting this wrong

ITS D!!! h = -6 k = -30

The equation of a vertical parabola in vertex form is equal to

f(x)= a(xh)² + k

where

a is a coefficient

(h,k) is the vertex

we have

f)x) = x² + 12x + 6

Convert to vertex form

Complete the square

f)x) 6= x² + 12x

f)x) - 6+36= (x² + 12x +36)

f)x)+ 30 = (x² + 12x +36) -

f)x)+30= (x+6)²

f)x) = (x+6)² – 30. -----> equation in vertex form

therefore

The vertex is the point (-6,-30)

h=-6, k=-30

The equation of the line with slope −4 that goes through the point (8,−3)
can be written in the form y=mx+b
where m is:
and where b is:

Answers

Answer:

y = -4x + 29

Step-by-step explanation:

-3 = -4(8) + b

-3 = -32+b

29=b

The equation whose slope is -4 and passes through (8,-3) is y=-4x+29 where slope is -4.

What is equation?

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

How to form equation?

We have been given slope of line being -4 and point through which it passes (8,-3) and we have to find the equation of line.

The equation from two points can be calculated through the following formula:

y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex]) and slope is m.

Putting the values of points and slope in the formula given above.

y-(-3)=-4(x-8)

y+3=-4(x-8)

y+3=-4x+32

y=-4x+32-3

y=-4x+29

Hence the equation is y=-4x+29 where slope is -4.

Learn more about equation at https://brainly.com/question/2972832

#SPJ2

Estimate the sum of 7.2 + 7.3 + 6.9 + 6.8.

Answers

Answer:

28

Step-by-step explanation:

7.2 is rounded down to 7, 7.3 is rounded down to 7, 6.9 is rounded up to 7, and 6.8 is rounded up to 7. Then you can add 7+7+7+7 to get an estimation of 28.

what is constant in graphing ?

Answers

Answer:

the constant is the number without an x attaches to it.

Ex:

y = 2x + 9

9 is a constant because it is not attached to any x

y = x^3 + 2x^2 + 10x + 19

19 is a constant because it is not attached to any x

F(x) = 6x+2, find f (x+3)

Answers

Answer:

6x+20

Step-by-step explanation:

F(x) = 6x+2

f(x+3) means replace x with x+3

F(x+3) = 6(x+3)+2

         = 6x+18+2

         = 6x+20

Answer:

A; F(x+3) = 6x^2 + 20x + 6

Step-by-step explanation:

To find it you just would multiply F(x) onto the other side. So it would look like this:

           F(x+3) = 6x + 2 (x+3)            

          F(x+3) = 6x^2 + 2x + 18x + 6            *combine like terms getting you

           F(x+3) = 6x^2 + 20x + 6    

Hope this helped!!

What is the value of expression below when z=5? 5z−4

Answers

Answer:

21

Step-by-step explanation:

5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4

Answer:

21

Step-by-step explanation:

5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4

What is the probability of rolling 2 standard dice which sum to 9?

Answers

Answer: 1/9

Explanation: Tbh I can’t explain how my brain just clicks sometimes

I have 15.00 and I want to go to the movies tickets cost 12.35 how much will I get back plz help

Answers

Answer:

2.65

Step-by-step explanation:

15.00 - 12.35 = 2.65

...I don't really know how do explain it but yeah thats the answer.

Hope it helps c:

Make x the subject of the formula y=4x²-2​

Answers

Step-by-step explanation:

y=4x²-2y+2=4x²√(y+2)/4=xx=√(y+2)/4

hope it helps.stay safe healthy and happy....

A high school football team has raised $1000 to spend on team jackets. The cost is $50 per jacket. Which equation below can be used to solve for the number of jackets the team can buy? Explain.
A. 50 = 1000n
B. 50n = 1000
C. 1000n = 50n

Answers

B. 50n =1000
n is for the number of jackets so n times 50 per jacket equals the $1000 the team raised

HELP ME PLEASE
23. Two swimmers are training over a two-week period to increase the number of laps each can do consecutively. Swimmer A can do 14 laps to start, and increase her total by 3 laps each day. Swimmer B is charting her progress in the table below. Compare the initial values for each. ​

Answers

Answer:

Answer is A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer is C because if swimmer A does 14 laps to start an 3 laps every day after that and on the chart swimmer B does 11 laps to start and 2 laps every day after that you would compare.

on day 3 swimmer B has 17 (shown on chart)

on day 3 swimmer A has 23 (14, 17, 20, 23)

if you would want it to complicate it 14:3 and 11:2

14 ÷ 14 is 1

3 ÷ 14 is .214

11 ÷ 11 is 1

2 ÷ 11 is .181

Factor of 3x^3-x^2-20x-12

Answers

Answer:

(−3)(+2)(3+2)

Step-by-step explanation:

Factor by grouping

Factor by grouping

Factor by grouping

Factor by grouping

(−3)(32+8+4)

Factor by grouping

Factor by grouping

Factor by grouping

Factor by grouping

(−3)(+2)(3+2)

FOR EASY BRAINLIEST ANSWER AND EXPLAIN!! ASAP

QUESTION: A 30minute radio program, the entertainment portion lasts 2 minutes longer than 3 times the duration of the commercial portion. How much is devoted to commercials during the 30 minutes

Answers

Answer: 9 1/3 minutes
First create an equation with the given information; with x being the commercial time, 30=3x+2, now solve for x. First subtract 2 from each side and get 28=3x and then divide each side by 3 to get 9 and 1/3 minutes.

Which of the following is not a real number?

Answers

Answer:

D

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Shannon buys a table that was priced $700. There is a 8% sales tax in her state. Fortunately, it was 60% off! So she only paid

Answers

Answer:

Total paid: 302.40

Step-by-step explanation:

Price x percent off = amount off

700 x .60 (60%) = 420 amount off

price - amount off = sales price

700 - 420 = 280 sales price

sales price x sales tax rate = sales tax

280 x .08 (8%) = 22.40 sales tax

sales price + sales tax = total paid

280 + 22.40 = 302.40 total paid

Someone, please help me on this one

Answers

Answer:

D

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 4x² + 7x - 3 + 6x³ - 7x² - 5 ← collect like terms

= 6x³ - 3x² + 7x - 8

Answer:

D. (f + g )( x ) = 6x³ - 3x² + 7x - 8

Step-by-step explanation:

Given :-

f ( x ) = 4x² + 7x - 3.g ( x ) = 6x³ - 7x² - 5.

To Find :-

( f + g ) ( x ).

Solution :-

(f + g )( x ) = 4x² + 7x - 3 + 6x³ - 7x² - 5.

Arranging like terms.

(f + g )( x ) = 6x³ - 7x² + 4x² + 7x -5 - 3

Combine like terms.

(f + g )( x ) = 6x³ - 3x² + 7x - 8

what is 3 over 4 divided by 1 over 6

Answers

The answer is eighteen
3 over 4 of 6 over 1
18 divided by 4
4.5

PLEASE HELPPPPPP!! I need to find x!!!!

Answers

Here

[tex]\\ \sf\longmapsto \frac{7}{x} = \frac{15}{10} \\ \\ \sf\longmapsto 7 \times 10 = 15x \\ \\ \sf\longmapsto 15x = 70 \\ \\ \sf\longmapsto x = \frac{70}{15} \\ \\ \sf\longmapsto \boxed{ \sf x = 4.6cm}[/tex]

Answer:

i can help you i know this answer

if sectheta=13/12 and 270°<theta<360°, then tantheta=​

Answers

Answer:

this should be 450° hahah sorry if I am wrong I don't know!

Wendy brought 4 cakes and 2 pies for $20. The cost of a cake is twice the cost of 1 pie. A) What was the cost of one cake b)What was the cost of 1 pie?

Answers

Answer:

a. The cost of one cake is $4.

b. The cost of one pie is $2.

Step-by-step explanation:

Let the cost of cake be C.Let the cost of pie be P

C = 2P  .....equation 1

4C + 2P = 20  .....equation 2

Substituting eqn 1 into eqn 2, we have;

4(2P) + 2P = 20

8P + 2P = 20

10P = 20

P = 20/10

Pie, P = $2

Next, we would determine the cost of a cake;

From equation 1;

C = 2P

Substituting the value of "P" we have;

C = 2 * 2

Cake, C = $4

Therefore, we would have the following answers;

a. The cost of one cake is $4.

b. The cost of one pie is $2.

Check:

From equation 2;

4C + 2P = 20

4(4) + 2(2) = 20

16 + 4 = 20

20 = 20

Help Please
Find The Surface Area Of The Prism

Answers

Answer:

360 cm^2

Step-by-step explanation:

Find the area of each face of the triangular prism.

Imagine the triangular prism as its net, it is composed with 2 triangular faces (these are tye bases of the prism) and 3 rectangular faces.

Areas of the 2 triangular bases (they are similar triangles):

1/2 x 8 cm x 6 cm = 24 cm^2

24 x 2 = 48 cm^2

Area of the rectangular face:

8 x 13 = 104 cm^2

Area of another rectangular face:

6 cm x 13 cm = 78 cm^2

Area of another rectangular face:

13 cm x 10 cm = 130 cm^2

Add up all the areas of all faces:

48 + 104 + 78 + 130 = 360

So the SA is 360 cm^2

What is the measure of m

Answers

The answer is 9 bc it must be longer than the base of the trianngle

Determine what type of model best fits the given situation:
The temperature of a cup of coffee decreases by 5 F every 20 minutes.
A. none of these
B. quadratic
C. exponential
D. linear

Answers

Answer:

T = -t / 4 + T0   where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature

This is a linear equation in T and t

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

The given situation is linear equation in T and t. so option D is correct option.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given situation:

The temperature of a cup of coffee decreases by 5 F every 20 minutes.

T = -t / 4 + T0  

where t is the temperature in minutes elapsed.

T is the final temperature.

T0 is the initial temperature.

We need to find the type of model best fits the given situation.

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

Therefore, The given situation is linear equation in T and t. so option D is correct option.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ5

Sarah earned 45 1/2 dollars in 5 3/4 minutes. What is the unit rate in dollars per
minute?

Answers

Answer:

7 21/23 dollars per minute

Step-by-step explanation:

Total amount Sarah earns = 45 1/2 dollars

Time taken to earn = 5 3/4 minutes

What is the unit rate in dollars per

minute?

unit rate in dollars per

minute = Total amount Sarah earns / Time taken to earn

= 45 1/2 ÷ 5 3/4

= 91/2 ÷ 23/4

= 91/2 × 4/23

= (91 * 4) / (2 * 23)

= 364/46

= 7 42/46

= 7 21/23 dollars per minute

unit rate in dollars per

minute = 7 21/23 dollars per minute

True or false..?

In a parallelogram, consecutive angles are supplementary.

Answers

Answer:

True

Step-by-step explanation:

Both pairs of opposite angles are congruent. parallelogram, rectangle, rhombus, square. Both pairs of opposite sides are congruent. parallelogram, rectangle, rhombus, square. All consecutive angles are supplementary. parallelogram, rectangle, rhombus, square. diagonals bisect each other. parallelogram, rectangle, rhombus, square.

Answer:

true

Step-by-step explanation:

any 2 consecutive angles are supplamentary

Choose the correct sum of the polynomials (6x3 − 8x − 5) + (3x3 + 6x + 2).

Answers

Answer:

9x³ - 2x - 3

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

(6x³ - 8x - 5) + (3x³ + 6x + 2)

Step 2: Simplify

Combine like terms (x³):                                                                                   9x³ - 8x - 5 + 6x + 2Combine like terms (x):                                                                                    9x³ - 2x - 5 + 2Combine like terms:                                                                                         9x³ - 2x - 3

What is the equation of the graph ? ILL pay

Answers

Answer:

Step-by-step explanation:

You have it right it is 6^x -3

You have the right idea, but you don't need to type in the "y=" portion since that is already taken care of. So you just need to type in -3 + 6^x

ASAP please help meeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

1/16 + 1/2 = 1/16 + 8/16 = 9/16

Suppose △ABC≅△LMN.

Which other congruency statements are correct?



Select each correct answer.


△BAC≅△MLN

△BCA≅△NML

△ACB≅△LNM

△CBA≅△M

Answers

if so then let's say just want to try am new MNL

your answer is triangle MLN.
Other Questions
Cho a thc f(x) = bit rng f(1)=f(-1); f(2)=f(-2).Chn cu ng :A. f ( x ) = f ( x) vi mi xB. f ( x ) = f ( x) vi mi xC. f ( x ) = 2 f ( x) vi mi xD. f ( x ) = 3 f ( x) vi mi x The cells lie odjacent to the sieve tubes When the drag force on an object falling through the air equals the force of gravity, the object has reachedterminal force.terminal acceleration,terminal illness.terminal velocity The underground man is a very straightforward and easy-to-understand narrator. True False 2. The underground man is sick and will leave St. Petersburg because his doctor told him it is bad for his health. True False 3. The underground man makes at least one reference to a concept from mathematics. True False 4. The underground man compares human beings to organ stops and piano keys. True False 5. The narrator and Eliza find happiness and a life together in the end. True False 1. A helicopter is at a position from two VORS (VHF OmnidirectionalRadio Range, an aircraft navigation system operating in the VHF band -not covered in chapter) as in the diagram shown below. Given the anglesshown, find the third angle.Helicopter74.066.0VORVOR Hello!! Please help me ASAPUsing special right triangles show and explain all work for each problem. Each solution and work should demonstrate your understanding of Special Right Triangles (30-60-90 and 45-45-90)Find the missing side length and angle of this triangle. I've attached the triangle. Find the area of the figure. (Sides meet at right angles.) State the equation, in slope-intercept form, of each of the following graphs of linear relations.Explain how the equation was determined. Find an upper bound for E(h) the error of the machine approximation of the two-point forward difference formula for the first derivative and then find the h corresponding to the minimum of E(h).The two-point forward difference formula for f'(x) is:_________ Importance of skilled human resource ? An experimental herbicide kills plants by blocking the ATP synthase in thylakoids. This is most likely to: Group of answer choices Decrease the pumping of NADPH across the thylakoid membrane Increase the pH of the chloroplast stroma Decrease of flow of electrons from photosystem II to photosystem I Decrease the concentration of ATP in the thylakoid space Please Help!! Whoever helps and gets it correct gets Brainliest and 5 star rating!! plz ans fastly please Which of the following best describes reverberation?A.The wave fronts become mixed and broken up due to contact with a rough orirregular surface.B. A change in the sound wave velocity causes the wave to bend in a differentdirection.C. A fraction of the sound waves are absorbed by an object and converted to heatenergy.D. A single sound undergoes several reflections due to multiple reflecting surfaces. I'LL GIVE BRAINLIEST !!! FASTERplease explain how do you get the answer ! Solve the inequality: (x 3)12+ 2 4Question 14 options:A) x 35B) x 13C) x 11D) x 7 secA-tanA=(cosA/2-sinA/2)/(cosA/2+sinA/2) Why doesnt the KHP concentration have to be exactly 0.100M? Explain using complete sentences. Which hair is Is constitute about two third of the hair of women , one tenth of the hair of men, and all of the hair of children? Maria had to take an aptitude test before starting graduate school. In this scenario, the criterion variable will be Maria's score on the aptitude test. appearance and personality. expected ability to get along with her fellow students. expected performance as a student in graduate school.