The angles of a triangle are A, B and C.
Angle A is three times as big as angle B.
Angle B is half the size of angle C.
What is the size of angle A?

Answers

Answer 1

Answer:

∠A = 90°

Step-by-step explanation:

∠A = 3∠B

∠B = 1/2 × (∠C), this can also be written as ∠C = 2∠B

∠A + ∠B + ∠C = 180, because there are 180° inside a triangle

Write angle A, B and C in terms of angle B:

3 ∠B + ∠B + 2 ∠B = 180

Simplify:

6 ∠B = 180

∠B = 180 ÷ 6 = 30°

Work out angle A:

∠A = 3∠B = 3 × 30°

∠A = 90°


Related Questions

12x – 9y = 135. Fully simplify your answer.

Answers

Answer:

[tex]x=\frac{3\left(y+15\right)}{4}[/tex]

Step-by-step explanation:

Answer:

I belive the answer is 15! Brainest?

Step-by-step explanation:

Plz help me fast urgent thank you :) 20 points

Answers

Answer:

I believe it is A. Cooperative Federalism

Step-by-step explanation:

The other ones don't seem applicable to the diagram

Answer:

number 3 dual federalism

What is the distance between point C (3.5,6) and Point A (4.8, 6)​

Answers

Answer:

-1/3 and 0

Step-by-step explanation:

3.5-4.8=-1.3

6-6=0

I'm possibly wrong, but I need the points, and brainiest so, sorry if it is wrong.

Which linear inequality and its solution set is represented by the graph?

Answers

Answer: im pretty sure its y is more than or equal to 3x - 4

Step-by-step explanation:

What is the sum of the columns and rows?

Answers

Answer: 90

6+15+24=45

45*2=90 (the numbers are the same so just x2)

[tex]-3\frac{1}{3} * -3\frac{2}{5}[/tex]

Answers

Answer: 4

Step-by-step explanation:

First create numbers into an improper fraction.

-10/3 * (-3) 2/5

Then solve it using pemdas, resulting into the answer #4

Answer:

11 1/3

Step-by-step explanation:


PLSSSS HELP ILL GIVE THE BRAINLIEST ANSWER!!!!!

Answers

Answer:

y = [tex]\frac{3}{4}[/tex] x

Step-by-step explanation:

[tex]\frac{rise}{run}[/tex] , rise over run, the graph is positive

hitunglahluaslingkaranjikadiketahuihal-halberikutJari-jari 24cm ari-jari3,5cmdiameter56cmdiameter40cm

Answers

Answer:

Saya tidak yakin bagaimana menjawabnya maaf

Step-by-step explanation:

Product quantity is 560 products, average weight is 120g, knife level movement is 20g. Ask how many products in the range (100; 140g)

Answers

Answer:

Step-by-step explanation:

120 +-20 =(100 ; 140) -> X±k*σ= 100 =>k=1

According to Chebyshev, approximately 66.67% of the data lie within one standard deviation of the mean

->66.67%*560 = 373 products in (100;140)

Find the Area of the figure below, composed of an isosceles trapezoid and one semicircle. Rounded to the nearest tenths place


Answers

Step-by-step explanation:

the area =

[½(8+2)×4] + [½×3.14×1²]

= 20 + 1.57

= 21.57

= 21.6

Verify that the function [tex]g(x)=2x^3-3x+1[/tex] satisfies the three hypotheses of Rolle’s Theorem on the interval [tex][0,2][/tex].

Answers

Lets check if the three conditions hold.

1 : Continuity of g on the interval [0,2]

First, g(x) is a continuous function on R, as the sum of a cubic function wich is continuous on R, and a linear polynomial of the form ax + b which is also continuous on R. Finally g is also continuous on the interval [0,2]

2 : Differentiable on the same interval

Since the cubic function and the linear polynomial one are differentiable on R, g also is differentiable and particularly on the interval [0,2]

Also we have g'(x) = 2*3*x² - 3 = 6x² - 3

3 : Do we have g(0) = g(2) ?

Lets compute g(0) = 2*0^3 - 3*0 + 1 = 1

And g(2) = 2*2^3 - 3*2 + 1 = 2 * 8 - 6 + 1 = 16 - 6 + 1 = 11

Since g(0) ≠ g(2), Rolle's theorem is not applicable. Thus unfortunately, we can not conclude that there exist c ∈ (0,2) such that f'(c) = 0

Which angles are alternate interior angles?

Answers

Answer:

<SRU and <TUW

Step-by-step explanation:

They are on opposite ends which makes them alternate interior angles

what is 4.23x10-7 in standard form

Answers

Answer:

i think it is all ready in standard form

is the original number 0.000000423 if yes then it is in standard form

What is 21596 rounded to the nearest Highest Place

Answers

Answer:

if i'm correct 20,000

Step-by-step explanation:

Please help with this

Answers

Answer:

697.24 and 886.76

Step-by-step explanation:

792+.92*103= 886.76

792-.92*103= 697.24

if that's not correct try 697.76 and 886.25

Please help solve and create the equation.

Answers

Answer: 1/3

Step-by-step explanation:

1/3

t
Given the two points, write the
I equation in slope-intercept form.
(-5, 2) and (10, 8)

Answers

Answer:

y = 2/5x + 4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope:

( y1 - y2 ) / ( x1 - x2 )

( 2 - 8 ) / ( -5 - 10 )

( -6 ) / ( -15 )

2 / 5

Y-Intercept:

8 = 2/5(10) + b

8 = 4 + b

4 = b

Hopefully this helps!

Brainliest please?

Please help ME I NEED THIS also theres a photo

Answers

I would put d for the answer
The answer is x=cd-by/a

X-6y=6 find an ordered pair

Answers

Answer:

(6,0) or (0,-1)

Step-by-step explanation:

X-6y=6

X=6+6y

X/6=1+y

X/6-1=y

y=X/6-1

We'll use substitution to solve the ordered pair. Let's say Y = 0. We'll insert it back into our equation.

0=X/6-1

1=X/6

6=X

(6,0)

We can also start with X being = 0.

y=0/6 -1

y=-1

(0,-1)

I've attached what that would look like as a graph.

Group health insurance cost $8000, employer pays 80%, employee is paid biweekly. Find the amount deducted each pay for the group health insurance. *
1 point
$1,600
$61.54
$246.15

Answers

The answers is $1600, if this is a multiple choice question.

Madeline invest $3000. At the end of each year she receives 10% interest on the total balance for that what. What is of the third year? Please explain step by step or show work to be marked =]

Answers

3000 x 1.1 = 3300

3300 x 1.1 = 3630

3630 x 1.1 = 3993

She will have $3993.

If there are 2,000 females and 2,000 males enrolled at a college and four different students are randomly selected to receive a book scholarship, what is the probability that at least one is female?

Calculate the probability two ways: a) treat as dependent selections and b) treat as independent selections.

Answers

Answer:

500

Step-by-step explanation:

you just divide 2000 by 4 and get 500

after spending 5/6 of his January salary on paying school fees, Bikila was left with ksh 1500. how much money did he earn that month?​

Answers

Answer:

9000

Step-by-step explanation:

Show your solution follow the steps need an answer, please need an answer, please.​

Answers

Answer:

Step-by-step explanation:

27 ) 2x² - x - 1 = 0

2x² - 2x +  x  - 1 = 0

2x ( x - 1) + (x - 1) = 0

(x - 1)(2x + 1) = 0

x - 1 = 0  ; 2x + 1 = 0

x = 1   ;     2x = -1

                  x = -1/2

x = 1 ; -1/2

Option b

28) Area of a rectangle = 24 cm²

length * width = 24

(3x +2 )(2x -1) = 24

3x(2x -1) + 2(2x - 1) = 24

3x *2x - 3x *1 + 2*2x - 2*1 = 24

6x² -3x + 4x - 2= 24

6x² + x - 2 -24 = 0

6x² + x - 26 = 0

6x² -12x + 13x - 26 = 0

6x(x - 2) + 13(x - 2) = 0

(x -2)(6x +13) = 0

x = 2      {Ignore 6x + 13 as it gives negative value}

length = 3x + 2 = 3*2 + 2 = 6 + 2 = 8 cm

Width  = 2x - 1 = 2*2 - 1 = 4 - 1 = 3 cm

29) Area of square = 900 cm²

Side² = 900

(5x)² = 900

25x² = 900

x² = 900/25

x² = 36

x = √36 = √6*6

x = 6 cm

30) base = b cm

height = b + 2

Area of triangle =  24 cm²

[tex]\dfrac{1}{2}base*height = 24\\\\\dfrac{1}{2}*b*(b+2) = 24\\[/tex]

b(b + 2) = 24*2

b² + 2b = 48

b² + 2b - 48 = 0

b²  - 6b + 8b  - 48 = 0

b(b - 6) + 8(b - 6) = 0

(b - 6) (b + 8) = 0

b - 6 = 0    {Ignore b +8 = 0 as it gives negative value}

b = 6 cm

height = 6+ 2 = 8 cm

How many positive integers between 1000 and 9999 inclusive are divisible by 5 but not by 7?

Answers

nrnrjfhjcudiidjfbhcucuujbrbrbfdhhdhdhhfhhfhfhfufufiidjrj

Same value as 40% of 84

Answers

Answer:

33.6

you are welcome :)

Step-by-step explanation:

divide 7 by 12 to change 7/12 to a repeating decimal. 7/12 = 7 divided by 12 = ?​

Answers

Answer:

0.58333333....

can i have brainliest plz

Convert the following equation into Slope Intercept Form "y=mx+b".

y-7=1/3(x+15)

Answers

Answer:

 Slope = 0.667/2.000 = 0.333

 x-intercept = 36/-1 = -36.00000

 y-intercept = 36/3 = 12

Step-by-step explanation:

The answer is y= 1/3x+12

Solve.

34.2 = 13.4 + 9.6x

Enter your answer as a mixed number in simplest form in the box.

x =

Answers

34.2=13.4+9.6x
34.2-13.4=9.6x
20.8=9.6x
X=20.8/9.6
X=2.167

Urgent.. Please somebody help me with this it due by tomorrow

Answers

(3+x)/y . Since denominator is same, numerator simply gets added
Other Questions
16. A est is NOT showing ons of intoxication but a server who has been monitoring the rest is concerned about the number of drinks the quest has consumed. What should the server do in this situation?Continue serving the guest but stop when the guests hows signs of intoxicationContinue serve the guest because he or she can deally handle more alcohol than the average personstop sere koho to the puest because the post may have a tolerance to alcoholAsk the quest to leave the establishment immediately Peyton made a 40% on her Math test. If she got 12 questions correct, how many total questions were on the test? Whatia the slops of the lime through (-2,16) and (2,2) Breify explain the procedure of seaching materials in the library. Define these terms. I will mark Brainliest :) 1.) Contagious 2.) Non Contagious 3.) Vaccination4.) Immune 5.) Intravenous6.) Injection7.) Intramuscular 8.) Subcutaneous All these terms are for Animal science! Thanks in advance :) Which of the following is the correct interpretation of 2?In a statistics class, a teacher had the studentscomplete an activity in which they grabbed as manybite-sized pretzels as they could with their dominanthand, without crushing them. The teacher thenmeasured their handspan in centimeters. A regressionanalysis was completed and the value for was52.1%* About 52.1 percent of the variation in handspan isaccounted for by the linear relationship formed withthe number of bite-sized pretzels grabbed with thedominant hand.About 52.1 percent of the variation in number ofbite-sized pretzels grabbed with the dominant handis accounted for by the linear relationship formedwith handspanAbout 47.9 percent of the variation in handspan isaccounted for by the linear relationship formed withthe number of bite-sized pretzels grabbed with thedominant handAbout 72.1 percent of the variation in number ofbite-sized pretzels grabbed with the dominant handis accounted for by the linear relationship formedwith handspan how are relative time and absolute time applied to studying the geologic time scale? At which location does the South Pole receive 24 hours of daylight? Richard had 180 total minutes to dohomework, mow the grass, and walk the dog.He spent 3(x + 4) minutes mowing thegrass.He spent (x + 3) minutes working onhomeworkHe walked the dog for x minutes.How many minutes did Richard spendmowing the grass? Solve: (-5) + (-18) A -23B- 13C 13D 23 3Pls help, will give brianlist. Please hurry this is over due!If you are correct I will give you all the points I possibly can and brainiest! Which of these is NOT true about the outer core?A) It is mostly made up of iron and nickel.B) It is mostly liquid.C) It has a higher temperature than the inner core.D) Atoms within it form a powerful magnetic field. Please help me ASAP ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!! [tex]\sqrt4x -\sqrt9x\\\\[/tex] What make Eukaryotic cells different from Prokaryotic Cells?Group of answer choicesEukaryotic cells have membrane bound organelles and more complex structureEukaryotic cells do not have a nucleus and are unicellularEukaryotic cells all have cell walls and include bacteria and plantsEukaryotic cells are mainly bacteria I made my first handmade sandwich.....Change it into passive voice.... Drag each tile to the correct box. How should the sentences be organized to best summarize the passage Why does Justin feel about the art show? Alice is inventorying two different warehouses. In the first warehouse, she determines that there are 4.6X10 to the third power of boxes. In the second warehouse, she determines that there are 5X10 to the fourth power of boxes. What is the combined number of boxes in both warehouses? PLEASE HELP!!!!