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

Please help solve and create the equation.

Answers

Answer: 1/3

Step-by-step explanation:

1/3

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

Answers

(3+x)/y . Since denominator is same, numerator simply gets added

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.

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

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:

What is 21596 rounded to the nearest Highest Place

Answers

Answer:

if i'm correct 20,000

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)

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

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

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

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.

[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:

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

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.

Same value as 40% of 84

Answers

Answer:

33.6

you are welcome :)

Step-by-step explanation:

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.

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:

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

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

Answers

Answer:

Saya tidak yakin bagaimana menjawabnya maaf

Step-by-step explanation:

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

Answers

nrnrjfhjcudiidjfbhcucuujbrbrbfdhhdhdhhfhhfhfhfufufiidjrj

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

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


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

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:

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

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?

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

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

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