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

What is 21596 rounded to the nearest Highest Place

Answers

Answer:

if i'm correct 20,000

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

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

Same value as 40% of 84

Answers

Answer:

33.6

you are welcome :)

Step-by-step explanation:

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:

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?

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.

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)

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

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)

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


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

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

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:

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

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

Answers

nrnrjfhjcudiidjfbhcucuujbrbrbfdhhdhdhhfhhfhfhfufufiidjrj

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

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.

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

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

Answers

Answer:

Saya tidak yakin bagaimana menjawabnya maaf

Step-by-step explanation:

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.

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

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

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.

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:

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

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

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

Answers

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

[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:

Please help solve and create the equation.

Answers

Answer: 1/3

Step-by-step explanation:

1/3

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