In this question, all lengths are in centimetres.
Given
AB: AC = 1:2
AB= 3x-4
AC= 2x + 12
show that
AC: BC = 2:3
BС= 7X-2

In This Question, All Lengths Are In Centimetres.GivenAB: AC = 1:2AB= 3x-4AC= 2x + 12show ThatAC: BC

Answers

Answer 1

Answer:

Step-by-step explanation:

AB/AC =1/2

(3x-4)/(2x+12)=1/2

2(3x-4) = 1(2x+12)

6x-8=2x+12

4x=20

X=5

AC/BC =3x-4/7x-2=22/33=2/3

AB/AC=3x-4/7x-2=22/33=2/3

AB/AC=3x-4/2x+12

6x-8=2x+12

You would get 4/5 still trying to work out the last mark

Answer 2

Step-by-step explanation:

First find x:

AB:AC=1:2

2(3x-4)=2x+12

6x-8=2x+12

4x-8=12

4x=20

x=5

Substitute:

AC=2x+12

=(2x5)+12

=10+12

=22

BC=7x-2

=(7x5)-2

=35-2

=33

22/33=2/3

Therefore AC:BC = 2:3


Related Questions


Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).
A) y =
1
3
x + 1
B) y = –
1
3
x + 1
C) y = 3x – 5
D) y = –3x – 5

Answers

Answer:

A. y=1/3x+1

Step-by-step explanation:

When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:

3=1/3*6+b

3=2+b

1=b

now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1

Please may someone help me with this question thank you

Answers

Answer:

C. [tex]\frac{12}{7}[/tex]

Step-by-step explanation:

To find the slope when you know two points, use this formula:

M = y₂ - y₁ ÷ x₂ - x₁

M = (4 - (-8)) ÷ (0 - (-7))

M = 12 ÷ 7

M = [tex]\frac{12}{7}[/tex]

Hope that helps.

17. Ms Steele is building a circular fountain, on the diagram 2 centimeters is equal to 5 feet. If
the diameter is 12 centimeters. What is the area of the actual fountain? Do you have to
convert first or last

Answers

Answer:

George Washingmachine

Step-by-step explanation:

Answer:

[tex]706.858[/tex] [tex]ft^{2}[/tex] ([tex]3[/tex] d.p)

Step-by-step explanation:

Convert first:

[tex]12 \div 2 = 6[/tex]

[tex]6 \times 5 = 30[/tex] [tex]ft[/tex]

Area of circle = [tex]\pi r^{2}[/tex]

[tex]= \pi (30\times \frac{1}{2})^{2}[/tex]

[tex]= 225\pi[/tex]

[tex]= 706.858[/tex] [tex]ft^{2}[/tex]([tex]3[/tex] d.p)

Hope this helps :)

What is the value of -3+(-4+7)(2)?
O-28
O-3
O3
O 15

Answers

Answer:

Step-by-step explanation:

Option C 3 is the correct answer

Answer:

3

Step-by-step explanation:

1. Simplify -4 + 7 to 3.

-3 + 3 × 2

2.  Simplify 3 × 2 to 6.

−3 + 6

3. Simplify.

3

A card is drawn from an ordinary deck of cards. What is the probability that the card is a king given that the card is red?

A. P(K|R) = 0.8
B. P(K|R) = 0.2
C. P(K|R) = 0.92
D. P(K|R) = 0.08

Answers

Answer:

d. 0.08

Step-by-step explanation:

52 cards in a deck of cards. 26 are red. there are 2 red kings. 2/26= 0.076 which rounds up to 0.08

Half the cards (26) are red

Then there are 2 red kings out of the 26.

Probability of picking a red king out of the red cards is 2/26 = 1/13 = 0.076

Round to 0.08

The answer is D.

Could you guys help me solve 9 I would appreciate it :)

Answers

Answer:

Step-by-step explanation:

12<18/3(-2)+12  turns into 12<18/-6+12

False

What is the fractional form for point A? Options: -3/4 -1/4 1/4 7/8
What is the approximate decimal form for point B? Options: 1.2 1.16 -1.16 0.857

Answers

Answer: A -3/4

B 1.6

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

just did the quizz good luck <3

10. A ladder 6.5 metres long leans against a wall,
touching a window sill, and makes an angle of
62° with the ground. Find the height of the
window sill above the ground. How far is the
foot of the ladder from the foot of the wall?​

Answers

Answer:

5.74m, 3.05m

Step-by-step explanation:

The set up is a right angled triangle.

Length of the ladder is the hypotenuse = 6.5m

Angle of elevation = 62°

Required

Height of the window (opposite)

Using SOH CAH TOA trigonometry identity

Sin theta = opp/hyp

Sin62 = opp/6.5

Opp = 6.5sin62

Opp = 5.74m

Hence the height of the window is 5.74m

The distance of the ladder from the foot of the wall is the adjacent

Cos 62 = adj/6.5

adj = 6.5cos62

adj = 3.05m

Hence the distance of the ladder from the foot of the wall is 3.05m

Drag the correct word into the space provided in order to complete the sentence.
If an outlier is included in a data set the....... is least affected

mean , median, range or standard deviation

Answers

Answer:

mean for the the second median for the 1st one

Step-by-step explanation:

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP

Answers

I think 45 really sorry if I’m wrong

last picture of my last question​

Answers

Answer:

Step-by-step explanation:

Done

I don’t understand sorry

WILL MARK BRAINLIEST
One number is 0.9 of another number. Their sum is 0.038. Find each number.

Answers

Answer: .018 and .02

Step-by-step explanation:

X=.9Y

X+Y=.038

X=.9Y

X=-Y+.038

-Y+.038=.9Y

-1.9Y=-.038

Y=.02

X+.02=.038

X=.018

Helpppppppppppppphxhxhxhxhx

Answers

Answer:

C  [tex]\frac{48}{70}[/tex]

Step-by-step explanation:

Option C - [tex]\frac{48}{70}[/tex] is incorrect because when multiplying the numerator and denominator of the fraction [tex]\frac{7}{10}[/tex] by 7, you’re suppose to get [tex]\frac{49}{70}[/tex].

PLEASE HELP ASAP I AM BEGGING YOU I NEED THIS ANSWER NOW!!!!!!!!!!!!!!!!!!!

please help me i don't understand this and i kind of need to for the test sooooo PLEASE HELP MEEEEE

Answers

Answer:

lol

Step-by-step explanation:

do you go to meridian

Answer:

i gotchuuu

Step-by-step explanation:

the answer is 118w of just 118

if u got What sApp I can explain it more on there if u want but that's the only thing I have so u might wanna get it if u want me to help u

Please help Algebra 1

Answers

Answer:

D

Step-by-step explanation:

HELP ASAP!!!
What is the range of the relation shown below?
{(-4, 1), (-2, 0), (8, -1)}

Answers

(1,0,-1)
Range is the y function

I need help ASAP plz

Answers

Answer:

With what?

Step-by-step explanation:

Answer:

cant help uoi b1t ch

Step-by-step explanation:

John is about to take a 75-item multiple-choice test. If he finishes an average
of 5 items every 3 minutes, how long will it take him to complete the test?
1. 15 minutes
2. 25 minutes
3. 45 minutes
4. 60 minutes

Answers

Answer:

It will take John 45 minutes (option 3 or C) to finish the test.

Step-by-step explanation:

We know that John is about to take a 75-item quiz. If he finishes 5 items every 3 minutes, then we can divide 75 by 5.

75 ÷ 5 = 15

Now, let's multiply 15 minutes by 3 minutes to get the total amount of minutes.

15 x 3 = 45 minutes

Therefore, it will take John C. 45 minutes to finish the test.

Please help! Will mark brainiest what’s the domain of H?

Answers

Answer:

Domain: (-5,5)

Step-by-step explanation:

-5 < x < 5 (of course the inequality signs are equal to as well)

Please help me I’m begging you I’ll give brainless if your correct

Answers

Answer:

C

Step-by-step explanation:

24 + 2 = 26 ---> x = 26, y = 11

Answer:

the answer is c.) x = 26, y = 11

Explain why SSA is not a criterion for triangle congruence.

Answers

Answer:

i think you got it by now

Step-by-step explanation:

Answer:

Step-by-step explanation:

four shortcuts allow students to know two triangles must be congruent: SSS, SAS, ASA, and AAS. Knowing only side-side-angle (SSA) does not work because the unknown side could be located in two different places. ... Because there are 6 corresponding parts 3 angles and 3 sides, you don't need to know all of them.

Andy used 16 centimeters of tape to wrap 4 presents. How many presents did Andy wrap if he used 32 centimeters of tape?

Answers

Answer: 8

Step-by-step explanation:

16 centimeters of tape for 4 presents = 4 centimeters of tape per present.

Since he used 32 centimeters of tape, he wrapped a total of 8 presents.

Answer:

8

Step-by-step explanation:

Conclusions from data - confidence intervals and margins of error
right answers only!

Answers

Answer:

Is Something supposed to be attached?

Step-by-step explanation:

At the King School, 55% of the students take a bus to school. If 220 students take a bus to school, how many students are there in total?

Answers

Answer:

400 student

55/100 * x(unknown) = 220

55x/100 =220

CROSS MULTIPLY

55X = 22000

X = 22000/55

X = 400

The total number of students at the King School is 440.

Given that, at the King School, 55% of the students take a bus to school.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the total number of students be x

So, 55% of x =220

⇒ 55/10 ×x=220

⇒ 0.55x=220

⇒ x=220/0.55

⇒ x=440

Therefore, the total number of students at the King School is 440.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ5

If Jose has a car with a mass of 55,000 kg and it is acted upon with a force of 200 Newtons. What is the acceleration?

Answers

Answer:

275 m/s2

Step-by-step explanation:

I know because I had this question in a test and got it correct.

Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².

What is force?

A force is simply referred to as either a push or pull of an object resulting from the object's interaction with another object.

From Newton's Second Law, force is expressed as;

F = m × a

Where is mass of object and a is the acceleration

Given the data in the question;

Mass of the rock m = 55000kgForce F = 200N = 200kgm/s²Acceleration a = ?

We substitute our given values into the expression above.

200kgm/s² = 55000kg × a

a = 200kgm/s² ÷ 55000kg

F = 0.0036m/s²

Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².

Learn more about force here: brainly.com/question/27196358

#SPJ2

Henry rode his motorcycle from his house to a friend's house. After riding 10 miles, he realizes he has traveled 2/3 of the way. How far is Bob's house from his friend's house?
A. 20 miles
B. 15 miles
C. 12 miles
D. 25 miles​

Answers

Step-by-step explanation:

2/3 of diatance = 10 miles

3/3 of distance = 10 * (3/2) = 15 miles.

The distance between the houses is 15 miles. (B)

Let the total distance covered= x

Distance covered= 10 miles

According to the question,

2/3 of x= 10

=> 2/3 × x= 10

=> 2x/3= 10

=> 2x= 10× 3

=> 2x= 30

=> x= 30/2

=> x= 15

Bob's house is 15 miles away from Henry's house.

The body mass of a bird?
A) categorical
B)Discrete
C)continuous

Answers

Answer:

Categorical

Step-by-step explanation:

Multiply:
x (x^2+2x+4) and -2 (x^2+2x+4)

Combine like terms.

Final Answer:

Answers

Answer:

x^3-8

Step-by-step explanation:

x^3+2x^2+4x + -2x^2-4x-8

+2x^2 and -2x^2 cancel out

+4x and -4x cancel out

Someone PLZ help me plz :

Answers

Answer:

2/8

Step-by-step explanation:

hi

Answer:

1/8

Step-by-step explanation:

when adding or subtracting fractions, we will always want the denominators to be the same.

so

We multiply the denominator 4 by 2 so we get an equal denominator of 8.

3/8 - 2/8

and we subtract numerators which will give us:

1/8

Is this true or false? The following graph represents a proportional relationship
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

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