Mathematics High School

Triangle ABC is shown below.
What is the length of line segment AC?
07
A
09
2x
3x - 7
O 14
18
B
4x - 10
с

Triangle ABC Is Shown Below.What Is The Length Of Line Segment AC?07A092x3x - 7O 1418B4x - 10

Answers

Answer 1

Answer:

14

Step-by-step explanation:

3x-7=2x(isosceles triangle)

x=7

AC=3(7)-7=21-7=14

Answer 2

The length of the side AC in the given triangle is 14 units.

What is a triangle?

A polygon with three sides, angle and vertex is called a triangle.

Given is a triangle ABC, with sides, AB = 2x, AC = 3x-7 and BC = 4x-10,

We need to find the length of AC,

According to the figure, ∠B ≅ ∠C, therefore, according to the theorem of triangles, that sides opposite to congruent angles are congruent,

Therefore, AC = AB

2x = 3x-7

x = 7

AC = 3(7)-7

AC = 14

Hence, the length of the side AC in the given triangle is 14 units.

Learn more about triangle, click;

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Related Questions

Which expression is equivalent to (8m + 6) + (3m - 2) ?

Answers

Answer:

(11m-4)

Step-by-step explanation:

8m+3m=11m

6-2=4

The answer to the question is 11m+4

The Bigtown football team outscored its opponents 5:2 last season. If their opponents scored 38 points, how many points did Big Town score? (Hint: Bigtown is first in the ratio)

Answers

Answer:

95 points

Step-by-step explanation:

Let P = Big Town's points

5/2 = P/38

2P = 190

P = 95 points

Which of the following is NOT a solution for the inequality below? Please look at the picture

Answers

Hello Vanessa. I will be contacting your school for cheating.

Draw a conclusion is the statment below always, sometimes, or never true ? Bive at least two examples to support your reasoning. The lcm of two numbers is the product of the two number discuss your conclusion with a partner

Answers

Answer:

Sometimes

Step-by-step explanation:

Example 1:

Take two numbers as [tex]7,8[/tex]

LCM of [tex]7,8=7(8)=56[/tex]

In this case, the lcm of two numbers is equal to the product of the two numbers.

Example 2:

Take two numbers as [tex]6,3[/tex]

[tex]6=3(2)[/tex]

So,

LCM of [tex]6,3=3(2)=6[/tex]

In this case, the lcm of two numbers is not equal to the product of the two numbers.

Therefore,

Sometimes, the lcm of two numbers is equal to the product of the two numbers.

Michelle’s mom is letting her paint her room pink. What formula would she use to figure out how much paint she needs.

Answers

There’s no picture or anything so try again

A box contains 45 cubes numbered 1-45. What is the probability of pulling out 2 primes in a row if the first one is. It replaced?

Answers

Answer:

1/9

Step-by-step explanation:

prime #'s between 1 and 45:

2,3,5,7,11,13,17,19,23,27,29,31,37,41,43

P(prime,prime) = 15/45 × 15/45 or 1/3 × 1/3

What is 1/2 to the power of 5??

Answers

Answer:

1/32

Step-by-step explanation:

answer asap! will give brainliest, question in pic!

Answers

Answer:

Im 95% sure that it is most likely the first one.

Step-by-step explanation:

. A clothing store offers a 30% discount on all items at the store. If the original price of a sweater is $40, how much will you pay for the sweater at the discounted price?

Answers

Answer:

I don't know i just want some points but to be honest i think you have to divide 40 by 30 then multiply by 100.

Step-by-step explanation:

hope this helps but try and work it out.

Please helpppp :< here is 25 points

Answers

Answer:

function b

Step-by-step explanation:

When its asking for which function has a greater rate of change its asking for which slope has a greater value

the slope is calculated by change in y over change in x

for function a, as y goes up 2 x goes up 1

so the slope ( rate of change) is 2/1

for function b is y goes up 3 x goes up 1

so the slope (rate of change) is 3/1

3/1 is greater than 2/1 so function b has a greater rate of change

the elevator at an old hotel has a weight limit of 1200 pounds. Assume the average person weighs 150 pounds and has a 10 pound luggage. What is the greatest amount of people that can ride the elevator at the same time

A: 7 people
B: 9 people
C: 11 people
D: 13 people​

Answers

the answer would be b

hey if ur good at algebra... plz help meh

ty

Answers

Im not for sure.. but I think it would be something like 3,9

Answer:

We rearrange the first equation into y = 8x - 42 and we substitute it in to get

-4x - 6 = 8x - 42 so 12x = 36 so

x = 3 and y = -18

hope this helps and brainliest please

what is the area of the figure below

Answers

Answer:49.5

Step-by-step explanation:

Since all sides of a square are equal, multiply 6 x 6. Then multiply 6 times 4 1/2 then divided by 2. Now add everything together. Hopefully this helps :)

The cross country team practice by jogging on town steerts the average jogging rate is 6 mile per hour one member jogged for 3.5 hours one weekend how many miles did the team member jogged

Answers

Answer:

6mile + hour + 3.5 hours + miles

Step-by-step explanation:

add the expressions

How pure is 16-karat gold?

Answers

Answer:

here

Step-by-step explanation:

16 karat gold is 16 parts gold to 8 parts other material for a pure gold percentage of 67%.

Answer:

About 67% because karats are on a scale of 1-24 with 24 being pure gold,

so 16/24.

What is the classification for this polynomial? 5 Click on the correct answer monomial binomial trinomial​

Answers

where is the polynomial?
u can reply to my answer and i’ll help.

image down below thx

Answers

Answer: I thinks its B

Step-by-step explanation:

The answer is b
As 66/6 is 11
And the sign doesn’t change


Two angles are complementary. The measure of angle W is four times the
measure of angle N plus 10 degrees. What is the measure of angle N?

Answers

W=4N+10
N+4N+10=90
5N=80
N=80/5=16

answer correctly for brainliest

Answers

Answer:

x=3

Step-by-step explanation:

When you substitute x = 3 to both equations, you get y = -4 for both so that is a solution

Which function is equivalent to
f(x) = x2 + 3x – 18?
F f(x) = (x - 6)(x – 3)
G f(x) = (x - 6)(x + 3)
H f(x) = (x + 6)(x + 3)
J f(x) = (x + 6)(x - 3)

Answers

J Is the answer, (x+6)(x-3) is the equivalent

Congruent Triangles will mark brainiest with thorough explanation.

AAS
SAS
ASA
Can't Determine

Answers

ASA

Angle-Side-Angle

AAS is the same but the order in different.

SAS is a no because there are no two S.

Can't determine bah! You can determine.

PLEASE BRAINLIEST

Answer:

The markings are different.

SAS and ASA would work, as you can count the sides and angles respectively, however, the markings are different, so I am not sure.

Actually I was wrong. Please give the other person credit.

someone please solve

Answers

Answer:

B

Step-by-step explanation:

Radius is half of diameter so r is 36

[tex]4/3\pi r^3[/tex] is volume of sphere

using 3.14 as pi you get 195,333.12 cubic cm

What is the geometric mean of 6 and 16?

Answers

I think its 9.7980........

The Geometric mean of 6 and 16 is

What is the solution to the system of equations?
x = -4y
3x + 2y = 20

Answers

Answer:

(x, y) = (8, -2)

Step-by-step explanation:

Substitute:

3(-4y) + 2y = 20

-12y + 2y = 20

-10y = 20

y = -2

x = -4(-2) = 8

a real number between √13 and √14

Answers

Answer:

3.7

Step-by-step explanation:

35,651,000,000 in to scientific notation

Answers

3.5651 × 10 to the tenth power

Need help with this trigonometry word problem
From the top of the tower 30 m height a man is observing the base of a tree at an angle of depression measuring 30 degree. Find the distance between the tree and the tower.
Please show your work

Answers

Answer:

  30√3 m ≈ 52 m

Step-by-step explanation:

The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. The long leg of the triangle is √3 times 30 m, or about 51.96 m.

The distance between the tree and the tower is about 30√3 m ≈ 52 m.

__

If you haven't memorized the ratios of this special triangle, you can use the relation ...

  Tan = Opposite/Adjacent

  tan(30°) = 30/d

  d = 30/tan(30°) = 30√3 = 51.96 . . . . same as above


Luis saved 5/8 of his pay. What percent of his pay did he save?

Answers

It’s 62.5%

Have a great day! The steps are down below

I need help with geometry

Answers

tan x = 16 / 7
tan x = 2,9
x = tan ^ -1 (2,9) = 66°

Answer:

Step-by-step explanation:

Solve the absolute value equation:
|x| -7=-3

Answers

Divide by -7. This gives you |x|=the answer. Then split it into two equations like
x= the answer but positive
x= the answer but negative
Then solve both of your equations for x to get the two answers.

Answer:

Step-by-step explanation:

-3+7=4

x=4

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