1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svlad2 [7]
3 years ago
5

The vertices of a triangle are A(7,5) B(4,2) and C(9,2) what is mABC

Mathematics
2 answers:
shutvik [7]3 years ago
6 0

Answer:

A(7,5)

Step-by-step explanation:

This is correct because the area of a triangle is b × h = a.

Vinvika [58]3 years ago
5 0

Answer:

The measure of ∠ABC  is 45°.

Step-by-step explanation:

Given : The vertices of a triangle are A(7,5) B(4,2) and C(9,2).

To find : What is ∠ABC ?

Solution :

First we side the length of the sides,

Using Distance formula,

d =  \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

Length of side AB, A(7,5) and B(4,2)

c=  \sqrt{(7-4)^2 + (5-2)^2}  \\c=  \sqrt{(3)^2 + (3)^2}  \\c=  \sqrt{9+9}  \\c=  \sqrt{18}

Length of side BC, B(4,2) and C(9,2)

a=  \sqrt{(4-9)^2 +(2-2)^2}  \\a=  \sqrt{(-5)^2 + 0}  \\a=  \sqrt{25}  \\a= 5

Length of the side AC, A(7,5) and C(9,2)

b =  \sqrt{(7-9)^2 +(5-2)^2}\\  b=  \sqrt{(-2)^2 + (3)^2}  \\b=  \sqrt{4+ 9}\\b=\sqrt{13}

By the Law of Cosines,

\cos B=\frac{a^2 + c^2 -b^2}{2ac}

Substitute the values,

\cos B=\frac{(5)^2 + (\sqrt{18})^2 - (\sqrt{13})^2}{2\times 5\times \sqrt{18}}  

\cos B =\frac{25+18-13}{10\sqrt{18}}  

\cos B=\frac{30}{10\sqrt{18}}  

\cos B =\frac{3}{\sqrt{18}}  

\cos B= \frac{3}{3\sqrt{2}}  

\cos B= \frac{1}{\sqrt{2}}  

Taking Inverse Cosine function,

B= \cos^{-1}( \frac{1}{\sqrt{2}})  

B=45^\circ  

Therefore, The measure of ∠ABC  is 45°.

You might be interested in
Ms staub has a bag full of crayons in her classroom, in her bag there were 10 of each colors blue , black , yellow , green , red
tangare [24]
The answer is unlikely, there is a 2 out of 30 percent chance.
5 0
3 years ago
Read 2 more answers
Help me with my math!
joja [24]
23 is negative correlation
6 0
3 years ago
Read 2 more answers
HELP ME PLEASE I AM BEGGING
Inessa05 [86]

Answer:

H

Step-by-step explanation:

well it would be a proportion. so 5 cans per 3 days gives you 5/3. then for the next proportion. it would also be cans over days. so c / 7

5/3 = c/7

answer is H

8 0
2 years ago
If $250 is invested at an interest rate of 12% per year, compounded biannually, how much will the investment be worth at the end
Kryger [21]

Answer:

2563

Step-by-step explanation:

Kgr7q wtbej iw ku3yf kuey wuyr icnt gje eruyg eurygb ekuv ekght kicu dkyg

4 0
3 years ago
Marcus bought a booklet of tickets to use at the amusement park. He used 25% of the tickets on rides, 1/4 of the tickets on vide
Jobisdone [24]

Answer:


Step-by-step explanation:


6 0
3 years ago
Other questions:
  • Solve the equation. x/5 +9 = 4
    12·1 answer
  • Explain why rational exponenets are not defined when the denominator of the exponent in lowest terms is even and the base is neg
    11·1 answer
  • How to factor a quadratic when a isn't 1?
    12·1 answer
  • Choose all of the system of equations which have no solution. x + 2y = 10 and 2y = 6 + 5x x = 8 − y and y = 6 + 5x 3x + 2y = 5 a
    13·1 answer
  • What mixed number is 3/8 of 100
    10·1 answer
  • What solid shape does the two nets make?
    14·1 answer
  • Which of the a-values satisfy the following inequality? 7 + a < 11 Choose all answers that apply: А a = 3 B a = 4 a = 5​
    11·2 answers
  • Use the discriminant to determine if the following quadratic equations have complex or real solution(s). If an equation has real
    11·1 answer
  • Rewrite without parentheses-8w^2x^6(7x^3+3w-6)
    12·1 answer
  • Identify the slope of the graphed line:
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!