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
Ira Lisetskai [31]
3 years ago
12

Abc is equilateral with AB=3x-2,BC=2x+4, and CA= x+10

Mathematics
1 answer:
yan [13]3 years ago
7 0
AB = BC, so 3x-2 = 2x+4.  Also, BC = CA, so 2x+4=x+10.

Solve this system of linear equations:

3x-2 = 2x+4
2x+4=x+10 => x=6

Check:  Does AB=BC?  Does AB=BC?

Does 3(6)-2 = 2(6)+4?  Does 16=16?  YES.
Does BC = CA?  Does 2(6)+4 = 6+10?  YES

x = 6 (answer)
You might be interested in
Find the function value. tan495°
inysia [295]

Answer: -1

Step-by-step explanation:

You want to find an angle that is coterminal to 495. So, subtract 360 degrees until youre in the range of 0-360. I got 495 - 360 = 135°

Tangent is equal to \frac{sin(theta)}{cos(theta)}, we already solved theta which was 135°

This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:

sin135=\frac{\sqrt{2} }{2}

Now lets do cosine of 135°, which again is apart of the pi/4 gang because its divisible by 45°. Its in quadrant 2 so the cosine will be negative.

cos135=-\frac{\sqrt{2} }{2}

The final step is to divide them. They are both fractions so you should multiply by the reciprocal.

\frac{\sqrt{2} }{2} *-\frac{2}{\sqrt{2} } =-\frac{2\sqrt{2} }{2\sqrt{2} } =-1

7 0
3 years ago
Read 2 more answers
Evaluate<br> 2^9 over 2^5
s2008m [1.1K]

Answer:

2^4  or 16

Step-by-step explanation:

We know that a^b / a^c = a^(b-c)

2^9 / 2^5

2^(9-5)

2^4  or 16

8 0
3 years ago
Read 2 more answers
Polly has $80,000 in a savings account that earns 1% annually. The interest is not compounded. How much will she have in 1 year?
Natasha2012 [34]

Answer:

80,800

Step-by-step explanation:

7 0
3 years ago
Solve for ? PLEASE HELP
schepotkina [342]

Answer:

70

Step-by-step explanation:

Tangent Chord Angle = 1/2Intercepted Arc

? = 1/2(140)

? = 70

6 0
3 years ago
Read 2 more answers
What is the area of the triangle? no links just the answer plz.
nikitadnepr [17]

Answer:

A = 25

Step-by-step explanation:

Base = |-2-(-7)| = |-2+7| = 5

equation of the line that includes the base

x = 6 (because it is parallel to y axis)

the height passes to the point (-4,-4) and must be perpendicular to the base

the equation of the line of the base hasn’t the slope expressed, so the line of the height has a slope equal to 0

so the equation of the line is y= -4

the point (6,-4) is where the two lines intercept and it is the point where the height hit  the base

height = |-4-6| = 10

A = (base x height)/2 = (5x10)/2 = 25

3 0
3 years ago
Other questions:
  • What is the name of 2 in 641.295
    9·1 answer
  • HELPPPP Cos x cosy = 1/2(sin (x+y)+ sin (x-y)) true or false
    14·1 answer
  • 3x²+5x-10=0 find the values of a,b and c​
    11·1 answer
  • For an upcoming school dance, Mr. Abbot bought 24 bags of pretzels and 18 bags of chips.
    5·1 answer
  • If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of
    9·1 answer
  • Jose bought 750 bags of peanuts for $375.00. He intends to sell each bag for $0.15 more than he paid. How much should he charge
    14·1 answer
  • AYUDA PLIS 1) Pablo compro un sobre de jugo que les costo $28,85, un alfajor por $85,50 y un helado. Si pago con $250 ¿Cuánto co
    14·1 answer
  • Can some help pleasee????
    10·1 answer
  • Miss Riley's class has 24 students. She has the students in groups. Each group can have no more than 5 students. if every studen
    10·2 answers
  • 4 students is ____% of 20 students
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!