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
enyata [817]
2 years ago
9

If AC = 8x - 14 and EC = 2x + 11, solve for x.

Mathematics
1 answer:
Elan Coil [88]2 years ago
5 0

Answer:

Step-by-step explanation:

8x-14=2x+11

-8 -8

-14=-6x+11

-11

-25=-6x

/-6

x=4.16

You might be interested in
at a local fitness​ center, members paya a ​$6 membership fee and ​$5 for each aerobics class. nonmembers pay ​$6 for each aerob
Anna007 [38]
The members 6 classes will be the same price of 11 nonmember classes
7 0
3 years ago
Help pls :’( ASAPP!!!<br> “Complete the proof”
nata0808 [166]

1) \overline{AB} \cong \overline{CD}, \overline{AD} \cong \overline{CB}, \overline{AX} \perp \overline{BD}, \overline{CY} \perp\overline{BD} (given)

2) \overline{BD} \cong \overline{BD} (reflexive property)

3) \triangle ABD \cong \triangle ACDB (SSS)

4) \angle ADB \cong \angle CBY (CPCTC)

5) \angle CYB and \angle AXD are right angles (perpendicular lines form right angles)

6) \triangle CYB and \triangle AXD are right triangles (a triangle with a right angle is a right triangle)

7) \triangle AXD \cong \triangle CYB (HA)

8) \overline{AX} \cong \overline{CY} (CPCTC)

6 0
2 years ago
I need to find the perimeter and area of the regular polygon.
mezya [45]
The area of a polygon is given by the formula Area = ap/2 where a is the length of the apothem and p is the perimeter. The apothem is a line from the center of the polygon perpendicular to a side.

Depending on the formula you know, you can find the length of a side in 1 of 2 ways. 

The first way uses a triangle. Using the radius of the polygon you can create 8 congruent triangles. The center angle will be 360 / 8 = 45 and two side lengths of 20. You can find the length of the base using the law of cosines.

c^2 = 20^2 + 20^2 - 2(20)(20)(cos 45)
c^2 = 400 + 400 - 800(cos 45)
c^2 = 800 - 800(cos 45)
c = sqrt(800 - 800(cos 45)
c = 15.31

The second way is to use this formula:
r = s / (2 sin(180 / n))
20 = s / (2 sin(180/8)
(20)(2)sin(22.5) = s
(40)sin(22.5) = s
s = 15.31

We need to calculate the perimeter. As there are 8 sides (8)(15.31) = 122.48
Now we need to calculate the apothem using

a = S / (2 tan (180 / n)
a = 15.31 / (2 tan (180 / 8))
a = 18.48

Now solve for the area

Area = ap/2
Area = (18.48)(122.48)/2
Area = 1131.72

perimeter = 122.48
area = 1131.72
7 0
3 years ago
Given that ∠A≅∠B, Evelia conjectured that ∠A and ∠B are acute angles.
Valentin [98]

Answer:

answer is choice 4 because in te given angle A and angle B are congrunt and if they are acute the degree measure is 0-90

6 0
3 years ago
sand falls from an overhead bin and accumulates in a conical pile with a radius that is always four times its height. suppose th
blagie [28]

Answer:

\frac{dv}{dt} =7239.168 cm/sec

Step-by-step explanation:

From the question we are told that:

Rate \frac{dh}{dt}=1cm

Height h=12cm

Radius r=4h

Generally the equation for Volume of Cone is mathematically given by

V=\frac{1}{3}\pi r^2h

V=\frac{1}{3}\pi (4h)^2h

Differentiating

\frac{dv}{dt} =\frac{16}{3}\pi3h^2\frac{dh}{dt}

\frac{dv}{dt} =\frac{16}{3}*3.142*3*12^2*1

\frac{dv}{dt} =7239.168 cm/sec

7 0
3 years ago
Other questions:
  • What is the measure of line VN?<br><br> 4.78 <br><br> 2.43<br><br> 4.22
    10·1 answer
  • Identify the linear equation.
    13·1 answer
  • Solve the system of equations:
    11·1 answer
  • It took 3/4 of a cake to
    7·1 answer
  • ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions
    12·1 answer
  • Find the surface area of 15cm, 5cm &amp; 7cm
    12·1 answer
  • Simple interest=Pxrxt
    13·1 answer
  • Which statements about the triangles are correct? Select TWO answer choices that apply.
    7·1 answer
  • Pls I have been stuck for the LONGEST TIME I WILL GIVE BRAINLIEST​
    10·2 answers
  • Choose the inequality represented in the graph.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!