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
Olin [163]
3 years ago
8

Δ ABC is isosceles. If m∠A = 100°, m∠B = (12x + 4)°, and m∠C = (14x - 2)°, find x.

Mathematics
1 answer:
valentina_108 [34]3 years ago
8 0
Since the sum of the angles of a triangle is 180 degrees, we simply have to add all the angles and equate it to 180 to solve for x. So:
100 + 12x + 4 + 14x - 2 = 180
26x = 78
x = 3

So, x is equal to 3.
You might be interested in
Round 7.21 divided by 7 to the nearest tenth
tensa zangetsu [6.8K]
1 is the answer.

The exact answer is 1.03, but we have to round it to the nearest tenth which is 0 because 3 is less than 5.
8 0
3 years ago
Write in slope-intercept form an equation of the line that passes through the given points. (5,4), (10,8)
professor190 [17]

Answer:

y=4/5x

Step-by-step explanation:

y=mx+b

plug in y and x into each equation and solve!

4=5m+b

8=10m+b

4=5m

m=4/5

b=0

y=4/5x+0

6 0
2 years ago
If ( f ∘ g)(x) = x2 - 6x + 8 and g(x) = x - 3, what is f(x)?
DochEvi [55]
\bf \begin{cases}
(f\circ g)(x)=x^2-6x+8\\\\
(f\circ g)(x)=f(~~g(x)~~)\\\\
g(x)=x-3\\
\end{cases}
\\\\\\
\textit{now, one probability is }x^2-1
\\\\\\
f(x)=x^2-1\implies f(~~g(x)~~)=(x-3)^2-1
\\\\\\
f(~~g(x)~~)=(x^2-6x+9)-1\implies f(~~g(x)~~)=x^2-6x+8
5 0
3 years ago
Shirts are on sale for 25% of the original price of $45 what is the sale price
OverLord2011 [107]

Answer: Sale price is $11.25

Explanation:

0.25 x 45=11.25

5 0
2 years ago
Evelyn's made a cake in the shape of a circus tent the cake consisted of a cylinder and a cone .The height of the cone is half t
Lera25 [3.4K]
The volume of the cake is 1470 in³. 
volume of a cylinder = πr² x height
(Think about how a cylinder is basically a bunch of circles stacked on top of each other. To find the volume, first you need the area of the circle (πr², then you multiply by how many circles you are stacking on top of each other (height)) 

we know the diameter of the cylinder is 12 in. and the radius is half of the diameter. 
half of 12 is 6, therefore the radius is 6 in. or r = 6 
Assuming pi is 3.14, solve for the height of the cylinder
1470 = (3.14)(6²)(height)
1470 = 3.14 x 36 x height
1470 = 113.04 x height
height ≈ 13 in

Now that we know the height of the cylinder is about 13 in., we know the height of the cone, because the problem says that the height of the cone is half the height of the cylinder. 
half of 13 is 6.5, therefore the height of the cone is 6.5 
the radius of the cone is the same as that of the cylinder, 6 in. 

volume of a cone = πr² × (height ÷ 3)

volume of the cone = (3.14)(6²)(6.5 ÷ 3)
volume of the cone = (3.14)(36)(2.16666)
volume of the cone = 244.92 in³

Now all that's left to find the volume of the whole cake is to add the volume of the cylinder to the volume of the cone. 

1470 + 244.92 = 1714.92 in³



6 0
3 years ago
Other questions:
  • First right answer gets brain
    7·2 answers
  • If f(x) = 3x +2, g(x) = 4x, what is f(g(x)?
    5·1 answer
  • Mike 130 super bouncy balls playing basketball as schools game last night later he gave two to each of his friends this can be r
    6·1 answer
  • You are buying lawn seed for the the football field a 10 pound bag of lawn seed covers 2000 square feet.
    9·2 answers
  • Acone has a height of 2.5 in, and a radius of 5 in. What is the volume of the cone? (Use 3.14 for s. Round the answer to two
    13·1 answer
  • Which statement describes the relationship between the length of a rain delay and the number of hours of rainfall?
    10·1 answer
  • This is my last one please anyone
    5·1 answer
  • A store has a sale with 20% off every item. When you enter the store, you receive a coupon that states that you receive an addit
    15·1 answer
  • Calculate the surface area-to-volume ratio of a cube whose sides are 3 cm long​
    5·1 answer
  • find the simple interest on a sum of rupees 2,000 at 11/2% per annum for 8 June 2015 to 19th August 2015​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!