Answer:
x = 48, x - 6 = 42, 2x = 96
Step-by-step explanation:
To solve this problem, we must first notice that the unlabeled angle must also have a measure of (x-6). This is because two of the legs of the triangle are congruent, so the adjacent angle measures must be the same.
From this, we can recall that the sum of the interior angles of a triangle must equal 180 degrees. This fact lets us set up the following equation:
(x-6) + (x-6) + 2x = 180
After simplifying, we get:
(x + x + 2x) + (-6 - 6) = 180
4x - 12 = 180
4x = 192
x = 48
Therefore, the value of x is 48. We can plug in this value to find the angle measures:
x - 6 = 48 - 6 = 42
2x = 2(48) = 96
For more information about solving for unknown triangle angles, check out these other Brainly questions:
Answer:
x = 48°, Isoceles angles = 42° and Remaining angle = 96°
Step-by-step explanation:
The sum of the interior angles of any triangle is 180 degrees. This is true for all triangles, regardless of their shape or size.
Isosceles triangles have two equal sides and two equal angles opposite those sides. This means that the two base angles of an isosceles triangle are congruent.
Inthis case:
The given triangle is isoceles triangle. So, the remaining angle is (x-6)°.
Since sum of the interior angles of any triangle is 180 degrees.
we can say that:
(x-6)° +(x-6)° + 2x° = 180°
Simplify like terms:
4x° - 12 = 180°
Add 12 on both sides.
4x - 12 + 12 = 180 + 12
4x = 192
Divideboth sides by 4.
x = 48°
The other angles are:
The rate of the water leaking is 0.0625 gallons/minute if the large container holds 8 gallons of water.
It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that:
A large container holds 8 gallons of water. It begins leaking at a constant rate. After 16 minutes the container has 7 gallons of water left.
The difference in volume = 8 - 7
The difference in volume = 1 gallon
The container lost 1 gallon in 16 minutes,
The rate of the water leaking = 1/16
The rate of the water leaking = 0.0625 gallons/minute
Thus, the rate of the water leaking is 0.0625 gallons/minute if the large container holds 8 gallons of water.
The complete question is:
a large container holds 8 gallons of water. it begins leaking at a constant rate. at 16 minutes, the container has 7 gallons of water le. what’s the rate of water leaking?
Learn more about the rate of change here:
#SPJ5
Answer: n = 5
Step-by-step explanation: To solve for n, we must first isolate the term containing n which in this problem is 3n.
Since 8 is being added to 3n, we subtract 8 from both sides of the equation to isolate the 3n. On the left, the +8 and -8 cancel out and on the right 23 - 8 is 15.
So we have 3n = 15.
Now we can finish things off by just dividing both sides of the equation by 3. On the left the 3's cancel and on the right 15 divided by 3 is 5 so n = 5 and you can check your answer by plugging 5 back in for n in the original equation which is shown below in bold.
3(5) + 8 = 23 or 15 + 8 = 23.
Answer:
n = 5
Step-by-step explanation:
3n + 8 = 23
- 8 - 8 Subtract 8 from both sides
3n = 15
n = 5 Divide both sides by 3