Answer:
Just two
Step-by-step explanation:
Glorias teacher asks her to draw a triangle with 90 degree angle and a 42 degree angle.
The presence of 90 degrees indicates that it's a right angle triangle.
The remaining angle= 180-90-42
The remaining angle= 48 degrees
Due to the presence of 90 degrees, the angle 42 and 48 degrees will interchange two times only to form only two unique triangles.
Answer:
x < -4
Step-by-step explanation:
To solve the inequality, use inverse operations.
-3x + 5 > 17
-3x > 17 - 5 Subtract 5 from both sides.
-3x > 12 Divide both sides by -3.
x < -4 Flip the inequality sign since you divided by a negative.
Just plug in the equation, 1/2*3/10 and multiply it out. Thus, 1*3=3 and 2*10=20
and the answer is 3/20.
Answer:
area = 81π in² (or ≈ 254.47 in²)
Step-by-step explanation:
The formula for an area of a circle is area = πr².
You are given the diameter, which is 18 in.
diameter = radius (2)
So to get radius, divide the diameter in half:
18/2 = 9.
Now that we have the radius, put that back into the formula for the area of a circle:
area= π9²
Then, solve for the 9², which will be 81 and put it back into the formula.
area = 81π in²
If you need to get rid of the π, the answer will be about 254.47 in²
Answer:
Nate is 32 years old and Anne is 27 years old
Step-by-step explanation:
Let's say that Nate's age is n and Anne's age is a. We know they add up to 59, so: n + a = 59. We also know that their difference is 5 and that Nate is older so we know the equation is: n - a = 5. We just need to solve this system of linear equations:
n + a = 59
n - a = 5
We can add the two equations together:
(n + a) + (n - a) = 59 + 5
2n = 64
n = 32
Knowing Nate's age, we can now calculate Anne's age by plugging 32 into any of the two equations:
32 - a = 5
a = 32 - 5 = 27
Thus, Nate is 32 years old and Anne is 27 years old.
Hope this helps!