From the second and third steps, we know that m∠TUV = m∠1 + m∠2. We also know that m∠XWV = m∠3 + m∠4. Since ∠TUV and ∠XMV both measure 90°, we can set their measures equal to each other:
m∠TUV = m∠XMV
or equivalently:
m∠1 + m∠2 = m∠3 + m∠4
Next, we can use the fact that ∠1 ≅ ∠3 to say that m∠1 = m∠3, while allows us to replace one with the other. Here, we'll replace m∠3 with m∠1:
m∠1 + m∠2 = m∠1 + m∠4
Subtracting m∠1 from either side:
m∠2 = m∠4, which implies that ∠2 ≅ ∠4, as we wanted to show.
Answer: 36
Step-by-step explanation:
The area of a triangle is (1/2)lw <- that just means that a triangle is half a square. Length * width is the original formula for solving the area of a square.
6 * 12 = 72; 72/2 = 36
y ≤ One-thirdx − 1
y ≥ One-thirdx − 1
y < 3x − 1
y > 3x − 1
Answer:
Option B.
Step-by-step explanation:
A solid straight line passes through (0, -1) and (3, 0)
Slope of the line =
=
=
Equation of the line passing through (0, -1) will be
y - y' = m(x - x')
Since this line is solid then there will the sign of (≥ or ≤)
If everything above and to the left of the line is shaded then the inequality will be
Therefore, the answer will be option B.
Answer: C
Step-by-step explanation:
Just took the test and made a 100%
Answer:
x-2
Step-by-step explanation:
photomath app
The circumference of a juice can with a diameter of 2.25 inches is approximately 7.065 inches.
The circumference of a circle can be found using the formula C = πd, where C is the circumference and d is the diameter. In this case, the diameter of the juice can is given as 2.25 inches. Therefore, the circumference can be calculated as C = 3.14 * 2.25 = 7.065 inches. So, the circumference of the juice can is approximately 7.065 inches.
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