Step-by-step explanation:
20 x 399 x 5
= (20×5) × 399
= 100×399
= 39,900
1. Rational. It is non-terminating but repeating.
2. Irrational. It is non-terminating, non-repeating
3. Irrational. π is irrational
4. Rational. √49 is 7
5. Irrational. 22 is not a square.
Answer:
Line RT || Line VS ∠SRV ≅ ∠TUR - Given/Alternate Interior Angles Theorem
∠TRU ≅ ∠SVR - Corresponding Angles Theorem
ΔRTU ~ ΔVSR - AA Similarity Theorem
Step-by-step explanation:
The statement Line RT || Line VS ∠SRV ≅ ∠TUR is given. This can be explained with the Alternate Interior Angles Theorem. It states that if two parallel lines (TR and VS) are cut by a transversal (∠SRV), then the pairs of alternate interior angles are congruent.
∠TRU and ∠SVR correspond to each other, so that would be the Corresponding Angles Theorem.
That leaves ΔRTU ~ ΔVSR being that away due to the AA Similarity Theorem. It states that states that if two angles of one triangle (∠RTU, ∠URT for example) are congruent to two angles of another triangle (∠VSR, ∠RVS are the congruent angles to the two from before), then the triangles are similar.
Answer:
24 slices of pizza were available to be eaten
Step-by-step explanation:
Here, we want to get the number of slices of pizza available to be eaten
From the question;
a slice is 1/6 of a pizza
So the number of slices in a full pizza would be 1 divided by 1/6 = 1* 6/1 = 6 slices
In each of the pizzas, there were 6 slices;
So the number of slices in 4 pizzas would be 6 * 4 = 24 slices
So, 24 slices of pizza were available to be eaten by the girls
Answer:
A = π(34), or approx. 106.8 units²
Step-by-step explanation:
Recall that the formula for the area of a circle is A = πr².
If (3, 5) is a point on the circle at hand, then the radius (found using the Pythagorean Theorem) is r = √(3² + 5²) = √(9 + 25) = √34.
Then r² = 34, and the area of this circle is
A = π(34), or approx. 106.8 units²
