Answer: 6/52 (Fraction)
Step-by-step explanation:
We know that there is 26 black cards, therefore 2 black 7's we also know there is four 4's in the pack therefore we add the 2 + 4 = 6 and it has to be in a fraction so it becomes 6/52
See the picture attached.
We know:
NM // XZ
NY = transversal line
∠YXZ ≡ ∠YNM
1) <span>
We know that ∠XYZ is congruent to ∠NYM by the reflexive property.</span>
The reflexive property states that any shape is congruent to itself.
∠NYM is just a different way to call ∠XYZ using different vertexes, but the sides composing the two angles are the same.
Hence, ∠XYZ ≡ <span>∠NYM</span> by the reflexive property.
2) Δ<span>
XYZ is similar to ΔNYM by the AA (angle-angle) similarity theoremThe AA similarity theorem states that if two triangles have a pair of corresponding angles congruent, then the two triangles are similar.
Consider </span>Δ<span>XYZ and ΔNYM:
</span>∠YXZ ≡ <span>∠YNM
</span>∠XYZ ≡ ∠NYM
Hence, ΔXYZ is similar to ΔNYM by the AA similarity theorem.
Answer:
$960.24
Step-by-step explanation:
Hello!
Let the regular price be x.
38% of x = 0.38x
0.38x = 364.89
<h3>Solve for x</h3>
- 0.38x = 364.89
- x = 364.89/0.38
- x = 960.2368421053 ≈ 960.24
The price of the table yesterday was around $960.24.
88 degrees, using the central angle and inscribed angle theorems, the central angle, in this case MON, equals the central arc. The inscribed angle is half of the arc, in this case the central arc. So MLN is half of MON.