Answer:
2) ∠SDH and ∠SDT are right angles because SD ⊥ HT.
3) as it is given in the question.
4) is the reflexive property.
5) ΔSHD ≅ ΔSTD by RHS congruency.
Step-by-step explanation:
Given in the question:
In ΔSHD and ΔSTD
(Given)
(SD ⊥ HT)
(Common)
Therefore, (By RHS rule)
Reflexive property of congruency is defined as the property in which something is equal to itself. Hence, the reflexive property of these two triangles is
s = standard version amount
h = high quality version amount
we know that there were 1090 downloads of the song, meaning s + h = 1090.
we also know that the total amount of MBs downloaded was 3353 MBs, and since the standard is 2.1 MBs and the high quality is 4.9MBs, then 2.1s + 4.9h = 3353.
Answer:
1) C
2) B
Step-by-step explanation:
1) If a point lies ON the yz-plane, no matter what its coordinates are, one thing is for sure that its x-coordinate will always be zero! (this is helpful for visualization).
This information can guides us about which coordinate is responsible for how close or far we are to yz-plane!
The closest point to yz-plane would be the point the smallest value of x-coordinate. regardless of the the side.
here, among A,B, and C. C has the smallest x-coordinate, hence C is closest to the yz-plane.
2) If a point lies on xz plane, no matter what its coordinates are, its y-coordinate will always be zero.
Hence, among A,B, and C. A is the coordinate with y-coordinate as 0. Hence, B lies on the xz-plane.
A^2 +a-6. You use the method of foiling where you multiply the first two terms, the the outside terms, the inside terms, then the last terms. You would do a•a, then a•-2 the a•3 then 3•-2. You would get a^2 -2a +3a -6. Then combine like terms to get your answer.
The missing figure is attached
Answer:
∠x = 72° and ∠y = 54°
Step-by-step explanation:
From the first patterns
∵ x is the vertex angle of each isosceles triangle
∵ All the vertices angles of the 5 Δs meet at one point
∵ The sum of the measures of angles around a point is 360°
∴ x + x + x + x + x = 360°
∴ 5 x = 360°
- Divide both sides by 5
∴ x = 72
∴ ∠x = 72°
The sum of the measures of the interior angle of a triangle is 180°
∵ The measure of the vertex angle of each Δ is x
∵ The measures of the base angles of each Δ is y
∴ x + y + y = 180°
- Add like terms in the left hand side
∴ x + 2 y = 180°
∵ x = 72°
∴ 72 + 2 y = 180
- Subtract 72 from both sides
∴ 2 y = 108
- Divide both sides by 2
∴ y = 54
∴ ∠y = 54°