Only the second set of measures qualifies as angle measures of a triangle. Angles 25°, 130°, 25°
Step-by-step explanation:
- Step 1: To find whether angles qualify as angle measures of a triangles, calculate their total sum and verify whether they add up to 180°
Set 1 - 41° + 112° + 52° = 205°
Set 2 - 25° + 130° + 25° = 180°
Set 3 - 30° + 40° + 90° = 160°
Set 4 - 132° + 141° + 31° = 304°
Therefore, only set 2 qualifies.
There are 65 Liters in 6500 centiliters.
1 cl = 0.01 L, so 0.01 x 6500 = 65
Answer:
a₁ = 38
Step-by-step explanation:
Given AP, where:
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<h3>Solution</h3>
aₙ = a₁ + (n-1)d
- a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
- a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22
8a₈ = 12a₁₂
- 8(a₁ - 14) = 12(a₁ - 22)
- 2(a₁ - 14) = 3(a₁ - 22)
- 2a₁ - 28 = 3a₁ - 66
- 3a₁ - 2a₁ = -28 + 66
- a₁ = 38
Answer:
As shown in picture:
A(-4, 1)
Z(-2, 3)
P(3, -4)
The length of AZ is calculated by:
L = sqrt((-4 - -2)^2 + (1 - 3)^2) = 2.83
The length of AP is calculated by:
L = sqrt((3 - -4)^2 + (-4 - 1)^2) = 8.60
THe length of ZP is calculated by:
L = sqrt((3 - -2)^2 + (-4 - 3)^2) = 8.60
=>Perimeter of triangle AZP is calculated by:
P = AZ + AP + ZP = 2.83 + 8.60 + 8.60 = 20.3
Hope this helps!
:)
