Answer:
- ΔSQR ≅ ΔTQP by ASA congruence
- triangle congruence is needed before a claim based on that can be made
Step-by-step explanation:
1. The last step claims the lengths PQ and RQ are the same based on the congruence of triangles SQR and TQP. In order to make that claim, some step in the proof needs to claim that those triangles are congruent. That claim is the missing step:
ΔSQR ≅ ΔTQP --- ASA congruence postulate
__
2. Without a claim of triangle congruence, the claim of triangle side congruence is unsupported. The proof must contain a claim that the triangles containing corresponding sides PQ and RQ are congruent.
equal to the sum of the measures of the two non-adjacent interior angles of the triangle
32. 20 miles per gallon
33. 500 kilobytes per minute
34. $1.29 per pepper
35. 7.2 meters in one second
Answer:
y = -2x + 25
Step-by-step explanation:
A standard equation can be in slope-intercept form: y = mx + b
m is the slope, b is the y-intercept.
Plug in the given slope.
y = -2x + b
To find b, plug in the given point (9, 7).
7 = -2(9) + b
Multiply.
7 = -18 + b
Add 18 to both sides to find b.
25 = b
Plug this into your standard equation.
y = -2x + 25
Check by plugging in the given point again.
7 = -2(9) + 25
7 = -18 + 25
7 = 7
Your answer is correct!
Hope this helps!
Volume = 336,78 ft³
Surface Area = 367,04 ft²
Note :
l = long
w = wide
h = height
d = diameter
r = radius
V = Volume
SA = Surface Area
Known :
Rectangular prism :
l = 7 ft
w = 4 ft
h = 9 ft
Cylinder :
d = 6 ft
r = ½ d = ½ × 6 = 3 ft
h = 3 ft
Asked :
• V = ...?
• SA = ...?
Answer :
V = V rectangular prism + V cylinder
= (l × w × h) + (πr²t)
= (7 × 4 × 9) + (3,14 × 3² × 3)
= 252 + 84,78
= <u>3</u><u>3</u><u>6</u><u>,</u><u>7</u><u>8</u><u> </u><u>ft</u><u>³</u>
SA = SA rectangular prism + SA cylinder
= (2 (lw + lh + wh)) + (2πr (r + h))
= (2 (7×4 + 7×9 + 4×9)) + (2 × 3,14 × 3 (3 + 3))
= (2 (28 + 63 + 36)) + (18,84 × 6)
= (2 × 127) + 113,04
= 254 + 113,04
= <u>367,04 ft²</u>
