Answer:
1) Distribute 1.2 to 6.3 and -7x
2)Combine 3.5 and 7.56
3)Subtract 11.06 from both sides
Step-by-step explanation:
3.5 + 1.2(6.3 - 7x) = 9.38
Distribute 1.2 to 6.3 and -7x
3.5 + 1.2* 6.3 - 1.2 * 7x = 9.38
3.5 + 7.56 - 8.4x = 9.38
Combine 3.5 and 7.56
11.06 - 8.4x = 9.38
Subtract 11.06 from both sides
11.06 - 8.4x -11.06 = 9.38 - 11.06
-8.4x = -1.68
To find solution:
Divide both sides by (-8.4)
-8.4x/-8.4 = -1.68/-8.4
x = 0.02
2. 3. 5. are correct
1. and 4. are actually interchanged
Answer:
(a) ΔARS ≅ ΔAQT
Step-by-step explanation:
The theorem being used to show congruence is ASA. In one of the triangles, the angles are 1 and R, and the side between them is AR. The triangle containing those angles and that side is ΔARS.
In the other triangle, the angles are 3 and Q, and the side between them is AQ. The triangles containing those angles and that side is ΔAQT.
The desired congruence statement in Step 3 is ...
ΔARS ≅ ΔAQT
Answer:
= 3052.08 cm^3
Step-by-step explanation:
Volume of a sphere is given by
V = 4/3 pi r^3
We know the diameter is 18
d = 2r
18 = 2r
Divide each side by 2
18/2 =2r/2
9 =r
V = 4/3 pi 9^3
V = 4/3 pi (729)
V = 972 pi
Approximating pi by 3.14
V =972 (3.14)
= 3052.08 cm^3
Answer:
3x=42
Divide 3x to both sides
14=x
56=8x
Divide 8 to both sides
7=6
6x+4=40
subtract 4 to both sides
6x=36
divide 6 to both sides
x=6
58=4x-6
add 6 to both sides
64=4x
divide 4 to both sides
16=x
Step-by-step explanation:
