1/2(2+a)=3a+4/3
first, you use the distributive property<span>
</span>then your problem changes to...
1 + 1/2a = 3a + 4/3
then you subtract 1/2a with 3a
1 = 2 1/2a +4/3
<span>
now you subtract 1 with 4/3
</span>
-1/3 = 2 1/2a
now you divide -1/3 with 2 1/2a
-2/15 = a
A = -2/15 is your answer. Hope this helps :)
Answer:
x = 8
Step-by-step explanation:
Step 1: Subtract 5x from both sides.
Step 2: Add 2 to both sides.
Step 3: Divide both sides by 2.
Step 4: Check if solution is correct.
Therefore, x = 8.
2.
We have a transversal across parallel lines so we get the usual array of congruent and supplementary angles. We just have to figure out which is which, and the diagram, even though not to scale, makes it pretty obvious.
Angle x isn't the same as the 40° angle so it must be its supplement.
Answer: C 140°
3.
r=1.2, h=2.9, V = (1/3) πr²h
Nothing hard here, we just plug in the numbers,
V = (1/3) π (1.2)² (2.9) ≈ 4.37310
Answer: B. 4.4 cubic inches
4.
Dilation by .5 makes a similar triangle, and reflection is an isomorphism (i.e. it doesn't change the size or shape) so the answer is
Answer: B similar not congruent
5.
The corresponding interior and exterior angles of a triangle form a linear pair, so supplementary angles. x=180-110 = 70°
Answer: A 70°
18 inch diameter = 9 inch radius
Sphere Volume = <span> 4/3 • <span>π <span>• r³
</span></span></span><span>Sphere Volume = <span> 4/3 * PI * 9^3
</span></span><span>Sphere Volume = <span> 4/3 * PI * 729
</span></span><span><span>Sphere Volume = </span>3,053.628 </span>
Answer:
272
Step-by-step explanation:
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