Answer:
5
Step-by-step explanation:
√
3
x
+
10
=
x
To remove the radical on the left side of the equation, square both sides of the equation.
√
3
x
+
10
2
=
x
2
Simplify each side of the equation.
Tap for more steps...
3
x
+
10
=
x
2
Solve for
x
.
Tap for more steps...
x
=
5
,
−
2
Exclude the solutions that do not make
x
=
√
3
x
+
10
true.
x
=
5
11 x 2 = 22
22 is closest to 20…
<span>Jake has 48 friends (so many friends!!)
</span><span>Each car has 2 seats
</span><span>How many cars will he have to get to drop all of his friends?
48 </span>÷ 2 = 24
24 cars
Check:-
24 × 2 = 48
Correct!
24 cars will be needed.
C. â–łADE and â–łEBA
Let's look at the available options and see what will fit SAS.
A. â–łABX and â–łEDX
* It's true that the above 2 triangles are congruent. But let's see if we can somehow make SAS fit. We know that AB and DE are congruent, but demonstrating that either angles ABX and EDX being congruent, or angles BAX and DEX being congruent is rather difficult with the information given. So let's hold off on this option and see if something easier to demonstrate occurs later.
B. â–łACD and â–łADE
* These 2 triangles are not congruent, so let's not even bother.
C. â–łADE and â–łEBA
* These 2 triangles are congruent and we already know that AB and DE are congruent. Also AE is congruent to EA, so let's look at the angles between the 2 pairs of congruent sides which would be DEA and BAE. Those two angles are also congruent since we know that the triangle ACE is an Isosceles triangle since sides CA and CE are congruent. So for triangles â–łADE and â–łEBA, we have AE self congruent to AE, Angles DAE and BEA congruent to each other, and finally, sides AB and DE congruent to each other. And that's exactly what we need to claim that triangles ADE and EBA to be congruent via the SAS postulate.