The sum is 194. You would just add them all together.
<span><span>5/43</span>÷<span>25/86
</span></span><span>=<span>5 × 86/43 × 25
</span></span><span>=<span>430/1075
</span></span><span>=<span>430 ÷ 215/ 1075 ÷ 215
</span></span><span>=<span>2<span>5
</span></span></span>
Answer:
14,850
Step-by-step explanation:
Answer:
x = -2 or x = 1/2
Step-by-step explanation:
First get the eq in standard form, which means:
x² should not have that 2 in front of it
move the other 2 to the left
so first let's divide by 2:
x² + 3/2 x = 1
now move the 1 to the left
x² + 3/2 x - 1 = 0
now look for two numbers that, when multiplied, give -1, and when added, give 3/2. This is a bit of trial-and-error if you want to solve in this way.
The numbers are 2 and -1/2, since 2*-1/2 = -1, and 2 - 1/2 = 3/2
The factorization thus is:
x² + 3/2 x - 1 = (x+2)(x-1/2) = 0
Either factor (x+2) or (x-1/2) can be zero to solve the solution, hence x = -2 or x = 1/2
If BD is congruent to BC, that means that the sides are equal, so their angles are too.
6x-9 = 3x+24
3x = 33
x = 33/3
x = 11
Angle BCD:
6×11-9 = 66-9 =57°
Angle BDC:
3×11+24 = 33+24 = 57°
Angle B:
x = 180° - 2×57°
x = 66°
