Answer:
x=3/4
Step-by-step explanation:
First, we must combine like terms and find the common denominator (which is 5):
12/5x-2x
12/5x-10/5x=2/5x
Then, we cross multiply
= 2x(10)=(3)(5)=20x=15
Then, we divide by 20 to get x:
x=15/20
and finally, we simplify the fraction
x=3/4
Answer:
15°
Step-by-step explanation:
Since P is on the median of ΔABC, it is equidistant from points B and C as well as from C and Q. Thus, points B, C, and Q all lie on a circle centered at P. (See the attached diagram.)
The base angles (B and C) of triangle ABC are (180° -30°)/2 = 75°. This means arc QC of the circle centered at P has measure 150°. The diameter of circle P that includes point Q is defined to intersect circle P at R.
Central angle RPC is the difference between arcs QR and QC, so is 180° -150° = 30°. Inscribed angle RQC has half that measure, so is 15°. Angle PQC has the same measure as angle RQC, so is 15°.
Angle PQC is 15°.
4) 975
5) 53/7650
…… ,… … … …
Since the numbers are consecutive, they can be represented by:
x, x+1, x+2, x+3, x+4
Their sum is -20 = x+x+1+x+2+x+3+x+4. Result: -20=5x+10, or 5x=-30, or x = -6.
Then the numbers are -6, -5, -4, -3 and -2. These do add up to -20, as required.
The smallest of these is -6.