wolfiechan

Happy new years!

Hello guest!

We can use the chart to help!

Since triangle BCD is isosceles with BC = DC ,  ∠DBC = ∠BDC = 70°

Since ∠BDC and ∠CDA form a straight line ^^

∠BDC + ∠CDA  =  180°

                                               Subtract  ∠BDC  from both sides of the equation

∠CDA  =  180° - ∠BDC

                                              ∠BDC = 70°

∠CDA  =  180° - 70°

∠CDA  =  110°

Since there are 180° in every triangle (as shown)

∠CDA + ∠DAC + ∠ACD  =  180°

                                                         ∠CDA = 110°

110° + ∠DAC + ∠ACD  =  180°

                                                         Since triangle ACD is isosceles with CD = AD,  ∠ACD = ∠DAC.

110° + ∠DAC + ∠DAC  =  180°

110° +       2∠DAC        =  180°

                 2∠DAC        =   70°

                   ∠DAC        =   35°  =  ∠BAC

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-wolfie

These angles will sum to  180°

that means

x  + 4x  = 180

5x  = 180

x = 36° measure of smaller interior angle Should be close

If you need a more in debt answer just ask

-wolfie

yeah sorry 

Happy late new years!!

Happy new years!

Or for where I am!

We have for the six faces the sum of the integers 1 through 7, inclusive, except for the one missing value m, and that sum is given to be 24. Therefore, 24 = 1 + 2 + 3 + 4 + 5 + 6 + 7 – m = 28 – m. So, m = 4, and the six faces are 1, 2, 3, 5, 6, 7, of which four values (2, 3, 5, 7) are prime, making the probability of rolling a prime to be 2/3. 

If you need a more in debt answer just ask

-wolfie

if I did get it wrong Hopefully someone can help you !

So guest

A radius of the biggest circle is OB   OB=OC+CB = 32+36 = 68 unitis

AO also equals 68 units.

AC= AO+OC = 68+32=100

So the radius of the middle sized circle is 50 units

KS=50

 -the area of trapezuim KSEM-

= average of the paralell sides * perpendicular height.

= 0.5( ME + KS) * ES

= 0.5( 18+ 50 ) * ES

= 34 * ES

SY=ME=18

KS = 50 = KY+YS = KY+18

so KY = 50-18=32 units.

Now KYM is a right angled triangle, t

The hypotenuse is KM = 50+18=68 units

one short side is KY = 32 units

KSEM = 34*ES = 34*60 = 2040 units squared. Im pretty sure

But I might have to double check my work but I think I got that right (I asked one of my class mates for help they said I was right)

If you need a more in debt answer just ask

-wolfie