Answer:
1. 90°
2. 90°
3. 40°
4. 45°
5. 45°
Step-by-step explanation:
<u>Given:</u> ΔABC,
CD⊥AB,
m∠A=50°,
m∠ACB=85°
<u>Solution:</u>
1. ∠ADC is a right ange, because CD⊥AB, so

2. ∠CDB is a right ange, because CD⊥AB, so

3. Consider triangle ACD. The sum of the measures of all interior angles is always 180°, so

4. By Angle Addition Postulate,

5. Consider triangle ABC. The sum of the measures of all interior angles is always 180°, so

Answer:
700/900
Step-by-step explanation:
There are 900 beans in total.
There are 700 white beans
The ratio of white beans to all the beans is 700/900 or 700:900
Answer:
Step-by-step explanation:
\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:100
\mathrm{Multiply\:the\:quotient\:digit}\:\left(0\right)\:\mathrm{by\:the\:divisor}\:505
\mathrm{Subtract}\:0\:\mathrm{from}\:23
11.p=-8, 17-8=9
12.y=11, 3*11=33+16=46
13.t=4, 4*4=16-14=2
14.x=9, -9x 9*8=82-9=72-9=62
15.z=4, 12*4=48-18=30
16.g=0, 4*0=0, 7+0=7
17.x=4, 9*4=36-24=-3
18.q=3, 18*3=48+2=50
19.c=2, 3*2=6-4.5=4.1
20.y=4, 9+4=13+4.8=17.4