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Nata [24]
3 years ago
15

B(n)=-8-2(n-1) Find the 9th term

Mathematics
1 answer:
TEA [102]3 years ago
8 0

Answer:

The 9th term will be -24

Step-by-step explanation:

The 9th term will be equal to

b_{n} = - 8 - 2(n - 1)

b_{9} = - 8 - 2(9 - 1)

b_{9} = - 8 - 18 + 2

b_{9} = - 24

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2800m2

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3 years ago
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Answer the Blanks:
vfiekz [6]

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

m\angle ADC=90^{\circ}

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

m\angle CDB=90^{\circ}

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

m\angle A+m\angle ADC+m\angle ACD=180^{\circ}\\ \\50^{\circ}+90^{\circ}+m\angle ACD=180^{\circ}\\ \\m\angle ACD=180^{\circ}-50^{\circ}-90^{\circ}=40^{\circ}

4. By Angle Addition Postulate,

m\angle ACD+m\angle BCD=m\angle ACB\\ \\40^{\circ}+m\angle BCD=85^{\circ}\\ \\m\angle BCD=85^{\circ}-40^{\circ}=45^{\circ}

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

m\angle A+m\angle ACB+m\angle B=180^{\circ}\\ \\50^{\circ}+85^{\circ}+m\angle B=180^{\circ}\\ \\m\angle B=180^{\circ}-50^{\circ}-85^{\circ}=45^{\circ}

6 0
3 years ago
A jar contains 900 beans. Of them, 700 are white beans and the rest are navy beans. What ratio of white beans to all the beans
Nikolay [14]

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

5 0
3 years ago
0.23 divided by 5.05 explain with steps
Elden [556K]

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

3 0
3 years ago
I need the answers for these please
Luda [366]
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

8 0
4 years ago
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