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lys-0071 [83]
2 years ago
11

Please help i need answer and explanation.

Mathematics
1 answer:
anyanavicka [17]2 years ago
6 0

Answer:

a) ∠TVZ= 95°

Step-by-step explanation:

3a) ∠STY= ∠QTV (vert. opp. ∠s)

3x°= 120°

x°= 120° ÷3

x°= 40

∠TVZ= ∠RVW (vert. opp. ∠s)

∠TVZ= (2x +15)°

∠TVZ= [2(40) +15]°

∠TVZ= (80 +15)°

∠TVZ= 95°

b) Since ∠TVZ and ∠WVZ lies on a straight line,

∠TVZ +∠WVZ= 180° (adj. ∠s on a str. line) -----(1)

∠WVZ= (2x +5)°

∠WVZ= [2(40) +5]°

∠WVZ= (80 +5)°

∠WVZ= 85°

Substitute ∠WVZ= 85° into (1):

∠TVZ +85°= 180°

∠TVZ= 180° -85°

∠TVZ= 95°

Thus, ∠TVZ is indeed 95°.

Notes:

• What is vert. opp. ∠s?

It is an abbreviation used for a property of angles, vertically opposite angles. When two lines intersect each other, the angles facing each other (or the angles on the opposite side of each other) are equal.

• What is adj. ∠s on a str. line?

It is an abbreviation for 'adjacent angles on a straight line'. The sum of all the angles on a straight line is 180°.

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tresset_1 [31]

Answer:

170

Step-by-step explanation:

The angle 42x+1 is the inscribed angle of Arc WX. This means Arc WX is twice of 42x+1.

wx = 2(42x + 1)

We can add up that and the other arcs to 360.

2(42x + 1) + 29x - 1 + 65x + 3

84x + 2 + 29x - 1 + 65x + 3 = 360

178x + 4 = 360

178x = 356

x = 2

Plug in 2 for WX.

84(2) + 2 = 170

5 0
3 years ago
Brenda took out a personal loan for $12,000 at an interest rate of 12% compounded monthly. She made arrangements to pay the loan
iragen [17]

Answer: her monthly payments would be $267

Step-by-step explanation:

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $12000

r = 0.12/12 = 0.01

n = 12 × 5 = 60

Therefore,

P = 12000/[{(1+0.01)^60]-1}/{0.01(1+0.01)^60}]

12000/[{(1.01)^60]-1}/{0.01(1.01)^60}]

P = 12000/{1.817 -1}/[0.01(1.817)]

P = 12000/(0.817/0.01817)

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7 0
3 years ago
Employee x earned $5250 in 3 weeks. at this rate how much will employee x earn in 8 weeks
iVinArrow [24]

Answer:

$14000

Step-by-step explanation:

Given parameters:

Amount earned by employee x  = $5250

Time duration  = 3weeks

Unknown:

Amount earned in 8 weeks = ?

Solution:

Let us first find the rate of employee x earning;

       Rate  = \frac{Amount earned}{Time duration}  

Insert parameters;

      Rate  = \frac{5250}{3}  = $1750/week

So,

  In 8 weeks;

      Amount earned  = rate x time duration

      Amount earned  =  $1750/week x 8weeks

      Amount earned  = $14000

8 0
2 years ago
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masha68 [24]
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8 0
3 years ago
Jason and his children went into a grocery store and will buy bananas and mangos. Each banana costs $0.90 and each mango costs $
Andrej [43]

Answer:

25 ≥ 0.90b + 2m

Step-by-step explanation:

Given:

Cost of each banana = $0.90

Cost of each mango = $2

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Find:

Inequality

Computation:

Assume;

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Number of mango = m

Total amount ≥ Cost of total banana + Cost of total mango

25 ≥ 0.90b + 2m

8 0
3 years ago
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