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damaskus [11]
4 years ago
14

If the angles of a triangle are in the ratio 3:4:2 find the value of all triangle​

Mathematics
1 answer:
Nata [24]4 years ago
6 0

Answer:

Step-by-step explanation:

If the ratio of triangle = 3:4:2

Total ratio = 3+4+2 = 9

The sum of angle in a triangle is 180°

1st angle= 3/9 × 180 = 2 × 20 = 60°

2nd angle= 4/9 × 180 = 4 × 20 = 80°

3rd angle= 2/9 × 180 = 2 × 20 = 40°

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If x = 1 is a common root of ax² +ax + 2 = 0 and x² + x + b = 0 , then ab =
vodka [1.7K]

Answer:

ab = 2

Step-by-step explanation:

Given equations

ax² +ax + 2 = 0

x² + x + b = 0

root of both the equation

x= 1

then we can plug in x = 1 in both the equation

ax² +ax + 2 = 0                        x² + x + b = 0

a*1² +a*1 + 2 = 0                        1² + 1 + b = 0

a +a + 2 = 0                                 1 + 1 + b = 0

2a + 2 = 0                                    2 + b = 0

2a = -  2                                         b = -2

a = -2/2 = -1

Thus,

a = -1

b = -2

a*b = -1*-2 = 2

ab = 2

6 0
3 years ago
Can someone give me the best broken down way to solve these questions?
sdas [7]

Answer:

6 inches.

Step-by-step explanation:

Set up a proportion and solve for the missing variable.

\frac{2}{5}=\frac{x}{15}\\\\15(\frac{2}{5})=15(\frac{x}{15})\\\\6=x

7 0
3 years ago
Solve each of the following inequalities for x. a. 3 + x > 8 b. x + 12 < 10 c. x – 23 > 15 d. x – 49 <6
krek1111 [17]

Answer:

a.

x > 5

b.

x < -2

c.

x > 38

d.

x < 55

8 0
3 years ago
Read 2 more answers
Mathhh help!!!!!!!!!!!!!!!!!
Alona [7]
4% = 0.04

240,000 * 0.04 = $9,600
6 0
3 years ago
Arla and kal both work in jobs where they get paid by the hour in their first week on the job they each worked 40 hours and toge
valkas [14]

Question is Incomplete;Complete question is given below;

Arla and kal both work in jobs they get paid by the hour in their first week on the job they each worked 40 hours and together there total earnings were $1300 in their second week on the job business was slow so arla worked 20 hours and kal worked 16 hours their total pool earning was $580 what is each persons hourly wage.

Answer:

The hourly wage of Arla is $15 and hourly wage of Kal is $17.5.

Step-by-step explanation:

Let the hourly wage of Arla be 'x'

Also Let the hourly wage of Kal be 'y'

Now Given:

first week on the job they each worked 40 hours and together there total earnings were $1300

So we can say that;

40x+40y=1300   ⇒ equation 1

Also Given:

Number of hours worked by Arla in second week = 20

Number of hours worked by Kal in second week = 16

Total Money earned in second week = $580

So we can say that;

20x+16y=580   ⇒ equation 2

Now Multiplying equation 2 by 2 we get;

2(20x+16y)=580\times2

Applying Distributive property we get;

40x+32y =1160   ⇒ equation 3

Now Subtracting equation 3 from equation 1 we get;

(40x+40y)-(40x+32y)=1300-1160\\\\40x+40y-40x-32y=140\\\\8y=140

Now Dividing both side by 8 we get;

\frac{8y}{8}=\frac{140}{8}\\\\y= \$17.5

Now Substituting the value of y in equation 1 we get;

40x+40y=1300\\\\40x+40\times17.5 =1300\\\\40x+700=1300\\\\40x=1300-700\\\\40x=600\\\\x=\frac{600}{40}\\\\x=\$15

Hence The hourly wage of Arla is $15 and hourly wage of Kal is $17.5.

5 0
4 years ago
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