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photoshop1234 [79]
2 years ago
10

In ΔCDE, m∠C = (9x+11)^{\circ}(9x+11) ∘ , m∠D = (3x-15)^{\circ}(3x−15) ∘ , and m∠E = (2x+16)^{\circ}(2x+16) ∘ . What is the valu

e of x?
Mathematics
1 answer:
Ksivusya [100]2 years ago
5 0

Answer:

x = 12

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

9x + 11 + 3x - 15 + 2x + 16 = 180, simplify left side

14x + 12 = 180 ( subtract 12 from both sides )

14x = 168 ( divide both sides by 14 )

x = 12

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A quality control inspector has determined that 0.25% of all parts manufactured by a particular machine are defective. If 50 par
Arlecino [84]

Answer:

9.941*10^-6

Step-by-step explanation:

Probability of at most 1 means not more than 1 defective= probability of 1 or probability of 0

Probability of 1 = 50C1(0.25)(0.75)^49

Probability= 50(0.25)*7.55*10^-7

Probability= 9.375*10^-6

Probability of 0

= 50C0(0.25)^0(0.75)^50

= 1(1)(0.566*10^-6)

= 0.566*10^-6

Total probability

= 9.375*10^-6+ 0.566*10^-6

= 9.941*10^-6

4 0
3 years ago
When Kevin bought a new bike ramp, he borrowed $1,200 at a rate of 18% for 9 months. How much interest did he pay?
AURORKA [14]

We would apply the formula for determining simple interest which is expressed as

I = PRT/100

I is the interest

P is the principal or initial amount

R = interest rate

T = time in years

From the information given,

P = 1200

r = 18

Since there are 12 months in a year,

T = 9/12 = 0.75

Thus,

I = (1200 x 18 x 0.75)/100

Interest = $162

7 0
1 year ago
At the school carnival 14 out of 56 tickets sold where early admission tickets. What percentage of the ticket or early admission
cestrela7 [59]

Step-by-step explanation:

14/56×100=25%

14 early admission tickets/total tickets×100= percentage of early admission tickets

H

8 0
2 years ago
Round your answer to the nearest hundredth.<br> с<br> B<br> 40°<br> ?<br> 7<br> А
igor_vitrenko [27]

Answer:

take 40 degree as reference angle

using sine rule

let opposite be x

sine 40=opposite/hypotenuse

0.64=x/7

0.64*7=x

4.48=x

Step-by-step explanation:

3 0
3 years ago
There are 276 calories in 6 ounces of chicken. How many calories are in 1 pound of chicken
Mandarinka [93]
There would be 46 calories in one pound of chicken.

Just divide 276 and 6.

Hope I helped. :)
5 0
3 years ago
Read 2 more answers
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