EF is the angle bisector of TEA find the two angle measures not given in the diagram

Answers

Answer 1

Answer: Since EF is the angle bisector of TEA, it divides the angle TEA into two congruent angles. Let's denote the measures of the angles as x.

So, the measure of angle EAF would also be x.

Now, the sum of the angles in a triangle is always 180 degrees.

From the given diagram, we have:
Angle T = 100 degrees
Angle EAF = x degrees
Angle A = 90 degrees

To find the two angle measures not given in the diagram, we can use the fact that the sum of angles in a triangle is 180 degrees.

180 = Angle T + Angle EAF + Angle A

Substituting the given angle measures:
180 = 100 + x + 90

Simplifying the equation:
180 = 190 + x

Next, we solve for x:
x = 180 - 190
x = -10

We found that x is equal to -10. However, in the context of angles, negative values are not meaningful. Therefore, we can conclude that there is no unique solution for the two angle measures not given in the diagram.

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Find the value of the variable if P is between J & K.

JP = 2x ; PK = 7x ; JK = 27

Answers

J ---- P --- K

JP = 2x
PK = 7x
JK = 27

2x + 7x = 27
9x = 27
x = 27/9
x = 3

The value of P is 3.

JP = 2x = 2(3) = 6
PK = 7x = 7(3) = 21

A jar contains 6 chocolate chip cookies and 9 peanut butter cookies. Richard grabs 3 cookies at random to pack in his lunch. What is the probability that he drew 2 chocolate chip cookies and 1 peanut butter cookie?

Answers

The answer is 0.096.

To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur.

There are in total 15 cookies in the jar:
6 chocolate chip cookies + 9 peanut butter cookies = 15 cookies

The probability to drew 1 chocolate chip cookie is: $P_1= (6)/(15) = (2)/(5)$
The probability to drew 1 peanut butter cookie is: $P_2= (9)/(15) = (3)/(5)$

In this example, we have three events occurring together:
1. The probability that he drew 1 chocolate chip cookie: $P_1= (2)/(5)$
2.The probability that he drew 1 chocolate chip cookie: $P_1= (2)/(5)$
3. The probability that he drew 1 peanut butter cookie: $P_2= (3)/(5)$

By using the multiplication rule, the probability that he drew 2 chocolate chip cookies and 1 peanut butter cookie is 0.096:
$P=P_1*P_1*P_3= (2)/(5) * (2)/(5) * (3)/(5) = (2*2*3)/(5*5*5) = (12)/(125) = 0.096$

In standard form, the number 72105.4 is written as 7.21054 × 10n where n is equal to ________.

Answers

Answer: n = 4

Step-by-step explanation:

n is always equal to the number of times 10 could be raised to so as to make a total of the number in question.

what percent of a) Rs 80 is Rs 20 ? please give answer step by step and clearly please it's urgent

Answers

Answer:

16%

Step-by-step explanation:

80/100x 20/1 = 1600/100 cut0 n d16%a

i think its 16 percent

If ∠EIG measures 54°, what is the measure of ∠EIH?a. 46°
b. 36°
c. 126°
d. 136°

Answers

your answer is C. 126 degrees

A major concern with Social Security is the possibility that funds will not be available when today’s tax-payers retire to become beneficiaries. According to the Social Security Trustee’s report, an increase of 1.89% in the Social Security payroll tax would keep the account full for the next 75 years. To achieve similar results, benefits would have to be decreased from the current 42% of the ending salary to 29% of the salary.Cindy is relatively new to the workforce. She has 32 years until she can retire. Her current annual salary is $45,000.

1a) Calculate how much Cindy will have to pay in Social Security tax (6.2%) based on this salary.
1b) Calculate how much Cindy will have to pay in Social Security tax if the tax was increased by 1.89%.

2a) Calculate Cindy’s annual Social Security benefit (about 42%) if her salary remains unchanged until she retires (annual average is $45,000).
2b) Calculate Cindy’s annual Social Security benefit if her salary remains unchanged but benefits (based on her annual salary of $45,000) were cut from 42% to 29%.

3) If Cindy were given a choice between the increase in Social Security tax now or the decrease in Social Security benefits when she retires, which would you recommend she choose? Explain your answer thoroughly.

Answers

1a) 45,000 * 6.2% = 2,790
1b) 45,000 * (6.2% + 1.89%) = 45,000 * 8.09% = 3,640.50

2a) 45,000 * 42% = 18,900
2b) 45,000 * 29% = 13,050

3) I think it would be better to have an increase in Social Security tax now and receive 18,900 as annual pension rather than the decrease in Social Security benefits when she retires.

Answer:

1a) $45,000 * 0.062 = $2,790

1b) 6.2% + 1.89% = 8.09%; $45,000 * 0.0809 = $3640.50

2a) $45,000 * 0.42 = $18,900

2b) 42% - 13% = 29% $45,000 * 0.029 = $13,050

3) You should probably recommend she pay the extra taxes now. If the tax were increased by 1.89%. Cindy would have to pay an extra $3640.50 - $2,790 = $850.50 per year for the 32 years before she retires. This adds up to $27,216 over the length of 32 years. On the other hand, if benefits were decreased from 42% of her salary to 29% of her salary the time of Cindy’s retirement (approximations), she would receive $18,900 - $13,050 = $5,850 less per year after she retires. This adds up to $58,500 in just 10 years.

Step-by-step explanation:

This is the answer they have given me.

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