What is the measure of angle A ?
what is the measure of angle B ?

Answers

Answer 1

Answer:

Answer:

$\angle\,A=72^o\n\angle\,B=108^o$

Step-by-step explanation:

Notice that buy construction of a parallelogram,the angles $\angle \,A$ and $\angle \,C$ must equal each other. Then, based on the info given, we can write the following equation:

$3\,y+27^o=5\,y-3^o\n27^o+3^o=5\,y-3\,y\n30^o=2\,y\ny=15^o$

Then, angle $\angle \,A$ = $5\,(15^o)-3^o=72^o$ which is also equal to angle B

and since the addition of all internal angles of the parallelogram must equal $360^o$ , then:

$B+D=360^o-72^o-72^o=216^o$

and therefore, since $\angle \,B$ and $\angle \,D$ must be equal, then:

$\angle\,B=(216^o)/(2) =108^o$

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The equation of a line is x + 5y = 12. What is the y-intercept of the line? a. 12 b. 512 c. 125 d. −12

Answers

Answer:

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 5y = 12 ( subtract x from both sides )

5y = - x + 12 ( divide through by 5 )

y = - $(1)/(5)$ x + $(12)/(5)$ ← in slope- intercept form

with y- intercept c = $(12)/(5)$

FUTA tax is paid A. only weekly. B. by an employee. C. by the employer. D. by both the employee and the employer.

Answers

Answer:

C. by the employer.

Step-by-step explanation:

The Federal Unemployment Tax Act or FUTA is a payroll tax, paid by the employers on employee wages.

These are paid annually or quarterly to fund for the unemployment benefits that are helpful for employees who lose their jobs.

Hence, the answer is : FUTA tax is paid by the employer.

The only one that pays the FUTA (Federal Unemployment Tax Act) is the employer.

A figure skater needs a total score of at least 90 to move on to the next round. The total score is the average of four judges’ scores. The first three judges’ scores were 83, 88, and 92. The figure skater made it to the next round. What is the minimum score the fourth judge could have given? Enter your answer in the box.

Answers

It would be 83+88+92+x/4 = 90

263 +x = 360

x = 360-263

x=97

Answer:

97 :)

Step-by-step explanation:

A textbook company will ship a box of textbooks to college students. The weight of the box in pounds can be determined by the function w(x) = 7.5x + 2, where x is the number of textbooks in the box. The company requires a student to order at least 2 books but not more than 6 books. What is the range of the function for this situation? *A. 2 ≤ x ≤ 6
B. 17 ≤ y ≤ 47
C. {17, 24.5, 32, 39.5, 47}
D. {2, 3, 4, 5, 6}

Answers

The range of the function for this situation is 17 ≤ w ≤ 47

An equation is an expression used to show the relationship between two or more variables.

Let x represent the number of textbooks in the box

The company requires a student to order at least 2 books, hence:

x ≥ 2.

w(2) = 7.5(2) + 2 = 17

Also they do not require more than 6 books, hence:

x ≤ 6

w(6) = 7.5(6) + 2 = 47

The range of a function is the set of possible dependent variables.

Hence, the range of the function for this situation is 17 ≤ w ≤ 47

Find out more on range at: brainly.com/question/14145389

Answer:

I think its D

Step-by-step explanation:

It's obviously not A, because A has an x instead of y. B makes no sense because the range is 2-6. C makes no sense. D is the only logical answer.

Multiply.
–8 ∙ 1.2
a. –96
b. –9.6
c. 9.6
d. 96

Answers

-8 * 1.2 = -9.6
first see if the the two numbers have the same signs or different signs, since this equation has different signs the answer will be negative.So now the last thing you have to do is multiply 8 by 1.2 which is 9.6 .now all you do is add the negative sign so now your answer is -9.6

-8•1.2=-9.6Awnser=B

The measurement of one angle of a right triangle is 42°. What is the measurement of the missing angle?

Answers

All triangles have 3 angles that add up to 180 degrees.
All right angle triangles have a 90 degree angle.
You have two angles, 90 and 42.
To find the last one, add 90 and 42. Then subtract that from 180 degrees.

90+42=132
180-132=48

Therefore, the missing angle is 48 degrees.

Answer:

48°

Explanation:

42 + 90 = 132

because all triangle angles add up to 180°, then:

180 - 132 = 48°

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