1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Harlamova29_29 [7]
4 years ago
7

If k is parallel to l find the value of a and the value of b.

Mathematics
1 answer:
kipiarov [429]4 years ago
3 0

Answer:

a = 30

b = 40

C

Step-by-step explanation:

This requires that you use a proportion.

a / (a + 15) = 40 / 60

The small triangle's sides are in proportion to the large triangles sides.

Reduce the right. Divide top and bottom by 20

a/(a + 15) = 40/20 // 60/20

a/(a + 15) = 2/3                    

Cross multiply

3a = 2(a + 15)            Remove the brackets on the right.

3a = 2a + 30

Subtract 2a from both sides

3a-2a = 30

a = 30

Find B

b is done exactly the same way.

b/(b+20) = 2/3

3b = 2b + 40

3b - 2b = 40

b = 40

You might be interested in
Angle x =<br> angle y =
Bezzdna [24]
X-54
Y- 36

180-126 to find x
And 54+ y= 90
8 0
3 years ago
Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. I
Elden [556K]

Answer:

Time = 11\frac{2}{3}\ min

Step-by-step explanation:

Given

Security\ A = 2\ mins, 20\ secs

Security\ B = 1\ mins, 40\ secs

Required

After how many minutes, will they round together

First, convert the given time to minutes

Security\ A = 2\ mins, 20\ secs

Security\ A = 2\ mins+ 20\ secs

Security\ A = 2\ mins+ \frac{20}{60}\ min

Security\ A = 2\ mins+ \frac{1}{3}\ min

Security\ A = 2\frac{1}{3}\ min

Security\ B = 1\ mins, 40\ secs

Security\ B = 1\ mins+ 40\ secs

Security\ B = 1\ mins+ \frac{40}{60}\ min

Security\ B = 1\frac{2}{3}\ min

So, we have:

Security\ A = 2\frac{1}{3}\ min

Security\ B = 1\frac{2}{3}\ min

List out the multiples of the time of both security personnel take round.

Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...

Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...

In the above lists, the common time is:

Time = 11\frac{2}{3}\ min

<em>This implies that they go on round after </em>11\frac{2}{3}\ min<em></em>

4 0
3 years ago
Pleaseer❤️❤️ help me
defon

Answer:

1)D 2)C 3)A 4)B 5) A

Step-by-step explanation:

1) The area rectangle is 36x^2 -1

We know ,

A= l*b

=36x^2 -1

=(6x)^2 -1

=(6x+1) (6x-2)

This the value of l,b respectively.

So, Perimeter of rectangle is 2(l+b)

P=2(6x+1) + 2(6x-1)

=24x

2)The area of square is 4(x+5)^2

We know,

A=l^2

=4(x+5)^2

=4(x^2 + 10x + 25)

=(2x+10)^2

This is the value of l=2x+10.

So, Perimeter of square is 4l

P=4(2x+10)

=8x+40

3)The fully factorized form is

= -2x^2 + 10x +12

= -2x^2 + 12x -2x +12

= -2x(x-6) -2(x-6)

= -2(x-6) (x+1)

4)The fully factorized form is

=x^4 -81

=(x^2)^2 -9^2

=(x^2 + 9) (x^2 - 9)

=(x^2 + 9) (x^2 - 3^2)

=(x^2 + 9) (x + 3) (x - 3)

5)The fully factorized form is

= 5x^4 - 320

= 5(x^4 - 64)

= 5((x^2)^2 - 8^2)

= 5(x^2 + 8) (x^2-8)

8 0
4 years ago
What. is What is 3/4÷1/8? explain how u know
Sliva [168]

Answer:6

Step-by-step explanation:

5 0
3 years ago
Serena counts her calories over several days. What is her total caloric intake given these values: 1,405; 1,219; 1,119; 1,353.
ki77a [65]
You would do 1405+1219+1119+1353=5096 and divide that by four which is 1274
8 0
4 years ago
Read 2 more answers
Other questions:
  • You are responsible for placing crates for the next day on the production floor. Each crate can hold 24 cartons of paper. Tomorr
    13·2 answers
  • A store owner buys a total of 4,000 items for two different products. for shipping costs, it is $0.10 per item of product a and
    14·1 answer
  • If you plot the point -8.85 on a number line, would you place it to the left or the right of -8.8? Explain.
    10·1 answer
  • Eduardo spent 35% of his time at the theme park on roller coasters.If he was there for 8 hours, how much time did he spend on ro
    7·1 answer
  • Area between two shapes. Geometry IXL pls help !
    11·2 answers
  • Simplify the expression (3xy-3/5x-2y2)2
    8·1 answer
  • Which line has a slope of 0?<br> O 2y + 8x = 0<br> Oy= -1<br> O x=0<br> O y = x - 1
    6·1 answer
  • A math test has a total of 25 problems. Some problems are worth 2 points and some are worth 4 points. They add up to 60 points.
    5·1 answer
  • Hey guys I need some help. Question in the image below
    12·1 answer
  • Please help me- i need this question asap
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!