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
postnew [5]
3 years ago
9

What is the value of a in the diagram below?​

Mathematics
1 answer:
adell [148]3 years ago
7 0

Answer:

a=8

Step-by-step explanation:

We can use ratios of similar triangles to solve

The smaller triangle has sides a and 12  and the larger triangle has sides a+a+4  and 12+18  which combine to 2a+4  and 30

a               2a +4

--------- = -----------

12            30

Using cross products

30a = 12(2a+4)

30a = 24a +48

Subtract 24a from each side

30a -24a = 24a-24a +48

6a = 48

Divide each sdie by 6

6a/6 =48/6

a =8

You might be interested in
Identify the property in this equation: (7th Grade Math) 3 + [7 + (–4)] = (3 + 7) + (– 4)
Gre4nikov [31]

Answer:

Associative Property

Step-by-step explanation:

The brackets moved, so it would be associative

3 0
3 years ago
A box plot is also known as a(n) box-and-whisker plot. Use the box plot below to find each of the following.
VLD [36.1K]

Answer:

the min is 53 the max is 90 median is 65 first  quartile  is 60 and the third quartile is 82

Step-by-step explanation:

3 0
3 years ago
Is the answer A B C or D <br> This is 6th grade math need it ASAP
olasank [31]

First seperate the irregular shape into 2 regular shapes, by splitting the yellow part down the middle horizontally we get 2 obtuse triangles. Then we just need to find the area of both, to do this we just need base and height, this is 24 in base 15 in height

the area of each half is 180 square inches

180 + 180 = 360

the answer is A 360 square inches

8 0
3 years ago
Please help and please dont send a link of the answer to a website :)
Nesterboy [21]

Answer:

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Need help with these 3 questions please explain how you do It. Thx!
Ilya [14]
1. Observe that the f(t) is change by 4 per time t => there's a acceleration of 4 => f''(t) = 4;  Take the derivative of it we can get a velocity function. f'(t) = 4t + c. Since the velocity from 100 to 80 is -20 (average), this means at t = 0, f'(0) = -22 => f'(t) = 4t - 22; Take the derivative again to get the position function: f(t) = 2t^2 - 22t + d, here d = 100 should be trivial. So, the function that models the relationship is    f(t) = 2t^2 - 22t + 100.

2. By the compound interest formula:
    A = P (1 + r/n)^(nt) , since it's yearly, so n = 1;
    results A(t) = 100 (1+0.12)^t.

3. The average rate of change is basically finding the slope, m = y1 - y2 / x1 - x2.
4 0
3 years ago
Other questions:
  • What is the difference?<br>​
    12·1 answer
  • What is the product? (negative 3 s + 2 t)(4 s minus t)
    14·2 answers
  • five times the difference of a number and three is the same as three increased by five times the number plus 3 times the number
    7·1 answer
  • What is 4x+3x like terms
    13·2 answers
  • 50 POINTS AND BRAINLIEST! What is the area of this figure?
    10·2 answers
  • How many 3 digit numbers have exactly 2 digits that are the same
    8·1 answer
  • Between 1.23 and 1.90
    5·1 answer
  • Which of the following is the solution to this system of equations?
    10·1 answer
  • Raziel walks 3 m north, 5 m east, 3 m south, and 5 m west. What is the total distance Raziel traveled? (Include
    6·1 answer
  • The ratio of boys to girls in Mr. Woods class is 5:7.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!