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
The quadratic function: <img src="https://tex.z-dn.net/?f=y%3D-x%5E2-8x%2B1" id="TexFormula1" title="y=-x^2-8x+1" alt="y=-x^2-8x
pav-90 [236]

Answer:

  2)  (-∞, 17]

Step-by-step explanation:

The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.

The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.

  y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17

The range of the function is (-∞, 17].

8 0
2 years ago
Charlie Carr has a sheet of brass that is 33 inches wide and cuts two pieces that are each 8
denis-greek [22]

Answer: The width of the leftover brass is 17 inches.

Step-by-step explanation:

Hi, to answer this question, first, we have to add the width of the pieces cut.  

Mathematically speaking:

8 in +8 in = 16 in

Now, we have to subtract that result to the width of the sheet of brass.

33 in -16 in = 17 in

The width of the leftover brass is 17 inches.

Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
8p-5(p+3)=(7p-1)3<br> Please I really need help on this
4vir4ik [10]
The answer is p= 4.25
8 0
4 years ago
Read 2 more answers
I'm lost on this please help
Natasha2012 [34]

Answer:

integer-4

proper fraction-1/10

improper fraction-0/4

Step-by-step explanation:

do not copy in the internet

8 0
3 years ago
Hey yall i need help again im just lazy but will mark brainlyest
ElenaW [278]

Answer:  1=1 question 2 = 1 again 5-6 is the next and 4 3-10  5-6 next answer2-7  3-8 5-4 -22--9 2-29 are all the answers

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • A teacher needs 256 lengths of string cut to 40 cm each.if balls of string are 30 cm long how many balls will be needed
    7·1 answer
  • Tim and Jim are working on a school project together. If he had to work by himself, it would take
    15·1 answer
  • Is 5 feet bigger than 60 inches
    13·2 answers
  • I get stuck whit these I don’t get how to do them
    9·1 answer
  • Please help me I’m so lost
    11·2 answers
  • A factory worker can make 14 products in 45 minutes.what is the workers unit rate
    9·1 answer
  • PLEASE HELP! An organization surveyed a random sample of their employees about their new vacation policy. Out of the employees s
    12·2 answers
  • The Hernandez family budget is shown in the graph.
    12·1 answer
  • Find angle 1 and angle 2
    11·2 answers
  • A pyramid with a square base is cut by a plane that is parallel to its base and is 2 units from the base. The surface area of th
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!