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
PIT_PIT [208]
3 years ago
5

The base of a triangle is seven more than twice the height. The area of the triangle is 135 square meters. Find the measures of

the base and height of the triangle.
Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

Answer:

Height = 10 m

Base = 27 m

Step-by-step explanation:

The base of a triangle is seven more than twice the height

The area of the triangle is 135 m²

Height = x

Base = 2x + 7

Area of a triangle = \frac{1}{2} × base × height

∴

\frac{1}{2} × (x) × (2x + 7) = 135

2x² + 7x - 270 = 0

Applying the quadratic formula we get;

x = 10 or -13.5

Since we can't have a length being negative, the height of this triangle is 10 m

The base = 2(10) + 7 = 27

You might be interested in
PLEASE HELP SOLVE THIS!!!!!!!!!!!
Sphinxa [80]

9514 1404 393

Answer:

  a) yes; 12/15/17 ~ 20/25/x; SAS

  b) x = 28 1/3

Step-by-step explanation:

The left-side segments are in the ratio ...

  top : bottom = 12 : 8 = 3 : 2

The right side segments are in the ratio ...

  top : bottom = 15 : 10 = 3 : 2

These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.

Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:

  12/15/17 ~ 20/25/x

__

The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:

  x = 17/12 · 20 = 340/12

  x = 28 1/3

4 0
3 years ago
Find the distance between points P(5, 1) and Q(1, 3) to the nearest tenth.
bonufazy [111]

Answer:

Idk if its multiple choice but you can do 1 of 2 ways theres using distance formula =√(5-3)sq+(1-4)sq

=√4+9

=√13 <--

or

3.6 units

Given: The two points that are P(5,1) and Q(3,4).

To find: The distance between these two points.

Solution: It is given that there are two points that are P(5,1) and Q(3,4).

The distance between these two points can be found out as using the distance formula that is: 3.6

Thus, the distance between the given two points is 3.6 units.

So you choose 13 or 3.6 Hope this helps :)

3 0
3 years ago
AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify tha
GenaCL600 [577]
The smaller side is 4 units going from point (2,2) to point (6,6) while the biger side is 8 units long going from point (6,6) to point (14,14). So 4 is 1/2 of 8 therefore there is a 1:2 ratio because of 4:8
5 0
4 years ago
Read 2 more answers
For a spear with a radius of 8 what is the surface area​
UkoKoshka [18]
Solution
A=4πr2=4·π·82≈804.24772
Approximately = 804.25
6 0
3 years ago
2x-5y=3 4y-x=-3 solve by elimination
loris [4]

Answer:

x = -1 and y = -1

Step-by-step explanation:

to solve this equation we say

let

2x-5y=3.......................................... equation 1

4y-x=-3............................................equation 2

from equation 2

4y-x=-3............................................equation 2

4y + 3 = x

i.e

x = 4y + 3 .............................................  equation 3

put x = 4y + 3 in equation 1

2(4y +3) - 5y = 3

8y + 6 -5y = 3

3y +6 = 3

3y= 3-6

3y -3

divide both sides by the coefficient  of y  which is 3

3y/3 = -3/3

y = -1

put y = -1 into equation 3

x = 4y + 3 .............................................  equation 3

x = 4(-1) + 3

x = -4 + 3

x = -1

therefore the value of x = -1 and y = -1 respectively

4 0
3 years ago
Other questions:
  • Reduce to simplest form.
    11·1 answer
  • How much should you invest at 4% simple interest in order to earn $50 interest in 6 months
    5·1 answer
  • Which one is bigger 2/3 or 7/8
    13·2 answers
  • (-12a^3b^5)/(4a^2b^7)
    14·1 answer
  • How to find the volume of a cylinder <br>​
    9·2 answers
  • A drawer contains 16 socks: 10 black, 4 brown, and 2 blue. Once a sock is taken from the drawer, it is NOT REPLACED before the n
    13·2 answers
  • Which of the following expressions are equivalent to 4x-6+8x+2
    10·2 answers
  • Find 25% of a pair of AirForce1's that cost $100.
    11·2 answers
  • Which quotient shows the decimal placed correctly?
    9·1 answer
  • all you need is in the photo please answer fast please helpppppp DON'T DO STEP BY STEP PUT ONLY THE ANSWER PLEASEEEEEEEEEEEEEEEE
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!