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
frozen [14]
2 years ago
8

Angle sum theorem ??

Mathematics
1 answer:
lianna [129]2 years ago
8 0

Answer:

x = 30°

Step-by-step explanation:

Hello!

The sum of angles in a triangle is 180°. Please, please, remember this, as it will help you along the road in geometry, and is one of the basic rules in triangle theorems.

Assuming that the altitude of the triangle and the bottom ray is perpendicular, the angle next to the 60° angle is 90° or a right angle.

So, taking the left triangle (as both triangles are the same):

  • 60° + 90° + x° = 180°
  • x° = 30°

The value of x is 30°

This can be confirmed by looking at the big triangle, with the base angles of 60°.

Using the same angle rule:

  • 60° + 60° + x° + x° = 180°
  • 2x° = 60°
  • x° = 30°

The value of x is 30°

You might be interested in
Simplify the algebraic question 3(2x+5)-4
saul85 [17]
6x+15-4
6x+11
Hope this helps
6 0
3 years ago
I need a little help here please
erma4kov [3.2K]

Answer:

Plot points at (0,1) and (-3,3) and draw a line going through both points.

Step-by-step explanation:

Let's start by graphing the y intercept.

y=mx+b

m is the slope. b is the y intercept. Since the equation is y=-2/3x+1, we can conclude the y intercept is 1. We graph a point at (0,1).

If you didn't know the y intercept is where the line intercepts the y-axis.

Now, from the point (0,1) we go up 2 and to the left 3 as it is a negative slope. We reach (-3,3). Plot a point there. Then draw a line going through both points. There's your line!

3 0
2 years ago
Three friends went apple picking and then counted the apples they picked.Who had the largest red to green apple ratio? Use compl
antoniya [11.8K]

Answer:

Carmen had the largest red to green apple ratio of 5 : 3

Step-by-step explanation:

Red apples : Green apples

Carmen = 20 red apples : 12 green apples

= 20 / 12

= 5 / 3 = 1.67

= 5 : 3

Dylan = 12 red apples : 10 green apples

= 12 / 10

= 6 / 5 = 1.2

= 6 : 5

Eli = 16 red apples : 20 green apples

= 16 / 20

= 4 / 5 = 0.8

= 4 : 5

Carmen had the largest red to green apple ratio of 5 : 3

7 0
3 years ago
There are 20 parrots at the animal sanctuary. Their population is increasing at a rate of 15% per year. There are also 24 snakes
worty [1.4K]
For the answer to the questions above,
A) Parrots are following a Geometric Progression of 15% increase.

20(1.15),  20(1.15)², 20(1.15)³,

Function  = 20(1.15)^n      Where n is at the end of year, n =1, 2, 3, ..

Snakes are increasing by 4.

28, 32, 36,....

Function =  24 + 4n          n = number of end year,      n =1, 2, 3,...

<span>B) After 10 years:              </span>
Parrot =  20(1.15)¹⁰    = 80.91115471

Snakes =  24 + 4(10) = 64

<span>C) After what time they are the same: </span>
We use trial and error:


Test:  n                             20(1.15^n)                        (24 + 4n)
          1                                    23                                   28
          2                                    26.45                              32
<span>          3                                    30.41                             36    </span>
          4                                    34.98                              40
          5                                    40.23                              44
          6                                    46.26                              48
          7                                    53.20                              52
          8                                    61.18                              56
          9                                    70.36                              60

After year 7, the Parrots increases far more.
<span>At year 7 they are roughly the same.</span>
8 0
3 years ago
What is the answer please help
hram777 [196]

Answer:

B: 22.5 degrees

Step-by-step explanation:

The interior angles of a pentagon add up to 540 degrees

(if you dont believe me you can turn a pentagon into three triangles, 3x180 = 540)

So you have four same angles say measure "x" degrees, and one final one that measures "5x" degrees, so 9x = 540, and x = 60

Unless I read the problem wrong, 60 degrees is the answer which is not an option :P

Edit: Yea I read it wrong, the final angle is 5 times the other four angles COMBINED, so that angle measures "20x" degrees.

The total would be 24x = 540, and so x = 22.5

4 0
3 years ago
Other questions:
  • M U + m S =90° m T + m S =90° what is the reqson
    15·1 answer
  • -6/5 divided by 12/25
    12·1 answer
  • Suppose the top surface of a balance beam is 16 feet 5 inches long and 3.9 inches wide. Find the area of the top surface of the
    9·1 answer
  • Convert y=9 from rectangular to polar form
    7·2 answers
  • Screenshot below
    8·2 answers
  • Complete the factored form.<br> 45x2 + 6x - 7 = (3x - 1)( )
    6·1 answer
  • The first time that Arnold ran for mayor in a small town, he received 5% of the votes. This year, when Arnold ran for mayor agai
    14·1 answer
  • Please help will give Brain for it!!
    9·1 answer
  • 1. A principal of $6,325 is placed in an account that earns 3.5% interest. If the interest is
    12·1 answer
  • Find the MEDIAN for both Science and Math.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!