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
iren2701 [21]
3 years ago
8

Determine the measure of the interior angle at vertex C.

Mathematics
2 answers:
Troyanec [42]3 years ago
8 0

Answer:

Angle at vertex C is equal to 120°

Step-by-step explanation:

First, we need to find the sum of its interior angle, the sum of the interior angle.

The sum of the interior angle of n-sided polygon is given as (n-2)180

Since in this case, we are dealing with a 5-sided polygon, then the sum of its interior angle will be (5-2)180=3 × 180=540

So, the sum of interior angle of a pentagon is 540

This implies; A + B + C + D + E = 540

                    3x + 4x + 4x + 4x + 3x = 540

                       18x = 540

Divide both-side of the equation by 18 to get the value of x

18x/18 = 540/18

x=30

angle at vertex C = 4x  =  4 ×  30  = 120

Therefore, angle at vertex C is equal to 120°

Nadusha1986 [10]3 years ago
7 0

Answer:

120 degrees.

Step-by-step explanation:

This is a pentagon so the interior angles add up to 540 degrees, so we have:

4x + 4x + 4x + 3x + 3x = 540

18x = 540

x =  30 degrees.

So m < C = 4*30 = 120 degrees.

You might be interested in
Frankie wanted to buy a new TV for his
Mars2501 [29]

Answer:

157.5

Step-by-step explanation:

when finding a percentage just take the percent in this case 35% and turn it into a decimal. in this case, the decimal would be 0.35. then just multiply the price and the percentage to get your answer. in this case the equation is 0.35x450=157.5

hope this helped.

5 0
3 years ago
I need help with this question
SashulF [63]
Answer:
_______________________________________________
1)  72\pi cm² / min.  ;
_______________________________________________
2)  192 \pi cm² / min.  
_______________________________________________
Explanation:
____________________________________________
     
 Area of a circle:  A = \pi r² ;

Rate of change of Area is:  da/dt = 2\pi r (dr/dt) ;

Given:  dr/dt = 3 cm / min.
______________________________________________________
 Problem 1)
____________________________________________________________
dA/dt = 2 \pi *(12 cm)*(3 cm/ min) = 72 \pi  cm² / min. ;
____________________________________________________________
 Problem 2)
____________________________________________________________
dA/dt = 2 \pi *(32 cm)*(3 cm/ min) = 192 \pi  cm² / min.
_____________________________________________________________
7 0
3 years ago
Your teacher has disabled instant marking. Your marks will appe
Oksana_A [137]

Answer:

............

Step-by-step explanation:

.............

3 0
3 years ago
Write the equation of the line that is parallel to the y-axis and passes through the point (-7, 2)QUICKEST=BRAINLIEST AND 30 Poi
Papessa [141]

x + 7 = 0

^^ LMK if you need an explanation

~theLocoCoco

6 0
3 years ago
Read 2 more answers
Which set of side lengths will NOT form a triangle?
Georgia [21]

Answer:

Its D

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • A data set of 5 observations for Concession Sales per person at a theater and Minutes before the movie begins results in the est
    14·1 answer
  • Keratin has a square tile. The perimeter of the tile is 32 inches. What is the length of each side of the tile
    6·2 answers
  • Solve for n: 5n-14&lt;1
    8·1 answer
  • There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth grader
    9·1 answer
  • I need help with these problems
    9·1 answer
  • Find missing measure
    12·2 answers
  • Subtract (5u + 6v) from (8u + 10v)
    6·2 answers
  • Is there enough information to prove that the triangles are congruent?
    8·2 answers
  • Can someone please help I will give you 30 points and brainliest if the answer is right also no links please
    9·1 answer
  • Write two expressions for the perimeter of a square. Explain what information is in
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!