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
horrorfan [7]
3 years ago
11

I need help very important

Mathematics
1 answer:
siniylev [52]3 years ago
4 0

Answer:

∠ EFG = 83°, ∠ GCE = 97°

Step-by-step explanation:

Since FE and FG are tangents to the circle then

∠ FGC and ∠ FEC are right angles

The sum of the angles in quadrilateral CEFG = 360°

Sum the 4 angles and equate to 360

3x + 11 + 90 + 5x - 23 + 90 = 360, that is

8x + 168 = 360 ( subtract 168 from both sides )

8x = 192 ( divide both sides by 8 )

x = 24

Thus

∠ EFG = 3x + 11 = 3(24) + 11 = 72 + 11 = 83°

∠ GCE = 5x - 23 = 5(24) - 23 = 120 - 23 = 97°

You might be interested in
What is the simplified form of the following expression? Assume
HACTEHA [7]

Answer:

yes a

Step-by-step explanation:

4 0
3 years ago
Simplify (5x^2 -3x+3) - (x^2+2x-1).
Natali [406]
Eliminate parenthesis by using the distribution property

= 5x² -3x +3 - x² - 2x +1

Group similar terms

= (5-1)*x² + (-3 -2)*x + (3+1)

Then sum everything:

= 4x² -5x +4





7 0
3 years ago
Read 2 more answers
Solve the equation. Check the solution.<br> 1/2(2x-1)= -1/9 -7/9
Thepotemich [5.8K]

Answer:

hope this can help you (^^)

3 0
3 years ago
Use change-of-base formula to find three significant digits log^6 120
Paladinen [302]
I suppose that  when you write "log^6" , you want to say log₆

Change of base formula:
loga b=logc b / logc a

log₆ 120=ln 120 / ln 6=2.67

Answer: log₆ 120=2.67
7 0
3 years ago
A square base of a pyramid has dimensions 5 yards by 5 yards. The height of one of the triangular faces is 12 yards. How can you
siniylev [52]

A square pyramid has 4 triangles and the square base.

Calculate the area of one triangle, multiply that by 4 then add the area of the base.

Area of triangle = 1/2 x base x height = 1/2 x 5 x 12 = 30 square yards.

30 x 4 = 120 square yards

Area of base = 5 x 5 = 25 square yards

Total = 120 + 25 = 145 square yards.

7 0
3 years ago
Other questions:
  • What is the inverse of 5x-1
    6·1 answer
  • The current temperature in Smalltown is 20°F. This is 6 degrease less than twice the temperature that it was six hours ago. What
    12·1 answer
  • There are 30 bicycles and 10 cars parked in the parking lot. Each bicycle had two wheels and each car had four wheels. How many
    15·2 answers
  •  A construction contractor is purchasing granite tiles for a new kitchen floor. Each tile costs $5 and he wants to spend less th
    10·1 answer
  • Anyone know the answer to this algebra problem?
    11·1 answer
  • Fine the area of a circle that has a diameter of 12 inches A=3.14r2
    12·1 answer
  • Javier designs leather shoes at his workshop. He charges $45 for women's shoes and $50 for men's shoes. He needs to make $2,500
    12·1 answer
  • PLEASE HELP ME I HAVE NO IDEA HOW TO DO THIS AND I HAVE AN F IN MATH!<br>pythagorean theorem ​
    6·1 answer
  • if you pick randomly from 4 card with the numbers 5678 what is the probability that you will get the card numbered 7
    11·2 answers
  • PLS HELP ITS DUE IN 5 MINUTES​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!