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
How do you break apart the factor 42 using place values
VLD [36.1K]

Let's break apart 42.

The 4 is in the tens. The 2 is in the ones.

                           Place Value starting from Thousands

                            Thousands  Hundreds  Tens  Ones

                            _________ ________ ____ _____

                                                                       4          2

So this is how we break up numbers using place value.

Hope this helps!

5 0
3 years ago
What is the value of 2 3/4 ➗ 3/4​
Ivan

Answer:

3 2/3 is the answer

Step-by-step explanation:

Conversion a mixed number 2 3/

4

to a improper fraction: 2 3/4 = 2 3/

4

= 2 · 4 + 3/

4

= 8 + 3/

4

= 11/

4

To find new numerator:

a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4/

4

= 8/

4

b) Add the answer from previous step 8 to the numerator 3. New numerator is 8 + 3 = 11

c) Write a previous answer (new numerator 11) over the denominator 4.

Two and three quarters is eleven quarters

Divide: 11/

4

: 3/

4

= 11/

4

· 4/

3

= 11 · 4/

4 · 3

= 44/

12

= 4 · 11 /

4 · 3

= 11/

3

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/

4

is 4/

3

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 4 gives 11/

3

.

so you simplify to get 3 2/3

8 0
3 years ago
A water pitcher holds 3.5 quarts of water. How many liters of water does it hold?
DiKsa [7]
3.5 quarts = 3.31 liters
6 0
3 years ago
Read 2 more answers
Explain how finding the square root of a number is different from finding the cube root
sasho [114]
U could searc9 it up and it will help u
7 0
3 years ago
The simple interest on an investment of $8000 for one year is $360.
elena55 [62]
I = PRT
$360 = $8000 x R X 1
$360 = $8000 X R
$360/$8000 X R /$8000
0.045 = R
R= 0.045 * 100
R = 4.5%
8 0
3 years ago
Other questions:
  • The mayor of Brookmarsh is running a campaign to revitalize his city. Currently, the population of Brookmarsh is 10,000 and is i
    10·2 answers
  • (7k-4)(7k^2+4k-1) mulityply the polynomials
    10·1 answer
  • If the circumference of a certain circle of radius r is greater than the area of the enclosed circular region then
    7·1 answer
  • Is grade level qualitative or quantitative?
    8·1 answer
  • A spinner is divided into three equal sections labeled 1, 2, and 3. Another spinner is divided into four equal sections labeled
    5·2 answers
  • [[-2,10],[0,4],[4,-8],[6,-14],[9,-23]]
    10·1 answer
  • . 5, 10, 20, 40.....​
    12·2 answers
  • Charles will babysit for up to 5 hours and charges $9 per hour. Write a function in function notation to represent this problem.
    11·1 answer
  • Question 9 of 10
    10·1 answer
  • Which equation represents a circle that contains the point (-2, 8) and has a center at (4, 0)?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!