All categories

3 years ago

Find the measure of ∠FEG. A) 25° B) 65° C) 80° D) 90°

Mathematics

2 answers:

Gnom [1K]3 years ago

8 0

Answer:

B) 65*

Step-by-step explanation:

MissTica3 years ago

6 0

First, you have to set 5x equal to (3x+10). They are vertical angles and therefore congruent.

5x = 3x+10 The variable should only be on one side of the equation,

5x - 3x = 10 Therefore subtract 3x from both sides

2x = 10 Divide by 2 on both sides.

x = 5

We're not done yet, since we've found the x-value we have to solve for ∠GEC.

∠GEC = 3x+10 = 3(5)+10 = 15+10 = 25°

∠GEC and ∠FEG form a right angle. This means that the sum of the two angles is 90°

90° = 25° + x In this case, we're using "x" to solve for ∠FEG

90-25 = x We subtract 25 from both sides to get the variable by itself.

65° = x

<h2>∠FEG = 65° The Answer is B</h2>

You might be interested in

the ratio of the number of adults to the number of students at the prom has to be 1:10 lat year there were 477 more students tha

maksim [4K]

You would divide 10 into 477 to get 47.7, but you can't put 47.7 because you can't have a decimal. The answer is 47

8 0

3 years ago

What is the term-to-term rule for this sequence?<br> 64, 32, 16, 8, 4

just olya [345]

Answer:

a n=1/2 an - 1

Step-by-step explanation:

64,32,16,8,4. is a geometric sequence. this is a sequence where, to get from one term to the next, there is a number that you have to multiply it by. this is the same for all parts of the sequence.

4 0

3 years ago

1.3 lesson help please

Airida [17]

Answer:

1. 125

2. 25

3. 40

4. 39

First question:

(15-10)^2 + (15-5)^2

parentheses first to get 5^2 + (15-5)^2

exponents next to get 25 + (15-5)^2

parentheses again 25 + 10^2

exponents again 25 + 100 = 125

Second question:

simplify the exponents (3 *3) + (4 * 4) + (2 * 2) to get 9 + 16 + 4 = 29

Third question:

simplify in the parentheses 6 1/7 - 1/7 = 6

divide 60 by 6 to get 10

multiply 10 by 4 to get 40!

Fourth question:

simplify the fractions to get 1/3 + 8/3 = 3

multiply the 3 by 13 to get 39

7 0

2 years ago

Read 2 more answers

What is the solution to log (9x)-log2^3= 3?

olga_2 [115]

For this case we have that by definition of properties logarithm is met:

$log_ {b} (x) -log_ {b} (y) = log_ {b} (\frac {x} {y})$

So, rewriting the expression we have:

$log (\frac {9x} {2 ^ 3}) = 3\\log (\frac {9x} {8}) = 3$

By definition of logarithm we have to:

$log_ {b} (x) = y$ is equivalent to $b ^ y = x$

So:

$10 ^ 3 = \frac {9x} {8}\\9x = 8 * 10 ^ 3\\9x = 8 * 1000\\9x = 8000\\x = \frac {8000} {9}$

ANswer:

$x = \frac {8000} {9}$

3 0

3 years ago

Read 2 more answers

What term is used for a bell-shaped curve that is symmetrical regarding the average value of the population (the data being anal

Anna11 [10]

Answer:

Normal distribution

Step-by-step explanation:

The answer is "normal distribution". This is because in a normal distribution, the mean, median and mode are equal. What this means is that the distribution will be symmetrical with a bell curve unlike in positive or negative skew where it is skewed to either the left or right.

8 0

3 years ago