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
Varvara68 [4.7K]
2 years ago
5

Please answer and use statement reason

Mathematics
1 answer:
masha68 [24]2 years ago
8 0

Answer:

x = 15

Step-by-step explanation:

FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.

Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.

x + 8x + 3x = 180°

12x = 180°

12x/12 = 180/12

x = 15

You might be interested in
The ratio of the measures of the sides of a triangle is 9:7:3 if the perimeter of the triangle is 266 inches, find the length of
Readme [11.4K]
Hey there,

Answer:
9 : 7 : 3
Total units = 19 units
19 u = 266 inches
1 u = 266 / 19
      = 14 inches
Shortest side = 3 u
3 u = 14 x 3 
      = 42 inches

Hope this helps :D

<em>~Top♥</em>

3 0
4 years ago
Let the random variable x be equally likely to assume any of the values 1/10, 1/5, or 3/10. determine the mean and variance of x
Keith_Richards [23]
Since the values are equally likely and equally spaced, their mean is the middle one.
  the mean is 1/5

The variance is the average of the square of the deviations from the mean.
  σ² = (1/3)((-1/10)² + 0² + (1/10)²) = 2/300
  the variance is 2/300
6 0
3 years ago
HELP HELP PLEASE DUE TONIGHT
Serjik [45]

Answer:

Gurl... I GOT CHU!!

Step-by-step explanation:

1. x = -9

2. y = -42

3. x = -15

4. z = 15

5. x = -3

Here ya go!!

7 0
4 years ago
Suppose spin a spinner with eight equal sectors, numbered 1 to 8. What is the probability of spinning a 3 or an 8?
olasank [31]

Given, in the spinner 8 equal sectors, numbered 1 to 8.

So total numbers = 8.

Let, the probability of spinning a 3 is P(Three) and spinning an 8 is P(Eight).

Now we know that, probability of an event E is

P(E) = (number of outcomes in the event)/ (total number of possible outcomes).

So here number of outcomes for spinning a 3 is 1 and we have got total outcomes = 8.

So P(Three) = \frac{1}{8}

Similarly, P(Eight) = \frac{1}{8}

Probability of spinning a 3 or an 8 = P(Three) + P(Eight)

= \frac{1}{8} + \frac{1}{8}

As the denominator is same we can add the numerator.

= \frac{(1+1)}{8}

= \frac{2}{8}

Now we have to simplify the fraction by dividing the numerator and denominator by a common factor of them.

The common factor of 2 and 8 is 2. So by dividing them we will get,

= \frac{1}{4}

We have got the required answer.

The probability of spinning a 3 or an 8 is \frac{1}{4}


4 0
3 years ago
Read 2 more answers
What is the equation of a line passing through (-6,5) and having a slope of 1/3 (1 over 3) ?
krek1111 [17]
The answer is y=(1/3)x+7, use y=mx+b and solve for b where m is slope
7 0
4 years ago
Read 2 more answers
Other questions:
  • Pls answer this one and I will mark it has brainlist
    15·1 answer
  • Partial results of a survey about students who wear glasses are shown in the two-way table.
    8·2 answers
  • The quotient of two numbers is 17, and their sum is 36. what are the two numbers?
    10·1 answer
  • Jana is thinking of a number. If she divides her number by 12 and then multiplies the quotient by 8, the result is 520. What num
    5·2 answers
  • 18x+2x^2+3x^3 factored
    7·1 answer
  • Plz help me:\ ; \ : )
    9·1 answer
  • Eliana is using a magnifying glass. The lens of the magnifying glass has a radius of 4 centimeters. What is the lens's area? Use
    6·1 answer
  • The equation of the line in the graph is y=___ x+=_____<br> (-1,-1)
    11·1 answer
  • Find the original price, discount, sale price, or selling price.
    9·1 answer
  • What is the relationship between translations, reflections, and ridgid motion?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!