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
Zanzabum
2 years ago
15

1. The diagram shown is two intersecting lines. The measure of <5is 47°.

Mathematics
1 answer:
Savatey [412]2 years ago
6 0

The measure of ∠7 is 47°. Angle 7 is a vertical angle to angle 5

Suppose the measure of ∠6 is represented represented by (2x - 5), the equation that can be use to solve for x is 42 + 2x = 180

The value of x is 69

<h3>Vertical opposite angles</h3>

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

Vertical opposite angles are congruent. Therefore,

a. ∠5 ≅ ∠7 (vertical angles)

Therefore, angles 5 and 7 are congruent angles.

∠7 = 47°

b. Suppose ∠6 = 2x - 5 . let's find x

Therefore,

∠5 + ∠6 = 180(angle on a straight line)

The equation to solve the above is as follows:

47 + 2x - 5 = 180

42 + 2x = 180

2x = 180 - 42

2x = 138

x = 138 / 2

x = 69

learn more on intersecting lines here: brainly.com/question/24715845

You might be interested in
2.8, 3.4, 4.0, 4.6, . . . Write an equation for the nth term of the arithmetic sequence. Then find a50.
vova2212 [387]

Answer:

a_n = 2.2 + 0.6 n

a_50 = 32.2

Step-by-step explanation:

What's the common difference of this series?

a_1 = 2.8

a_2 = 3.4

Common difference = a_2 - a_1 = 3.4 - 2.8 = 0.6.

Expression for the nth term:

a_n = a_1 + (n - 1) \cdot\text{Common Difference} \\\phantom{a_n } = 2.8 + 0.6 \; (n-1) \\\phantom{a_n} = 2.8 + 0.6 \; n - 0.6\\\phantom{a_n} = 2.2 + 0.6\; n

n = 50 for the fiftieth term. Therefore

a_{50} = 2.2 + 0.6 \times 50 = 32.2.

6 0
3 years ago
Describe the graph of the Celsius-Fahrenheit relationship
White raven [17]

Using linear function concepts, the graph of the Celsius-Fahrenheit relationship is linear with an intercept of 32 and slope of 1.8.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the table, we have that:

  • When the input is of 0, the output is of 32, hence the intercept is of 32.
  • When the input changes by 10, the output changes by 18, hence the slope is of 18/10 = 1.8.

Thus, the graph of the Celsius-Fahrenheit relationship is linear with an intercept of 32 and slope of 1.8.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

6 0
2 years ago
For the graph y = -8 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your a
OLEGan [10]
Does it give you any more details?? if not it would be undefined for parallel and zero for perpendicular.<span />
8 0
3 years ago
Read 2 more answers
Which of the following sets is a subspace of set of prime numbers P Subscript nℙn for an appropriate value of​ n? A. All polynom
goldfiish [28.3K]

Answer:

Check the explanation

Step-by-step explanation:

A. All polynomials of the form p(t) = a + bt2, where a and b are in: This means that  A is closed under scalar mult and vector addition, and includes the zero vector.

B.All polynomials of degree exactly 4, with real coefficients: what this means is that under vector addition, B isn't closed, and it does not consist of the zero vector. What it consist of  is just polynomials with degree exactly 4. Let f=x4+1f=x4+1 and let g=−x4g=−x4. Both are in B, but their sum is not, because it has degree 0.

C. All polynomials of degree at most 4, with positive coefficients: what this means is that C is not a subspace for the reason that the positive coefficients make zero vector impossible. The restriction there also makes C not closed under multiplication by the scalar −1.

So the answer is only A :D

3 0
4 years ago
Find the greatest possible error for the measurement 4.7 cm.
gtnhenbr [62]
How is it an error? Need more explatinion or an example
4 0
3 years ago
Other questions:
  • Which is an acceptable first property to solve the equation -2x=12
    13·1 answer
  • Find the sum of the measures of the interior angles in the figure.
    12·1 answer
  • Given: Quadrilateral DEFG is inscribed in circle P. Prove: m∠G+m∠E=180∘
    14·1 answer
  • Suppose 229 subjects are treated with a drug that is used to treat pain and 52 of them develop nausea use a 0.01 significance le
    11·1 answer
  • Solve the equation for all real solutions in the simplest form<br><br> 8b^2 + 16b + 19 = 5b^2
    5·1 answer
  • Which of the following is the solution to the equation 25(z + 4) = 125?
    11·1 answer
  • For each ordered pair determine if it is a solution to 7x+5y=9
    5·1 answer
  • Can you conclude that this parallelogram is a rectangle? Explain.
    7·2 answers
  • 4 lbs of tomato’s cost $14 complete the double number line so that it shows how much it will cost for up to 8 lbs of tomato’s
    10·1 answer
  • Help me please ASAP!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!