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
Novosadov [1.4K]
3 years ago
11

What is the value of x?

Mathematics
1 answer:
torisob [31]3 years ago
3 0

Answer:

x=45^{o}

Step by step explanation:

We have been given that measure of angle A is fifty five degrees, the measure of angle B is eighty degrees and the measure of angle C is x.

Since we know that sum of measures of all the three angles of any triangle equals to 180 degrees.

Let us set sum of measures of all angles of our triangle equal to 180 degrees.

A+B+C=180^{o}

Upon substituting our given values in our equation we will get,

55^{o}+80^{o}+x=180^{o}

135^{o}+x=180^{o}

x=180^{o}-135^{o}

x=45^{o}

Therefore, the measure of angle x equals to 45 degrees.

You might be interested in
A simple random sample of electronic components wil be selected to test for the mean lifetime in hours. Assume that component li
Serjik [45]

Answer:

189 components must be sampled.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.005 = 0.995, so Z = 2.575.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

Assume that component lifetimes are normally distributed with population standard deviation of 16 hours.

This means that \sigma = 16

How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours?

n components must be sampled.

n is found when M = 3. So

M = z\frac{\sigma}{\sqrt{n}}

3 = 2.575\frac{16}{\sqrt{n}}

3\sqrt{n} = 2.575*16

\sqrt{n} = \frac{2.575*16}{3}

(\sqrt{n})^2 = (\frac{2.575*16}{3})^2

n = 188.6

Rounding up:

189 components must be sampled.

4 0
3 years ago
If FGH QRS, find the measure of Q<br><br> A. 9<br> B.28<br> C.11<br> D.34
Ne4ueva [31]

Answer:

  • 28°

Step-by-step explanation:

<u>Since ΔFHG ≅ QRC, the corresponding angles are congruent:</u>

  • ∠F = ∠Q
  • (2x + 10)° = (3x + 1)°
  • 3x - 2x = (10 - 1)°
  • x = 9°

<u>Then, the angle Q measures:</u>

  • ∠Q = (3*9 + 1)° = 28°
6 0
3 years ago
What polygon is formed when 2 equilateral triangles that are congruent and share a side
zalisa [80]

You form a rhombus.

Draw an equilateral triangle, and then mirror it around its base. All the sides are clearly equal, because they are all sides of the same equilateral triangle.

Moreover, the top and bottom angle are 60°, because they are angles of an equilateral triangle, while the left and right angles are 120, because they're 60+60 angles.

7 0
3 years ago
(05.03 LC) What is the initial value of the function represented by this graph? (1 point) ​
Liula [17]

Answer:

0

Step-by-step explanation:

8 0
2 years ago
Marcus needs 108 inches of wood to make a frame. How many feet of wood does Marcus need for the frame?
ludmilkaskok [199]
9 inches, divide 108 by 12, because 12 inches makes a foot
3 0
3 years ago
Other questions:
  • What is the unit rate of $48 for 3 pairs of shoes?
    11·2 answers
  • Find the area of the surface. the part of the surface y = 5x + z2 that lies between the planes x = 0, x = 1, z = 0, and z = 1.
    11·1 answer
  • find the area of the shaded sector, in square meters. leave your answer in terms of pi. need answer please help.
    5·1 answer
  • In 1971 the us dollar became part of the total fiat system meaning what?
    12·1 answer
  • Braces are used in interval or roster notation?
    6·1 answer
  • Factor completely 4x2-1
    11·2 answers
  • Help what is 4(3q+10)=6(2q-9)
    13·2 answers
  • There is a circular park of radius 15 meters. Three friends Lillian, William, and Jacob are sitting at equal distance on its bou
    13·1 answer
  • 12feet<br> 12 feet<br> HELP ME PLS SNJSNAKSKW
    11·1 answer
  • Or
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!