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g100num [7]
3 years ago
14

C and d are complementary. The measure of c is 4x and the measure of d is 26. What is the value of x

Mathematics
1 answer:
const2013 [10]3 years ago
6 0

Answer:

The value of x is 16.    

Step-by-step explanation:

We are given the following in the question:

c and d are complementary angles.

Measure of c = 4x

Measure of d = 26

Since c and d are complementary, we can write from property of complementary:

c + d = 90

Putting values, we get,

4x + 26 =90\\4x = 90-26 = 64\\\\\Rightarrow x = \dfrac{64}{4} = 16

Thus, value of x is 16.

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Segments
Ipatiy [6.2K]

There are several ways two triangles can be congruent.

  • \mathbf{AC = BD}<em> congruent by SAS</em>
  • \mathbf{\angle ABC \cong \angle BAD}<em> congruent by corresponding theorem</em>

In \mathbf{\triangle AOL} and \mathbf{\triangle BOK} (see attachment), we have the following observations

1.\ \mathbf{AO = DO} --- Because O is the midpoint of line segment AD

2.\ \mathbf{BO = CO} --- Because O is the midpoint of line segment BC

3.\ \mathbf{\angle AOB =\angle COD} ---- Because vertical angles are congruent

4.\ \mathbf{\angle AOC =\angle BOD} ---- Because vertical angles are congruent

Using the SAS (<em>side-angle-side</em>) postulate, we have:

\mathbf{AC = BD}

Using corresponding theorem,

\mathbf{\angle ABC \cong \angle BAD} ---- i.e. both triangles are congruent

The above congruence equation is true because:

  1. <em>2 sides of both triangles are congruent</em>
  2. <em>1 angle each of both triangles is equal</em>
  3. <em>Corresponding angles are equal</em>

See attachment

Read more about congruence triangles at:

brainly.com/question/20517835

3 0
3 years ago
The large sphere has a diameter of 12. What is the volume of the shaded figure. Express the answer in terms of 3.14
aleksley [76]
113.04 is the volume
5 0
3 years ago
(08.05)The box plot shows the total amount of time, in minutes, the students in a class spend traveling to school each day: A bo
Harman [31]
<span>Box plots give the five number summary of the data set. The whiskers indicate the minimum daily travel time, which is 11 minutes, and the maximum daily travel time, which is 45 minutes. These values are not outliers because they are connected to the box with whiskers. Meanwhile, the box indicates that the first quartile of the data set is 16, the median is 28, and the third quartile is 36.</span>
6 0
3 years ago
What is the value of h?
Andreyy89

Answer:

3h+18°+15h= 180°(straight angle)

=>18h+18= 180°

=>18h= 180-18° = 162°

=>h= 162°/18= 9

option B

3 0
3 years ago
Read 2 more answers
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distribute
bulgar [2K]

Answer:

The area of the shaded region is 0.2898.

Step-by-step explanation:

Let <em>X</em> represent the IQ scores of adults.

It is provided that X\sim N(100,15^{2}).

Compute the probability of an adult having an IQ between 106 and 124 as follows:

P(106

                             =P(0.40

*Use a <em>z</em>-table.

Thus, the area of the shaded region is 0.2898.

4 0
3 years ago
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