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Arlecino [84]
2 years ago
8

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angl

es?
A.) 30 degrees
B.)40 degrees
C.)45 degrees
D.)27 degree
Mathematics
2 answers:
Anika [276]2 years ago
5 0
<h3>Question :</h3>

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?

<h3>Answer : </h3>

A.) 30 degrees

<h3>Solution :</h3>

Let one angle = x

According to statement,

Another angle = 2 × first angle

\sf : \implies Another \: angle = 2x

Now, we know that sum of complementary angles is 90°

Hence,

\sf : \implies x + 2x = 90^{\circ}

\sf : \implies 3x = 90^{\circ}

\sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}

\sf : \implies x = 30^{\circ}

\Large \underline{\boxed{\sf{ x = 30^{\circ} }}}

Therefore, one of the angle is 30°.

Another angle = 2 × 30° = 60°

IgorC [24]2 years ago
3 0

Answer:

30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Step-by-step explanation:

  • Let 'x' be the degree measure of the first angle.

Given that the degree measure of one of two complementary angles is twice that of the other.

  • Thus, the other angle = 2x

<em><u /></em>

<em><u>Complementary angles</u></em>

  • We know that two angles are termed as complementary angles when the sum of their measured angles is 90°.

Thus the equation becomes

x + 2x = 90°

3x =  90°

Divide both equations by 3

3x/3 = 90°/3

x = 30°

Therefore, 30°  is one of the degree measures of the angles.

Hence, option (A) is true.

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The flag of a country contains an isosceles triangle.​ (Recall that an isosceles triangle contains two angles with the same​ mea
weeeeeb [17]

31 degrees, 31 degrees, 118 degrees

Step-by-step explanation:

Step 1 :

Let x be the measure of 2 angles of the given isosceles triangle with same measure

Let y be the measure of  3rd angle

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Step 2 :

Given that the measure of  3rd angle of  triangle is 25​° more than three times the measure of either of the other two​ angles

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8 0
3 years ago
Can someone please show me the steps in finding the answers to these two problems ?
ratelena [41]

Answer:

  • y = 8^(x-1)
  • x = 24

Step-by-step explanation:

The first step is always to look at the question to see what you are given and what you are asked for. The next step is to identify the relevant relations between what you have and what you need to find.

__

1) You are given a sequence of (x, y) points where x increases by 1 from one point to the next, and y increases by a factor of 8. This tells you the value of y form a geometric sequence that is described by an exponential function.

The general form of the n-th term of a geometric sequence is ...

  an = a1·r^(n-1)

where a1 is the value for n=1, and r is the common ratio.

If this were a geometric sequence, we could write the general term using a1=1 and r=8:

  an = 1·8^(n-1)

Instead, this is a relation between x and y. It is the same relation as for the geometric sequence, but with different variable names. We have y instead of an, and we have x instead of n. So, the equation is ...

  y = 8^(x -1) . . . . . . . or . . y = (1/8)8^x

__

2) This equation is of the form ...

  k·∛x = 6

Since k is also a cube root, it is easiest to cube both sides of the equation:

  9x = 6³ = 216

Now, you can divide by 9 to find x:

  x = 216/9

  x = 24

5 0
3 years ago
Read 2 more answers
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