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Murljashka [212]
3 years ago
14

Two angles are complementary. They have measures of (7x + 2)° and (3x – 2)°, respectively. What is the value of x?

Mathematics
2 answers:
Nady [450]3 years ago
4 0
7x+2+3x-2=90\\
10x=90\\
x=9
marusya05 [52]3 years ago
3 0

Answer:

Option (c) is correct.

The value of x is 9.

Step-by-step explanation:

Given :  Two angles are complementary. They have measures of (7x + 2)° and (3x – 2)°, respectively.

We have to find the value of x.

Two angles are said to be complementary if the sum of measure of angle is 90°.

Given (7x + 2)° and (3x – 2)° are complementary angles.

That is sum of (7x + 2)° and (3x – 2)° is 90°

⇒ (7x + 2)° + (3x – 2)° = 90°

⇒ 7x + 2 + 3x - 2 = 90

⇒ 10x = 90

⇒ x = 9

Thus, the value of x is 9.

Hence, option (c) is correct.

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He would save $4.75.

Step-by-step explanation:

Without the pass,

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Which statement best describes how to determine whether f(x) = 9- 4x4 is an odd function?
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Option C.

Step-by-step explanation:

Note: In the given function the power of x should be 2 instead of 4, otherwise all options are incorrect.

Consider the given function is

f(x)=9-4x^2

If f(-x)=f(x), then f(x) is an even function.

If f(-x)=-f(x), then f(x) is an odd function.

Now, substitute x=-x in the given function.

f(-x)=9-4(-x)^2

f(-x)=9-4(x)^2

f(-x)=f(x)

So, the given function not an odd function. It means it is an even function.

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6 0
3 years ago
Your family goes to a Southern-style restaurant for dinner. There are 7 people in your family. Some order the chicken dinner for
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Answer:

a) 4 people ordered streak dinner

b) 3 people ordered chicken dinner

Step-by-step explanation:

Let the number of people that ordered steak dinner be x

and the number of people that ordered chicken dinner be y

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There are 7 people in your family

Hence, we can write that

x + y = 7 ...... (1)

Also from the question

Some order the chicken dinner for $13 and some order the steak dinner for $18 and the total bill was $111.

We can then write that

13y + 18x = 111 ...... (2)

From equation (1)

x + y = 7

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x = 7 - y ...... (3)

Put this into equation (2)

13y + 18x = 111

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Put the value of y into equation (3) to get x

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