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Sladkaya [172]
3 years ago
15

What is the value of x

Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0

Answer:

x = 98

Step-by-step explanation:

The sum of the interior angles in a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 7, thus

sum = 180° × 5 = 900°

Sum the interior angles and equate to 900

x + 146 + 122 + 142 + 140 + 110 + 142 = 900, that is

x + 802 = 900 ( subtract 802 from both sides )

x = 98

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2. Which number is a solution of the inequality? <br> -5 <br> -6<br> 6<br> 7
Sveta_85 [38]
I don’t understand your answerso you can be more specific?
7 0
3 years ago
What is the measure of AB in O below?
8_murik_8 [283]

Answer:

The measure of an arc is equal to the angle opposite it

Therefore the answer is C. 100°

Hope this helps!

8 0
3 years ago
Can someone help answer at least one? :) ty
Vika [28.1K]

Answer:

Step-by-step explanation:

a). Ratio of OP and RT = \frac{OP}{RT}

                                     = \frac{12}{3.6}

                                     = \frac{10}{3}

b). Since ΔOPQ ~ ΔRTS, their corresponding sides will be proportional.

    \frac{OQ}{RS}=\frac{OP}{RT}

    \frac{OQ}{4.5}=\frac{10}{3}

    OQ = \frac{10\times 4.5}{3}

    OQ = 15 cm

c). m∠P = m∠T = 60°

d). m∠Q = m∠S

    By applying angle sum theorem in ΔRST,

    m∠R + m∠S + m∠T = 180°

    26° + m∠S + 60° = 180°

    m∠S = 180° - 86°

             = 94°

    Therefore, m∠Q = m∠S = 94°

3 0
3 years ago
PLEASE!!! NEED HELP ASAP!!! 50 PTS AND BRAINLIEST!!!
noname [10]

1) Inverse function: f^{-1}(x)=g(x)=\frac{x+4}{3}

2) f(1) = -1, g(-1) = 1

3) f(g(x))=g(f(x))=x

Step-by-step explanation:

1)

In this first method, we want to find the inverse function of f(x).

The original function is:

f(x) = 3x-4

We rewrite it as

y=3x-4

We swap the name of the variables:

x=3y-4

Adding +4 on both sides:

x+4=3y-4+4\\x+4=3y

And dividing by 3 on both sides:

y=\frac{x+4}{3}

which is identical to g(x):

g(x)=\frac{x+4}{3}

2)

In this second method, we want to use the output of one function as input to the other function, and show that the output value is equal to the imput value.

We start using the function

f(x)=3x-4

We choose x=1. We find:

f(1)=3(1)-4=3-4=-1

Now we use this output value as input in the function

g(x)=\frac{x+4}{3}

Substituting x=-1,

g(-1)=\frac{-1+4}{3}=\frac{3}{3}=1

So, the final output value (1) is equal to the input value (1).

3)

Here we want to verify that the two are inverse functions by showing that

f(g(x))=x

We have

f(x)=3x-4\\g(x)=\frac{x+4}{3}

Substituting g(x) into f(x),

f(g(x))=3g(x)-4 = 3(\frac{x+4}{3})-4=(x+4)-4=x

Viceversa, we want to show that

g(f(x))=x

Substituting g(x) into f(x), we get

g(f(x))=\frac{f(x)+4}{3}=\frac{(3x-4)+4}{3}=\frac{3x-4+4}{3}=\frac{3x}{3}=x

So, the two functions are one the inverse of the other.

Learn more about inverse functions:

brainly.com/question/1632445

brainly.com/question/2456302

brainly.com/question/3225044

#LearnwithBrainly

6 0
3 years ago
Points P and Q are two of the vertices of a right triangle. They are the endpoints of the hypotenuse PQ¯¯¯¯¯ of the triangle. Th
kolezko [41]

Answer:

.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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