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2 years ago

Angle 1 is vertical to Angle 2. Angle 1 =94, Angle 2 = 2(x-13), Find the value of x.

Mathematics

1 answer:

rodikova [14]2 years ago

4 0

Answer:

x= 56

Step-by-step explanation:

86+94= 180 which if supplementary angles have to equal 180°

I don't know if you can tell but what's in red means distribute

then I added 26 on both sides with like terms

on the left side 86+26=112 and right side is left with 2x

then divide both sides by 2 to leave x by itself

112/2= 56 and 2x/2=x

so 56=x

Read more on decimal number:

brainly.com/question/1827193

#SPJ1

5 0

1 year ago

Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.

valentina_108 [34]

Answer:

Correct answer:

A. I and II

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with $f^{-1}(x)$

Given that:

$I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3$

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = $a^{-1}(x)$ = $a(x)$ Hence, I is true.

II. $y =\dfrac{1}{x}$

Replacing y with and x with y:

$x =\dfrac{1}{y}$

$x=\dfrac{1}{a^{-1}(x)}$

$\Rightarrow a^{-1}(x) = \dfrac{1}{x}$

$a^{-1}(x)$ = $a(x)$ Hence, II is true.

III. $y =x^{2}$

Replacing y with and x with y:

$x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)$

Hence, III is not true.

IV. $y =x^{3}$

Replacing y with and x with y:

$x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)$

Hence, IV is not true.

Correct answer:

A. I and II

4 0

3 years ago

Given the graph, find the initial value of the domain [ ___, 2].

kifflom [539]

According to the graph given, and using it's concept, it is found that the initial value of the domain is of 0.

The domain of a function is the set that contains all possible input values.

In a graph, it is represented by the values of x, which is the horizontal axis.

In the graph given in this problem, the function is defined for x between 0 and 2, that is, the domain is [0,2], hence, the initial value of the domain is of 0.

To learn more about domain, you can take a look at brainly.com/question/25897115

4 0

2 years ago

Adam leaves school at 4 p.m. and walks home at a constant pace of three mph. Amy leaves school thirty minutes later, but she bro

madam [21]

Answer:

10 minutes

Step-by-step explanation:

Adam- 3 mph = 20 minutes a mile

Amy- 12 mph = 5 minutes a mile

Adam left 30 minutes prior to Amy so he is a mile and a half ahead before amy even starts.

30 minutes = 1.5 miles (Adam)

7.5 minutes = 1.5 miles (Amy)

but with this being said you have to continue to add time and miles to Adam because he's now gone an extra 7.5 minutes too.

45 minutes = 2.25 miles

15 minues = 3 miles

no youre too far and Amy is now further so we have to go back some

40 minutes = 2 miles

10 minutes = 2 miles

With all this being said Amy only needs to ride her bike for 10 minutes before she catches back up to Adam

7 0

3 years ago

Help pls i need the angles one

OLga [1]

X=10 and y=20 is the answer

6 0

3 years ago