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STatiana [176]
3 years ago
12

AC = 22, BC = x + 14, and AB = x + 10.Find x.​

Mathematics
2 answers:
Luden [163]3 years ago
7 0

Hi there! :)

Answer:

\huge\boxed{x = -1}

Given:

AC = 22

BC = x + 14

AB + x + 10

AC is equivalent to AB + BC, therefore:

AC = AB + BC

Substitute in the expressions:

22 = (x + 10) + (x + 14)

Combine like terms:

22 = 2x + 24

Subtract 24 from both sides:

-2 = 2x

Divide both sides by 2:

x = -1

Dmitry_Shevchenko [17]3 years ago
4 0

Given : AC = 22, BC = x + 14, and AB = x + 10.

\rule{130}1

Solution :

:\implies\sf AB + BC  = AC\:\:\:\:\Bigg\lgroup \bf{Segment\: addition\: postulate}\Bigg\rgroup \\\\\\:\implies\sf (x + 10) + (x + 14) = 22\:\:\:\:\Bigg\lgroup \bf{Substitution}\Bigg\rgroup\\\\\\:\implies\sf 2x + 24 = 22\:\:\:\:\Bigg\lgroup \bf{Simplify\:(added\:like\:term)}\Bigg\rgroup\\\\\\:\implies\sf 2x = -2\\\\\\:\implies\sf x = \dfrac{-2}{2}\\\\\\:\implies\underline{\boxed{\pink{\sf x = -1}}}

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Oxana [17]
F is a function. It takes inputs and then produces an output. The notation <span>f(x)</span> is saying more specifically that the function is taking an input x and producing the output <span>f(x)</span>. For example, if you look at <span>f(x)=<span>x2</span></span>, you can think that f is the "squaring function", with input x and outputs <span>x2</span>. You can think that <span>"f"</span> is like the name of the function. <span><span>f1</span>(x)=<span>x2</span></span> <span><span>f2</span>(x)=<span>6x</span>+3</span> Above, you know which function I'm talking about if I say <span>f2</span>. But often, people will just call it as the function <span><span><span>f2</span>(x)</span></span>
3 0
3 years ago
URGENT HELP<br><br> The nth term of a sequence is given 3n-16. What’s the value of the 9th term?
Ivan

Answer:

a₉ = 11

Step-by-step explanation:

Substitute n = 9 into the nth term formula, that is

a₉ = 3(9) - 16 = 27 - 16 = 11

7 0
2 years ago
Someone anyone please please I am begging help me
zaharov [31]

Answer:

Step-by-step explanation:

Since (8x-20) and (3x+2) are two sides of the angles on one plane, we can structure them into an equation to find x.

(8x-20) + (3x+2) = 180

We want x to be on one side and all the numbers to be on the other. But first, we must combine our two problems.

-20 + 2 = -18; 8x + 3x = 11x

So now our equation is:

(11x-18) = 180

In order to move our numbers to one side and leave our x's on the other, we must inverse our additions/subtractions/etc.

180 + 18 = 199

11x = 199

199/11 = 18.1

x=18.1!

Regards!

8 0
2 years ago
Read 2 more answers
What is <br> the ratio equal for 90:18
Ann [662]
To find the ratio between 2 numbers, you need to find the GCF of those 2 numbers. If the GCF is the ratio, the ratio is in it's simplest form.
GCF of 90 and 18 is 18
divide both numbers by the GCF and the final simplest ratio is 5:1
4 0
3 years ago
Read 2 more answers
Jason and Alison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of
Shalnov [3]

Answer:

Owl= 67.14ft

Step-by-step explanation:

<em>See comment for complete question.</em>

The given information is represented in the attached figure.

First convert 22°8'6'' and 30° 40’ 30” to degrees

22^{\circ} 8'6'' = 22 + \frac{8}{60} + \frac{6}{3600}

22^{\circ} 8'6'' = 22.135^{\circ}

30^{\circ} 40'30'' = 30 + \frac{40}{60} + \frac{30}{3600}

30^{\circ} 40'30'' = 30.675^{\circ}

Considering Jason's position:

tan(22.135^{\circ}) = \frac{H}{x + 48}

Where x = distance between the tree and Alison

Make H the subject

H = (x + 48)tan(22.135^{\circ})

Considering Alison's position

tan(30.675^{\circ}) = \frac{H}{x}

Make H the subject

H = xtan(30.675^{\circ})

H = H

(x + 48)tan(22.135^{\circ}) = xtan(30.675^{\circ})

(x + 48) *0.4068 = x* 0.5932

Open bracket

x *0.4068 + 48 *0.4068 = 0.5932x

0.4068x + 19.5264 = 0.5932x

Collect Like Terms

-0.5932x+0.4068x = -19.5264

-0.1864x = -19.5264

0.1864x = 19.5264

Make x the subject

x = \frac{19.5264}{0.1864}

x = 104.76

Substitute 104.76 for x in H = xtan(30.675^{\circ})

H = 104.76 * tan(30.675^{\circ})

H = 104.76 * 0.5932

H = 62.14

The above represents the height of the tree.

The height of the owl is:

Owl= H + 5

Owl= 62.14 + 5

Owl= 67.14ft

7 0
2 years ago
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