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Aleks04 [339]
3 years ago
7

Question 13 (5 points) m_1 = (4x + 9)º and m_2 = (x - 14)° in the given figure. Find x.

Mathematics
1 answer:
Degger [83]3 years ago
3 0

Answer:

x=19°

Step-by-step explanation:

Line n and l form a right angle. We know that because line m and l are parallel to each other and line n crosses through them as a vertical line.

Right angles always add up to 90°.

So, Angle 1 add Angle 2 equals 90°.

4x+9+x-14=90°

Collect the like terms:

Like terms are terms with the same variables and powers.

4x+x=5x

9-14= -5

Form an equation:

5x-5=90°

Do inverse operations to isolate x.

90+5=95°

95÷5=19° (We divide by 5 because, in algebra, when a number is next to a letter, it means times, so we have to do the opposite and divide).

So, x=19°

Hope this helps :)

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Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:
mars1129 [50]

Answer:

A = (x + 15)(x + 10) − 5

Step-by-step explanation:

(x+15)(x+10)-5=A would be a solution

To make this easier, let's assign x a value. Let's say 3.

(3+15)(3+10)-5=A

(18)(13)-5=A

234-5=A

A=229

Now with this, we put x in the answer choice and the answer that gives an area of 229 is correct.

A. A=(3+20)(3+10)+12=(23)(13)+12=299+12=311 <u>Answer A is wrong.</u>

B. A=(3+20)(3+10)-12=(23)(13)-12=299-12=287 <u>Answer B is wrong.</u>

C. A=(3+26)(3+15)=(29)(18)=522 <u>Answer C is wrong.</u>

D. A=(3+14)(3+8)=(17)(11)=187 <u>Answer D is wrong.</u>

It's either I'm wrong or the answer choices are wrong.

New answer choices!

A. A=(3+20)(3+11)

=(23)(14)=322 Answer A is wrong.

B. A=(3+15)(3+10)+5

=(18)(13)+5=234+5=239  Answer B is wrong.

C. A=(3+15)(3+10)−5

=(18)(13)-5=234-5=229 Answer C is correct.

D. A=(3+9)(3+10)=(12)(13)=156 <u>Answer D is wrong.</u>

5 0
4 years ago
The diameter of a circle is 18 centimeters. What is the area? Give the exact answer in simplest form
alina1380 [7]

Answer:

254.47

Step-by-step explanation:

Formula is pi r^2

the radius is 9 which is half of the diameter

pi 9^2

7 0
3 years ago
Help please! This is a Calculus AB question!
Lynna [10]

Answer:

½ ln 3

Step-by-step explanation:

∫ sec²x / tan x dx

If u = tan x, then du = sec²x dx.

∫ du / u

ln|u| + C

ln|tan x| + C

Evaluate between π/4 and π/3.

ln|tan(π/3)| + C − (ln|tan(π/4)| + C)

ln|√3| + C − ln|1| − C

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7 0
3 years ago
14^-3x14^5 using a single positive exponent
lesya692 [45]

Answer:

1/14^3x times 14^5

Step-by-step explanation:

Sorry I dont have one but I hope this helps, GodBless.

6 0
3 years ago
Read 2 more answers
If y varies inversely as x, and y = 23 when x<br> 8, find y when x 4.
Virty [35]

Answer:

y = 46

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition y = 23 when x = 8 , then

23 = \frac{k}{8} ( multiply both sides by 8 )

184 = k

y = \frac{184}{x} ← equation of variation

When x = 4 , then

y = \frac{184}{4} = 46

7 0
3 years ago
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