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Anna [14]
3 years ago
11

For what value of x does m 1=90°?

Mathematics
1 answer:
HACTEHA [7]3 years ago
3 0

Answer:

x=70

Step-by-step explanation:

Angle 1 will be 90° when it subtends a 180° arc. That means the sum of 100° and (x+10) must be 180°, so (x+10) = 80°.

We assume this is intended to mean ...

... (x +10)° = 80° . . . . . note the ° symbol added outside parentheses

... x +10 = 80 . . . . . divide by °

... x = 70 . . . . . . . . .subtract 10

_____

If the intent is (x+10°) = 80°, then x=70°.

_____

<em>Comment on the numbers here</em>

Units need to be properly specified in problems of this nature. <em>As written</em>, we probably should assume that 10 is <em>radians</em>, and x is a large negative number, about -8.60374 (radians), or -492.958°.

A number of radians is a "pure number." It has <em>no units</em>. The term "radians" is used to signify that the number is considered to be an angle measure.

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Which expression have a value between 7 and 8 π+4 2II √62 √48 √56​
lilavasa [31]

Answer:

square root 48

Step-by-step explanation:

It is square root 48 because it is between 7 and 8 not exactly if it was exactly 7 and 8 it would be square root 56

7 0
2 years ago
Solve for x write the exact answer using either base -10 or base-e logarithms
jeka57 [31]

<u>Given</u>:

The given expression is 2^{x+5}=13^{2 x}

We need to determine the value of x using either base - 10 or base - e logarithms.

<u>Value of x:</u>

Let us determine the value of x using the base - e logarithms.

Applying the log rule that if f(x)=g(x) then \ln (f(x))=\ln (g(x))

Thus, we get;

\ln \left(2^{x+5}\right)=\ln \left(13^{2 x}\right)

Applying the log rule, \log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x), we get;

(x+5) \ln (2)=2 x \ln (13)

Expanding, we get;

x \ln (2)+5 \ln (2)=2 x \ln (13)

Subtracting both sides by 5 \ln (2), we get;

x \ln (2)=2 x \ln (13)-5 \ln (2)

Subtracting both sides by 2 x \ln (13), we get;

x \ln (2)-2 x \ln (13)=-5 \ln (2)

Taking out the common term x, we have;

x( \ln (2)-2 \ln (13))=-5 \ln (2)

                          x=\frac{-5 \ln (2)}{\ln (2)-2 \ln (13)}

                          x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}

Thus, the value of x is x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}

6 0
3 years ago
1. 5x + 2(x +6) simplify each expression
irina [24]
1. 5x+ 2(x+6)
= 5x+ 2x+ 2*6 (distributive property)
= 5x+ 2x+ 12
= (5x+ 2x)+ 12 (combine like terms)
= 7x+ 12

The correct answer is C. 7x+12~

2. <span> -3m + 3(m + 6) 
= -3m+ 3m+ 3*6
= -3m+ 3m+ 18
= (-3m+ 3m)+ 18
= 18

The correct answer is D. 18~</span>
3 0
2 years ago
Average student loan debt after a bachelors degree increases from 18,108 in 2004 to 28,522 2014. Find the absolute change
RideAnS [48]

Answer:

The absolute change is 10,414

Step-by-step explanation:

To get the absolute change, we simply use the mathematical formula below

Absolute change = New value - Original value

From the question, the new value is 18,108 while the original value is 28,522

So the absolute change will be;

28,522-18,108 = 10,414

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2 years ago
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