Answer:
i don't think so bud
Step-by-step explanation:
Answer:
D. 70°
Step-by-step explanation:
Given:
m<DGB = 35°
m<CGF = 75°
Required:
m<AGE
SOLUTION:
m<EGD = m<CGF (vertical angles are congruent)
m<EGD = 75°
m<AGE + m<EGD + m<DGB = 180° (angles on a straight line)
m<AGE + 75° + 35° = 180° (substitution)
m<AGE + 110° = 180°
Subtract 110 from each side of the equation
m<AGE = 180° - 110°
m<AGE = 70°
Answer:
Esmerelda did not use the reciprocal of the divisor.
Step-by-step explanation:
A complex fraction is another way to show division of two fractions. In this case, we are dividing -5 1/4 by 3/2.
We first convert -5 1/4 to an improper fraction. To do this, multiply the whole number by the denominator; this gives us -5(4) = -20. Then add the -1 (negative since the fraction is negative); this gives us -21/4.
This means we are dividing -21/4 by 3/2.
To divide fractions, we multiply by the reciprocal; this means we flip the second fraction and multiply. We would then multiply -21/4 by 2/3. This is the step Esmerelda did not do.
Answer:
4 and 5
Step-by-step explanation:
For answering questions like this, it can be useful to remember a few of the powers of small integers:
2^4 = 16
2^5 = 32
<h3>Exponents and logarithms</h3>
A logarithm can be considered to be an exponent of the base.
The ordering of powers of 2 relative to the number of interest (17) is ...
16 < 17 < 32
2⁴ < 17 < 2⁵ . . . . . . . . . . . . . . . . . . . expressed as powers of 2
log₂(2⁴) < log₂(17) < log₂(2⁵) . . . . . log₂ of the above inequality
4 < log₂(17) < 5 . . . . . . . . . . . . . . . . showing the values of the logs
Log₂(17) lies between 4 and 5.
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<em>Additional comment</em>
Using the "change of base" formula, you can use a calculator to find the value of log₂(17). It shows you the value is between 4 and 5.
log₂(17) = log(17)/log(2) . . . . . . using logs to the same base