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Lisa [10]
3 years ago
6

What is the definition of supplementary angles.

Mathematics
2 answers:
never [62]3 years ago
7 0

Answer: either of two angles whose sum is 180°.

Step-by-step explanation:

IceJOKER [234]3 years ago
7 0

Answer:

either of two angles whose sum is 180°

Step-by-step explanation:

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The mayor of a town believes that over 47G% of the residents favor construction of an adjoining community. Is there sufficient e
photoshop1234 [79]

Answer:

There is sufficient evidence at the 0.05 level

Null hypothesis ; H0 : p = 0.47

Alternative hypothesis : H1 : p ≠ 0.47

Step-by-step explanation:

percentage favoring construction of adjoining community = 47%

level = 0.05

To determine if the 0.05 confidence level is enough to support the major's claim we have to state the Null and alternative hypothesis

Null hypothesis ; H0 : p = 0.47

Alternative hypothesis : H1 : p ≠ 0.47

5 0
3 years ago
The sum of two integers is 121. The larger integer is 7 more than twice the smaller integer. Find the two integers.
iren [92.7K]
X + (2x + 7) = 121 : Write the expression.
3x + 7 = 121 : Combine like terms.
3x + 7 - 7 = 121 - 7 : Isolate x.
3x = 114 : Combined like terms.
3x / 3 = 114 / 3 : Find the value of x.
x = 38 : This is the smaller integer.
(2x + 7) = (2(38) + 7) = 76 + 7 = 83. : Find the value of the larger number by plugging in the value of x to the larger number's quantity.
The larger number is 83, and the smaller number is 38.
5 0
3 years ago
How many extraneous solutions exist for the logarithmic equation below if it is solved in the most efficient way possible?log_(2
Nadusha1986 [10]

Answer:

No extraneous solution

Step-by-step explanation:

We have the logarithmic equation given by,

\log_{2}[\log_{2}(\sqrt{4x})]=1

i.e. \log_{2}(\sqrt{4x})=2^{1}

i.e. \sqrt{4x}=2^{2}

i.e. \sqrt{4x}=4

i.e. 4x=4^{2}

i.e. 4x=16

i.e. x=4

So, the solution of the given equation is x=4.

Now, as we domain of square root function is x > 0 and also, the domain of logarithmic function is ( 0,\infty ).

Therefore, the domain of the given function is x > 0.

We know that the extraneous solution is the solution which does  not belong to the domain.

But as x=4 belongs to the domain x > 0.

Thus, x = 4 is not an extraneous solution.

Hence, this equation does not have any extraneous solution.

7 0
3 years ago
Read 2 more answers
Jo borrowed 3,800 for 4 months from a bank. the bank discounted the loan at 5.5%.
garri49 [273]
A.
I=prt
I=(3800)(.055)(4/12)
I=$69.67

b.
Principal-interest=money received from Bank
3800-69.67=$3730.34

c.
I=prt
69.67=3730.34(r)(4/12)
69.67=1243.45r
69.67/1243.45=1243.45/1243.45r
.056≈r
Rate is 5.60%
8 0
3 years ago
What is an equation of the line that passes through the points (8,-8) and (-5,-8)
Vanyuwa [196]

Step-by-step explanation:

steps are in picture above.

<u>N</u><u>o</u><u>t</u><u>e</u><u>:</u><u>i</u><u>f</u><u> </u><u>y</u><u>o</u><u>u</u><u> </u><u>n</u><u>e</u><u>e</u><u>d</u><u> </u><u>t</u><u>o</u><u> </u><u>a</u><u>s</u><u>k</u><u> </u><u>a</u><u>n</u><u>y</u><u> </u><u>question</u><u> </u><u>please</u><u> </u><u>l</u><u>e</u><u>t</u><u> </u><u>me</u><u> </u><u>know</u><u>.</u>

4 0
3 years ago
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