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Anna [14]
3 years ago
14

Supplementary angles are angles whose son is 180. To supplementary angles are such that one angle is 4° less than three times th

e other. Find the measures of the angles
Mathematics
1 answer:
zzz [600]3 years ago
7 0

Answer:

The measures of angle are 46 degrees and 134 degrees.

Step-by-step explanation:

We are given the following in the question:

Let the measure of one the of the supplementary angles be x degrees.

Measure of other angle =

(3x-4)\text{ degrees}

Since, the two angles are supplementary, their sum is 180 degrees.

Thus, we can write and solve the equation:

x + (3x-4) = 180\\4x = 184\\x = 46\\(3x-4) = 134

Thus, the measures of angle are 46 degrees and 134 degrees.

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If set D is not the empty set but is a subset of set E, then which of the following is true?
MrRa [10]
D∩E=D This is because since D is a subset of E then the elements they will have in common are the elements in D and D is not a null set
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In Δ Q R S s = 7.9 cm ∠ Q = 125 ∘ and ∠ R = 23 ∘ '. Find the length of q, to the nearest 10th of a centimeter.
Annette [7]

Answer:

See the attachment ⬆️⬆️

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3 years ago
Suppose that the New England Colonials baseball team is equally likely to win a game as not to win it. If 4 Colonials games are
aleksandrvk [35]

Answer:

The answer is 0.25

Step-by-step explanation:

This is a binomial distribution question, since it is equally likely probability of success (p) is 0.5 and the probability of failure (q) is 0.5.

Using binomial distribution formula

P(x) = n CX PX qn-x where C means combination

X =3 , n= 4

P(x) = 4c3 × (0.5) raise to power 3 ×(0.5) raise to power 1

P(x) = 4× 1/8 × 1/2

P(x)= 0.25

4 0
3 years ago
A machine produces 3-inch nails. A sample of 10 nails is obtained and the lengths determined. After some calculation, the sample
gtnhenbr [62]

Answer:

<em>The 90% confidence interval for the population mean length of nails produced by the machine.</em>

<em>(2.91562, 3.04438)</em>

Step-by-step explanation:

<u><em>Step:1</em></u>

Given that the size of the sample 'n' = 10

Given that the mean of the sample (x⁻) = 2.98

Given that the standard deviation of the sample (s) = 0.09

Degrees of freedom = n-1 = 10 -1 = 9

t₀.₁₀ = 2.2621

<u><em>Step:2</em></u>

<em>The 90% confidence interval for the population mean length of nails produced by the machine.</em>

(x^{-} - t_{9 , 0.10} \frac{S}{\sqrt{n} } , x^{-} + t_{9,0.10} \frac{S}{\sqrt{n} } )

(2.98 - 2.2621(\frac{0.09}{\sqrt{10} } , 2.98 + 2.262 \frac{0.09}{\sqrt{10} } )

(2.98 - 0.06438 , 2.98 + 0.06438)

(2.91562 , 3.04438)

<u><em>Final answer:-</em></u>

<em>The 90% confidence interval for the population mean length of nails produced by the machine.</em>

<em>(2.91562, 3.04438)</em>

4 0
3 years ago
A number squared divided by 2 and added to 16
nadya68 [22]

Answer:

Suppose the number is 4

Square of this number (4 x 4 ) = 16

Divided by 2 = 16/2 = 8

Added to 16 = 8+16 = 24

Step-by-step explanation:

4 0
4 years ago
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