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BigorU [14]
2 years ago
8

Help help math math math

Mathematics
1 answer:
ser-zykov [4K]2 years ago
4 0

Answer:

  x = 16

Step-by-step explanation:

The two marked angles are supplementary:

  (7x -2) +(4x +6) = 180

  11x +4 = 180

  11x = 176

  x = 176/11 = 16

The value of x is 16.

_____

<em>Additional comment</em>

The angle on the left is 110°; the one on the right is 70°, so that answer checks.

These marked angles are called "consecutive exterior" angles. Just as "consecutive interior" angles are supplementary, so are consecutive exterior angles.

Essentially, all of the obtuse angles are congruent, as are all of the acute angles. The obtuse angles are supplementary to the acute angles.

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Solve this equation for x. Round your answer to<br>the nearest hundredth.<br>7 = In(x + 5)<br>​
oksian1 [2.3K]

Answer:

x ≈ 1091.63

Step-by-step explanation:

Using the rule of logarithms

log_{b} x = n ⇔ x = b^{n}

note that ln x is to the base e

Given

ln(x + 5) = 7, then

x + 5 = e^{7} ( subtract 5 from both sides )

x = e^{7} - 5 ≈ 1091.63 ( nearest hundredth )

3 0
2 years ago
The Blue Diamond Company advertises that their nut mix contains (by weight) 40% cashews, 15% Brazil nuts, 20% almonds and only 2
jek_recluse [69]

Answer:

At the 0.05 level of significance,  the claim made by Blue Diamond is true

Step-by-step explanation:

Given that the Blue Diamond Company advertises that their nut mix contains (by weight) 40% cashews, 15% Brazil nuts, 20% almonds and only 25% peanuts.

H_0: The mix are as per percents given\\H_a:Atleast two differ from the above percent.

(Two tailed chi square test at 5% significance level)

Chi square is calculated as (Obs_exp)^2/Expected

Cashews Brazil nuts Almonds Peanuts Total

Observed 5 6 6 3 20

Expected  40% 15% 20% 25% 1

Expected  8 3 4 5 20

     

Chi square 1.125 3 1 0.8 5.925

df = 3

p value = 0.1153

Since p value >0.0 we accept null hypothesis.

4 0
3 years ago
Find the surface area of the figure below. Leave answer in terms of π.
Artyom0805 [142]
The answer is D, 1000pi
Use SA=2πrh+2πr^2. 
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and you get <span>3141.59.
divide by Pi and you get 1000</span>
8 0
2 years ago
Read 2 more answers
Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 5
Fynjy0 [20]

Answer:

a(6) = 37.97

Step-by-step explanation:

If the first term a(1) is 5 and the common ratio r is 3/2, then the general formula for this geometric sequence is

a(n) = 5*r^(n - 1).

Thus, the 6th term is a(6) = 5*(3/2)^(6 - 1), or a(6) = 5(3/2)^5 = 37.97

5 0
2 years ago
36% of what number is 18? SHOW YOUR WORK
Murljashka [212]
So 36% of x is 18
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'of' can be translated as muitiply
0.36 times x=18
divide both sdies by .36
x=50
the number is 50
8 0
3 years ago
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