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pogonyaev
3 years ago
9

Plssss help me with this question!!!!

Mathematics
1 answer:
DIA [1.3K]3 years ago
4 0
<h3>Sum of two interior angles =exterior angle</h3>

\\ \sf\longmapsto x+14+x=32

\\ \sf\longmapsto 2x+14=32

\\ \sf\longmapsto 2x=32-14

\\ \sf\longmapsto 2x=18

\\ \sf\longmapsto x=\dfrac{18}{2}

\\ \sf\longmapsto x=9

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Which of the following expressions are equivalent to (x + y) - z
andrey2020 [161]

C: None of the above

7 0
3 years ago
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Are:
eimsori [14]

Step-by-step explanation:

a. The mean can be found using the AVERAGE() function.

x = 272.7

b. The standard deviation can be found with the STDEV() function.

s = 39.9

c. The t-score can be found with the T.INV.2T() function.  The confidence level is 0.04, and the degrees of freedom is 26.

t = 2.162

d. Find the lower and upper ends of the confidence interval.

Lower = 272.7 − 2.162 × 39.9 = 186.5

Upper = 272.7 + 2.162 × 39.9 = 358.9

4 0
2 years ago
Given that f(x) = x2 + 10x + 21 and g(x) = x + 7, find (f•g)(x) and express
sammy [17]

Answer:

<h2>(f.g)x =  {x}^{2}  + 24x + 140</h2>

Step-by-step explanation:

given \\ f(x) = x ^{2}  + 10x + 21 \: and \: g(x) = x + 7

as \: we \: know \: (f.g)x \: is \: same \: as

f(g(x))

so \:

f(x + 7) = ( x + 7) ^{2}  + 10(x + 7) + 21

f(x + 7) =  {x}^{2}  + 14x + 49 + 10x + 70 + 21

f(x + 7) = x^{2}  + 24x + 140

therefore

(f.g)x =  {x}^{2}  + 24x + 140

3 0
3 years ago
Triangle A B C is cut by line segment S T. Line segment S T goes from side A B to side C B. Lines S T and A C are parallel. The
maksim [4K]

Answer:

Option C.

Step-by-step explanation:

Given information: In triangle ABC, ST║AC, SB=10 ft, BT=9 ft and CT=2.7 ft.

Triangle proportionality theorem: If a line segment parallel to a side of a triangle then the line segments divides the remaining sides proportionally.

Using triangle proportionality theorem we get

\dfrac{SA}{SB}=\dfrac{CT}{BT}

\dfrac{SA}{10}=\dfrac{2.7}{9}

On cross multiplication we get

9\times SA=2.7\times 10

9SA=27

Divide both sides by 9.

SA=3

The length of SA is 3ft.

Therefore, the correct option is C.

8 0
3 years ago
Read 2 more answers
Which of the following statements about diversification is correct
Luba_88 [7]

Diversification means wide variety of different investment options available in the portfolio so that it becomes lesser risky towards minimizing losses in down market.

It provides better protection towards common issues like inflation, market instability, war effects, hike in exchange rates, interest rates reduction etc. So, we can conclude that :-

Diversification is the method to make investments less vulnerable to a catastrophic loss.

Hence, option A is best answer from given choices.

7 0
3 years ago
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