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3 years ago

What is the measure of the missing angle?

Mathematics

1 answer:

goblinko [34]3 years ago

4 0

Answer:

<u>The missing angle measures also 110°</u>

Step-by-step explanation:

Let's recall that If the transversal cuts across parallel lines (apparently, this particular case) then those alternate exterior angles have the same measure (.∠ 110° and ∠?) So in the figure given, the two alternate exterior angles measure the same.

<u>The missing angle measures also 110°</u>

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Find the coefficient of x^4 in the expansion of (1 + 2x + 3x^3)^10?

Lesechka [4]

$(1+2x+3x^3)^{10}$

The only possible configurations of terms that contribute to generating the $x^4$ term in the expansion are given by the multinomial theorem to be

$\left(\dbinom{10}{6,4,0}(1)^6(2x)^4(3x^3)^0+\dbinom{10}{8,1,1}(1)^8(2x)^1(3x^3)^1\right)x^4$

where

$\dbinom{10}{k_1,\ldots,k_m}=\dfrac{10!}{k_1!\cdots k_m!}$

Simplifying a bit gives a coefficient of

$\dbinom{10}{6,4,0}(2)^4+\dbinom{10}{8,1,1}(2)(3)$
$16\dbinom{10}{6,4,0}+6\dbinom{10}{8,1,1}$
$16\dfrac{10!}{6!4!0!}+6\dfrac{10!}{8!1!1!}$
$16(5\times3\times2\times7)+6(10\times9)=3900$

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3 years ago

The safety director of an insurance company took samples at random from his minor accidents file and classified them according t

lina2011 [118]

Answer:

Step-by-step explanation:

A. H0: accident are evenly distributed

H1: accident are not evenly distributed

B. The critical value is chi²(0.01,7) = 18.4753

C. The decision rule would be to reject h0 and accept h1 if the test statistic is higher than the critical value

D. Test statistic = summation (Oi-Ei)²/E

This gives 24.6 from the table.

E. Based on these calculations, test statistic is > than critical value

24.6> 18.4753

F. The inference is that accidents are not evenly distributed at 0.01 level of significance.

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3 years ago

Which expression is the best estimate of 1/5 times 24.5

butalik [34]

Answer:

Step-by-step explanation:

1.2 x 3.7 nearest tenth

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3 years ago

the cost of plastering a wall of a room having length 8m and heights 4m at 4s 15 per m² is rs 1560 . find the cost of carpeting

Virty [35]

Answer:

Here,

length = 8m

height = 4m

4s = 15 per m^2

Now,

300 per meter = 300 * 15 per m^2

= 4500 per m^2

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3 years ago

The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is paral

Vikki [24]

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The correct option is A.

<h3>What are vertical angles?</h3>

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

The proof can be completed as,
Given the information in the figure where segment UV is parallel to segment WZ.: Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively. According to the given information, segment UV is parallel to segment WZ, while ∠SQU and ∠VQT are vertical angles. ∠SQU ≅ ∠VQT by the Vertical Angles Theorem. Because ∠SQU and ∠WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, ∠VQT is congruent to ∠WRS by the Transitive Property of Equality.

Hence, the correct option is A.

Learn more about Vertical Angles:

brainly.com/question/24460838

#SPJ1

6 0

2 years ago

What is the measure of the missing angle?​

What is the measure of the missing angle?