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3 years ago

Help help what’s the value of x measure of c

Mathematics

2 answers:

garri49 [273]3 years ago

5 0

Answer:

(a) x = 29

(b) m∠C = 93°

Step-by-step explanation:

(a) The sum of the interior angles of a triangle = 180°

⇒ m∠A + m∠B + m∠C = 180

⇒ 35 + 52 + 3(x + 2) = 180

⇒ 87 + 3x + 6 = 180

⇒ 93 + 3x = 180

⇒ 3x = 87

⇒ x = 29

(b) As x = 29

⇒ m∠C = 3(29 + 2)

⇒ m∠C = 3 x 31

⇒ m∠C = 93°

ira [324]3 years ago

4 0

Answer:

x = 29

Angle C = 93°

Step-by-step explanation:

Since all of the interior angles of a triangle add up to 180° and we are given the values of angle A and angle B, we can find angle C by subtracting A and B from 180.

35 + 52 = 87

180 - 87 = 93

Thus, the measure of angle C is 93°.

Now that we know the measure of angle C, we can determine the value of x.

Set up an equation:

3(x + 2) = 93

3x + 6 = 93

3x = 87

x = 29

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1. Find the 90% Cl for the population mean if sample

Elden [556K]

Answer:

The answer is below

Step-by-step explanation:

mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65

Given that the confidence level (c) = 90% = 0.9

α = 1 - c = 0.1

α/2 = 0.05

The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65

The margin of error (E) is given as:

$E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.65*\frac{2.3}{\sqrt{65} } =0.47$

The confidence interval = μ ± E = 12 ± 0.47 = (11.53, 12.47)

mean (μ) = 23, SD(σ) = 12, sample size (n) = 45

Given that the confidence level (c) = 88% = 0.88

α = 1 - c = 0.12

α/2 = 0.06

The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56

The margin of error (E) is given as:

$E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.56*\frac{12}{\sqrt{45} } =2.8$

The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)

8 0

3 years ago

Jeremiah received $65 for his birthday and used part of it to buy 3 video games. The games cost the same amount, and he had $14

hram777 [196]

Jeremiah got $65 on birthday and spent some money on 3 video games and was left with $14.

He purchased 3 video games.

Let the cost one one video game be v.

The cost of each video game is same

So the cost of 3 video games is 3v.

Also he is left with $14 after paying for three games.

Hence

3v + 14 = 65

Subtracting 14 from both sides

3v + 14 -14 = 65-14

3v = 51

Dividing by 3 on both sides

v = 51/3

v = 17

Hence the cost of each video game is $17

5 0

3 years ago

Read 2 more answers

What percent of the respondents preferred dark chocolate or milk chocolate?

Wewaii [24]

80%, 1000-200 = 800/1000 or 80%

6 0

2 years ago

How do I find a common denominator for a complex faction when one denominator is 2m-1 and the other is 2m+5

ratelena [41]

The best option is to multiply them together, there would be no value that is common between the two, (2m - 1)(2m + 5), and leave it in this form.

However, there is a second method.
Notice how between the two sits a difference of 6.
You can manipulate one of the fractions to render the same denominator and work from there.

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3 years ago

NO LINKS!!! PLS HELP ME IM TRYING TO GRADUATE PLSSS !!! Find the midpoint of the segment below and enter its coordinates as an

Leto [7]

Answer:

x = 5/2 , y = -7/2

Step-by-step explanation:

r's your solution

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=> x = 5/2 , y = -7/2

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3 years ago