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svetoff [14.1K]
3 years ago
13

I did the first one I need help on this that’s all

Mathematics
2 answers:
True [87]3 years ago
7 0

The three angles of a triangle sum to 180 degrees.

Angle A + Angle B + Angle C = 180

(5x-25) + (2x+10) + (3x+5) = 180

Combine like terms:

10x -10 = 180

Add 10 to both sides:

10x = 190

Divide both sides by 10:

X = 190/10

X = 19

Now you have a value for x, find the angles:

Angle A = 5x-25 = 5(19)-25 = 95-25 = 70

Angle B = 2x +10 = 2(19) + 10 = 38 +10 = 48

Angle C = 3x +5 = 3(19) +5 = 57 + 5 = 62

70 + 48 + 62 = 180

Alenkasestr [34]3 years ago
6 0

Answer:

m<A = 70 deg

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180 deg. Add the three measures and set equal to 180. Solve for x. then use the value of x and the expression for m<A to find the measure of angle A.

m<A + m<B + m<C = 180

5x - 25 + 2x + 10 + 3x + 5 = 180

10x - 10 = 180

10x = 190

x = 19

m<A = 5x - 25 = 5(19) - 25 = 95 - 25 = 70

Answer: m<A = 70 deg

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The weight of an organ in adult males has a​ bell-shaped distribution with a mean of 320 grams and a standard deviation of 45 gr
irina1246 [14]

Answer:

a) 99.7%

b) 68%

c) 68% of organs weighs between 275 and 365 grams, so 32% of organs weighs will be less than 275 or more than 365 grams.

d) 81.5% of organs weighs between 290 grams and 365 grams.

Step-by-step explanation:

A) 99.7% of organs will be between 3 standard deviation from the mean.

320 - 3 \times 45 = 185

320 + 3 \times 45 = 455

So 99.7% of organs will be between 185 and 455.

B) 275 grams and 365 grams are 1 standard deviation from the mean.

From empirical rule about 68% data falls within 1 standard deviation from the mean.

So 68% of organs weighs btwn 275 grams and 365 grams.

C) Since 68% of organs weighs between 275 and 365 grams, so 32% of organs weighs will be less than 275 or more than 365 grams.

D) 230 is 2 standard deviation below the mean and 365 is one standard deviation above the mean.

According to the empirical rule, 95% of the observation lies within 2 standard deviations of the mean. Therefore 5% lies outside 2 standard deviations of the mean.

So 95%/2 = 47.5% of organs weighs between the mean and 230 grams.

According to the empirical rule about 68% data falls within one standard deviation from the mean.

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So total = 47.5% + 34% = 81.5% of organs weighs between 290 grams and 365 grams.

7 0
3 years ago
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