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3 years ago

Triangle QRS has the angle measures shown.

Mathematics

1 answer:

galina1969 [7]3 years ago

7 0

Answer:

108 degrees

Step-by-step explanation:

Given the following angle measures in triangle QRS

m<Q = 1x

m<R = 3x

m<S = 6x

Note that the largest angle is the obtuse angle since they are always greater than 90 and less than 180 degrees

The sum of angle in a triangle is 180 degrees

m<Q + m<R + m<S = 180

1x + 3x + 6x = 180

10x = 180

x = 180/10

x = 18

The obtuse angle is 6x

Measure of the obtuse angle = 6x

Measure of the obtuse angle = 6(18)

Measure of the obtuse angle = 108 degrees

Hence the measure of the obtuse angle is 108 degrees

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A cyclist travels at an average speed of 18 mph for 2 hours.<br> How far did she travel in miles?

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

18 miles per hour so for 2 hours which is double, she should have traveled 36 miles.

Good Luck!

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3 years ago

A golfer keeps track of his score for playing nine holes of golf (half a normal golf round). His mean score is 8080 with a sta

solniwko [45]

Answer:

Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and $11\sqrt2$ respectively.

Step-by-step explanation:

Given that,

For the first 9 holes X:

E(X) = 80

SD(X)=13

For the second 9 holes Y:

E(Y) = 80

SD(Y)=13

For the sum W=X+Y, the following properties holds for means , variance and standard deviation :

E(W)=E(X)+E(Y)

and

V(W)=V(X)+V(Y)

⇒SD²(W)=SD²(X)+SD²(Y) [ Variance = (standard deviation)²]

$\Rightarrow SD(W)=\sqrt{SD^2(X)+SD^2(Y)}$

∴E(W)=E(X)+E(Y) = 80 +80=160

and

∴ $SD(W)=\sqrt{SD^2(X)+SD^2(Y)}$

$=\sqrt{11^2+11^2}$

$=\sqrt{2.11^2}$

$=11\sqrt2$

Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and $11\sqrt2$ respectively.

4 0

3 years ago

5. 20 yards how many meters show work<br>

Gnoma [55]

Answer:

18.288 meters = 20 yards to be approximate

(or 18 meters if you round)

Hope this helps:)

3 0

3 years ago

У=х+ 1<br> 2x+3y= 5<br> HELP ME

Diano4ka-milaya [45]

Answer:

x=2/5

Step-by-step explanation:

2x+3(x+1)=5

2X+3X+3=5

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5x=2

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4 0

3 years ago

HELP!!!!!:

Hatshy [7]

There are a total of 10 + 4 = 14 kg of syrup.

4 out of the 14 kg are sugar so the percentage is:

4/14 = 28.6%

Edit: The answer is correct. I don’t know why it was flagged as incorrect.

The total amount of ingredients in the syrup is 14 kg. Of the 14 kg, 4 kg is composed of sugar. So, 4 kg of sugar divided by the 14 kg of total weight will give you the percentage of sugar.

4/14 = 0.285714285714286

With an additional significant figure, the answer is 28.57%

7 0

3 years ago