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natka813 [3]
3 years ago
8

the ratio of the measures of three angles in a triangle is 10:3:7 find the measure of the largest angle

Mathematics
1 answer:
emmainna [20.7K]3 years ago
4 0

Answer:

90°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the parts of the ratio 10 + 3 + 7 = 20

divide 180 by 20 to find the value of one part of the ratio

\frac{180}{20} = 9° ← 1 part of the ratio

the largest angle is the one with 10 parts of the ratio, hence

10 parts = 10 × 9° = 90° ← largest angle


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An avid golf fan recorded the scores of 75 golfers on the ninth hole of the Cottonwood Golf Course as follows :
Vadim26 [7]

Answer:

<u>The correct answer is 3.77 strokes as the average score for the ninth hole of the Cottonwood Golf Course.</u>

Step-by-step explanation:

1. To find the average score, we need to know how many strokes the 75 golfers needed to play this ninth hole. For doing that, we will do the following addition, using the frequency data given:

1 x 1 = 1

1 x 2 = 2

32 x 3 = 96

27 x 4 = 108

8 x 5 = 40

6 x 6 = 36

1 + 2 + 96 + 108 + 40 + 36

<u>283</u>

<u>This means that all the 75 golfers scored 283 strokes for playing the ninth hole</u>

2. Now that we know that the total number of strokes was 283, we will do a division for find the average score, using also the number of golfers. For doing it, we will do the following division:

Total number of strokes/ total number of players

<u>283/75 = 3.77</u>

<u>The average score is 3.77. It means that the 75 golfers in average hit 3.77 strokes to play the ninth hole.</u>

3 0
3 years ago
Find the missing value<br> 8<br> 14<br> 45 <br> 15
alekssr [168]

Answer:

The correct option is B.

Step-by-step explanation:

From the given figure it is nices that the length of sides AB, BC and AC are 20, 22 and 35. The line AD is angle bisector.

Let the missing value be x.

The Triangle Angle Bisector Theorem states that the angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

Since AD is angle bisector, therefore

\frac{AB}{AC}=\frac{BD}{CD}

\frac{20}{35}=\frac{22-x}{x}

20x=35(22-x)

20x=770-35x

Add 35x both sides.

55x=770

Divide both sides by 55.

x=\frac{770}{55}

x=14

Therefore, second option is correct.

6 0
3 years ago
For the functions f(x) = 2x + 2 and g(x) = 7x + 1, which composition produces the greatest output? a) Both compositions produce
Usimov [2.4K]
So subsitue and try so
f(g(x))=2(7x+1)+2
g(f(x))=7(2x+2)+1

multiply them out
f(g(x))=2(7x+1)+2=14x+2+2=14x+4
g(f(x))=7(2x+2)+1=14x+14+1=14x+15
14x+15>14x+4
therefor
g(f(x))>f(g(x))

the answer is D g(f(x)) produces the greatest output
6 0
3 years ago
Read 2 more answers
A community hall is shape of a cuboid. The hall is 40 m long, 15 m wide and 3 m high. The community hall needs re-decorating wit
Licemer1 [7]
Total cost for tiles and paints is $924.
Step-by-step explanation:
We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m high and 3m wide.
The paint will be required for 4 walls and ceiling.
Let us find area of walls and ceiling.



Therefore, the area of walls and ceiling is 1410 square meters.
Given: Cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. Therefore,


Therefore, the total painting cost is $564.
Tiles will be required for floor. Let us find the area of floor.


Given: 1m squared floor tiles costs $3. So,

Therefore, the total cost for tiles is $360.
Now let us find combined total cost of tiles and paint.

Therefore, the combined total cost of tiles and paint is $924.
3 0
3 years ago
mason made 5 quarts of salsa which of the following can be used to find the number of cups of salsa mason made
RUDIKE [14]

Answer:

I think its 20 cups, it doesn’t have a link for ‘the following’

probably not right I’m dum

8 0
3 years ago
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