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lys-0071 [83]
3 years ago
11

The measure of the angles of a triangle are in the extended ratio 17 : 16 : 12. what is the measure of the largest angle?

Mathematics
2 answers:
murzikaleks [220]3 years ago
8 0
17x + 16x + 12x =180
45x = 180
x = 4
Largest angle = 17*4 = 68 degrees

Helen [10]3 years ago
5 0

Answer: 68^{\circ}

Step-by-step explanation:

Here, the ratio of the all three angles is 17 : 16 : 12

Let the measurements of the angles are, 17 x, 16 x and  12 x

Where x is any positive number.

Since, the sum of all three angles is 180°

Therefore, 17 x + 16 x + 12 x = 180^{\circ}

⇒ 45 x = 180

⇒ x = 4

Thus, the measurement of the largest number = 17 x = 17 × 4 = 68°

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Lostsunrise [7]

The midpoint of XY is -0.5

7 0
3 years ago
Sarah uses a recipe to make 2 gallons of juice. Two of the containers she plans to use to store the juice have a capacity of one
Allisa [31]

Answer:

14 pint containers.

Step-by-step explanation:

First we have to convert gallon to quart.

2 gallons = 8 quarts

There are 2 containers that added up to 1 quart, so let's subtract the one quart from the 2 gallons(8 quarts), leaving behind 7 quarts.

The conversion between quarts and pints are 1qt=2pt, according to the key you provided. Then 7 quarts will equal to 14 pints. And therefore, she will need 14 pint containers.

4 0
3 years ago
Lin ran 2 3/4 miles in 2/5 of an hour, Noah ran 8 2/3 miles in 4/3 of an hour, how far would Lin run in 1 hour?
Marizza181 [45]

Answer:

6\frac{7}{8}\ miles

Step-by-step explanation:

Given that Lil's distance in 2/5 hrs is 2 3/4hrs

-Let x be the distance ran in 1 hr.

#We equate and cross multiply to solve for x as follows:

\frac{2}{5}\ hrs=2\frac{3}{4}\\1\ hr=x\\\\\therefore x=2\frac{3}{4}/\frac{2}{5}\\\\=6\frac{7}{8}\ miles

Hence, Lil can run 6 7/8 miles in 1 hr.

5 0
2 years ago
Karen gave an equal amount of m and m's to herself and four friends. Each person receives m and m's equivalent to the largest on
Mariana [72]

Answer:

Karen had 45 m and m's candy.

Step-by-step explanation:

Let the number of m and m's candy be 'x'.

Now given:

Karen gave an equal amount of m and m's to herself and four friends.

So we can say that;

Number of people m and m's candy distributed equally = 5

Also Given:

Each person receives m and m's equivalent to the largest one digit number.

Now we know that;

Largest one digit number is 9.

So we can say that;

Each person receives m and m's = 9

We need to find number of m and m's Karen have.

Solution:

So we can say that;

Total number of m and m's Karen have is equal to Number of people m and m's candy distributed equally multiplied by number of m and m's can each person receives.

framing in equation form we get;

Total number of m and m's Karen had = 9\times5 = 45

Hence Karen had 45 m and m's candy.

8 0
2 years ago
Can someone please help me
pentagon [3]
The first one is 8 and here's a graph. the second one is 5 again here's a graph

7 0
3 years ago
Read 2 more answers
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