the ratio of the measures of three angles in a triangle is 10:3:7 find the measure of the largest angle
1 answer:
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
= 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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Step-by-step explanation:
Below is an attachment containing the solution.
The proportion of the recipe required to make the grocery list is obtained from the recipe for the beans soup.
The grocery list is therefore;
- <u>15 cups of honey beans</u>
- <u>9 cups carrots</u>
- <u>12 cups cherry tomato</u>
- <u>192 oz. vegetable broth</u>
- <u>10.5 cup turnips</u>
- <u>6 teaspoon salt</u>
- <u>8 cups potato onions</u>
- <u>1.25 teaspoons thyme</u>
- <u>12 teaspoons garlic</u>
Reason:
Amounts of beans soup Sam wants to make = 4 gallons
<em>The recipe for the beans soup is as follows as obtained from an online home work document are</em>;
<em>Vegetable Bean Soup that Serves 4 with volume of 0.</em><em> gallons</em>
<em>1.25 cups of honey beans</em>
<em>0.75 cup carrots</em>
<em>1 cup cherry tomato</em>
<em>16 oz. vegetable broth</em>
<em>0.875 cup turnips</em>
<em>0.5 teaspoon salt</em>
<em /><em> cup potato onions</em>
<em>0.125 teaspoon thyme</em>
<em>1 teaspoon garlic</em>
The amount of each ingredient Sam needs is given by the ratio of amount of soup Sam wants to make and the given amount of soup made by the ingredients as follows;
Therefore, Sam has to buy twelve times the amount of each ingredient as follows;
Vegetable Bean Soup that Serves 4 with volume of 0. gallons
12 × 1.25 = 15 cups of honey beans
12 × 0.75 = 9 cups of carrots
12 × 1 = 12 cups of cherry tomato
12 × 16 = 192 oz. vegetable broth
12 × 0.875 = 10.5 cup turnips
12 × 0.5 = 6 teaspoon salt
12 × = 8 cups of potato onions
12 × 0.125 = 1.25 teaspoons thyme
12 × 1 = 12 teaspoons garlic
The grocery list is therefore;
- 15 cups of honey beans
- 9 cups carrots
- 12 cups cherry tomato
- 192 oz. vegetable broth
- 10.5 cup turnips
- 6 teaspoon salt
- 8 cups potato onions
- 1.25 teaspoons thyme
- 12 teaspoons garlic
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