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andre [41]
3 years ago
10

The measures of the angles of a triangle are in the ratio 6: 3: 7. Determine the measure, in

Mathematics
1 answer:
erik [133]3 years ago
5 0

Answer:

Step-by-step explanation:

If the ratio of triangle = 6:3:7

Total ratio = 6+3+7 = 16

The sum of angle in a triangle is 180°

1st angle= 6/16 × 180 = 6 × 11.25

= 67.5°

2nd angle= 3/16 × 180 = 3 × 11.25

= 33.75°

3rd angle= 7/16 × 180 = 7 × 11.25

= 78.75°

Largest is 78.75° and smallest is 33.75°

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Faith needs 4 cups of fruit for a smoothie.
Snezhnost [94]

Answer:

We have two fruits so we have following  choices to make exactly 4 cups of fruits:


Blueberry                  Orange

0                                   4    

1                                    3

2                                    2

3                                     1

4                                     0

In case 1: when she is using 4 cup of oranges so no need of blueberry.

In case 2: when she is taking 3 cup of oranges she will use 1 cup of blueberry to get exactly 4 cups of fruits.

case 3: when she is taking 2 cup of oranges she will use 2 cup of blueberries to get exactly 4 cups of fruits.

case 4: when she is taking 1 cup of orange she will use 3 cup of blueberries to get exactly 4 cups of fruits.

case 5: when she is taking 0 cup of orange she will use 4 cup of blueberries to get exactly 4 cups of fruits.

3 0
3 years ago
Which pair of angles must be congruent
MaRussiya [10]
I thin kthe answer your looking for is Vertical angles. Hope i helped! Brainliest?
and i know its ccorect becuase because the interior angles of vertical angles are congruent.
8 0
4 years ago
Which method correctly solves the equation using the multiplication property of equality and the reciprocal of One-third? One-th
Airida [17]

Answer:

Step-by-step explanation:

Given the equation \frac{1}{3}(x+9) = -12

Step 1;

Expand the bracket at the right hand side of the equation to have:

\frac{1}{3}x +\frac{1}{3}(9) = -12\\\frac{1}{3}x+3=-12\\subtracting\ 3\ from\ both\ sides\\\frac{1}{3}x+3-3=-12-3\\\frac{1}{3}x=-15\\

Taking the reciprocal of both sides:

\frac{3}{x} = \frac{-1}{15} \\ cross\ multiplying\\-x =45\\x=-45

4 0
3 years ago
Read 2 more answers
3. The path of an underground stream is given by the function y = 4x² +17x -32. Two
sineoko [7]

Answer:

The coordinate of the wells are

(-4 -\sqrt[]{\frac{53}{2}}, 70+15\sqrt[]{\frac{53}{2}})

(-4 +\sqrt[]{\frac{53}{2}}, 70-15\sqrt[]{\frac{53}{2}})

Step-by-step explanation:

The y coordinate of the stream is given by y = 4x^2+17x-32. Also, the y coordinate of the houses are determined by y=-15x+10. We will assume that the houses are goint to be built on the exact position where we build the wells. We want to build the wells at the exat position in which both functions cross each other, so we have the following equation

4x^2+17x-32 = -15x+10

or equivalently

4x^2+32x-42=0 (by summing 15x and substracting 10 on both sides)

Dividing by 2 on both sides, we get

2x^2+16x-21=0

Recall that given the equation of the form ax^2+bx+c=0 the solutions are

x = \frac{-b \pm \sqrt[]{b^2-4ac}}{2a}

Taking a =2, b = 16 and c = -21, we get the solutions

x_1 = -4 -\sqrt[]{\frac{53}{2}}

x_2 = -4 +\sqrt[]{\frac{53}{2}}

If we replace this values in any of the equations, we get

y_1 = 70+15\sqrt[]{\frac{53}{2}}

y_2 = 70-15\sqrt[]{\frac{53}{2}}

4 0
3 years ago
Lacey went to the fair. She paid $5 for the entrance fee. Each ride ticket cost $0.25. Lacey spent $12.50 at the fair. Which equ
Orlov [11]

Answer:

I  would divide

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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