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NikAS [45]
3 years ago
14

The three angles of a triangle have

Mathematics
1 answer:
dexar [7]3 years ago
7 0

Answer:

56°, 84°, 40°

Step-by-step explanation:

The three angles of triangles have measures of 56°, (2x + 4)º, and xº.

We need to find the measures of the three  angles of the triangle.

We know that, the sum of angles of triangle is equal to 180º. Using this property we get :

56°+ (2x + 4)º + xº =180º

Solving for x.

60 + 3x = 180

3x = 120

x = 40º

Other angle, = 2x+4

= 2(40)+4

= 80+4

= 84º

So, the measures of the three  angles of the triangle are 56°, 84°, 40°. Hence, the correct option is (c).

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Using what you have learned about solving systems of equations, find the number that represents the apple, banana, and cherry.
sineoko [7]

Answer:

Apple \to 4

Banana \to 4

Cherry \to 5

Step-by-step explanation:

Given

A \to Apple

B \to Banana

C \to Cherry

From the rows, the equation is:

B + 2A  =12 --- (1)

2B + C = 13 --- (2)

A + 2C = 14 --- (3)

Make A the subject in: A + 2C = 14

A = 14 -2C

Substitute A = 14 -2C in B + 2A  =12

B + 2(14 - 2C ) = 12

B + 28 - 4C = 12

Make B the subject

B = 4C - 28 +12

B = 4C -16

Substitute B = 4C -16 in 2B + C = 13

2(4C - 16) + C = 13

8C - 32 + C = 13

Collect like terms

8C + C = 13+32

9C = 45

Divide by 9

C = 5

Recall that:

B = 4C -16

B =4*5-16

B =20-16

B =4

Recall that:

A = 14 -2C

A= 14 -2*5

A= 14 -10

A =4

Hence:

Apple \to 4

Banana \to 4

Cherry \to 5

3 0
2 years ago
Jamal has $15.00 to spend at the concession stand. He buys nachos for $7.50, and he wants to purchase some Sour Straws for $1.50
Simora [160]

Answer: Variable: <u>y= Number of sour straws.</u>

Inequality: <u>7.50+1.50y ≤ 15</u>

Solution<u>: </u><u>y ≤ 5</u>

Step-by-step explanation:

Let  y= Number of sour straws.

Cost for nachos = $7.50

Cost per sour straw = $1.50

Total cost = 7.50+1.50y

Money he has $15

Total cost must be less than orequal to the money he has.

So required inequality: 7.50+1.50y ≤ 15

Subtract 7.50 from both sides

1.5y\leq 7.5\\\\\Rightarrow\ y\leq\dfrac{7.5}{1.5}\\\\\Rightarrow\ y\leq 5

He can buy at most 5 sour straws.

8 0
2 years ago
The curve = 2 + + has a minimum point (3, 4). Using the squared completion method, find the value of p and the value of q.​
Anton [14]

Answer:

Do you got a pic so i could see it

Step-by-step explanation:

4 0
3 years ago
A wheel has a radius of 4 inches and travels as it spins. How far does the wheel travel
vaieri [72.5K]

The distance a tire travels is equal it it’s circumference.


circumference = pi x radius x 2

Circumference = 25.13 inches


Rounded to nearest inch = 25 inches

8 0
2 years ago
25% of a circle with radius 4 has the same area as what percent of a circle with radius 8?
Lynna [10]

Answer:

E, 50%

Step-by-step explanation:

3 0
2 years ago
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