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3 years ago

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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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 $B + 2A =12$

$B + 2(14 - 2C ) = 12$

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$B = 4C - 28 +12$

$B = 4C -16$

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:

$Apple \to 4$

$Banana \to 4$

$Cherry \to 5$

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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

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Step-by-step explanation:

Let y= Number of sour straws.

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Total cost = 7.50+1.50y

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

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Subtract 7.50 from both sides

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