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umka21 [38]
2 years ago
12

The area of triangle ABC is?

Mathematics
1 answer:
melisa1 [442]2 years ago
5 0

Answer:

A(\triangle ABC) =17.5 \:  {units}^{2}

Step-by-step explanation:

AB = 4 - (-3) = 4 + 3 = 7 units

BC = 3 - (-2) = 3 + 2 = 5 units

A(\triangle ABC) = \frac{1}{2} \times AB\times BC \\  \\ A(\triangle ABC) = \frac{1}{2} \times 7\times 5 \\  \\ A(\triangle ABC) = \frac{1}{2} \times 35 \\  \\ A(\triangle ABC) =17.5 \:  {units}^{2}

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Step-by-step explanation:

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Vertical lines m and n are intersected by lines k and j. At the intersection of lines m and k, the bottom right angle is (x minu
Nezavi [6.7K]

Using the same-side interior angles theorem, the values of x and y are:

x = 80

y = 130

<h3>What is the Same-side Interior Angles Theorem?</h3>

The same-side interior angles theorem states that two interior angles on same side of a transversal are supplementary.

(x - 30) and (x + 50) are same-side interior angles, therefore:

(x - 30) + (x + 50) = 180

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The sum of Rhonda and her daughter Tenica’s age is 64. The difference in their ages is 28. How old is each person?
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Answer:

The mother (Rhoda) is 46 years old.

The daughter (Tenica) is 18 years old

Step-by-step explanation:

Let the age of the mother (Rhoda) be m

Let the age of the daughter (Tenica) be d.

The sum of Rhonda and her daughter Tenica’s age is 64. This can be written as:

m + d = 64 ... (1)

The difference in their ages is 28. This can be written as:

m – d = 28 ... (2)

From the above illustrations, the equation obtained are:

m + d = 64 ... (1)

m – d = 28 ... (2)

Solving by elimination method:

Add equation 1 and 2 together

. m + d = 64

+ m – d = 28

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2m = 92

Divide both side by 2

m = 92/2

m = 46

Substitute the value of m into any of the equation to obtain the value of d. Here, we shall use equation 1

m + d = 64

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Collect like terms

d = 64 – 46

d = 18

Therefore, the mother (Rhoda) is 46 years old and the daughter (Tenica) is 18 years old.

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3 years ago
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