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3 years ago

Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:

Mathematics

2 answers:

solmaris [256]3 years ago

8 0

Answer:

Area = (x + 25)(x + 15) - 30

Explanation:

i took the test

lisov135 [29]3 years ago

3 0

Answer:

The answer to your question is Area = (x + 25)(x + 15) - 30

Step-by-step explanation:

Data

Patio bench

base = x + 25 base = 10

height = x + 15 height = 3

Process

1.- Calculate the area of the patio considering the bench

Area 1 = (x + 25)(x + 15)

2.- Calcula the area of the bench

Area 2 = 10 x 3 = 30

3.- Calculate the area of the patio

Area = Area 1 - Area 2

-Substitution

Area = (x + 25)(x + 15) - 30

You might be interested in

Which of the following theorems verified that angle xyz is congruent too angle uwv?

icang [17]

Answer:

Option B. AA

Step-by-step explanation:

we know that

Angle-Angle (AA) Similarity Postulate, states that If two angles of one triangle are congruent to two angles of another, then the triangles must be similar

In this problem

In the triangle XYZ

∠X=70°

∠Y=90°

∠Z=90°-70°=20° (remember that angle X and angle Z are complementary)

In the triangle UWV

∠V=20°

∠W=90°

∠U=90°-20°=70° (remember that angle V and angle U are complementary)

therefore

Traingles XYZ and UWV are similar by AA Similarity Postulate

3 0

3 years ago

Calculate the area of triangle ABC with altitude CD, given A(−7, −1), B(−1, 5), C(0, 0), and D(−3, 3). 9 square units 18 square

Kruka [31]

9514 1404 393

Answer:

18 square units

Step-by-step explanation:

Referring to the figure, we see that the base AB has a slope of 1, and the altitude CD has a slope of -1. The number of unit squares crossed by these segments are, respectively 6 and 3, so the length of each is ...

AB = 6√2

CD =3√2

The area is half the product of the base (AB) and height (CD) so is ...

A = 1/2bh = (1/2)(6√2)(3√2) = 18

The area of ΔABC is 18 square units.

_____

Additional comment

It is useful to remember that the diagonal of a unit square is √2. We used that fact here. If you need to figure it using the Pythagorean theorem, you find ...

c² = a² +b²

c = 1² +1² = 2

c = √2