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3 years ago

Figure PQRS is a rectangle. Which statement in not necessarily true:

Mathematics

1 answer:

pantera1 [17]3 years ago

3 0

Answer:

D: PQ is congruent to QR

Step-by-step explanation:

In a rectangle, there are a few statements that are always true. Opposite sides are congruent and parallel and all angles meet at 90 degrees. However, adjacent sides (sides that are touching/share a vertex) are not necessarily congruent. They can be; if they are then that rectangle is a square. Nevertheless, if adjacent sides are not congruent, then it is still a rectangle, so long as they meet at a right angle.

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Please help me with these problems. This is not multiple choice. Part 3

Ivan

9514 1404 393

Answer:

5. 8 ft

6. y = 47x +110; 533 students in 2019

Step-by-step explanation:

4. Answered for you previously. See brainly.com/question/21087377.

Given:

triangular garden with base 7 ft and area 28 ft^2

Find:

height of the triangle

Solution:

The formula for the area of a triangle is ...

A = 1/2bh . . . . . where A is the area, b is the base length, and h is the height

Multiplying by 2/b, we can get a formula for the height. Using this formula, we can solve the problem.

h = 2A/b

We can let h represent the height, and fill in the given data.

h = 2(28 ft^2)/(7 ft)

h = 8 ft

The height of the triangle is 8 feet.

Given:

(0, 110), (5, 345) . . . . . where the points represent ...

(years after 2010, students using the hotline)

Find:

a linear model for the data

the number of students predicted for 2019

Solution:

The 2-point form of the equation for a line is ...

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

where the points are (x1, y1) and (x2, y2). Using the given points, our linear model is ...

y = (345 -110)/(5 -0)(x -0) +110

y = 47x +110 . . . . the linear model, where ...

y is the number of students using the hotline

x is the number of years after 2010

In 2019, x = 9, so y = ...

y = 47(9) +110 = 423 +110 = 533

The number of students predicted to use the hotline in 2019 is 533.

5 0

3 years ago

Read 2 more answers

What is the gcf of 12 78 and 90

Anuta_ua [19.1K]

The greatest common factor of 12, 78, and 90 is 6.

Factors are the numbers, that when multiplied with another number, equal the product.

Factors of 12: 1, 2, 3, 4, 6, and 12.
Factors of 78: 1, 2, 3, 6, 13, 26, 39, and 78.
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 20, 45, and 90.

The Greatest Common Factor is the highest factor shared among the products. Thus proving 6 is the GCF.

I hope this helps!

7 0

3 years ago

Which triangle has no equal sides?

emmasim [6.3K]

Answer:

scalene triangle

Step-by-step explanation:

A scalene triangle has three different angles and none of its sides are equal in length.

8 0

3 years ago

20 is 50% of what number? If necessary, round to the nearest tenth. Is it 10.0?

liq [111]