1. (x + 2) < −3(x + 4) 2. −3x + 3

A triangle can contain 1 or less obtuse angles Indirect proof

son4ous [18]

Answer:

Well, if we know that an obtuse angle is an angle greater than 90 degrees, and that a triangle's angles MUST sum up to 180 degrees and contain three angles. Then it logically follows that there's no way for a triangle to have 3 angles AND have two of the three be greater than or equal to 90 degrees as the remaining angle would have to be zero degrees or some "negative angle"- which I am pretty sure doesn't exist lol! As for a proof, I think you can cook up something with what I have given you so far :)

7 0

3 years ago

Determine which of the following situations requires the distributive property in order to simplify the expression. Select all s

Westkost [7]

9(x + y)
(7 - a )(b)

9(x ∙ y), the distributive property is not used because (x ∙ y) = xy which means that only one term can be multiplied by the term outside the parenthesis.

(7 ∙ a)(b), the distributive property is not used because (7 ∙ a) = 7a which means that only one term can be multiplied by the term outside the parenthesis.

3 0

3 years ago

A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The neighborhood is considering how

Montano1993 [528]

Answer:

The triangle and trapezoid area formulas have One-half in them.

In the trapezoid formula, the bases are added.

Step-by-step explanation:

Topic: Plane Shapes

Basically, the requirement of the question is to compare area of shapes. The shapes are

Trapezoid
Triangle
Parallelogram
Rectangle

The Area of a Trapezoid is $(\frac{a + b}{2} )h$ where a and b are the bases of the trapezoid and h is the height

The Area of a Triangle is $\frac{bh}{2}$ where b and h are the base and the height of the triangle respectively

The Area of a Parallelogram is $b * h$ where b and h are the bases and the height of the parallelogram

The Area of a Rectangle is $l * b$ where l and b are the length and the breadth of the triangle respectively

Checking option a through e

A. The triangle and trapezoid area formulas have One-half in them.

True; Area of a Triangle is $\frac{bh}{2}$ while Area of a Trapezoid is $(\frac{a + b}{2} )h$

B. The parallelogram and rectangle formulas are both the same.

False; Area of a Parallelogram is $b * h$ while Area of a Rectangle is $l * b$

C. In the parallelogram formula, the bases are added.

False; The basis are not added

Area of a Parallelogram is $b * h$

D. In the trapezoid formula, the bases are added.

True; Area of a Trapezoid is $(\frac{a + b}{2} )h$

E. In the triangle formula, the sides are added, then multiplied by One-half.

False; Area of a Triangle is $\frac{bh}{2}$

4 0

3 years ago

Read 2 more answers

the tax rate on Harriet Walker's $80,000 vacation home is 20 mills. The property is assessed at full value. How much will Harrei

Andrew [12]

The answer is $1,600

4 0

4 years ago

3 \frac{1}{4}[/tex] = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D" id="TexFormula1" title="\frac{1}{2}" alt="\frac{1

adelina 88 [10]

Answer:

Look below

Step-by-step explanation:

Conversion a mixed number 3 1/

4

to a improper fraction: 3 1/4 = 3 1/

4

= 3 · 4 + 1/

4

= 12 + 1/

4

= 13/

4

To find new numerator:

a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/

4

= 12/

4

b) Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13

c) Write a previous answer (new numerator 13) over the denominator 4.

Three and one quarter is thirteen quarters

Conversion a mixed number 2 1/

3

to a improper fraction: 2 1/3 = 2 1/

3

= 2 · 3 + 1/

3

= 6 + 1/

3

= 7/

3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/

3

= 6/

3

b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one third is seven thirds

Add: 13/

4

+ 7/

3

= 13 · 3/

4 · 3

+ 7 · 4/

3 · 4

= 39/

12

+ 28/

12

= 39 + 28/

12

= 67/

12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 3 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - thirteen quarters plus seven thirds = sixty-seven twelfths.

3 0

3 years ago

1. (x + 2) < −3(x + 4) 2. −3x + 3 < 6