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3 years ago

From the first step of the construction, drawing the arcs on both rays establishes that AB is

Mathematics

1 answer:

leonid [27]3 years ago

7 0

Answer: The answer is “Congruent to AC” !! When you are making an arc on both rays, they should measure/be exactly the same, and even more exact is you are using a compass

Step-by-step explanation:

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Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2). What is the area of the triangle? a 18 square units b 9 square unit

natka813 [3]

Answer:

Option C. 6 square units

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

Let

a,b,c be the lengths of the sides of a triangle.

The area is given by:

$A=\sqrt{p(p-a)(p-b)(p-c)}$

where

p is half the perimeter

p= $\frac{a+b+c}{2}$

we have

Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

$d=\sqrt{(-3-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(-4)^{2}+(0)^{2}}$

$dAB=4\ units$

step 2

Find the distance BC

$d=\sqrt{(-2+3)^{2}+(1+2)^{2}}$

$d=\sqrt{(1)^{2}+(3)^{2}}$

$dBC=\sqrt{10}\ units$

step 3

Find the distance AC

$d=\sqrt{(-2-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-3)^{2}+(3)^{2}}$

$dBC=\sqrt{18}\ units$

step 4

$a=AB=4\ units$

$b=BC=\sqrt{10}\ units$

$c=AC=\sqrt{18}\ units$

Find the half perimeter p

p= $\frac{4+\sqrt{10}+\sqrt{18}}{2}=5.70\ units$

Find the area

$A=\sqrt{5.7(5.7-4)(5.7-3.16)(5.7-4.24)}$

$A=\sqrt{5.7(1.7)(2.54)(1.46)}$

$A=\sqrt{35.93}$

$A=6\ units^{2}$

7 0

3 years ago

!!50 POINTS!! Better Buy?

olchik [2.2K]

Answer:

The best buy item is the Frito-Lay mi Variety Pack. Going for only 0.35 per item.

Step-by-step explanation:

All I did was the equations and then I compared the answer, the lowest answer is the best buy since it is the lowest price found.

Frito-Lay:

9.88/28 = 0.35

Unit rate is 35 cents

Pringles:

6.48/18 = 0.36

Unit rate is 36 cents
Pack of 18:

11.21/18 = 0.6

Unit rate is 60 cents

Pack of 24:

15.85/24 = 0.66

Unit rate is 66 cents

GC:

14.75/30 = 0.49

Unit rate is 49 cents

Sweet Treats:

10.75/25 = 0.43

Unit rate is 43 cents

Comparing all of this data, it can easily be seen that the Frito-Lay mi Variety Pack is the best deal you can find out of these 6 deals.

7 0

2 years ago

Read 2 more answers

A regular assignment has 15 sides.Calculate the size of each interior angle

MariettaO [177]

Answer:

The measure of an interior angle of a regular 15-gon is 120°.

Step-by-step explanation:

We need to determine the measure of the size of an interior angle of a regular 15-gon having 15 sides.

Thus,

The number of sides n = 15

Hence,

Using the formula to determine the measure of an interior angle of a regular 15-gon is given by

(n - 2) × 180° = n × interior angle

substitute n = 15

(15 - 2) × 180 = 15 × interior angle

13 × 180 = 15 × interior angle

Interior angle = (10 × 180) / 15

= 1800 / 15

= 120°

Therefore, the measure of an interior angle of a regular 15-gon is 120°.

6 0

3 years ago

The shape below is constructed from six squares, and the lengths of the sides of the three smallest squares are written inside o

Maurinko [17]

Answer:

Step-by-step explanation:

Smallest square: 1

Small Square: 2, Area of 4

Mid Square: 3, Area of 9

Mid White Square: 5, Area of 25

Big Square: 8, Area of 64

1 + 4 + 9 + 64 = 78

5 0

3 years ago

Simplify completely quantity 4 x squared minus 32 x plus 48 all over quantity 3 x squared minus 17 x minus 6. (1 point)

Galina-37 [17]

Given rational expression is:

$\frac{(4x^2-32x+48)}{(3x^2-17x-6)}$

Now we can simplify this by factoring as shown below:

$=\frac{4(x^2-8x+12)}{(3x^2-17x-6)}$

$=\frac{4(x-2)\left(x-6\right)}{(3x^2-18x+1x-6)}$

$=\frac{4(x-2)\left(x-6\right)}{3x\left(x-6\right)+1\left(x-6\right)}$

$=\frac{4(x-2)\left(x-6\right)}{(3x+1)\left(x-6\right)}$

$=\frac{4(x-2)}{(3x+1)}$

Hence final answer is $\frac{4(x-2)}{(3x+1)}$

8 0

3 years ago