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3 years ago

Given:

Mathematics

1 answer:

matrenka [14]3 years ago

4 0

Answer:

A. If angles XYZ and RST are congruent, then they are vertical angles.

Step-by-step explanation:

hope its right cuz on the test i got an 80% cant see the answers sorry :/

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Nth term sequences, please may I get some help. 15 p.

Dovator [93]

Answer:

$(n+2)^2+6$

Step-by-step explanation:

Pattern 1 consists of

$3+3\times 3+3$ small squares (here n = 1 and $3\times 3=(1+2)\times (1+2)$ ).

Pattern 2 consists of

$3+4\times 4+3$ small squares (here n = 2 and $4\times 4=(2+2)\times (2+2)$ ).

Pattern 3 consists of

$3+5\times 5+3$ small squares (here n = 3 and $5\times 5=(3+2)\times (3+2)$ ).

Thus, pattern n consists of

$3+(n+2)\times (n+2)+3=6+(n+2)^2$ small squares.

3 0

3 years ago

X + y = -1<br> 4x - 2y = -16

djyliett [7]

Answer:

$x=-3 \\and\\ y=2$

Step-by-step explanation:

$x + y = -1$ Equation:1

$4x - 2y = -16$ Equation:2

Solving Equation:1

$x+y=-1$

Subtracting 'y' from both the sides:

$x+y-y=-1-y\\\\x=-1-y$

Putting 'x' in Equation :2

$4(-1-y)-2y=-16\\\\-4-4y-2y=-16\\\\-4-6y=-16$

Adding '4' both the sides

$-6y=-16+4\\\\-6y=-12\\\\y=-12/-6\\\\y=2$

Putting the value of 'y' in equation:1

$x+y=-1$

$x+(2)=-1\\\\x=-1-2\\\\x=-3\\$

The solution is:

$x=-3 \\and\\ y=2$

6 0

2 years ago

Would appreciate the help 24 points

andre [41]

Answer:

13) Rectangle

14) parallelogram

15) co ordinates areD (0,a) andE (c,b)

16) co ordinates are D(0,b) and E(a,0)

17)(-1,1) (4,1) (-1,4)

18)(0,0) (a,0) (a,a) (0,a)

Step-by-step explanation:

<h3>13)</h3><h3>Rectangle</h3>

The opposite sides of a rectangle are parallel and equal

left height = right height

(by using distance formula)

(0,3),(2,-2) = (5,5),(7,0)

√(2-0)²+(-2-3)² = √(7-5)²+(0-5)²

√(2)²+(-5)² = √(2)²+(-5)²

√4+25 = √(2)²+(-5)²

√29 = √29 hence equal

<h3>14)</h3><h3>parallelogram</h3>

The opposite sides of a rectangle are not equal

left height = right height

(by using distance formula)

(0,0),(3,-4) = (3,4),(7,0)

√(3-0)²+(-4-0)² = √(7-3)²+(0-4)²

√(3)²+(-4)² = √(5)²+(-4)²

√9+16 = √(25)+(16)

√(25) ≠√41

5 ≠ √41

<h3>15)</h3><h3>co ordinates are D(0,a) and E(c,b)</h3><h3>16)</h3><h3>co ordinates are D(0,b) and E(a,0) </h3>

since rhombus have equal opposite sides

6 0

3 years ago

A group spends $277.50 to rent a total of 15 tubes. How many of each type of tube does the group rent?

tensa zangetsu [6.8K]

The amount spent on each tube is $18.5

The total amount spent to rent 15 tubes by the group is $277.50.

Since they did not specify in the question the types of tubes they rented, we cannot determine each types of tubes that the group rented but we can determine the amount spent on each tube provided that they are all the same types.

∴

if 15 tubes = $277.50

1 tube = $x

By cross multiplying:

$\mathbf {\$(x) = \dfrac{ \$277.50 \times 1 \ tube }{15 \ tube}}$