in the diagram, PQRS is a parallelogram. QRT is a straight line. Based on the diagram, state the values of x,y and z.

Answer:

[tex]\displaystyle [-2, -1][/tex]

Step-by-step explanation:

To use the Elimination method, you must get rid of one pair of variables, so that one side is set to zero. So, in this case, we must get rid of [tex]\displaystyle x,[/tex]therefore we will split the second equation in negative half :

[tex]\displaystyle \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}[y = 4x + 7]}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}y = -2x - 3\frac{1}{2}}} \right. \\ \\ \frac{1}{2}y = -\frac{1}{2}; -1 = y, -2 = x \\ \\ \\ \boxed{[-2, -1]}[/tex]

I am joyous to assist you at any time.

To find a y term, find the absolute value of the x term (|x|).

Absolute value - the distance between 0 and a number. The absolute value of a number will always be equal to the positive form of the number (if it isn't already positive).

Some examples: The absolute value of 18 is 18. The absolute value of -10 is 10.

Find the absolute value of each x term to find y:

x ⇒ y

-2 ⇒ 2

-1 ⇒ 1

0 ⇒ 0 (the absolute value of 0 is always 0)

1 ⇒ 1

2 ⇒ 2

I hope this helps!

Answer:

1. 93 m is the length of the rectangular garden.

2. The width of the window is 72 cm.

Step-by-step explanation:

Answer:

m = x / n

n = 15

Step-by-step explanation:

Number of chairs per row = m

Number of rows = n

Number of people = x

Number of chairs per row, m = number of people, x / Number of rows, n

m = x / n

If number of attendees, x = 60 ;

Number of chairs per row, m = 4

The number of rows, n = number of attendees / number of chairs per row, m

Hence, n = 60 / 4 = 15 rows

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

7(p+2)=5(p+4)

By distributive law

The eqn becomes :

7p + 14 = 5p + 20

collecting like terms ;

7p - 5p = 20 - 14

=> 2p = 6 and

:- P = 3 ( dividing both sides by 2)

P= 3 is the only solution to the equation above and it satisfies the equation.

Answer:

t x 1/8 = n 1/8 = 0.125 in decimal form!!

Step-by-step explanation:

Answer:

no, it is not

if it were a right triangle, 10² + 17² = 18²

but this is not the case

Step-by-step explanation:

we would use Pythagoras theorem to determine if it is a right angle

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² + 17² =

100 + 289 = 389

square root of 389 is 19.72 and not 18. thus, it is not a right triangle

Answer:

$81.6

Step-by-step explanation:

(1,360.00)(6%)=81.6

formula 3.35 times something

Answer:

B.

Step-by-step explanation:

Perpendicular lines intersect at exactly one point.

(perpendicular lines form an x with right angles)

Answer:

i would guess

Step-by-step explanation:

Answer:

no.of boys is 45

Step-by-step explanation:

here, let the number of boys and girls be 5x and4x

ATQ,

5x=4x+9

or,5x-4x=9

or,x=9

then, the number of boys is 9×5=45

and the number of girls is 9×4=36..

Answer:

53

Step-by-step explanation:

complementary angle meaning it needs to have the whole sum of 90 degree.

90-37=53

Answer:

B) 13

Step-by-step explanation:

Average age means to calculate mean:

Mean = (Sum of all numbers)/(Number of numbers)

Mean = (14 + 14.5 + 12 + 11.5 + 15 + 13 + 10.5 + 13.5)/8

Mean = (104)/8

Mean = 13

Answer:52.1

Step-by-step explanation:

adj/hyp= x/57

cos 24=x/57

57 cos 24=x

x=52.0721= 52.1 FT

Answer:

Plz subscribe my Gaming channel Sameer Duos

Step-by-step explanation:

The correct answer is whole number

Answer:

a) 22.6

b) 23

Step-by-step explanation:

a)

Step 1: 18 + 9 + 7 + 35 + 30 + 21 + 33 + 12 + 30 + 31 = 226

Step 2: 226/10 = 22.6

b)

Step 1: 226+27 = 253

Step 2: 253/11 = 23

Answer:

23

Step-by-step explanation:

Because 2 dollar each cup. so 2 times 23 is $46. 5 star if this help thanks:)

Answer:5 or 5 degrees

Step-by-step explanation:

the box means 90 degree so if you divide 45 with 90 you get 2

2 divided by 10 = 5

Answer:

x = y = 10

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x × [tex]\sqrt{2}[/tex] = 10[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

x = 10

Since the base angles are 45° then the triangle is isosceles and the 2 legs are congruent, then

x = y = 10

Answer A

Step-by-step explanation: 2+2=22-55= -12-5= -7 then take away the negative then look outside and u should see a tree. Your final answer should be s=1/7t

Answer:

3.25 or 3 and 1/4

Step-by-step explanation:

The algebraic equation is 2x = 6.5.

Divide by 2 to get your answer.

6.5 divided by two is 3.25.

x = 3.25

Answer:

3.25

Step-by-step explanation:

just take away the 25 and multiply it that way

Plz give me brainllest

Answer:

sector GPH = 16π yd²

Step-by-step explanation:

area of full circle = πr² = (π)(12²) = 144π yd²

area of 40° segment = (40/360)(144π) = 16π yd²

Answer:

The measure of the side [tex]QR[/tex] is 8.8.

Step-by-step explanation:

Since [tex]LMNO \sim PQRS[/tex], then [tex]SP \propto OL[/tex], [tex]RS \propto ON[/tex], [tex]RQ \propto MN[/tex] and [tex]QP \propto LM[/tex]. From figure we have the following relationship:

[tex]k = \frac{OL}{SP} = \frac{ON}{RS} = \frac{MN}{QR} = \frac{ML}{QP}[/tex] (1)

Where [tex]k[/tex] is the proportionality ratio.

If we know that [tex]SP = 13, OL = 55, MN = 37[/tex], then the measure of side [tex]QR[/tex] is:

[tex]k = \frac{OL}{SP}[/tex] (1b)

[tex]k = \frac{55}{13}[/tex]

[tex]k = \frac{MN}{QR}[/tex]

[tex]QR = \frac{MN}{k}[/tex] (1c)

[tex]QR = \frac{37}{\frac{55}{13} }[/tex]

[tex]QR = 8.745[/tex]

The measure of the side [tex]QR[/tex] is 8.8.

Answer:

Yes, it makes a triangle.

Step-by-step explanation:

When I used a measuring stick, it does create a triangle.  

Answer:

B or C

Step-by-step explanation:

Now this one is very very confusing for me but i'm leaning more to B, if someone else gets a different answer though i would listen to them, but it's one of those two but i think its B.

Answer:

Step-by-step explanation:

Area of a parallelogram is base x height

The base of the given parallelogram is 9 inches and the height is 7.5 inches

So, its area would be

9 x 7.5

Area equals [tex]67.5^{2}[/tex]

Answer:

the answer should be 98

Step-by-step explanation:

try it

Answer:

solution given:

x²=20

x=±√20 is your answer

Answer:

2

Step-by-step explanation:

[tex]x^{2} =20\\x= ± \sqrt{20}[/tex]