The perimeter of ABCD is 26 cm

The area of PQRS is 45 cm(squares)
Find the length of AB

Answer:

The set of values are described below:

[tex]v = 25\,cm[/tex], [tex]w = 25^{\circ}[/tex], [tex]x = 25^{\circ}[/tex], [tex]y = 65^{\circ}[/tex] and [tex]z = 10\,cm[/tex].

Step-by-step explanation:

Since [tex]\triangle JPO \cong \triangle SMR[/tex], then [tex]OJ \parallel RS[/tex] and [tex]OP \parallel RM[/tex]. By Alternate Internal Angles, we find that [tex]\angle R \cong \angle O[/tex]. In addition, the sum of internal angles in triangles equals 180°. Then, we have the following system of linear equations:

[tex]m\angle R + m\angle M + m\angle S = 180^{\circ}[/tex] (1)

[tex]m \angle O + m \angle P + m\angle J = 180^{\circ}[/tex] (2)

[tex]m\angle S = 65^{\circ}[/tex] (3)

[tex]m \angle M = m\angle P = 90^{\circ}[/tex] (4)

The solution of this system is [tex]m\angle R = 25^{\circ}[/tex], [tex]m \angle O = 25^{\circ}[/tex] and [tex]m \angle J = 65^{\circ}[/tex].

Lastly, the remaining sides are found by definition of congruence

Segment RS

Since [tex]\triangle JPO \cong \triangle SMR[/tex], then [tex]\overline {RS} \cong \overline {OJ}[/tex]. Hence, [tex]RS = 25\,cm[/tex]

Segment JP

Since [tex]\triangle JPO \cong \triangle SMR[/tex], then [tex]\overline{SM} \cong \overline {JP}[/tex]. Hence, [tex]JP = 10\,cm[/tex]

The set of values are described below:

[tex]v = 25\,cm[/tex], [tex]w = 25^{\circ}[/tex], [tex]x = 25^{\circ}[/tex], [tex]y = 65^{\circ}[/tex] and [tex]z = 10\,cm[/tex].

Answer:

Width of rectangular garden = 10 meter

Step-by-step explanation:

Given;

Area of rectangle garden = 150 m²

Length of rectangular garden = 5 meters more than its width

Find:

Width of rectangular garden

Computation:

Assume;

Width of rectangular garden = W

So,

Length of rectangular garden = 5 + W

Area of rectangle garden = length x width

(W)(W + 5) = 150

W² + 5W = 150

W² + 5W - 150 = 0

W² + 15W - 10W  - 150 = 0

W(W + 15) - 10(W + 15) = 0

(W + 15)(W - 10)

So,

W = -15, W = 10

Width of rectangular garden = 10 meter

Answer:

g < 8

rip 5 days ago

Answer:

7.02

Step-by-step explanation:

the answer is 7.02 because 0.78×9=7.02

Answer:

7.02

Step-by-step explanation:

cost of 1 bag = 0.78

cost of 9 bags = 9 × 0.78 = 7.02

Answer: 4,000,000,000 mm

Step-by-step explanation:

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

The distance between the two cities in millimetres of 4,000,000,000 mm

Distance is defined as the length between the two points just like in the question it is the length between the two cities.

We know that:-

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

Therefore the distance between the two cities in millimetres of 4,000,000,000 mm

To know more about distance follow

https://brainly.com/question/2854969

#SPJ2

Answer: 100

Hi!

ok so the Pythagorean theorem is

[tex]c=\sqrt{x} a^2+b^2=\sqrt{x} 8^2+6^2=10[/tex]

so the other side is 10.

the square 8 is 8*8

and square 6 is 6*6

so the other square is 10*10=100.

so the area of the blank square is 100.

Step-by-step explanation:

Can I have brainliest?

Thanks!

Have a nice day!

Answer:

t≥7

Step-by-step explanation:

11≤t+4

4 moves to the other side hence its sign changes

11-4≤t

7≤t

they change sides

t≥7

the sign was facing t so this does not change

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

11 ≤ t + 4  We are gonna simplify

Step 2

11 ≤ t + 4  simplify

t+4≥11

Step 3

t+4≥11  Subtract 4 from the sides

t≥7

So therefore, your answer will be t≥7

Hope this helps

Answer:

No, it is not a solution of the equation.

Step-by-step explanation:

x=-11, y=-284

14 · (-11)-129=-283

-283≠-284

Answer:

D = 80 degrees or (76+4) C And F are 70 i think

Step-by-step explanation:

Answer:

its B and E

Step-by-step explanation:

I already did the review

Answer:

4/10

Step-by-step explanation:

40 students drive

There are 100 students

40/100 = 4/10

Answer:

2/5

Step-by-step explanation:

Answer:

47 people

Explanation:

58 - 6 + 4 -16 + 7 = 47

Answer:

704

Step-by-step explanation:

We need to find the volume of pyramid and cube and plus.

volume of pyramid

l-Base length  

w-Base width  

h-Pyramid height

Vp==lwh /3=8·8·9 /3=192

Volume of pyramid and cube

a-Edge

Va=a³=8³=512

V=Va+Vp=512+192=704

Answer:

The average speed of the entire trip is 8.5 miles per hour.

Step-by-step explanation:

Speed = Total  Distance / Total Time

So we have to find the total distance and the total time taken .

1) From Gujranwala to Daska

speed= 25miles/hour           distance = 15miles

Time taken = distance / speed

                   = 15/25= 0.6 hours

2)  From Daska to Sialkot

speed= 40miles/hour           distance = 15miles

Time taken = distance / speed

                   = 40/15= 2.67 hours

3 ) From  Sialkot to Daska

speed= 30miles/hour           distance = 15miles

Time taken = distance / speed

                   = 30/15= 2 hours

The total distance traveled to three places is = 15+ 15+15= 45miles

The Total time taken is = 0.6+ 2.67+ 2= 5.267=5.3 hours

Speed = Total  Distance / Total Time

Speed= 45/ 5.3

          = 8.49=8.5 miles per hour

The average speed of the entire trip is 8.5 miles per hour.

Answer:

I say it is A.

Step-by-step explanation:

It is the one that makes the most sense.

Hope this helps.

Answer: C

Step-by-step explanation:

7.5, because |-7.5|= 7.5

If a negative number is in between these bars | | then it becomes a positive.

Answer:

C

Step-by-step explanation:

Given

x² - 2x + 2 = 0 ( subtract 2 from both sides )

x² - 2x = - 2

To solve use the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 1)x + 1 = - 2 + 1

(x - 1)² = - 1 ( take the square root of both sides )

x - 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 1 to both sides )

x = 1 ± i , then

x = 1 + i or x = 1 - i → C

Answer:

For f(x) = √(2·x + 2) - √(x + 18), at f(x) = -1 the possible x-values includes;

-0.757, -17.5

Step-by-step explanation:

Given that the function is f(x) = √(2·x + 2) - √(x + 18)

The value of 'x' when f(x) = -1, is given as follows;

-1 = √(2·x + 2) - √(x + 18)

-1² = (√(2·x + 2) - √(x + 18))² = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)

1 = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)

2·√(2·x + 2)×√(x + 18) = 3·x + 20 - 1 = 3·x + 19

2·x² + 38·x + 36 = (3·x + 19)/2

2·x² + 38·x + 36 - (3·x + 19)/2 = 0

4·x² + 73·x + 53 = 0

From which we get;

x = (-73 ± √(73² - 4 × 4 × 53))/(2 × 4)

x ≈ -0.757, and x ≈ -17.5

Answer:

One thousand

Step-by-step explanation:

Answer: one thousand

Step-by-step explanation:

A thousandth is one of a thousand equal parts of something. ... a dust particle weighing only a thousandth of a gram.

Answer:

B. 60

Step-by-step explanation:

There are a total of 200 students here, and 45% got Cs, to find how many got Cs, multiply 200 by 45%, or 0.45: 200*0.45 = 90, 90 people got Cs.

15%  got Ds, multiply 200 by 15%, or 0.15 to get 30, 30 got Ds

The amount who got Cs minus the amount who got Cs is 90 - 30 = 60, 60 more students got Cs than Ds

1. 3,6

2. 5,6

3. 4,5

(branliest will be appreciated and thanks)

Answer:

False

Step-by-step explanation:

A ratio is not necessarily a comparison between quantities with different units, quantities with the same units can be in a ratio in mathematics.

Answer:

110°

Step-by-step explanation:

Since angle B is 30° and the ratio of a to b is 2:1, multiply 30 by 2 to get the measure of angle a = 60°.

Since angles a is 60° And the ratio of a to c is 3:1, divide 60 by 3 to get the measure of angle c = 20°.

add them up:

60 + 30 + 20 = 110°

Answer:

Step-by-step explanation:

In mathematics, every integer is a rational number, hence a whole number 6 can be written as 6/1. 1/3 ÷ 6 = 1/18 in fraction form. 1/3 ÷ 6 = 0.0556 in decimal form.

Answer:

1/18 or 18 is your answer.

Step-by-step explanation:

Since 1/3 is already in fraction form, we will now turn 6 into fraction form.  Which is 1/6. Now we will put it into the equation 1/3 x 1/6 = 1/18.  The fraction 1/18 can also be 18.  Therefore, 18 or 1/18 is our answer.

Answer:

not sure but i think its b

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

================================================================

Explanation:

If we were to keep the red curve completely fixed, but we moved the xy axis four units to the left, then this would give the illusion the red curve is moving four units to the right to arrive at the blue curve's location.

Shifting the xy axis four units to the left is the same as subtracting 4 from each initial input x value. So we go from x to x-4.

The parent function f(x) = x^2 then becomes g(x) = (x-4)^2 which is choice C.

As one way to check, plug in x = 4 and you should find that g(4) = 0. This is the x intercept of the blue curve. Something like g(x) = (x+4)^2 does not work because plugging x = 4 into this leads to g(x) = 64, so that rules out choice A. You can eliminate choices B and D for similar reasoning as well.

Answer:

C.) G(x) = ( x-4 )^2

Step-by-step explanation:

Took the test