can any one help me please In rectangle QRST, diagonals QS and RT are drawn and intersect at point P. Which of the following statements must be true?
ΔQPR must be a right triangle.
ΔQPR must be congruent to ΔQPT.
ΔQPR must be congruent to ΔQRS.
ΔQPR must be congruent to ΔSPT.

Answer: Hence, Mean height of the girls is: 1.48

Step-by-step explanation: It is given that:

in a class of 32 students .

the mean height of 14 boys is 1.56 and the mean height of all 32 students is 1.515.

Since there are 14 boys in a class.

So, number of girls is equal to (32-14)=18.

The mean height of 14 boys is 1.56.

Hence the sum of height of 14 boys is= 1.56×14=21.84

Similarly mean height of 32 students is 1.515.

Hence, sum of height of 32 students=1.515×32=48.48.

Let x denote the mean height of 18 girls.

Hence, sum of height of 18 girls is: 18 x.

Now,

18x+21.84=48.48

( since sum of height of girls and boys is equal to the sum of height of all the students)

so, 18x=48.48-21.84

18 x=26.64

Hence, x=1.48

Hence, Mean height of the girls is: 1.48

Answer: 9 (2x + 1)

Step-by-step explanation: i hope i helped

Answer:

Drew is incorrect

Step-by-step explanation:

Drew is incorrect

Let the number be x such that if the product of the number and four is 1.08 then

x * 4 = 1.08

Divide both sides by 4

x = 1.08/4

= 0.27

Drew is incorrect because the result (1.08) has 2 decimal places and not once as deduced by him hence the number of digits before the decimal point for the numbers being multiplied must be 2.

Answer:

10

Step-by-step explanation:

We will first take a right triangle and we will apply the pythagorean theorem to it. First, the base of the right triangle will be 12/2 which is 6; then, we will just use the theorem.

a^2+b^2 = c^2 (pythagorean theorem)

8^2+6^2 = c^2

100 = c^2

c = 10 because the square root of 100 is 10

Answer:

5 m

8 m

Step-by-step explanation:

Area of square = s² ; s = side length

Let the area of each room equal to x and y

x + y = 89cm²

If x = smaller room

y = x + 3 in dimension

Hence,

x² + (x + 3)² = 89

(x +3)(x +3) = x² + 3x + 3x + 9

x² + x² + 3x + 3x + 9 = 89

2x² + 6x + 9 = 89

2x² + 6x - 80 = 0

x² + 3x - 40 = 0

x² + 8x - 5x - 40 = 0

x(x + 8) - 5(x + 8) = 0

x + 8 = 0 ;

x - 5 = 0

x = - 8 or x = 5

Dimension can't be negative :

So, x = 5

Samller square = x = 5

Larger square = x + 3 = 5 + 3 = 8

Answer:

Step-by-step explanation:

you got this i believe in you!

Answer:

the answer is like 35 percent

Answer:

im pretty sure its 34% jgbfjdjdbdhdjc

Answer:

Step-by-step explanation:

the sales tax will be 150*(7/100)=10.50

choice B

Answer:

4

Step-by-step explanation:

divide 18 by 72

Answer:

$36 for the jacket

Answer:

26

Step-by-step explanation:

Answer:

Nickel = 13

Dimes = 8

Quarters = 16

Step-by-step explanation:

Let N denote Nickel,

Let D denote dime

Let Q denote quarter

Now, from online conversions;

1 nickel = 5 cents

Also, 1 dime = 10 cents

Also, 1 quarter = 25 cents

Isabelle has $5.45 which is also 545 cents.

Thus, we have;

5N + 10D + 25Q = 545 - - - (eq 1)

We are told that;

she has five more nickels than dimes, and twice as many quarters than dimes.

Thus;

N = D + 5

Also, Q = 2D

Plugging them for N and Q in eq 1 givens;

5(D +5) + 10D + 25(2D) = 545

5D + 25 + 10D + 50D = 545

25 + 65D = 545

65D = 545 - 25

65D = 520

D = 520/65

D = 8

Thus; N = D + 5 = 8 + 5 = 13

Q = 2D = 2 × 8 = 16

Answer:

SRM, MRS

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

you have a total of 18 data values which means you have to find the average of the 9th and 10th values; these values would be in the 3000 - 5999 because this interval contains data values 5 through 10

Answer:

18.85 inches

Step-by-step explanation:

Eq: 2πr

D/2=R

6/2=3 inches

2π3

=18.85 inches

OR

πd

6π

=18.85 inches

Answer:

2

Step-by-step explanation:

because the 8 feet used on a ladder on level at the ground from the side of a house.

Answer:

b. x > -6

Step-by-step explanation:

> [greater than], and < [less than] inequalities are not filled in because the value is not included, but is only greater or less than.

≥ [greater than or equal to], and ≤ [less than or equal to] inequalities are filled in because the value is included, and it is greater than or less than.

Given that there is an empty circle with an arrow moving in the positive direction from -6, the inequality must be a greater than, and since the value is -6, x > -6.

Answer:

its is6700rr centimeters

Step-by-step explanation:

Answer:

Slope = 5

Point = (4, 2)

Step-by-step explanation:

Slope: 5

Step-by-step explanation:

This is called point slope form. y-y1=m(x-x1)

If m is slope then your slope is 5

Answer:

B

Step-by-step explanation:

Notice that the y intercept is 125 and that each time week it goes down by 25 meaning the slope is equal to -25

this means our equation is

-25x+125=y which is the same as b

Answer:

50 :D

Step-by-step explanation:

Answer:

<C = 52*

Step-by-step explanation:

180- 2(65) = 52

Answer:

> 8

Kindly find number line in attacked picture

Step-by-step explanation:

Price of cupcake per dozen = $15

Projected amount of sales > $120

In other to make such amount in sale, we need to obtain the number of dozens of cupcake :

Project amount of sales / price per dozen

> $120 / $15

> 8 dozens

Answer:

The answer is below

Step-by-step explanation:

A rectangle has an area of x² + 7x + 12. Use factoring to find possible dimensions of the rectangle. Explain why you can use factoring to find the answer.

Solution:

A rectangle is a quadrilateral (ha four sides and four angles) in which opposite sides are parallel and equal to each other. All the four angles in a rectangle are 90° each.

The area of a rectangle is given by:

Area = length * width

Hence the area is the product of two sides.

Given that:

Area = x² + 7x + 12

Factoring to find both the length and width of the rectangle:

Area = x² + 7x + 12

Area = x² + 4x + 3x + 12

Area = x(x + 4) + 3(x + 4)

Area = (x + 4)(x + 3)

After factoring we can see that the area is the product of (x + 4) and (x + 3). Hence x + 4 is the length and x + 3 is the width.

Answer:

x=109

Step-by-step explanation:

The angles inside of a triangle all add up to 180 degrees. So:

23+48+x=180

Simplify Like-Terms:

71+x=180

Subtract 71 from both sides:

x=109

Answer:

5.27 lb

Step-by-step explanation:

Given that,

Mya has 3 times as much floor as Eric. Mya has 15.81 lb of floor. The relation is given by :

Let Eric has F floor.

3F = 15.81 ...(1)

We need to find how much flour Eric has.

Dividing both sides by 15.81.

F = 15.81/3

F = 5.27 lb

Hence, Eric has 5.27 lb of flour.