In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠Q ≅ ___

Answer:

24.6

Step-by-step explanation:

take 72 degree as reference angle

using tan rule

tan 72 = opposite / adjacent

3.07 = x/8

3.07 * 8 = x

24.56 = x

24.6 = x

Answer:

7.5 metres

Step-by-step explanation:

According to the Question,

Thus, the distance from the first hurdle to eighth hurdles is 80-(12+15.5) = 52.5m

Now, we have 8 Hurdle but the distance between each hurdle is equally divided in 7 parts . (Please find the diagram in Attachment)

So, 52.5 /7 ⇔ 7.5m far the hurdles are from one another.

Answer:

6x-3-4+x=4x+20

7x-7=4x+20

7x-4x=20+7

3x=27

X=27/3

X=9

Answer:

(6×-3)-(-4+×)=4×+20

6×-3--4+×=4×+20

6×+1+×=4×+20

6×-4×=20-1

2×=19

devide by two both sides

×=9.5

Two consecutive odd integers with a sum of 36 are 17 and 19.

Hope it helps you I'm from ph❤️

Answer:

Two consecutive odd integers with a sum of 36 are 17 and 19.

Step-by-step explanation:

hope i helped

Answer:

1/4

1/2

3/4

1

Step-by-step explanation:

1/2 = 0.5

1/4 = 0.25

3/4 = 0.75

1 = 1

Answer:

-3/4 meters could represent where the emerald is located in.

Step-by-step explanation:

Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. -0.75 or -3/4 could represent the depth at which the emerald is located.

Ignoring 12/6 date. . .Anyways, to find the answer first you have to look at all answers and figure out which negative numbers are between -1/2 and -1 2/3.

Long story short your answer is -3/4 meters :D

Answer:

1/5

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability that he pulls out a red marble = number of red marbles / total number of marbles

= 4/20 = 1/5

Answer:

B

Step-by-step explanation:

pls give me brainliest

Answer:

A cylinder is a three-dimensional figure like a prism, but with bases that are circles. A sphere is a three-dimensional figure in which all cross-sections in every direction are circles.

Option is B

Step-by-step explanation:

Answer:

23. c

24.b

25. box 2

26. 48, 26

Step-by-step explanation:

Answer:

my answer is x(x+3) + 2(x - 3)

Answer:

thanks for the information

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Answer:

2 1/2

Step-by-step explanation:

5/8 ÷ 1/4

Copy dot flip

5/8 * 4/1

Rewriting

5/1 * 4/8

5/1 * 1/2

5/2

Writing as a mixed number

2 1/2

Answer:

x=-5/4

Step-by-step explanation:

Let the number be  x and y

     x.y=2/5    (The product of two rational numbers is 2/5)

if  one of the number is  -8/25

x.(-8/25)=2/5

(Here Substituted the value of one of the number yoy may substitute the value -8/25 in place of x

x=(2/5) *(-25/8)    

x=-5/4  

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

Product of two rational numbers = [tex]\frac{2}{5} [/tex]

One of the number = [tex]\frac{-8}{25} [/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The other number.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

The other number is [tex]\frac{ - 5}{4} [/tex].

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

Let the other number be [tex]x[/tex].

As per the question, we have

[tex]Product \: \: of \: \: the \: \: two \: \: rational \: \: numbers = \frac{2}{5} \\[/tex]

[tex]➺ \: \frac{ - 8}{25} \times x = \frac{2}{5}\\ [/tex]

[tex]➺ \: x = \frac{2}{5} \times \frac{-25}{ 8}\\ [/tex]

[tex]➺ \: x = \frac{-50}{ 40} \\[/tex]

[tex]➺ \: x = \frac{ - 5}{4}\\ [/tex]

[tex]\sf\purple{Therefore,\:the\:other\:number\:is\: \frac{ - 5}{4} .}[/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

[tex]➺ \: \frac{ - 8}{25} \times \frac{ - 5}{4} = \frac{2}{5} \\[/tex]

[tex]➺ \: \frac{40}{100} = \frac{2}{5}\\ [/tex]

[tex]➺ \: \frac{2}{5} = \frac{2}{5}\\ [/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]

Answer:

[tex] F(4) = \frac {1}{256} [/tex]

Step-by-step explanation:

Given the following mathematical function;

[tex] F(x) = \frac {1}{4^{x}} [/tex]

When x = 1

[tex] F(1) = \frac {1}{4^{1}} [/tex]

[tex] F(1) = \frac {1}{4} [/tex]

When x = 2

[tex] F(2) = \frac {1}{4^{2}} [/tex]

[tex] F(2) = \frac {1}{4*4} [/tex]

[tex] F(2) = \frac {1}{16} [/tex]

When x = 3

[tex] F(3) = \frac {1}{4^{3}} [/tex]

[tex] F(3) = \frac {1}{4*4*4} [/tex]

[tex] F(3) = \frac {1}{4*4*4} [/tex]

When x = 4

[tex] F(4) = \frac {1}{4^{4}} [/tex]

[tex] F(4) = \frac {1}{4*4*4*4} [/tex]

[tex] F(4) = \frac {1}{256} [/tex]

When x = 5

[tex] F(5) = \frac {1}{4^{5}} [/tex]

[tex] F(5) = \frac {1}{4*4*4*4*4} [/tex]

[tex] F(5) = \frac {1}{1024} [/tex]

Answer:

This is the answer48 cm²

Answer:

A = 44 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

We require to find the missing segment of b₁

Using the tangent ratio in the right triangle

tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{adjacent}[/tex] = 1 , so

adjacent = 4

Then

b₁ = 4 + 8 + 2 = 14 , b₂ = 8 and h = 4 , then

A = [tex]\frac{1}{2}[/tex] × 4 × (14 + 8) = 2 × 22 = 44 cm²

9514 1404 393

Answer:

  y = -1/2x +4

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis, at y=4.

The slope is found by following the line to the right until it meets another grid line crossing point. That is 2 units to the right and down 1 unit.

The slope is ...

  m = "rise"/"run" = -1/2

Then the slope-intercept equation is ...

  y = mx + b . . . . . slope m, y-intercept b

  y = -1/2x +4

Answer:

43

Step-by-step explanation:

To find the mean, add up all the numbers

(42+ 43+ 44+ 44+ 49+ 40+ 39)=

301

Then divide by the number of terms

301/7

43

Answer:

mean = 43

Step-by-step explanation:

Mean is given by

mean = sum of all numbers / total no. of terms

substitute the values

mean = 42 + 43 + 44 + 44 + 49 + 40 + 39 /

Divide ,

mean = 301 / 7

mean = 43

Answer:

20 - p

Step-by-step explanation:

If p represents the cost of the peanuts, it has to be subtracted from 20 to find how much change Lorenzo will receive.

So, set up the expression:

20 - p

The expression to represent how much change he will get is 20 - p

Answer:

1,3 3,1

Step-by-step explanation:

Answer:

200π cm²

Step-by-step explanation:

Applying,

TSA = πrl+πr²

TSA = π(r²+rl)............. Equation 1

Where TSA = Total surface area, r = radius of the base, l = slight height of the cone

To get l we apply pythagoras theorem

From the diagram,

l² = 15²+8²

l² = 225+64

l² = 289

l = √289

l = 17 cm

Given: r = 8 cm

Substitute these values into equation 1

TSA = π(8²+17×8)

TSA = π(64+136)

TSA = π(200)

TSA = 200π cm²

Answer:

35.44

Step-by-step explanation:

(1 +.42)*468 = 664.56

if you add 35.44 you would have 700

Answer:

Mathew will earn $360.72 from his food

Step-by-step explanation:

We know that:

1 bushel of wheat = $5.40

And Matthew produced 66.8 bushels of heat this year

To find how much Matthew will earn from his field, multiply:

5.40 x 66.8 = 360.72

Therefore he will earn $360.72 from his field.

Hope thjs helps!

Answer:

[tex]A(w) = 40w - w^2[/tex]

Step-by-step explanation:

Given

[tex]P = 80[/tex] --- perimeter

Required

Define the area in terms of width

The perimeter of the pool is:

[tex]P =2(l + w)[/tex]

Where:

[tex]l\to length[/tex]

[tex]w\to width[/tex]

So:

[tex]80 =2(l + w)[/tex]

Divide by 2

[tex]40 =l + w[/tex]

Make l the subject

[tex]l = 40-w[/tex]

The area is then calculated as;

[tex]A(w) = l * w[/tex]

Substitute: [tex]l = 40-w[/tex]

[tex]A(w) = (40 - w) * w[/tex]

[tex]A(w) = 40w - w^2[/tex]