Quick Check!
The lengths of each side of rectangle T are 4 times the lengths of each side of rectangle R.

How many times larger is the area of rectangle T compared to the area of rectangle R?

A. 2
B. 4
C.8
D.16​

Given:

Consider the below figure attached with this equation.

Quadrilateral QRST is a parallelogram.

To find:

The value of x.

Solution:

We know that the sum of two consecutive interior angles of a parallelogram is 180 degrees because they are supplementary angles.

In parallelogram QRST,

[tex]m\angle Q+m\angle T=180^\circ[/tex]

[tex](3x+5)^\circ+(9x-17)^\circ=180^\circ[/tex]

[tex](12x-12)^\circ=180^\circ[/tex]

On comparing both sides, we get

[tex]12x-12=180[/tex]

[tex]12x=180+12[/tex]

[tex]12x=192[/tex]

Divide both sides by 12.

[tex]x=\dfrac{192}{12}[/tex]

[tex]x=16[/tex]

Therefore, the value of x is 16.

Answer:

312

Step-by-step explanation:

First we need to determine the width

A = l*w

6.2 * 10 ^3 = 1.55 * 10 ^2 * w

Divide each side by 1.55 * 10 ^2

6.2 ^ 10 ^3  /1.55 * 10 ^2 = 1.55 * 10 ^2 * w / 1.55 * 10 ^2

Changing from scientific notation to standard

6200/155 = w

40 = w

Then we need to determine the perimeter

P = 2(l+w)

P = 2( 155+40)

P =2( 195)

P = 390

Now multiply by the price

390 *.80

312

Answer:

It should be A.

Step-by-step explanation:

Answer:

volcano Loihi

Step-by-step explanation:

Distance between volcano top and sea level is the summit elevation :

Summit elevation of volcano kliauea = 1227 miles

Summit elevation of volcano Loihi = - 969 m

The summit closer to sea level is that whose absolute summit level elevation is smaller :

Absolute values :

volcano kliauea = 1227 m

volcano Loihi = |-969| = 969 m

969 < 1227

Hence, volcano Loihi is closer to sea level

b is correct Step-by-step explanation: i took the test

Answer:

There are 6 significant figures in the numbers 1.00421

Step-by-step explanation:

Since 1.00421 starts with 1, we count from 1 to all the numbers to the right.

Hope this help

Pls mark me brainliest.

Answer:

3 to the left

Step-by-step explanation:

if it is the brackets it affects X and it usually is the opposite so if shown plus then it means to the left/ means minus

Answer:

translation 3 units up

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If  c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Then

f(x) = x + 3

represents a translation of 3 units up

Answer:

3p +27

Step-by-step explanation:

6( p+6) - 3(p+3)

Distribute

6p +36 - 3p -9

Combine like terms

6p -3p +36-9

3p +27

the answer to the question is 3p+27

Answer: 12.19 ft

Step-by-step explanation:

Given

Length of ladder is [tex]23 ft[/tex]

Angle of elevation is [tex]58^{\circ}[/tex]

Suppose the bottom of the ladder is x ft away from the bottom of the wall

from the figure, we can write

[tex]\Rightarrow \cos 58^{\circ}=\dfrac{x}{23}\\\\\Rightarrow x=23\cos 58^{\circ}\\\Rightarrow x=12.19\ ft[/tex]

Thus, the distance is 12.19 ft

Respuesta:

31 minutos para llegar a la superficie del mar.

Explicación paso a paso:

Dado que :

Profundidad inicial = 48 m

8 metros = 1 minuto

Tiempo de parada por cada minuto de nado vertical = 5 minutos

Por lo tanto,

1 minuto = (48 - 8) = 40 metros

Tiempo de parada = 5 minutos

1 minuto = (40 - 8) = 32 metros

Tiempo de parada = 5 minutos

1 minuto = (32 - 8) = 24 m

Tiempo de parada = 5 minutos

1 minuto = (24 - 8) = 16 m

Tiempo de parada = 5 minutos

1 minuto = (16 - 8) = 8 m

Tiempo de parada = 5 minutos

1 minuto = 8 - 8 = 0 (superficie del mar)

(1 * 6) minuto + (5 * 5) minuto

6 + 25 = 31 minutos

31 minutos para llegar a la superficie.

Answer: 130 miles

Step-by-step explanation:

Given

Mai goes running Monday, Wedenesday and friday

For Monday it is 3.5 miles

For Wednesday it is 5.5 miles

For Friday it is 7.25 miles

Total distance traveled in a week

[tex]\Rightarrow 3.5+5.5+7.25\\\Rightarrow 16.25\ \text{miles}[/tex]

For 8 week it is

[tex]\Rightarrow 16.25\times 8\\\Rightarrow 130\ \text{miles}[/tex]

Answer:

The answer is below

Step-by-step explanation:

The equation for a linear function is given as:

y = mx + b

where m is the slope of the function (that is the rate of change), b is the initial value of y when x is 0.

a) Since A represent the total amount saved and x represents the number of months. The relationship between A and x is given by:

A = -100x + 1850

The price reduces by $100 each month, while the initial price is currently $1,850.

B) Since C represent the cost of computer and x represents the number of months. The relationship between C and x is given by:

C = 125x + 275

The price increases by $125 each month, while the initial price is currently $275.

C) To determine the amount time needed before he can buy the computer, we  use:

A = C

-100x + 1850 = 125x + 275

125x + 100x = 1850 - 275

225x = 1575

x = 7

Therefore it would take 7 months before he can buy a computer

[tex]x=2+½*\sqrt{10} [/tex]

or

[tex]x=2-½*\sqrt{10} [/tex]

Answer:

Solution given:

y=2x²-5x+6.....[1]

y=3x+3.........….[2]

solving equation 1&2

2x²-5x+6=3x+3

2x²-5x-3x+6-3=0

2x²-8x+3=0

comparing above equation with ax²+bx+c=0 we get

a=2

b=-8

c=3

by using quadratic equation

[tex]x=\frac{+8±\sqrt{(-8)²-4*2*3}}{2*2}[/tex]

[tex]x=\frac{+8±2\sqrt{10}}{4}[/tex]

taking positive

[tex]x=\frac{+8+2\sqrt{10}}{4}[/tex]

[tex]x=2+½*\sqrt{10} [/tex]

taking negative

[tex]x=2-½*\sqrt{10} [/tex]

Equate

Solve for x

Answer:

A line in geometry is a straight line that goes on infinitely in two directions. To draw a line, you would draw a straight line and add two small arrows on both ends to indicate that they stretch infinitely. To label a line, you would either label two points on the line, or you can assign a letter to the line. (Example: ↔AB or line A)

A line segment is similar to a line, but it doesn't go infinitely in either direction. To draw a line segment, you would draw two points and connect them. To label a line segment, you would label the two endpoints. (Example: ¯AB)

A ray is a line with one side that extends infinitely. To draw a ray, you would draw a point, draw a line from the point going in any direction, and add an arrow on the other end to indicate that it extends forever. To label a ray, you would label the endpoint and some other point on the ray. (Example: →AB)

An angle is the shape formed by two rays that have a common endpoint. To draw an angle, you would draw an endpoint and make two separate rays coming off of it. Then you would draw a short arc in the space between the rays to indicate that it is an angle. There are three ways to label an angle:

1. Label the vertex (∠A)

2. Label a point on one ray, the endpoint, then a point on the other ray (∠BAC)

3. Label the angle with a number or letter (∠1, ∠A)

Answer:

1/16

Step by Step Explanation:

If you multiply -1/2 · -1/2 · -1/2 · -1/2 you get 1/16.

We know that : The Sum of the angles in a triangle should be equal to 180°

Given : The Triangle is a Right angled Triangle

It means : One of the Angle in the triangle is 90°

It means : The sum of the other two angles should be equal to 90°

Given : One acute angle is 8x + 5 and the other one is 4x + 9

⇒   8x + 5 + 4x + 9 = 90°

⇒   12x + 14 = 90°

⇒   12x = 76°

⇒   x = 6.333°

The larger angle among the acute angles is 8x + 5

⇒   8(6.333) + 5

⇒   50.67 + 5

⇒   55.67

[tex]\huge\bold{Given :}[/tex]

Angle 1 = ( 8x + 5 ) ...(i)

Angle 2 = ( 4x + 9 ) ...(ii)

Angle 3 = 90° ( ∵ it is a right-angled triangle )

[tex]\huge\bold{To\:find :}[/tex]

The value of the larger angle of the two acute angles.

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

[tex]{\boxed{\mathcal{\red{ A. \:55.67° .\:}}}}[/tex]. ✅

[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°

➪ 8x + 5 + 4x + 9 + 90° = 180°

➪ 12x + 104° = 180°

➪ 12x = 180° - 104°

➪ 12x = 76°

➪ x = [tex] \frac{76° }{12} [/tex]

➪ x = 6.333°

The value of x is 6.333°.

Now,

Substituting the value of x in eq. (i) & (ii), we have

Angle 1 = 8x + 5

= 8 x 6.333 + 5

= 50.666 + 5

= 55.67°

Angle 2 = 4x + 9

= 4 x 6.333 + 9

= 25.332 + 9

= 34.332°

Clearly, angle 1 is greater than angle 2.

Therefore, the value of the larger angle of the two acute angles is 55.67°.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Answer:

B.) 33°

Step-by-step explanation:

The size of x in degrees is 33°.

If you bisect P from center O, you can create a right triangle and use the triangle sum rule to find ½ the measure of x°.

Answer:

GOD BLESS YOU

Step-by-step explanation:

Answer:

45%

Step-by-step explanation:

$80->100%

$36->x

x=36×100/80

x=45%

Answer:

-1

Step-by-step explanation:

when inputting our values into the formula for slope, we get (-2 - -1)/(7 - 6). Subtracting gives us -1/1 and our final answer is -1.

p.s tysm

Answer:

∠ ABC = 48°

Step-by-step explanation:

Since AC = AB , the triangle is isosceles with the 2 base angles being congruent , that is

∠ ABC = ∠ ACB = 4x

The sum ot the 3 angles in a triangle = 180°

sum the angles and equate to 180

4x + 4x + 7x = 180

15x = 180 ( divide both sides by 15 )

x = 12

Then

∠ ABC = 4x = 4 × 12 = 48°

nooooooooooooooooooooooooo

Welp… Umh okay :D

It needed more characters…

Answer:

x=23/50

Step-by-step explanation:

Answer:

0.46

Step-by-step explanation:

Divide 5400 by 54 to get rid of it from the right side.

You will get 100=100x+54

Then subtract 54 from 100.

46=100x

Lastly, divide your number by 100 to get x.

Answer:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units

Step-by-step explanation:

Answer:

-15 = -5x

Step By Step:

Took the quiz

Answer:

the sum of -4.82 and 4.35 = -0.47

so a is correct

the product of -4.82 and 4.35 = -20.967

so b is incorrect

the quotient of -4.82 and -4.35 is 1.10804597701

the quotient of 4.82 and 4.35 is 1.10804597701

so c is correct

if we subtract 4.35 from -4.82 we get -9.17

so d is incorrect

Hope This Helps!!!

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

Explanation:

All three angles must add to 180. This is true for any triangle.

x+x+110 = 180

2x+110 = 180

2x = 180-110 ... subtract 110 from both sides

2x = 70

x = 70/2 .... divide both sides by 2

x = 35

As a check: 35+35+110 = 180 which helps confirm the answer.

Answer:

Step-by-step explanation:

x + x + 110 = 180 degree (sum of interior angles of a triangle)

2x + 110 = 180

2x = 180 - 110

x = 70/2

x = 35 degree

Answer:

x = 0 , π

Step-by-step explanation:

[tex]-4 \sin x = 1 - cos^2 x[/tex]

[tex]=> -4\sin x = \sin^2x[/tex]

[tex]=> -4\sin x + 4\sin x = sin^2x + 4\sin x[/tex]

[tex]=> \sin^2x + 4\sin x = 0[/tex]

[tex]=> \sin x(\sin x + 4)=0[/tex]

Here , we can get two more equations to find x.

1) [tex]\sin x(\sin x + 4)=0[/tex]

[tex]=> \frac{\sin x(\sin x + 4)}{\sin x} = \frac{0}{\sin x}[/tex]

[tex]=> \sin x + 4 = 0[/tex]

[tex]=> \sin x + 4 - 4 = 0 - 4[/tex]

[tex]=> \sin x = -4[/tex]

[tex]=> x = No \; Solution[/tex]

2) [tex]\sin x(\sin x + 4)=0[/tex]

[tex]=> \frac{\sin x(\sin x + 4)}{\sin x + 4} = \frac{0}{\sin x + 4}[/tex]

[tex]=> \sin x = 0[/tex]

[tex]=> x = 0 \; , \pi[/tex] over interval [0 , 2π).