Solve the right triangle.
Round your answers to the nearest tenth.

Both Px + Qy = R and Tx + Uy = V have the same solution (2, 9), meaning the point (2, 9) lies on both lines such that x = 2 and y = 9 makes both equations true.

When you add these equations together, you get

(Px + Qy) + (Tx + Uy) = R + V

→   (P + T ) x + (Q + U ) y = R + V

so the first option is equivalent.

When you subtract the first equation from the second, you get

(Tx + Uy) - (Px + Qy) = V - R

→   (T - P) x + (U - Q) y = V - R

so the third option is also equivalent.

Answer:

66.4°

Step-by-step explanation:

From the question given above, the following data were obtained:

Adjacent = 6 cm

Hypothenus = 15 cm

Angle Y =?

Angle Y can be obtained by using the cosine ratio as illustrated below:

Cos Y = Adjacent / Hypothenus

Cos Y = 6/15

Cos Y = 0.4

Take the inverse of Cos

Y = Cos¯¹ 0.4

Y = 66.4°

Therefore, angle XYZ is 66.4°

Answer:

2m + 153.5

Step-by-step explanation:

Hey there

2m =  The word times means multiplication. So, multiply 2 and m.

153.5 = The phrase more than means addition. So, add 2m and 153.5.

hope it helped

Answer:

why would you lie about giving the points-

Step-by-step explanation:

Answer:

b right handed boys

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

what is 42-22?

it is 20. Next time, use a calculator or get your additon and normal calulations really good.

the third one, you have written not clearly

bwhwhsbsh hsbsvs bw wjw wjw whe

Answer:

it's times 4 every time

Step-by-step explanation:

4.5 times 4 is 18 etc

Answer:

[tex]r=\frac{5}{9}(y-32)[/tex]

Step-by-step explanation:

The Celsius scale was developed by Swedish astronomer Andres Celsius in 1742. It is used to measure temperature in degree Celsius in which 0 degrees represents the freezing point of water, and 100 degrees represents boiling point of water at the standard atmosphere.

The Fahrenheit scale was proposed in 1724 by the physicist Daniel Gabriel Fahrenheit. It is used to measure temperature in degree Fahrenheit in which 32°F represents the freezing point of water, and 212°F represents boiling point of water at the standard atmosphere.

Let r represent the temperature in degrees Celsius and y represent the temperature in degree Fahrenheit. The relationship between r and y is:

[tex]\frac{r-freezing\ point(^oC)}{boiling\ point\ (^oC)-freezing\ point(^oC)} =\frac{y-freezing\ point(^oF)}{boiling\ point\ (^oF)-freezing\ point(^oF)} \\\\Substituting:\\\\\frac{r-0}{100-0}=\frac{y-32}{212-32}\\\\\frac{r}{100} =\frac{y-32}{180}\\\\r= \frac{y-32}{180}*100\\\\r=\frac{5}{9}(y-32)[/tex]

Answer:

2300000%

Step-by-step explanation:

0.01 = 1%

1 = 100%

23000 X 100 = 2300000%

Hope It Helps

Answer:

1/2 > 1/4

Step-by-step explanation:

1/2 = 2/4

2/4 > 1/4

Answer:

1/2 > 1/4

Step-by-step explanation:

1/2= 2/4

2/4 > 1/4

Answer:

A

Step-by-step explanation:

The month of June has  40 sweets

Let the number of sweets in the month of June be  P

Given that April,  May and June collectively have 90 sweets

Given that May has three quarters of number of sweets as that of June

So we can write

[tex]\rm Number\; of \; sweets\; in \; May = \dfrac{3P}{4 } .......(1) \\[/tex]

Similarly it is given that April has two third of sweets as that of May month and hence we can write

[tex]\rm Number\; of\; sweets \; in \; April = \dfrac{2}{3} \times \dfrac{3P}{4} = P/2 ......(2)\\[/tex]

As the total number of sweets in  April,  May and June is  90

Let the number of sweets in  May be "M" and in April be "A"

We can write the following equation and solve it further

[tex]\rm M + A + P = 90\\From \;equations \; (1) \; and \; (2) \\[/tex]

[tex]\rm P + 3P/4 + P/2= 90\\\\2.25 \; P = 90\\P = 40[/tex]

So we can conclude that the month of June has  40 sweets

For more information please refer to the link given below

https://brainly.com/question/1301963

Answer:

16

Step-by-step explanation:

20% = 0.2

80 x 0.2 = 16

Please mark me Brainliest :)

Answer:

16 is 20 percent out of 80

Step-by-step explanation:

Answer:

A'=(5,1)

Step-by-step explanation:

Rotations

Given a point A(x,y) on the plane. A rotation of 270° counterclockwise will map point A to A'(y,-x), i.e. we switch x and y and invert x.

The preimage of point A is located at (-1,5). When rotated 270° counterclockwise it will map to (5,1).

The image attached below shows both points

Answer:

c) 6× (9+8) = (6 × 9) + (6× 8)

Step-by-step explanation:

Distributive property of multiplication

The distributive property of multiplication

a(b+c) = a b + a c

(a+b)c = ac + bc

6× (9+8)  = (6× 9) + (6×8)

Answer:

im not sure

Step-by-step explanation: