In triangle PQR, the measure of angle P=53degrees, PQ=7.4, and PR=9.6. what is the measure of angle R to the nearest degree?

Solve for x <br> -2^2(-5x+10)=100

masha68 [24]

Answer:

$x=7$

Step-by-step explanation:

Hi there!

$-2^2(-5x+10)=100$

Solve -2^2:

$-4(-5x+10)=100$

Divide both sides by -4:

$\displaystyle \frac{ -4(-5x+10)}{-4}=\frac{100}{-4} \\\\-5x+10=-25$

Subtract 10 from both sides:

$-5x+10-10=-25-10\\-5x=-35$

Divide both sides by -5:

$\displaystyle \frac{-5x}{-5} = \frac{-35}{-5} \\\\x=7$

Therefore, x = 7.

I hope this helps!

3 0

3 years ago

The following exchange rate is given: £1 = 1.12 euros. Convert £9 into euros.

raketka [301]

Answer:

10.08 Euro's

Step-by-step explanation:

Given that we know,

£1 = 1.12 Euro's.

To Simply convert it to Euro's you would multiply, 1.12 x 9 in order to find out what £9 is worth in Euro's.

Thus giving you,

10.08 Euro's

5 0

3 years ago

Nonlinear Systems of Equations

zheka24 [161]

The square root and cube root identities are proved.

According to the statement

we have to find that the use of the square root identity (x − y)2 = x2 − 2xy + y2

And use of cube root identity a3 + b3 = (a + b)(a2 − ab + b2).

So, For this purpose, we know that the

A. Let us assume the two conditions.

So,

2x + 3y = 6 -(1)

4x + 7y = 8 -(2)

Here we use elimination method

So, Multiply 4 with (1) and 2 with (2)

8x + 12y = 24

8x + 14y = 16

Now eliminate x from these equations

-2y = 8

here y is -4.

and the x become

2x + 3y = 6

2x -12 = 6

2x = 18

x = 9.

B. For the use of identity $(x- y)^{2} = x^{2} - 2xy + y^{2}$

Let us assume a number 26 and 28 then fill it in the condition then

$(28- 26)^{2} = 28^{2} - 2(28)(26) + 26^{2}$

Then

$(28- 26)^{2} = 784 - 1456 + 676$

$(28- 26)^{2} = 4$

And we have to prove the cube root identity then

The identity is

$a^{3} + b^{3} = (a + b)(a^{2} - ab + b^{2})$

Then let us assume the number 8 and 9 then

$a^{3} + b^{3} = (a + b)(a^{2} - ab + b^{2})$

$8^{3} + 9^{3} = (8 + 9)(8^{2} - 8*9 + 9^{2})$

$8^{3} + 9^{3} = (17)(64 - 72 + 81)$

$8^{3} + 9^{3} = (17)(73)$

$8^{3} + 9^{3} = (1241)$

Hence by this way we prove the square and cube root identities.

So, The square root and cube root identities are proved.

Learn more about square root and cube root here

brainly.com/question/661780

#SPJ1

3 0

1 year ago

Let A= (2,3) and B= (6,7) and M be the midpoint of AB. Find the coordinates of midpoints of AM and AB.

kifflom [539]

Answer:

Well first do you have a graph or what

Step-by-step explanation:

6 0

3 years ago

Victor is going to send some flowers to his wife. Dayton Florist charges $3 per rose, plus $12 for the vase. Tammy's Flowers, in

s344n2d4d5 [400]

Answer: the costs would be the same if he orders 29 rose flowers.

Step-by-step explanation:

Let x represent the number of roses that Victor would order such that the cost will be the same with either flower shop.

Dayton Florist charges $3 per rose, plus $12 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is

3x + 12

Tammy's Flowers, in contrast, charges $2 per rose and $41 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is 2x + 41

For the costs to be the same, the number of rose flowers that he orders would be

3x + 12 = 2x + 41

3x - 2x = 41 - 12

x = 29

4 0

3 years ago