Help
me
please with questions 4, 5 and 6, THANKS

Step-by-step explanation:

m∠RSU + m∠UST = 90° (as complementary angles)

(7x + 3)° + (11x − 21)° =90°

18x -18° = 90°

18x = 108°

x = 6

so, m∠RSU = (7x + 3)° = 7(6)+3 = 45°

and m∠UST = (11x − 21)° = 11(6) -21 = 45°

The required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.

The angle can be defined as the one line inclined over another line. Also the angles are measured in radian or degrees.

The sum of the complementary angles is 90.
So,
∠RSU + ∠UST = 90
7x +3 + 11x - 21 = 90
18x - 18 = 90
18 (x - 1) = 90
x - 1 = 90 / 18
x - 1 = 5
x = 4

Required measures of the angles,|

1) m∠RSU = (7x + 3)°
m∠RSU = (7 * 4+ 3)°|

m∠RSU = 31°

2)  m∠UST = (11x − 21)°.
    m∠UST = (11 * 4 − 21)°
    m∠UST = (44 − 21)°
     m∠UST =  23°

Thus, the required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.

Learn more about Angles here:
https://brainly.com/question/13954458

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Answer:

1.) x = 150

2.) x = 8.5

Step-by-step explanation:

1.)

[tex]\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150[/tex]

2.)

[tex]4x-36=-2\\\\4x=34\\\\x=8.5[/tex]

Answer:

1. x = 150

2. x = 8.5

Step-by-step explanation:

1. x/5 + 10 = 40

Get x by itself and then solve for x.

First, subtract 10 from both sides

x/5 + 10 - 10 = 40 - 10

x/5 = 30

Then, multiply by 5 to get x by itself.

x/5 = 30

x/5 * 5 = 30 * 5

x = 150

2. 4x - 36 = -2

Get x by itself and then solve for x.

First, add 36 to both sides

4x - 36 + 36 = -2 + 36

4x = 34

Then, Divide each side by 4

4x/4 = 34/4

x = 8.5

Answer:

21.6cm^2

Step-by-step explanation:

area = length * breadth

= 7.2 * 3 = 21.6

Answer:

2(s + 5) = 2s + 10, not 2s - 10

2s - 10 = 2s + 10

[tex]0 \neq 20[/tex]

I hope it helps you

Answer:

[tex]y = 0 \: .x = \frac{2}{3} y[/tex]

Step-by-step explanation:

[tex] \frac{2 {x}^{2} - 5 }{3xy - 2 {y}^{2} } [/tex]

[tex]3xy - 2 {y}^{2} = 0[/tex]

[tex]y \times (3x - 2y) = 0[/tex]

[tex]y = 0 = 3x - 2y = 0[/tex]

[tex]y = 0 = 3x = 2y[/tex]

[tex]y = 0[/tex]

[tex]x = \frac{2}{3} y[/tex]

[tex]y = 0. \: x = \frac{2}{3} y[/tex]

Answer: false

Step-by-step explanation:

Since it is a circle, when you draw the line it will meet at two points which fails the vertical line test. In order to pass the vertical line test it must only meet at one point.

Answer:

It is C

Step-by-step explanation:

PM = QM

[tex]6x - 8 = 2x + 4 \\ 6x - 2x = 4 + 8 \\ 4x = 12 \\ x = 3[/tex]

Answer:

C.) x = 3

Step-by-step explanation:

The diagonals of a rectangle are equal, and QM and PM are both half of the two diagonals. You can now say that 2 * (6x - 8) = 2 * (2x + 4), meaning that 12x - 16 = 4x + 8, where you can add 16 on both sides, then subtract by 4x on both sides to get that 8x = 24. Now divide by 8 on both sides to get that x = 3.

Answer:

3.2 × 10⁻²

Step-by-step explanation:

→ First multiply the whole numbers

8 × 4 = 32

→ Now add the powers

32 × 10⁻³

→ Convert into standard form

3.2 × 10⁻²

Answer:

21/20

Step-by-step explanation:

One way to look at it:

Convert 1.05 to a percentage so it's easier to see it as fraction out of 100

fraction x 100 = %

1.05 x 100 = 105%

105% means 105/100, and reducing the fraction gives 21/20.

21/20 = 1.05

Step-by-step explanation:

steps are in picture above.

Note:if you have any question please let me know.

Answer:

-5.35

Step-by-step explanation:

-20.85

+15.50

this helps with the problem

Answer:

-14/1 or 14/-1

Step-by-step explanation:

The fraction for 14 is 14/1

to make it negative, just add a negative sign for numerator or denominator.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

E) 3/3

Step-by-step explanation:

12/15 ÷ X = 4/5

We need to divide the top and bottom by 3/3

12 ÷3 =4

15÷3 = 5

Answer:

0.72 repeat

Step-by-step explanation:

              __

8 ÷ 11 =0.72

Answer:

[tex]81^{1/4}[/tex]

Step-by-step explanation:

[tex]\sqrt[4]{81} = 81^{1/4}[/tex]

a square root can be equivalently written as a fractional exponent. All the other options can be ruled out as they are simply incorrect.

Answer:

A. Divide both sides of the equation by 3, and then subtract 6 from both sides of the equation. The solution is x = 1.

Step-by-step explanation:

3(x + 6) = 21

Divide both sides by 3

(x + 6) = 7

Subtract 6 from each side

x = 7-6

x=1

Answer:

x=1

Step-by-step explanation:

multiply 3 with (x+6) resulting into 3x+18=21

cross-multiply and divide through by 3.

There u go

Answer:

77 : 55

Step-by-step explanation:

77 : 55

divide the ratio by 11.

7 : 5

Answer:

Step-by-step explanation:

[tex]\dfrac{C}{-9}=2\\\\\\[/tex]

Multiply both sides by (-9)

[tex]\dfrac{C}{-9}*(-9)=2*(-9)\\\\\\C=(-18)[/tex]

Answer:

C=-18.

Step-by-step explanation:

Setting up the problem,

C/-9=2

Multiplying both sides by -9, to get rid of the fraction,

C/-9x(-9)=2x(-9)

So, therefore, the final answer is C=-18.

I hope this has helped you. Enjoy your day, and take care.

Answer: An equation with an integer coefficient will NOT always have an integer solution.

Explanation: 3x=25⟹x=253 , therefore it is false.

Answer:

ans is 5.

hope it will help you.

Answer:

i flipped the images upside down.

Step-by-step explanation:

R= 8,5

Q=8,7

R=5,9

Answer:

Step-by-step explanation:

Given,

Area of a triangle = 40

Therefore,

Side of the square

[tex] = \sqrt{40} [/tex]

= 6.3245553203

= 6.3 (estimated) (Ans)

Answer:

I DONT KNOW SORRY BRO

Step-by-step explanation:

Answer:

50 i think not sure what kind a question this is

483.62 - 218.25 = 265.37

265.37 / 17 = 15.61

Each student should raise 15.61.

Hope this helps.

Answer:

Its 5 i think? You just count how many units from point A to Point B is.

Answer:

D

Step-by-step explanation:

Answer:

The square root of 465 with one digit decimal accuracy is 21.5.

Step-by-step explanation:

√465 = 21.5