In the figure, AB CD and mZ2 = 55°.
What is mZ8?

9514 1404 393

Answer:

  25.8°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the trig relations in a right triangle.

  Cos = Adjacent/Hypotenuse

  cos(x) = (9 cm)/(10 cm) = 0.9

Using the inverse cosine function, we can find the angle given its cosine.

  x = arccos(0.9) ≈ 25.8°

Angle x is about 25.8°.

.05866 as a fraction is 2933 / 50000

Explanation: Convert to a mixed number by placing the numbers to the right of the decimal over 100000. Then reduce the fraction.

Answer: Choice B)  2x-60 = 180

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Explanation:

A bit of the question got cut off. I'm assuming the full question reads "In this diagram, the measure of angle RQS is 60 degrees less than the measure of angle PQS"

The portion underlined is the part cut off where I'm making the assumption. If that assumption is correct, then we have

Those two adjacent angles form a straight line of 180 degrees

(anglePQS) + (angleRQS) = 180

(x) + (x-60) = 180

2x-60 = 180

which points to choice B as the answer.

Answer:

Step-by-step explanation:

∠RQS = x - 60°

∠RQS = 180° - x

x - 60° = 180° - x

2x - 60° = 180°

Answer:

266%

Step-by-step explanation:

133/50 =

2 33/50 =

266 %

Hope that helps!

Answer:

lol 266%

Step-by-step explanation:

hope this helps!

Answer:

700*44.5/100 will be what we have to reduce from £700.

So we have to reduce £311.5 from  £700

Which gives us £388.5

Answer:

I think 29

I don't know if it's right

Answer:

1.6/20

2.14/20

Step-by-step explanation:

Answer:

here you go

Step-by-step explanation:

Answer:

[tex]\frac{m^{6}}{5}[/tex] / [tex]\frac{5}{m^2}[/tex] = [tex]\frac{m^8}{25}[/tex]

Step-by-step explanation:

  [tex]\frac{m^{6}}{5}[/tex] / [tex]\frac{5}{m^2}[/tex]

= [tex]\frac{m^{6}}{5}[/tex] * [tex]\frac{m^2}{5}[/tex]

= [tex]\frac{m^8}{25}[/tex]

Answer:

yes, the volume would be increased by 4

Step-by-step explanation:

the volume for a box is l x w x h

lets say l = 4, w = 3, and h = 2

this would give us a volume of 24

now calculate the new volume: l x w x 4h

4 x 3 x (4 x 2) = 96 which is 4 times bigger than 24

Answer:

A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is (5 ) units. the point (-7, -1) and point (-7, 5) lies in this circle.

Step-by-step explanation:

equation of circle is

(X-center_X)^2 + (y-center_Y)^2 = r^2

==> (x+3)^2 + (y-2)^2 = r^2

Now it passes 1,5 so

4^2+3^2 = 5^2

==> r = 5

when x = -7

y = -1 or 5

Answer:

x = -36

Step-by-step explanation:

Add 12 to both sides

x - 12 + 12 = x

(12 cancels out)

-48 + 12 = -36

x = -36

Answer:

x=1

Step-by-step explanation:

Answer:

x= 1  and x= -1

Step-by-step explanation:

[tex]5x^{2} +2=7[/tex]

(subtract 2 from both sides)

[tex]5x^{2} =5[/tex]

(divide by 5 from both sides)

[tex]x^{2} =1[/tex]

(take the square root from both sides)

x=±√1

so,

x= 1

and

x= -1

Answer:

[tex] - 26 \sqrt{3} [/tex]

I'm sure about the answer.

Answer:

7

9+12/3-6

12/3=4

9+4-6

9+4=13

13-6=(7)

Step-by-step explanation:

Answer:

x=21

Step-by-step explanation:

17x + 50 should equal to 19x + 8

so,

50 - 8 = 42 it means 42 shoul equal to (19x - 17x) = 2x.

so if 2x = 42 = 2x/2 = 42/2 = x = 21...

Answer:

C

Step-by-step explanation:

when it asks for the zeroes its asking for when the equation passes the x=0 and it passes x=0 at (0,-3) and (0,1) so the answer is c

hope this helps (:

Answer:

Step-by-step explanation:

57.6

Answer:

Approximately 7 people.

Step-by-step explanation:

Make a proportion of x/6 and divide 40 by 6. We get 6.23333...

This is approximately 7 people.

Answer:

Your correct answer is x = 42 .

My Step-by-step explanation:

Just turn the problem around by changing the subtraction to addition: 100 – x = 58 means the same thing as 100 – 58 = x, so x = 42.

Step-by-step explanation:

Suppose the cost of each t-shirt is x

and the cost of each hat is y

according to question

[tex]\Rightarrow 2x+3y=12\quad \ldots(i)\\\Rightarrow 5x+4y=23\quad \ldots(ii)\\\text{solving (i) and (ii) we get}[/tex]

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

So, the cost of a t-shirt is £3

the cost of a hat is £2

Answer:

44

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

(x-4)^2=5

(x-4)(x-4)=5

x(x-4)-4(x-4)=5

distribute

x^2-4x-4x+16=5

combine like terms

x^2-8x+16=5

move terms to the left and combine

x^2-8x+11=0

use the quadratic formula and simplify

x=-(-8)+/-2 to the square roots of 5 over 2

separate and solve

x=4+ square root of 5

x=4- square root of 5

ANSWER: x=4+/- square root of 5

Answer:

21. yes 22. yes 23: no 24:no 25:yes

EZ

Answer:

x>3

Step-by-step explanation:

Answer:x<3

Step-by-step explanation:because

Correct method to factor this expression are:

Factor by grouping.

Factor out the GCF.

A number or other mathematical object is factorised or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. The four primary methods of factoring are the Grouping technique, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF). Numerous issues might be resolved by using the factoring of integers. Similar to this, factoring is an extremely effective method in algebra that is utilised at all levels. It offers a common approach to simplifying complex statements as well as, of course, solving quadratic equations.

The equation becomes:

= 4x² - 26x + 30

= 2 (2x² - 13x + 15)

= 2 (2x² - 10x - 3x + 15)

= 2 {2x (x - 5) - 3 (x - 5)}

= 2 (2x - 3) (x - 5)

Thus, the two methods are the best choices to factor this express are:

Factor by grouping.

Factor out the GCF.

To know more about factor refer to:

https://brainly.com/question/25829061

#SPJ1

Step-by-step explanation:

4.66666 yard 14 feet =4yd 2 feet

Answer:

89, 78, 67, 56

Step-by-step explanation:

The next four terms of the arithmetic sequence is

As we can see that from the given sequence that 11 is deducted from each following number

122, 111, 100, 89, 78, 67, 56

122, (122 - 11), (111 - 11)

So the above represent the next four terms

Answer:

Step-by-step explanation:

3(x+2) -10 = 4x + 6 +x

3x +6 -10 = 5x+6

-10 = 2x

x = -5

One solution