All categories

3 years ago

The question is in the image! Please help if u can its due really soon

Mathematics

1 answer:

Leno4ka [110]3 years ago

4 0

Answer:

Angle STR = 78°

Step-by-step explanation:

So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:

20x + 12 + 10x + 33 = 180

Combine like terms

30x + 45 = 180

Subtract 45 from both sides

30x = 135

Divide both sides by 30

x = 4.5

Now we know the value of x. We just need to plug it into angle STR's given value:

10(4.5) + 33 = angle STR

45 + 33 = angle STR

78° = angle STR

You might be interested in

Guys help me with this question.

Vladimir79 [104]

100/-24 = -4 :)))))))

8 0

3 years ago

Let f(x)=x^2+2 and g(x)=2x,find (fog)( x)

Artist 52 [7]

Answer:

Step-by-step explanation:

f(x) = x² + 2

g(x) = 2x

To find (fog)( x) substitute g(x) into f(x) that's for every x in f (x) replace it with g (x)

We have

(fog)( x) = ( 2x)² + 2

We have the final answer as

Hope this helps you

3 0

3 years ago

Joe has one book each for algebra, geometry, history, psychology, Spanish, English and Physics in his locker. How many different

Alisiya [41]

Answer:

There are 35 different sets of 3 books Joe could choose

Step-by-step explanation:

* Lets explain how to solve the problem

- Combination is a collection of the objects where the order doesn't

matter

- The formula for the number of possible combinations of r objects from

a set of n objects is nCr = n!/r!(n-r)!

- n! = n(n - 1)(n - 2)................. × 1

Lets solve the problem

- Joe has one book each for algebra, geometry, history, psychology,

Spanish, English and Physics in his locker

∴ He has <em>seven</em> books in the locker

- He wants to chose <em>three</em> of them

∵ The order is not important when he chose the books

∴ We will use the combination <em>nCr</em> to find how many different sets

of three books he can choose

- The total number of books is 7

∴ n = 7

∵ He chooses 3 of them

∴ r = 3

∵ 7C3 = 7!/3!(7 - 3)! = 7!/3!(4!)

∴ $7C3=\frac{(7)(6)(5)(4)(3)(2)(1)}{[(3)(2)(1)][(4)(3)(2)(1)]}=35$

∴ 7C3 = 35

* There are 35 different sets of 3 books Joe could choose

3 0

3 years ago

Find the missing side lengths

AURORKA [14]

Answer:

X = 18

Y = 9√3

Step-by-step explanation:

use sin equation for right angle triangle

The sine of the angle

= ( the length of the opposite side ÷ the length of the hypotenuse.)

according to this question,

sin 30 = 9 / X

1/2 = 9 / X

X = 18

use cosine to find y

The cosine of the angle

= (the length of the adjacent side ÷ the length of the hypotenuse.)

cos 30 = y/x

√3/2 = y/ 18

y = 9 ✓3

5 0

3 years ago

Which of the following statements are true and which are false? Give reasons for your answers.(i) Only one line can pass through

liubo4ka [24]

Complete Question

Which of the following statements are true and which are false? Give reasons for your answers.

(i) Only one line can pass through a single point.

(ii) There are an infinite number of lines which pass through two distinct points.

(iii) A line can be produced indefinitely on both sides.

(iv) If two circles are equal, then their radii are equal.

(v) if AB=PQ and PQ=XY, then AB=XY.

A (i),(ii) - True

(iii),(iv),(v)-False

B(i),(ii),(iii) -True

(iv),(v)-False

C (i),(ii) -False

(iii),(iv),(v)-True

D (i),(ii),(iii) -False

(iv),(v)-True

Answer:

The correct option is C

Step-by-step explanation:

i is false because several lines can pass through a single point

ii is false because only one line can pass through two distinct points

iii is true because you can extend a line from both points (start and end points )

iv is true because when two equal circle are placed together and radius is trace we will discover that they are equal

v is true because from Euclid's First Axiom , if a= c and c = d the a = d

4 0

3 years ago