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3 years ago

(please help and explain) will mark brainliest!!

Mathematics

1 answer:

9966 [12]3 years ago

7 0

Answer:

x = 40

Step-by-step explanation:

Angles SRT and STR are congruent, so they have the same measure.

The measure of <SRT is 20, so the measure of <STR is also 20.

Angles STR and STU form a linear pair. Two angles that form a linear pair are supplementary, so their measures add up to 180.

m<STR + m<STU = 180

20 + 4x = 180

4x = 160

x = 40

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15. Simplify sin(90° - O) cos 0 - sin(180° +0) sin e.

dalvyx [7]

Answer: cos²(θ) + sin(θ)sin(e)

Step-by-step explanation:

sin (90° - θ)cos(Ф) - sin(180° + θ) sin(e)

Note the following identities:

sin (90° - θ) = cos(x)

sin (180° + θ) = -sin(x)

Substitute those identities into the expression:

cos(x)cos(x) - -sin(x)sin(e)

= cos²(x) + sin(x)sin(e)

4 0

3 years ago

Plz help due tonight

Monica [59]

Answer:

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5 0

3 years ago

What is the value of x? Enter your answer in the box. x =

avanturin [10]

Answer:

x=20

Step-by-step explanation:

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7 0

3 years ago

Read 2 more answers

(7q3r2 + 5qr2 + 23q) + (−5qr2 − qr² − 11q − 4q3r2) adding polynomials horizontally

zysi [14]

You can remove the parentheses:-

= 7q^3r^2 + 5qr^2 + 23q + −5qr^2 − qr^2 − 11q − 4q^3r^2 ( because there is + outside)

Bring like terms together

= 7q^3r^2 − 4q^3r^2 + 5qr^2 − 5qr^2 − qr^2 + 23q − 11q

= 3q^3r^2 - qr^2 + 12q answer

5 0

3 years ago

a rectangular pool has an area of 640 square feet. the is 12 feet shorter than the width. the length of the pool is feet and the

Ray Of Light [21]

Given:

Area of rectangular pool = 640 square feet

The length is 12 feet shorter than the width.

To find:

The length and width of the pool.

Solution:

Let width of the pool = x feet

Then, Length of the pool = (x-12) feet

Area of a rectangle is

$Area=length\times width$

$Area=(x-12)\times x$

Area of pool is 640 square feet. So,

$(x-12)x=640$

$x^2-12x-640=0$

Splitting the middle term, we get

$x^2-32x+20x-640=0$

$x(x-32)+20(x-32)=0$

$(x+20)(x-32)=0$

Using zero product property, we get

$x=-20,32$

Dimensions cannot be negative. So, x=32.

Now,

Width of the pool = 32 feet

Length of the pool = 32-12 = 20 feet

Therefore, the length of the pool is 20 feet and width is 32 feet.

7 0

3 years ago